1 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 12.1 PERCENT PROTEIN. MAKE THE RATION CONTAIN 5 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 7.5 Oats 11 SOYBEAN MEAL 44.1 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 79.3 1586 5 100 12.7 253.9999 .9288108 18.57622 .8538827 17.07765 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 1.730645E-02 ----------100 2000 PERCENT LYSINE IN RATION = .6045799 .3461289 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 1 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .121 ) = ( .075 )(X) + ( .11 )( 5 ) + (100- 3 - 5 -X)( .441 ) PROTEIN CORN Oats SBM 12.1 = .075 X + .55 12.1 = .075 X + .55 12.1 - 40.572 - .55 = .075 -29.022 = -.366 X 79.3 = X 12.7 = 92 ( 5 ) + ( 92 -X)( .441 ) + 40.572 - .441 X X - .441 X ( .11 ) = STEP 2: (100 lbs) ( .121 ) = 12.1 - .55 = 11.55 STEP 3: 100- 5 - 3 = 92 11.55 / 92 = - X STEP 4: ---------- 31.5 : : : 12.6 : : : 44.1 ---------5.1 --------36.6 CORN = 79.3 Oats = 5 SBM = 12.7 7.5 MINERALS -- .6 PERCENT CA AND .55 (100-AMT Oats-AMT EMPTY) 12.6 31.5 5.1 / / 36.6 36.6 .5 PERCENT P P IN GRAIN = (.0029)( 79.3 ) + (.0044)( 5 ) + (.006)( 12.7 ) = CORN Oats SBM .22997 + .022 + 7.619999E-02 = P STILL NEEDED = .5 - .32817 = .17183 AMT DICAL TO USE = .17183 / .185 = .9288108 CA IN GRAIN + DICAL = (.0002)( 79.3 ) + (.0010)( 5 ) + (.0025)( 12.7 ) + (.24)( .9288108 ) = .01586 + .005 + 3.174999E-02 + .2229146 CA STILL NEEDED = .6 - .2755246 = .3244754 LIMESTONE TO USE TO GET .3244754 LBS CA = .3244754 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .8538827 12.1 .2755246 .32817 x x 92 92 = = 79.3 12.7 2 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 17.6 PERCENT PROTEIN. MAKE THE RATION CONTAIN 9 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.3 Oats 12.1 SOYBEAN MEAL 45.7 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 63.4 9 24.6 .696973 .9198592 0.25 0.10 0.05 0.30 0.40 0.10 .1831677 ------ 100 PERCENT LYSINE IN RATION = TON 1268 180 492 13.93946 18.39718 5 2 1 6 8 2 3.663354 -----2000 .94794 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 2 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .176 ) = ( .083 )(X) + ( .121 )( 9 ) + (100- 3 - 9 -X)( .457 ) PROTEIN CORN Oats SBM 17.6 = .083 X + 1.089 17.6 = .083 X + 1.089 17.6 - 40.216 - 1.089 = .083 -23.705 = -.374 X 63.4 = X 24.6 = 88 ( 9 ) + ( 88 -X)( .457 ) + 40.216 - .457 X X - .457 X ( .121 ) = STEP 2: (100 lbs) ( .176 ) = 17.6 17.6 - 1.089 = 16.511 STEP 3: 100- 9 - 3 = 88 (100-AMT Oats-AMT EMPTY) 16.511 / 88 = 18.8 - X STEP 4: ---------- 26.9 : : : 18.8 : : : 45.7 ---------10.5 --------37.4 CORN = 63.4 Oats = 9 SBM = 24.6 8.3 MINERALS -- .6 PERCENT CA AND 1.089 26.9 / 37.4 x 88 = 63.4 10.5 / 37.4 x 88 = 24.6 .5 PERCENT P P IN GRAIN = (.0029)( 63.4 ) + (.0044)( 9 ) + (.006)( 24.6 ) = CORN Oats SBM .18386 + .0396 + .1476 = .37106 P STILL NEEDED = .5 - .37106 = .12894 AMT DICAL TO USE = .12894 / .185 = .696973 CA IN GRAIN + DICAL = (.0002)( 63.4 ) + (.0010)( 9 ) + (.0025)( 24.6 ) + (.24)( .696973 ) = .2504535 .01268 + 9.000001E-03 + 6.149999E-02 + .1672735 CA STILL NEEDED = .6 - .2504535 = .3495465 LIMESTONE TO USE TO GET .3495465 LBS CA = .3495465 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .9198592 3 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 18.1 PERCENT PROTEIN. MAKE THE RATION CONTAIN 15 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 7.5 Oats 12.5 SOYBEAN MEAL 48.8 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 57.6 15 24.4 .6516756 .937047 0.25 0.10 0.05 0.30 0.40 0.10 .2112772 ------ 100 PERCENT LYSINE IN RATION = TON 1152 300 488 13.03351 18.74094 5 2 1 6 8 2 4.225545 -----2000 .9864601 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 3 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .181 ) = ( .075 )(X) + ( .125 )( 15 ) + (100- 3 - 15 -X)( .488 ) PROTEIN CORN Oats SBM 18.1 = .075 X + 1.875 18.1 = .075 X + 1.875 18.1 - 40.016 - 1.875 = .075 -23.791 = -.413 X 57.6 = X 24.4 = 82 ( 15 ) + ( 82 -X)( .488 ) + 40.016 - .488 X X - .488 X ( .125 ) = STEP 2: (100 lbs) ( .181 ) = 18.1 18.1 - 1.875 = 16.225 STEP 3: 100- 15 - 3 = 82 16.225 / 82 = - X STEP 4: ---------- 29 : : : 19.8 : : : 48.8 ---------12.3 --------41.3 CORN = 57.6 Oats = 15 SBM = 24.4 7.5 MINERALS -- .6 PERCENT CA AND 1.875 (100-AMT Oats-AMT EMPTY) 19.8 29 / 41.3 12.3 / .5 PERCENT P P IN GRAIN = (.0029)( 57.6 ) + (.0044)( 15 ) + (.006)( 24.4 ) = CORN Oats SBM .16704 + .066 + .1464 = .37944 P STILL NEEDED = .5 - .37944 = .12056 AMT DICAL TO USE = .12056 / .185 = .6516756 CA IN GRAIN + DICAL = (.0002)( 57.6 ) + (.0010)( 15 ) + (.0025)( 24.4 ) + (.24)( .6516756 ) = .01152 + .015 + .061 + .1564022 CA STILL NEEDED = .6 - .2439222 = .3560778 LIMESTONE TO USE TO GET .3560778 LBS CA = .3560778 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .937047 .2439222 x 82 = 57.6 41.3 x 82 = 24.4 4 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 12.3 PERCENT PROTEIN. MAKE THE RATION CONTAIN 10 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.1 Oats 12.7 SOYBEAN MEAL 48.7 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 77.2 1544 10 200 9.800003 196.0001 .9368649 18.7373 .8558223 17.11645 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 7.312775E-03 ----------100 2000 PERCENT LYSINE IN RATION = .5645201 .1462555 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 4 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .123 ) = ( .081 )(X) + ( .127 )( 10 ) + (100- 3 - 10 -X)( .487 ) PROTEIN CORN Oats SBM 12.3 = .081 X + 1.27 12.3 = .081 X + 1.27 12.3 - 42.369 - 1.27 = .081 -31.339 = -.406 X 77.2 = X 9.800003 = 87 ( 10 ) + ( 87 -X)( .487 ) + 42.369 - .487 X X - .487 X ( .127 ) = 1.27 STEP 2: (100 lbs) ( .123 ) = 12.3 12.3 - 1.27 = 11.03 STEP 3: 100- 10 - 3 11.03 / - X = 87 87 = (100-AMT Oats-AMT EMPTY) 12.7 STEP 4: ---------- 36 36 : : : 12.7 : : : 48.7 ---------4.599999 8.1 / 40.6 x 4.599999 87 = / 40.6 9.800003 --------40.6 CORN = 77.2 Oats = 10 SBM = 9.800003 MINERALS -- .6 PERCENT CA AND .5 PERCENT P P IN GRAIN = (.0029)( 77.2 ) + (.0044)( 10 ) + (.006)( 9.800003 ) = CORN Oats SBM .22388 + .044 + 5.880002E-02 = P STILL NEEDED = .5 - .32668 = .17332 AMT DICAL TO USE = .17332 / .185 = .9368649 CA IN GRAIN + DICAL = (.0002)( 77.2 ) + (.0010)( 10 ) + (.0025)( 9.800003 ) + (.24)( .9368649 ) = .01544 + .01 + 2.450001E-02 + .2248476 CA STILL NEEDED = .6 - .2747876 = .3252124 LIMESTONE TO USE TO GET .3252124 LBS CA = .3252124 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .8558223 .2747876 .32668 77.2 x 87 = 5 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 19.6 PERCENT PROTEIN. MAKE THE RATION CONTAIN 10 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.8 Oats 11.1 SOYBEAN MEAL 49.6 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 60.4 10 26.6 .6553515 .931936 0.25 0.10 0.05 0.30 0.40 0.10 .2127125 ------ 100 PERCENT LYSINE IN RATION = TON 1208 200 532 13.10703 18.63872 5 2 1 6 8 2 4.254251 -----2000 1.00804 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 5 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .196 ) = ( .088 )(X) + ( .111 )( 10 ) + (100- 3 - 10 -X)( .496 ) PROTEIN CORN Oats SBM 19.6 = .088 X + 1.11 19.6 = .088 X + 1.11 19.6 - 43.152 - 1.11 = .088 -24.662 = -.408 X 60.4 = X 26.6 = 87 ( 10 ) + ( 87 -X)( .496 ) + 43.152 - .496 X X - .496 X ( .111 ) = STEP 2: (100 lbs) ( .196 ) = 19.6 19.6 - 1.11 = 18.49 STEP 3: 100- 10 - 3 18.49 / - X = 87 87 = STEP 4: ---------- 28.3 : : : 21.3 : : : 49.6 ---------12.5 --------40.8 CORN = 60.4 Oats = 10 SBM = 26.6 8.8 MINERALS -- .6 PERCENT CA AND 1.11 (100-AMT Oats-AMT EMPTY) 21.3 28.3 / 40.8 x 87 = 60.4 12.5 / 40.8 x 87 = 26.6 .5 PERCENT P P IN GRAIN = (.0029)( 60.4 ) + (.0044)( 10 ) + (.006)( 26.6 ) = CORN Oats SBM .17516 + .044 + .1596 = .37876 P STILL NEEDED = .5 - .37876 = .12124 AMT DICAL TO USE = .12124 / .185 = .6553515 CA IN GRAIN + DICAL = (.0002)( 60.4 ) + (.0010)( 10 ) + (.0025)( 26.6 ) + (.24)( .6553515 ) = .01208 + .01 + 6.649999E-02 + .1572843 CA STILL NEEDED = .6 - .2458643 = .3541357 LIMESTONE TO USE TO GET .3541357 LBS CA = .3541357 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .931936 .2458643 6 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 16.1 PERCENT PROTEIN. MAKE THE RATION CONTAIN 12 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.8 Oats 11.1 SOYBEAN MEAL 47.5 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 66.2 12 18.8 .7698378 .9026288 0.25 0.10 0.05 0.30 0.40 0.10 .1275333 ------ 100 PERCENT LYSINE IN RATION = TON 1324 240 376.0001 15.39676 18.05258 5 2 1 6 8 2 2.550666 -----2000 .8167201 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 6 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .161 ) = ( .088 )(X) + ( .111 )( 12 ) + (100- 3 - 12 -X)( .475 ) PROTEIN CORN Oats SBM 16.1 = .088 X + 1.332 16.1 = .088 X + 1.332 16.1 - 40.375 - 1.332 = .088 -25.607 = -.387 X 66.2 = X 18.8 = 85 ( 12 ) + ( 85 -X)( .475 ) + 40.375 - .475 X X - .475 X ( .111 ) = 1.332 STEP 2: (100 lbs) ( .161 ) = 16.1 16.1 - 1.332 = 14.768 STEP 3: 100- 12 - 3 = 85 14.768 / 85 = - X STEP 4: ---------: : : 17.4 : : : 47.5 ---------8.8 30.1 (100-AMT Oats-AMT EMPTY) 17.4 30.1 8.599999 --------38.7 CORN = 66.2 Oats = 12 SBM = 18.8 -- .6 PERCENT CA AND .5 PERCENT P P IN GRAIN = (.0029)( 66.2 ) + (.0044)( 12 ) + (.006)( 18.8 ) = CORN Oats SBM .19198 + .0528 + .1128 = .35758 P STILL NEEDED = .5 - .35758 = .14242 AMT DICAL TO USE = .14242 / .185 = .7698378 CA IN GRAIN + DICAL = (.0002)( 66.2 ) + (.0010)( 12 ) + (.0025)( 18.8 ) + (.24)( .7698378 ) = .01324 + .012 + 4.700001E-02 + .1847611 CA STILL NEEDED = .6 - .2570011 = .342999 LIMESTONE TO USE TO GET .342999 LBS CA = .342999 / .38 = .9026288 TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 38.7 8.599999 18.8 MINERALS / .2570011 x / 85 38.7 = x 66.2 85 = 7 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 14.3 PERCENT PROTEIN. MAKE THE RATION CONTAIN 9 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.5 Oats 12.2 SOYBEAN MEAL 45.5 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 72.5 1450 9 180 15.5 310 .8494595 16.98919 .878631 17.57262 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 7.190943E-02 ----------100 2000 PERCENT LYSINE IN RATION = .7077 1.438189 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 7 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .143 ) = ( .085 )(X) + ( .122 )( 9 ) + (100- 3 - 9 -X)( .455 ) PROTEIN CORN Oats SBM 14.3 = .085 X 14.3 = .085 X 14.3 - 40.04 - 1.098 -26.838 = -.37 72.5 = X 15.5 = 88 + + = X ( 9 ) 1.098 + ( 88 -X)( .455 ) 1.098 + 40.04 - .455 X .085 X - .455 X ( .122 ) = STEP 2: (100 lbs) ( .143 ) = 14.3 14.3 - 1.098 = 13.202 STEP 3: 100- 9 - 3 13.202 - X = / 88 88 STEP 4: ---------- 30.5 : : : 15 : : : 45.5 ---------6.5 --------37 CORN = 72.5 Oats = 9 SBM = 15.5 8.5 MINERALS -- .6 PERCENT CA AND 1.098 = (100-AMT Oats-AMT EMPTY) 15 30.5 6.5 .5 PERCENT P P IN GRAIN = (.0029)( 72.5 ) + (.0044)( 9 ) + (.006)( 15.5 ) = CORN Oats SBM .21025 + .0396 + .093 = .34285 P STILL NEEDED = .5 - .34285 = .15715 AMT DICAL TO USE = .15715 / .185 = .8494595 CA IN GRAIN + DICAL = (.0002)( 72.5 ) + (.0010)( 9 ) + (.0025)( 15.5 ) + (.24)( .8494595 ) = .0145 + 9.000001E-03 + .03875 + .2038703 CA STILL NEEDED = .6 - .2661203 = .3338798 LIMESTONE TO USE TO GET .3338798 LBS CA = .3338798 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .878631 .2661203 / / 37 37 x x 88 88 = = 72.5 15.5 8 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 18.6 PERCENT PROTEIN. MAKE THE RATION CONTAIN 18 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.8 Oats 12.1 SOYBEAN MEAL 49.9 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 56 18 23 .6508108 .9397511 0.25 0.10 0.05 0.30 0.40 0.10 .209438 ------ 100 PERCENT LYSINE IN RATION = TON 1120 360 460 13.01622 18.79502 5 2 1 6 8 2 4.188759 -----2000 .9714 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 8 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .186 ) = ( .088 )(X) + ( .121 )( 18 ) + (100- 3 - 18 -X)( .499 ) PROTEIN CORN Oats SBM 18.6 = .088 X + 2.178 18.6 = .088 X + 2.178 18.6 - 39.421 - 2.178 = .088 -22.999 = -.411 X 56 = X 23 = 79 ( 18 ) + ( 79 -X)( .499 ) + 39.421 - .499 X X - .499 X ( .121 ) = STEP 2: (100 lbs) ( .186 ) = 18.6 18.6 - 2.178 = 16.422 STEP 3: 100- 18 - 3 = 16.422 / 79 - X 79 (100-AMT Oats-AMT EMPTY) = 20.8 STEP 4: ---------- 29.1 : : : 20.8 : : : 49.9 ---------12 --------41.1 CORN = 56 Oats = 18 SBM = 23 8.8 MINERALS -- .6 PERCENT CA AND .5 PERCENT P P IN GRAIN = (.0029)( 56 ) + (.0044)( 18 ) + (.006)( 23 ) = CORN Oats SBM .1624 + .0792 + .138 = .3796 P STILL NEEDED = .5 - .3796 = .1204 AMT DICAL TO USE = .1204 / .185 = .6508108 CA IN GRAIN + DICAL = (.0002)( 56 ) + (.0010)( 18 ) + (.0025)( 23 ) + (.24)( .6508108 ) = .0112 + .018 + .0575 + .1561946 CA STILL NEEDED = .6 - .2428946 = .3571054 LIMESTONE TO USE TO GET .3571054 LBS CA = .3571054 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 2.178 .9397511 .2428946 29.1 12 / / 41.1 41.1 x x 79 = 79 = 23 56 9 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 13.8 PERCENT PROTEIN. MAKE THE RATION CONTAIN 13 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.6 Oats 12.9 SOYBEAN MEAL 45.4 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 70.7 1414 13 260 13.3 266.0001 .8538918 17.07784 .8807263 17.61453 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 6.538177E-02 ----------100 2000 PERCENT LYSINE IN RATION = .6788201 1.307635 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 9 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .138 ) = ( .086 )(X) + ( .129 )( 13 ) + (100- 3 - 13 -X)( .454 ) PROTEIN CORN Oats SBM 13.8 = .086 X + 1.677 13.8 = .086 X + 1.677 13.8 - 38.136 - 1.677 = .086 -26.013 = -.368 X 70.7 = X 13.3 = 84 ( 13 ) + ( 84 -X)( .454 ) + 38.136 - .454 X X - .454 X ( .129 ) = 1.677 STEP 2: (100 lbs) ( .138 ) = 13.8 13.8 - 1.677 = 12.123 STEP 3: 100- 13 - 3 = 84 12.123 / 84 = - X STEP 4: ---------: : : 14.4 : : : 45.4 ---------8.6 31 31 (100-AMT Oats-AMT EMPTY) 14.4 / 5.799999 36.8 x 5.799999 13.3 --------36.8 CORN = 70.7 Oats = 13 SBM = 13.3 MINERALS -- .6 PERCENT CA AND .5 PERCENT P P IN GRAIN = (.0029)( 70.7 ) + (.0044)( 13 ) + (.006)( 13.3 ) = CORN Oats SBM .20503 + .0572 + 7.980002E-02 P STILL NEEDED = .5 - .34203 = .15797 AMT DICAL TO USE = .15797 / .185 = .8538918 CA IN GRAIN + DICAL = (.0002)( 70.7 ) + (.0010)( 13 ) + (.0025)( 13.3 ) + (.24)( .8538918 ) = .01414 + .013 + 3.325001E-02 + .204934 CA STILL NEEDED = .6 - .265324 = .334676 LIMESTONE TO USE TO GET .334676 LBS CA = .334676 / .38 = .8807263 TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .265324 = .34203 84 = 70.7 / 36.8 x 84 = 10 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 12.8 PERCENT PROTEIN. MAKE THE RATION CONTAIN 13 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 9.1 Oats 12.3 SOYBEAN MEAL 44 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 73.8 13 10.2 .9058379 .8666814 0.25 0.10 0.05 0.30 0.40 0.10 .0274806 ------ 100 PERCENT LYSINE IN RATION = TON 1476 260 203.9999 18.11676 17.33363 5 2 1 6 8 2 .549612 -----2000 .5969799 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 10 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .128 ) = ( 9.100001E-02 )(X) + ( .123 )( 13 ) + (100- 3 - 13 -X)( .44 ) PROTEIN CORN Oats SBM ( 13 ) 12.8 = 9.100001E-02 X + 1.599 + ( 84 -X)( .44 ) 12.8 = 9.100001E-02 X + 1.599 + 36.96 - .44 X 12.8 - 36.96 - 1.599 = 9.100001E-02 X - .44 X -25.759 = -.349 X 73.8 = X 10.2 = 84 STEP 3: 100- 13 - 3 = 84 11.201 / 84 = - X 44 -- .6 PERCENT CA AND 1.599 STEP 2: (100 lbs) ( .128 ) = 12.8 12.8 - 1.599 = 11.201 9.1 MINERALS ( .123 ) = STEP 4: ---------- 30.7 : : : 13.3 : : : ---------4.2 --------34.9 CORN = 73.8 Oats = 13 SBM = 10.2 (100-AMT Oats-AMT EMPTY) 13.3 30.7 4.2 / 6.119998E-02 = / 34.9 34.9 x .5 PERCENT P P IN GRAIN = (.0029)( 73.8 ) + (.0044)( 13 ) + (.006)( 10.2 ) = CORN Oats SBM .21402 + .0572 + P STILL NEEDED = .5 - .33242 = .16758 AMT DICAL TO USE = .16758 / .185 = .9058379 CA IN GRAIN + DICAL = (.0002)( 73.8 ) + (.0010)( 13 ) + (.0025)( 10.2 ) + (.24)( .9058379 ) = .01476 + .013 + 2.549999E-02 + .2174011 CA STILL NEEDED = .6 - .2706611 = .3293389 LIMESTONE TO USE TO GET .3293389 LBS CA = .3293389 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .8666814 .2706611 .33242 x 84 = 73.8 84 = 10.2 11 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 12.8 PERCENT PROTEIN. MAKE THE RATION CONTAIN 5 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 7.5 Oats 12.5 SOYBEAN MEAL 45.7 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 78.2 1564 5 100 13.8 276.0001 .9103783 18.20757 .8588664 17.17733 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 3.075528E-02 ----------100 2000 PERCENT LYSINE IN RATION = .6336201 .6151056 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 11 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .128 ) = ( .075 )(X) + ( .125 )( 5 ) + (100- 3 - 5 -X)( .457 ) PROTEIN CORN Oats SBM 12.8 = .075 X + .625 12.8 = .075 X + .625 12.8 - 42.044 - .625 = .075 -29.869 = -.382 X 78.2 = X 13.8 = 92 ( 5 ) + ( 92 -X)( .457 ) + 42.044 - .457 X X - .457 X ( .125 ) = STEP 2: (100 lbs) ( .128 ) = 12.8 12.8 - .625 = 12.175 STEP 3: 100- 5 - 3 = 92 (100-AMT Oats-AMT EMPTY) 12.175 / 92 = 13.2 - X STEP 4: ---------- 32.5 : : : 13.2 : : : 45.7 ---------5.7 --------38.2 CORN = 78.2 Oats = 5 SBM = 13.8 7.5 MINERALS -- .6 PERCENT CA AND .625 32.5 5.7 / / 38.2 38.2 .5 PERCENT P P IN GRAIN = (.0029)( 78.2 ) + (.0044)( 5 ) + (.006)( 13.8 ) = CORN Oats SBM .22678 + .022 + 8.280002E-02 = P STILL NEEDED = .5 - .33158 = .16842 AMT DICAL TO USE = .16842 / .185 = .9103783 CA IN GRAIN + DICAL = (.0002)( 78.2 ) + (.0010)( 5 ) + (.0025)( 13.8 ) + (.24)( .9103783 ) = .01564 + .005 + 3.450001E-02 + .2184908 CA STILL NEEDED = .6 - .2736308 = .3263692 LIMESTONE TO USE TO GET .3263692 LBS CA = .3263692 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .8588664 .2736308 .33158 x x 92 92 = = 78.2 13.8 12 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 14.3 PERCENT PROTEIN. MAKE THE RATION CONTAIN 19 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.1 Oats 11.6 SOYBEAN MEAL 49.6 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 64.1 19 13.9 .7951891 .9015386 0.25 0.10 0.05 0.30 0.40 0.10 .1032723 ------ 100 PERCENT LYSINE IN RATION = TON 1282 380 278 15.90378 18.03077 5 2 1 6 8 2 2.065446 -----2000 .7384601 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 12 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .143 ) = ( .081 )(X) + ( .116 )( 19 ) + (100- 3 - 19 -X)( .496 ) PROTEIN CORN Oats SBM 14.3 = .081 X + 2.204 14.3 = .081 X + 2.204 14.3 - 38.688 - 2.204 = .081 -26.592 = -.415 X 64.1 = X 13.9 = 78 ( 19 ) + ( 78 -X)( .496 ) + 38.688 - .496 X X - .496 X ( .116 ) = STEP 2: (100 lbs) ( .143 ) = 14.3 14.3 - 2.204 = 12.096 STEP 3: 100- 19 - 3 = 78 12.096 / 78 = - X STEP 4: ---------- 34.1 : : : 15.5 : : : 49.6 ---------7.4 --------41.5 CORN = 64.1 Oats = 19 SBM = 13.9 8.1 MINERALS -- .6 PERCENT CA AND 2.204 (100-AMT Oats-AMT EMPTY) 15.5 34.1 7.4 / / 41.5 41.5 .5 PERCENT P P IN GRAIN = (.0029)( 64.1 ) + (.0044)( 19 ) + (.006)( 13.9 ) = CORN Oats SBM .18589 + .0836 + 8.340001E-02 P STILL NEEDED = .5 - .35289 = .14711 AMT DICAL TO USE = .14711 / .185 = .7951891 CA IN GRAIN + DICAL = (.0002)( 64.1 ) + (.0010)( 19 ) + (.0025)( 13.9 ) + (.24)( .7951891 ) = .01282 + .019 + .03475 + .1908454 CA STILL NEEDED = .6 - .2574154 = .3425846 LIMESTONE TO USE TO GET .3425846 LBS CA = .3425846 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .9015386 .2574154 = .35289 x x 78 78 = = 64.1 13.9 13 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 15.2 PERCENT PROTEIN. MAKE THE RATION CONTAIN 14 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 7.9 Oats 11.3 SOYBEAN MEAL 44.9 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 63.9 14 19.1 .7485947 .9100193 0.25 0.10 0.05 0.30 0.40 0.10 .141386 ------ 100 PERCENT LYSINE IN RATION = TON 1278 280 382 14.97189 18.20039 5 2 1 6 8 2 2.827721 -----2000 .83924 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 13 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .152 ) = ( .079 )(X) + ( .113 )( 14 ) + (100- 3 - 14 -X)( .449 ) PROTEIN CORN Oats SBM 15.2 = .079 X + 1.582 15.2 = .079 X + 1.582 15.2 - 37.267 - 1.582 = .079 -23.649 = -.37 X 63.9 = X 19.1 MINERALS = -- 83 + ( 83 -X)( .449 ) + 37.267 - .449 X X - .449 X ( .113 ) = STEP 3: 100- 14 - 3 = 83 (100-AMT Oats-AMT EMPTY) 13.618 / 83 = 16.4 STEP 4: 7.900001 ---------- 28.5 : : : 16.4 : : : 44.9 ---------8.5 8.5 --------37 CORN = 63.9 Oats = 14 SBM = 19.1 AND 1.582 STEP 2: (100 lbs) ( .152 ) = 15.2 15.2 - 1.582 = 13.618 - X .6 PERCENT CA ( 14 ) 28.5 / .5 PERCENT P P IN GRAIN = (.0029)( 63.9 ) + (.0044)( 14 ) + (.006)( 19.1 ) = CORN Oats SBM .18531 + .0616 + .1146 = .36151 P STILL NEEDED = .5 - .36151 = .13849 AMT DICAL TO USE = .13849 / .185 = .7485947 CA IN GRAIN + DICAL = (.0002)( 63.9 ) + (.0010)( 14 ) + (.0025)( 19.1 ) + (.24)( .7485947 ) = .01278 + .014 + .04775 + .1796627 CA STILL NEEDED = .6 - .2541927 = .3458073 LIMESTONE TO USE TO GET .3458073 LBS CA = .3458073 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .9100193 .2541927 37 / 37 x 83 = x 83 = 19.1 63.9 14 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 15.2 PERCENT PROTEIN. MAKE THE RATION CONTAIN 14 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.1 Oats 12.4 SOYBEAN MEAL 45.9 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 65.2 14 17.8 .7703783 .9041296 0.25 0.10 0.05 0.30 0.40 0.10 .1254921 ------ 100 PERCENT LYSINE IN RATION = TON 1304 280 356.0001 15.40757 18.08259 5 2 1 6 8 2 2.509842 -----2000 .8049201 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 14 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .152 ) = ( .081 )(X) + ( .124 )( 14 ) + (100- 3 - 14 -X)( .459 ) PROTEIN CORN Oats SBM 15.2 = .081 X + 1.736 15.2 = .081 X + 1.736 15.2 - 38.097 - 1.736 = .081 -24.633 = -.378 X 65.2 = X 17.8 = 83 ( 14 ) + ( 83 -X)( .459 ) + 38.097 - .459 X X - .459 X ( .124 ) = STEP 2: (100 lbs) ( .152 ) = 15.2 15.2 - 1.736 = 13.464 STEP 3: 100- 14 - 3 = 83 13.464 / 83 = - X STEP 4: ---------- 29.7 : : : 16.2 : : : 45.9 ---------8.1 --------37.8 CORN = 65.2 Oats = 14 SBM = 17.8 8.1 MINERALS -- .6 PERCENT CA AND 1.736 (100-AMT Oats-AMT EMPTY) 16.2 29.7 8.1 / .5 PERCENT P P IN GRAIN = (.0029)( 65.2 ) + (.0044)( 14 ) + (.006)( 17.8 ) = CORN Oats SBM .18908 + .0616 + .1068 = .35748 P STILL NEEDED = .5 - .35748 = .14252 AMT DICAL TO USE = .14252 / .185 = .7703783 CA IN GRAIN + DICAL = (.0002)( 65.2 ) + (.0010)( 14 ) + (.0025)( 17.8 ) + (.24)( .7703783 ) = .01304 + .014 + 4.450001E-02 + .1848908 CA STILL NEEDED = .6 - .2564308 = .3435692 LIMESTONE TO USE TO GET .3435692 LBS CA = .3435692 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .9041296 .2564308 / 37.8 37.8 x x 83 83 = = 65.2 17.8 15 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 13.6 PERCENT PROTEIN. MAKE THE RATION CONTAIN 11 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 7.8 Oats 12.1 SOYBEAN MEAL 44.4 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 70.8 11 15.2 .8382704 .883303 0.25 0.10 0.05 0.30 0.40 0.10 .0784266 ------ 100 PERCENT LYSINE IN RATION = TON 1416 220 303.9999 16.76541 17.66606 5 2 1 6 8 2 1.568532 -----2000 .7143799 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 15 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .136 ) = ( .078 )(X) + ( .121 )( 11 ) + (100- 3 - 11 -X)( .444 ) PROTEIN CORN Oats SBM 13.6 = .078 X + 1.331 13.6 = .078 X + 1.331 13.6 - 38.184 - 1.331 = .078 -25.915 = -.366 X 70.8 = X 15.2 = 86 ( 11 ) + ( 86 -X)( .444 ) + 38.184 - .444 X X - .444 X ( .121 ) = STEP 2: (100 lbs) ( .136 ) = 13.6 13.6 - 1.331 = 12.269 STEP 3: 100- 11 - 3 = 86 12.269 / 86 = - X STEP 4: ---------- 30.1 : : : 14.3 : : : 44.4 ---------6.5 --------36.6 CORN = 70.8 Oats = 11 SBM = 15.2 7.8 MINERALS -- .6 PERCENT CA AND 1.331 (100-AMT Oats-AMT EMPTY) 14.3 30.1 6.5 / / 36.6 36.6 .5 PERCENT P P IN GRAIN = (.0029)( 70.8 ) + (.0044)( 11 ) + (.006)( 15.2 ) = CORN Oats SBM .20532 + .0484 + 9.119998E-02 P STILL NEEDED = .5 - .34492 = .15508 AMT DICAL TO USE = .15508 / .185 = .8382704 CA IN GRAIN + DICAL = (.0002)( 70.8 ) + (.0010)( 11 ) + (.0025)( 15.2 ) + (.24)( .8382704 ) = .01416 + .011 + 3.799999E-02 + .2011849 CA STILL NEEDED = .6 - .2643449 = .3356552 LIMESTONE TO USE TO GET .3356552 LBS CA = .3356552 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .883303 .2643449 = .34492 x x 86 86 = = 70.8 15.2 16 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 19.2 PERCENT PROTEIN. MAKE THE RATION CONTAIN 9 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 7.9 Oats 12.5 SOYBEAN MEAL 46.2 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 59 9 29 .6232432 .9397938 0.25 0.10 0.05 0.30 0.40 0.10 .2369629 ------ 100 PERCENT LYSINE IN RATION = TON 1180 180 580 12.46486 18.79588 5 2 1 6 8 2 4.739258 -----2000 1.0641 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 16 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .192 ) = ( .079 )(X) + ( .125 )( 9 ) + (100- 3 - 9 -X)( .462 ) PROTEIN CORN Oats SBM 19.2 = .079 X + 1.125 19.2 = .079 X + 1.125 19.2 - 40.656 - 1.125 = .079 -22.581 = -.383 X 59 = X 29 MINERALS = -- 88 + ( 88 -X)( .462 ) + 40.656 - .462 X X - .462 X ( .125 ) = STEP 3: 100- 9 - 3 18.075 / = 88 88 = STEP 4: 7.900001 ---------- 25.7 : : : 20.5 : : : 46.2 ---------12.6 --------38.3 CORN = 59 Oats = 9 SBM = 29 AND .5 PERCENT P P IN GRAIN = (.0029)( 59 ) + (.0044)( 9 ) + (.006)( 29 ) = CORN Oats SBM .1711 + .0396 + .174 = .3847 P STILL NEEDED = .5 - .3847 = .1153 AMT DICAL TO USE = .1153 / .185 = .6232432 CA IN GRAIN + DICAL = (.0002)( 59 ) + (.0010)( 9 ) + (.0025)( 29 ) + (.24)( .6232432 ) = .0118 + 9.000001E-03 + .0725 + .1495784 CA STILL NEEDED = .6 - .2428784 = .3571216 LIMESTONE TO USE TO GET .3571216 LBS CA = .3571216 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 1.125 STEP 2: (100 lbs) ( .192 ) = 19.2 19.2 - 1.125 = 18.075 - X .6 PERCENT CA ( 9 ) .9397938 .2428784 (100-AMT Oats-AMT EMPTY) 20.5 25.7 12.6 / / 38.3 38.3 x x 88 88 = = 29 59 17 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 19.3 PERCENT PROTEIN. MAKE THE RATION CONTAIN 6 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.5 Oats 12.2 SOYBEAN MEAL 46.5 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 62.5 6 28.5 .6559459 .9284816 0.25 0.10 0.05 0.30 0.40 0.10 .2155724 ------ 100 PERCENT LYSINE IN RATION = TON 1250 120 570 13.11892 18.56963 5 2 1 6 8 2 4.311447 -----2000 1.029 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 17 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .193 ) = ( .085 )(X) + ( .122 )( 6 ) + (100- 3 - 6 -X)( .465 ) PROTEIN CORN Oats SBM 19.3 = .085 X 19.3 = .085 X 19.3 - 42.315 - .732 -23.747 = -.38 62.5 = X 28.5 = 91 + + = X .732 .732 .085 ( 6 ) + ( 91 -X)( .465 ) + 42.315 - .465 X X - .465 X ( .122 ) = .732 STEP 2: (100 lbs) ( .193 ) = 19.3 19.3 - .732 = 18.568 STEP 3: 100- 6 - 3 18.568 - X = / 91 91 = (100-AMT Oats-AMT EMPTY) 20.4 STEP 4: ---------- 26.1 : : : 20.4 : : : 46.5 ---------11.9 --------38 CORN = 62.5 Oats = 6 SBM = 28.5 8.5 MINERALS -- .6 PERCENT CA AND 26.1 / 38 x 91 = 62.5 11.9 / 38 x 91 = 28.5 .5 PERCENT P P IN GRAIN = (.0029)( 62.5 ) + (.0044)( 6 ) + (.006)( 28.5 ) = CORN Oats SBM .18125 + .0264 + .171 = .37865 P STILL NEEDED = .5 - .37865 = .12135 AMT DICAL TO USE = .12135 / .185 = .6559459 CA IN GRAIN + DICAL = (.0002)( 62.5 ) + (.0010)( 6 ) + (.0025)( 28.5 ) + (.24)( .6559459 ) = .0125 + .006 + .07125 + .157427 CA STILL NEEDED = .6 - .247177 = .352823 LIMESTONE TO USE TO GET .352823 LBS CA = .352823 / .38 = .9284816 TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .247177 18 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 16.4 PERCENT PROTEIN. MAKE THE RATION CONTAIN 5 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.6 Oats 12.8 SOYBEAN MEAL 49 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 72.6 1452 5 100 19.4 388 .8165404 16.33081 .8842378 17.68476 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 9.922171E-02 ----------100 2000 PERCENT LYSINE IN RATION = .78146 1.984434 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 18 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .164 ) = ( .086 )(X) + ( .128 )( 5 ) + (100- 3 - 5 -X)( .49 ) PROTEIN CORN Oats SBM 16.4 = .086 X + .64 + ( 92 -X)( .49 ) 16.4 = .086 X + .64 + 45.08 - .49 X 16.4 - 45.08 - .64 = .086 X - .49 X -29.32 = -.404 X 72.6 = X 19.4 = 92 ( 5 ) - X .6 PERCENT CA AND STEP 4: ---------- 31.9 : : : 17.1 : : : ---------8.5 --------40.4 CORN = 72.6 Oats = 5 SBM = 19.4 31.9 8.5 / .5 PERCENT P P IN GRAIN = (.0029)( 72.6 ) + (.0044)( 5 ) + (.006)( 19.4 ) = CORN Oats SBM .21054 + .022 + .1164 = .34894 P STILL NEEDED = .5 - .34894 = .15106 AMT DICAL TO USE = .15106 / .185 = .8165404 CA IN GRAIN + DICAL = (.0002)( 72.6 ) + (.0010)( 5 ) + (.0025)( 19.4 ) + (.24)( .8165404 ) = .01452 + .005 + .0485 + .1959697 CA STILL NEEDED = .6 - .2639897 = .3360103 LIMESTONE TO USE TO GET .3360103 LBS CA = .3360103 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 16.4 STEP 3: 100- 5 - 3 = 92 (100-AMT Oats-AMT EMPTY) 15.76 / 92 = 17.1 49 -- .64 STEP 2: (100 lbs) ( .164 ) = 16.4 - .64 = 15.76 8.6 MINERALS ( .128 ) = .8842378 .2639897 / 40.4 40.4 x x 92 = 72.6 92 = 19.4 19 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 16.3 PERCENT PROTEIN. MAKE THE RATION CONTAIN 12 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 9.0 Oats 11.8 SOYBEAN MEAL 48 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 66.5 12 18.5 .7748649 .9012696 0.25 0.10 0.05 0.30 0.40 0.10 .1238654 ------ 100 PERCENT LYSINE IN RATION = TON 1330 240 370 15.4973 18.02539 5 2 1 6 8 2 2.477307 -----2000 .8088 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 19 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .163 ) = ( .09 )(X) + ( .118 )( 12 ) + (100- 3 - 12 -X)( .48 ) PROTEIN CORN Oats SBM 16.3 16.3 16.3 - 40.8 -25.916 66.5 18.5 = .09 X + 1.416 + ( 85 -X)( .48 ) = .09 X + 1.416 + 40.8 - .48 X - 1.416 = .09 X - .48 X = -.39 X = X = 85 ( 12 ) STEP 3: 100- 12 - 3 = 85 (100-AMT Oats-AMT EMPTY) 14.884 / 85 = 17.5 - X 48 -- .6 PERCENT CA AND 1.416 STEP 2: (100 lbs) ( .163 ) = 16.3 16.3 - 1.416 = 14.884 9 MINERALS ( .118 ) = STEP 4: ---------- 30.5 : : : 17.5 : : : ---------8.5 --------39 CORN = 66.5 Oats = 12 SBM = 18.5 30.5 8.5 / .5 PERCENT P P IN GRAIN = (.0029)( 66.5 ) + (.0044)( 12 ) + (.006)( 18.5 ) = CORN Oats SBM .19285 + .0528 + .111 = .35665 P STILL NEEDED = .5 - .35665 = .14335 AMT DICAL TO USE = .14335 / .185 = .7748649 CA IN GRAIN + DICAL = (.0002)( 66.5 ) + (.0010)( 12 ) + (.0025)( 18.5 ) + (.24)( .7748649 ) = .0133 + .012 + .04625 + .1859676 CA STILL NEEDED = .6 - .2575176 = .3424824 LIMESTONE TO USE TO GET .3424824 LBS CA = .3424824 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .9012696 .2575176 / 39 39 x x 85 85 = = 66.5 18.5 20 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 16.1 PERCENT PROTEIN. MAKE THE RATION CONTAIN 9 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.1 Oats 11.7 SOYBEAN MEAL 46.4 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 67.3 9 20.7 .7623244 .90219 0.25 0.10 0.05 0.30 0.40 0.10 .1354856 ------ 100 PERCENT LYSINE IN RATION = TON 1346 180 413.9999 15.24649 18.0438 5 2 1 6 8 2 2.709713 -----2000 .8449799 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 20 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .161 ) = ( .081 )(X) + ( .117 )( 9 ) + (100- 3 - 9 -X)( .464 ) PROTEIN CORN Oats SBM 16.1 = .081 X + 1.053 16.1 = .081 X + 1.053 16.1 - 40.832 - 1.053 = .081 -25.785 = -.383 X 67.3 = X 20.7 = 88 ( 9 ) + ( 88 -X)( .464 ) + 40.832 - .464 X X - .464 X ( .117 ) = STEP 2: (100 lbs) ( .161 ) = 16.1 16.1 - 1.053 = 15.047 STEP 3: 100- 9 - 3 = 88 (100-AMT Oats-AMT EMPTY) 15.047 / 88 = 17.1 - X STEP 4: ---------- 29.3 : : : 17.1 : : : 46.4 ---------9 --------38.3 CORN = 67.3 Oats = 9 SBM = 20.7 8.1 MINERALS -- .6 PERCENT CA AND 1.053 29.3 9 / 38.3 .5 PERCENT P P IN GRAIN = (.0029)( 67.3 ) + (.0044)( 9 ) + (.006)( 20.7 ) = CORN Oats SBM .19517 + .0396 + .1242 = .35897 P STILL NEEDED = .5 - .35897 = .14103 AMT DICAL TO USE = .14103 / .185 = .7623244 CA IN GRAIN + DICAL = (.0002)( 67.3 ) + (.0010)( 9 ) + (.0025)( 20.7 ) + (.24)( .7623244 ) = .2571678 .01346 + 9.000001E-03 + 5.174999E-02 + .1829578 CA STILL NEEDED = .6 - .2571678 = .3428322 LIMESTONE TO USE TO GET .3428322 LBS CA = .3428322 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .90219 / 38.3 x 88 x = 88 = 20.7 67.3 21 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 12.4 PERCENT PROTEIN. MAKE THE RATION CONTAIN 10 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 7.9 Oats 12.9 SOYBEAN MEAL 44.3 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 75.4 1508 10 200 11.6 232 .9067028 18.13406 .8639773 17.27955 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 2.931988E-02 ----------100 2000 PERCENT LYSINE IN RATION = .61204 .5863976 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 21 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .124 ) = ( .079 )(X) + ( .129 )( 10 ) + (100- 3 - 10 -X)( .443 ) PROTEIN CORN Oats SBM 12.4 = .079 X + 1.29 12.4 = .079 X + 1.29 12.4 - 38.541 - 1.29 = .079 -27.431 = -.364 X 75.4 = X 11.6 = 87 ( 10 ) + ( 87 -X)( .443 ) + 38.541 - .443 X X - .443 X ( .129 ) = 1.29 STEP 2: (100 lbs) ( .124 ) = 12.4 12.4 - 1.29 = 11.11 - X STEP 3: 100- 10 - 3 11.11 / = 87 87 = STEP 4: 7.900001 ---------- 31.5 (100-AMT Oats-AMT EMPTY) 12.8 31.5 / 36.4 x 87 = = 11.6 75.4 : : : 12.8 : : : 44.3 ---------4.9 --------36.4 CORN = 75.4 Oats = 10 SBM = 11.6 MINERALS -- .6 PERCENT CA AND 4.9 / 36.4 .5 PERCENT P P IN GRAIN = (.0029)( 75.4 ) + (.0044)( 10 ) + (.006)( 11.6 ) = CORN Oats SBM .21866 + .044 + 6.959999E-02 = P STILL NEEDED = .5 - .33226 = .16774 AMT DICAL TO USE = .16774 / .185 = .9067028 CA IN GRAIN + DICAL = (.0002)( 75.4 ) + (.0010)( 10 ) + (.0025)( 11.6 ) + (.24)( .9067028 ) = .01508 + .01 + .029 + .2176087 CA STILL NEEDED = .6 - .2716886 = .3283114 LIMESTONE TO USE TO GET .3283114 LBS CA = .3283114 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .8639773 .2716886 .33226 x 87 22 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 14.9 PERCENT PROTEIN. MAKE THE RATION CONTAIN 8 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.3 Oats 11.3 SOYBEAN MEAL 46.8 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 71.8 1436 8 160 17.2 343.9999 .8290811 16.58162 .8833173 17.66635 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 8.760154E-02 ----------100 2000 PERCENT LYSINE IN RATION = .7452799 1.752031 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 22 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .149 ) = ( .083 )(X) + ( .113 )( 8 ) + (100- 3 - 8 -X)( .468 ) PROTEIN CORN Oats SBM 14.9 = .083 X + .904 14.9 = .083 X + .904 14.9 - 41.652 - .904 = .083 -27.656 = -.385 X 71.8 = X 17.2 = 89 ( 8 ) + ( 89 -X)( .468 ) + 41.652 - .468 X X - .468 X ( .113 ) = STEP 2: (100 lbs) ( .149 ) = 14.9 14.9 - .904 = 13.996 STEP 3: 100- 8 - 3 = 89 (100-AMT Oats-AMT EMPTY) 13.996 / 89 = 15.7 - X STEP 4: ---------- 31.1 : : : 15.7 : : : 46.8 ---------7.4 --------38.5 CORN = 71.8 Oats = 8 SBM = 17.2 8.3 MINERALS -- .6 PERCENT CA AND .904 31.1 7.4 / .5 PERCENT P P IN GRAIN = (.0029)( 71.8 ) + (.0044)( 8 ) + (.006)( 17.2 ) = CORN Oats SBM .20822 + .0352 + .1032 = .34662 P STILL NEEDED = .5 - .34662 = .15338 AMT DICAL TO USE = .15338 / .185 = .8290811 CA IN GRAIN + DICAL = (.0002)( 71.8 ) + (.0010)( 8 ) + (.0025)( 17.2 ) + (.24)( .8290811 ) = .01436 + .008 + 4.299999E-02 + .1989795 CA STILL NEEDED = .6 - .2643394 = .3356606 LIMESTONE TO USE TO GET .3356606 LBS CA = .3356606 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .8833173 .2643394 / 38.5 38.5 x x 89 89 = = 71.8 17.2 23 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 17 PERCENT PROTEIN. MAKE THE RATION CONTAIN 14 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.3 Oats 11.3 SOYBEAN MEAL 49.6 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 62.3 14 20.7 .7217837 .9172683 0.25 0.10 0.05 0.30 0.40 0.10 .160948 ------ 100 PERCENT LYSINE IN RATION = TON 1246 280 414 14.43567 18.34537 5 2 1 6 8 2 3.218961 -----2000 .88148 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 23 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .17 ) = ( .083 )(X) + ( .113 )( 14 ) + (100- 3 - 14 -X)( .496 ) PROTEIN CORN Oats SBM 17 = .083 X + 1.582 17 = .083 X + 1.582 17 - 41.168 - 1.582 = .083 -25.75 = -.413 X 62.3 = X 20.7 = 83 ( 14 ) + ( 83 -X)( .496 ) + 41.168 - .496 X X - .496 X ( .113 ) = STEP 2: (100 lbs) ( .17 ) = 17 17 - 1.582 = 15.418 STEP 3: 100- 14 - 3 = 83 (100-AMT Oats-AMT EMPTY) 15.418 / 83 = 18.6 - X STEP 4: ---------- 31 : : : 18.6 : : : 49.6 ---------10.3 --------41.3 CORN = 62.3 Oats = 14 SBM = 20.7 8.3 MINERALS -- .6 PERCENT CA AND 1.582 31 / 41.3 10.3 / .5 PERCENT P P IN GRAIN = (.0029)( 62.3 ) + (.0044)( 14 ) + (.006)( 20.7 ) = CORN Oats SBM .18067 + .0616 + .1242 = .36647 P STILL NEEDED = .5 - .36647 = .13353 AMT DICAL TO USE = .13353 / .185 = .7217837 CA IN GRAIN + DICAL = (.0002)( 62.3 ) + (.0010)( 14 ) + (.0025)( 20.7 ) + (.24)( .7217837 ) = .01246 + .014 + .05175 + .1732281 CA STILL NEEDED = .6 - .2514381 = .3485619 LIMESTONE TO USE TO GET .3485619 LBS CA = .3485619 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .9172683 .2514381 x 83 = 62.3 41.3 x 83 = 20.7 24 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 16 PERCENT PROTEIN. MAKE THE RATION CONTAIN 11 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.1 Oats 11.2 SOYBEAN MEAL 48.7 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 66.8 11 19.2 .7712433 .9014254 0.25 0.10 0.05 0.30 0.40 0.10 .1273313 ------ 100 PERCENT LYSINE IN RATION = TON 1336 220 383.9999 15.42487 18.02851 5 2 1 6 8 2 2.546625 -----2000 .81998 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 24 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .16 ) = ( .081 )(X) + ( .112 )( 11 ) + (100- 3 - 11 -X)( .487 ) PROTEIN CORN Oats SBM 16 = .081 X + 1.232 16 = .081 X + 1.232 16 - 41.882 - 1.232 = .081 -27.114 = -.406 X 66.8 = X 19.2 = 86 ( 11 ) + ( 86 -X)( .487 ) + 41.882 - .487 X X - .487 X ( .112 ) = STEP 2: (100 lbs) ( .16 ) = 16 16 - 1.232 = 14.768 STEP 3: 100- 11 - 3 = 86 14.768 / 86 = - X STEP 4: ---------- 31.5 : : : 17.2 : : : 48.7 ---------9.1 --------40.6 CORN = 66.8 Oats = 11 SBM = 19.2 8.1 MINERALS -- .6 PERCENT CA AND 1.232 (100-AMT Oats-AMT EMPTY) 17.2 31.5 9.1 / .5 PERCENT P P IN GRAIN = (.0029)( 66.8 ) + (.0044)( 11 ) + (.006)( 19.2 ) = CORN Oats SBM .19372 + .0484 + .1152 = .35732 P STILL NEEDED = .5 - .35732 = .14268 AMT DICAL TO USE = .14268 / .185 = .7712433 CA IN GRAIN + DICAL = (.0002)( 66.8 ) + (.0010)( 11 ) + (.0025)( 19.2 ) + (.24)( .7712433 ) = .01336 + .011 + 4.799999E-02 + .1850984 CA STILL NEEDED = .6 - .2574584 = .3425416 LIMESTONE TO USE TO GET .3425416 LBS CA = .3425416 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .9014254 .2574584 / 40.6 40.6 x x 86 86 = = 66.8 19.2 25 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 18 PERCENT PROTEIN. MAKE THE RATION CONTAIN 8 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.5 Oats 12.6 SOYBEAN MEAL 44.1 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 62.5 8 26.5 .6732433 .9254517 0.25 0.10 0.05 0.30 0.40 0.10 .2013049 ------ 100 PERCENT LYSINE IN RATION = TON 1250 160 530 13.46487 18.50903 5 2 1 6 8 2 4.026098 -----2000 .9908 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 25 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .18 ) = ( .085 )(X) + ( .126 )( 8 ) + (100- 3 - 8 -X)( .441 ) PROTEIN CORN Oats SBM 18 = .085 X + 1.008 18 = .085 X + 1.008 18 - 39.249 - 1.008 = .085 -22.257 = -.356 X 62.5 = X 26.5 = 89 ( 8 ) + ( 89 -X)( .441 ) + 39.249 - .441 X X - .441 X ( .126 ) = STEP 2: (100 lbs) ( .18 ) = 18 18 - 1.008 = 16.992 STEP 3: 100- 8 - 3 = 89 (100-AMT Oats-AMT EMPTY) 16.992 / 89 = 19.1 - X STEP 4: ---------- 25 : : : 19.1 : : : 44.1 ---------10.6 --------35.6 CORN = 62.5 Oats = 8 SBM = 26.5 8.5 MINERALS -- .6 PERCENT CA AND 1.008 25 / 35.6 10.6 / .5 PERCENT P P IN GRAIN = (.0029)( 62.5 ) + (.0044)( 8 ) + (.006)( 26.5 ) = CORN Oats SBM .18125 + .0352 + .159 = .37545 P STILL NEEDED = .5 - .37545 = .12455 AMT DICAL TO USE = .12455 / .185 = .6732433 CA IN GRAIN + DICAL = (.0002)( 62.5 ) + (.0010)( 8 ) + (.0025)( 26.5 ) + (.24)( .6732433 ) = .0125 + .008 + .06625 + .1615784 CA STILL NEEDED = .6 - .2483284 = .3516716 LIMESTONE TO USE TO GET .3516716 LBS CA = .3516716 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .9254517 .2483284 x 89 35.6 x = 89 62.5 = 26.5 26 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 12.5 PERCENT PROTEIN. MAKE THE RATION CONTAIN 5 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 7.5 Oats 11.6 SOYBEAN MEAL 44.7 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 78.5 1570 5 100 13.5 270 .9154054 18.30811 .8575072 17.15014 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 2.708745E-02 ----------100 2000 PERCENT LYSINE IN RATION = .6257 .541749 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 26 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .125 ) = ( .075 )(X) + ( .116 )( 5 ) + (100- 3 - 5 -X)( .447 ) PROTEIN CORN Oats SBM 12.5 = .075 X + .58 12.5 = .075 X + .58 12.5 - 41.124 - .58 = .075 -29.204 = -.372 X 78.5 = X 13.5 = 92 ( 5 ) + ( 92 -X)( .447 ) + 41.124 - .447 X X - .447 X ( .116 ) = STEP 2: (100 lbs) ( .125 ) = 12.5 - .58 = 11.92 STEP 3: 100- 5 - 3 = 92 11.92 / 92 = - X STEP 4: ---------- 31.7 : : : 13 : : : 44.7 ---------5.5 --------37.2 CORN = 78.5 Oats = 5 SBM = 13.5 7.5 MINERALS -- .6 PERCENT CA AND .58 (100-AMT Oats-AMT EMPTY) 13 31.7 5.5 .5 PERCENT P P IN GRAIN = (.0029)( 78.5 ) + (.0044)( 5 ) + (.006)( 13.5 ) = CORN Oats SBM .22765 + .022 + .081 = .33065 P STILL NEEDED = .5 - .33065 = .16935 AMT DICAL TO USE = .16935 / .185 = .9154054 CA IN GRAIN + DICAL = (.0002)( 78.5 ) + (.0010)( 5 ) + (.0025)( 13.5 ) + (.24)( .9154054 ) = .0157 + .005 + .03375 + .2196973 CA STILL NEEDED = .6 - .2741473 = .3258527 LIMESTONE TO USE TO GET .3258527 LBS CA = .3258527 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .8575072 12.5 .2741473 / / 37.2 37.2 x x 92 92 = = 78.5 13.5 27 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 16.2 PERCENT PROTEIN. MAKE THE RATION CONTAIN 6 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.6 Oats 12 SOYBEAN MEAL 48.9 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 72 1440 6 120 19 380 .8151351 16.3027 .8854411 17.70882 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 9.942377E-02 ----------100 2000 PERCENT LYSINE IN RATION = .7782 1.988475 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 27 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .162 ) = ( .086 )(X) + ( .12 )( 6 ) + (100- 3 - 6 -X)( .489 ) PROTEIN CORN Oats SBM 16.2 = .086 X + .72 16.2 = .086 X + .72 16.2 - 44.499 - .72 = .086 -29.019 = -.403 X 72 = X 19 = 91 ( 6 ) + ( 91 -X)( .489 ) + 44.499 - .489 X X - .489 X ( .12 ) = STEP 2: (100 lbs) ( .162 ) = 16.2 - .72 = 15.48 STEP 3: 100- 6 - 3 = 15.48 / 91 - X -- .6 PERCENT CA STEP 4: ---------- 31.9 : : : 17 : : : 48.9 ---------8.4 --------40.3 CORN = 72 Oats = 6 SBM = 19 AND .5 PERCENT P P IN GRAIN = (.0029)( 72 ) + (.0044)( 6 ) + (.006)( 19 ) = CORN Oats SBM .2088 + .0264 + .114 = .3492 P STILL NEEDED = .5 - .3492 = .1508 AMT DICAL TO USE = .1508 / .185 = .8151351 CA IN GRAIN + DICAL = (.0002)( 72 ) + (.0010)( 6 ) + (.0025)( 19 ) + (.24)( .8151351 ) = .0144 + .006 + .0475 + .1956324 CA STILL NEEDED = .6 - .2635324 = .3364676 LIMESTONE TO USE TO GET .3364676 LBS CA = .3364676 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .8854411 16.2 91 (100-AMT Oats-AMT EMPTY) = 17 8.6 MINERALS .72 .2635324 31.9 8.4 / / 40.3 40.3 x x 91 91 = = 72 19 28 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 13.5 PERCENT PROTEIN. MAKE THE RATION CONTAIN 7 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.6 Oats 11.9 SOYBEAN MEAL 46.1 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. CALCIUM, ---------.02 .10 .25 24.0 38 PLACE YOUR ANSWERS HERE: Percent TON CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 76.9 1538 7 140 13.1 262 .9058918 18.11784 .8617263 17.23453 0.25 5 0.10 2 0.05 1 0.30 6 0.40 8 0.10 2 3.238177E-02 ----------100 2000 PERCENT LYSINE IN RATION = .62974 .6476355 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 28 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .135 ) = ( .086 )(X) + ( .119 )( 7 ) + (100- 3 - 7 -X)( .461 ) PROTEIN CORN Oats SBM 13.5 = .086 X + .8329999 + ( 90 -X)( .461 ) 13.5 = .086 X + .8329999 + 41.49 - .461 X 13.5 - 41.49 - .8329999 = .086 X - .461 X -28.823 = -.375 X 76.9 = X 13.1 = 90 ( 7 ) ( .119 ) = STEP 2: (100 lbs) ( .135 ) = 13.5 13.5 - .8329999 = 12.667 STEP 3: 100- 7 - 3 = 90 (100-AMT Oats-AMT EMPTY) 12.667 / 90 = 14.1 - X STEP 4: ---------- 32 : : : 14.1 : : : 46.1 ---------5.5 --------37.5 CORN = 76.9 Oats = 7 SBM = 13.1 8.6 MINERALS -- .6 PERCENT CA AND .8329999 32 / 5.5 37.5 / x 37.5 .5 PERCENT P P IN GRAIN = (.0029)( 76.9 ) + (.0044)( 7 ) + (.006)( 13.1 ) = CORN Oats SBM .22301 + .0308 + 7.859999E-02 P STILL NEEDED = .5 - .33241 = .16759 AMT DICAL TO USE = .16759 / .185 = .9058918 CA IN GRAIN + DICAL = (.0002)( 76.9 ) + (.0010)( 7 ) + (.0025)( 13.1 ) + (.24)( .9058918 ) = .01538 + .007 + .03275 + .217414 CA STILL NEEDED = .6 - .272544 = .327456 LIMESTONE TO USE TO GET .327456 LBS CA = .327456 / .38 = .8617263 TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .272544 = .33241 90 x = 90 76.9 = 13.1 29 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 17.6 PERCENT PROTEIN. MAKE THE RATION CONTAIN 16 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 9.0 Oats 12 SOYBEAN MEAL 44.5 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 57.4 16 23.6 .656973 .9364383 0.25 0.10 0.05 0.30 0.40 0.10 .2065887 ------ 100 PERCENT LYSINE IN RATION = TON 1148 320 472 13.13946 18.72877 5 2 1 6 8 2 4.131775 -----2000 .97264 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 29 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .176 ) = ( .09 )(X) + ( .12 )( 16 ) + (100- 3 - 16 -X)( .445 ) PROTEIN CORN Oats SBM 17.6 = .09 X + 1.92 17.6 = .09 X + 1.92 17.6 - 36.045 - 1.92 = .09 -20.365 = -.355 X 57.4 = X 23.6 = 81 ( 16 ) + ( 81 -X)( .445 ) + 36.045 - .445 X X - .445 X ( .12 ) = STEP 2: (100 lbs) ( .176 ) = 17.6 17.6 - 1.92 = 15.68 STEP 3: 100- 16 - 3 15.68 / - X = 81 81 = STEP 4: ---------- 25.1 : : : 19.4 : : : 44.5 ---------10.4 --------35.5 CORN = 57.4 Oats = 16 SBM = 23.6 9 MINERALS -- .6 PERCENT CA AND 1.92 (100-AMT Oats-AMT EMPTY) 19.4 25.1 / 10.4 .5 PERCENT P P IN GRAIN = (.0029)( 57.4 ) + (.0044)( 16 ) + (.006)( 23.6 ) = CORN Oats SBM .16646 + .0704 + .1416 = .37846 P STILL NEEDED = .5 - .37846 = .12154 AMT DICAL TO USE = .12154 / .185 = .656973 CA IN GRAIN + DICAL = (.0002)( 57.4 ) + (.0010)( 16 ) + (.0025)( 23.6 ) + (.24)( .656973 ) = .01148 + .016 + .059 + .1576735 CA STILL NEEDED = .6 - .2441535 = .3558465 LIMESTONE TO USE TO GET .3558465 LBS CA = .3558465 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .9364383 .2441535 35.5 / x 35.5 81 x = 81 57.4 = 23.6 30 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 15.2 PERCENT PROTEIN. MAKE THE RATION CONTAIN 9 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.1 Oats 11.9 SOYBEAN MEAL 45.2 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 69.1 9 18.9 .7924864 .8940349 0.25 0.10 0.05 0.30 0.40 0.10 .1134787 ------ 100 PERCENT LYSINE IN RATION = TON 1382 180 378 15.84973 17.8807 5 2 1 6 8 2 2.269573 -----2000 .7974601 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 30 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .152 ) = ( .081 )(X) + ( .119 )( 9 ) + (100- 3 - 9 -X)( .452 ) PROTEIN CORN Oats SBM 15.2 = .081 X + 1.071 15.2 = .081 X + 1.071 15.2 - 39.776 - 1.071 = .081 -25.647 = -.371 X 69.1 = X 18.9 = 88 ( 9 ) + ( 88 -X)( .452 ) + 39.776 - .452 X X - .452 X ( .119 ) = STEP 2: (100 lbs) ( .152 ) = 15.2 15.2 - 1.071 = 14.129 STEP 3: 100- 9 - 3 = 88 (100-AMT Oats-AMT EMPTY) 14.129 / 88 = 16.1 - X STEP 4: ---------- 29.1 : : : 16.1 : : : 45.2 ---------8 --------37.1 CORN = 69.1 Oats = 9 SBM = 18.9 8.1 MINERALS -- .6 PERCENT CA AND 1.071 29.1 8 / 37.1 .5 PERCENT P P IN GRAIN = (.0029)( 69.1 ) + (.0044)( 9 ) + (.006)( 18.9 ) = CORN Oats SBM .20039 + .0396 + .1134 = .35339 P STILL NEEDED = .5 - .35339 = .14661 AMT DICAL TO USE = .14661 / .185 = .7924864 CA IN GRAIN + DICAL = (.0002)( 69.1 ) + (.0010)( 9 ) + (.0025)( 18.9 ) + (.24)( .7924864 ) = .01382 + 9.000001E-03 + .04725 + .1901967 CA STILL NEEDED = .6 - .2602668 = .3397333 LIMESTONE TO USE TO GET .3397333 LBS CA = .3397333 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .8940349 .2602668 / 37.1 x 88 x = 88 = 18.9 69.1 31 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 12.7 PERCENT PROTEIN. MAKE THE RATION CONTAIN 6 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 8.5 Oats 11.3 SOYBEAN MEAL 49.5 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 80.5 6 10.5 .9575676 .846931 0.25 0.10 0.05 0.30 0.40 0.10 -4.49872E-03 ------ 100 PERCENT LYSINE IN RATION = TON 1610 120 210 19.15135 16.93862 5 2 1 6 8 2 -.0899744 -----2000 .5538 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 31 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .127 ) = ( .085 )(X) + ( .113 )( 6 ) + (100- 3 - 6 -X)( .495 ) PROTEIN CORN Oats SBM 12.7 = .085 X 12.7 = .085 X 12.7 - 45.045 - .678 -33.023 = -.41 80.5 = X 10.5 = 91 + + = X .678 .678 .085 ( 6 ) + ( 91 -X)( .495 ) + 45.045 - .495 X X - .495 X ( .113 ) = STEP 2: (100 lbs) ( .127 ) = 12.7 12.7 - .678 = 12.022 STEP 3: 100- 6 - 3 12.022 - X = / 91 91 STEP 4: ---------- 36.3 : : : 13.2 : : : 49.5 ---------4.7 --------41 CORN = 80.5 Oats = 6 SBM = 10.5 8.5 MINERALS -- .6 PERCENT CA AND .678 (100-AMT Oats-AMT EMPTY) = 13.2 36.3 4.7 .5 PERCENT P P IN GRAIN = (.0029)( 80.5 ) + (.0044)( 6 ) + (.006)( 10.5 ) = CORN Oats SBM .23345 + .0264 + .063 = .32285 P STILL NEEDED = .5 - .32285 = .17715 AMT DICAL TO USE = .17715 / .185 = .9575676 CA IN GRAIN + DICAL = (.0002)( 80.5 ) + (.0010)( 6 ) + (.0025)( 10.5 ) + (.24)( .9575676 ) = .0161 + .006 + .02625 + .2298162 CA STILL NEEDED = .6 - .2781662 = .3218338 LIMESTONE TO USE TO GET .3218338 LBS CA = .3218338 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .846931 .2781662 / / 41 41 x x 91 91 = = 80.5 10.5 32 ANSC 221 HOMEWORK 5 NAME -------------------------RATION BALANCING--SWINE TYPE 2 BASAL FEEDS AND MINERALS ---ANSWERS--FIXED AMOUNT OF Oats BALANCE 100 POUNDS OF A RATION FOR SWINE TO CONTAIN 15.5 PERCENT PROTEIN. MAKE THE RATION CONTAIN 9 PERCENT Oats AND USE CORN AND SOYBEAN MEAL TO SUPPLY THE NEEDED AMOUNT OF ADDITIONAL PROTEIN. LEAVE 3 PERCENT OF THE RATION FREE FOR VITAMINS, MINERALS, ETC. BALANCE THE RATION TO CONTAIN .6 PERCENT CALCIUM AND .5 PERCENT PHOSPHORUS. USE THE FOLLOWING INGREDIENT COMPOSITION (values are in percent) Make it contain: 2 lbs/Ton of Trace Mineral premix 6 lbs/Ton of Vitamin premix 0.25% salt 250 PPM Copper from Copper Sulfate 1 lb per Ton of Selenium premix 80 Grams per Ton Tylosin After balancing the ration, CALCULATE the percent LYSINE. PROTEIN, ---------CORN 7.9 Oats 12.7 SOYBEAN MEAL 48.5 DICALCIUM PHOSPHATE 0 LIMESTONE 0 Tylan-10 contains 10 grams Tylosin/lb. CuSO4-5H20 contains 25 percent copper. PLACE YOUR ANSWERS HERE: Percent CORN Oats SOYBEAN MEAL DICAL LIMESTONE SALT TM Premix Se PREMIX VIT Premix TYLAN-10 CU-SULFATE OTHER TOTAL 69.8 9 18.2 .8042163 .8908635 0.25 0.10 0.05 0.30 0.40 0.10 .1049201 ------ 100 PERCENT LYSINE IN RATION = TON 1396 180 363.9999 16.08433 17.81727 5 2 1 6 8 2 2.098403 -----2000 .77898 CALCIUM, ---------.02 .10 .25 24.0 38 PHOSPHORUS, ---------.29 .44 .60 18.5 0 ANSWERS: 32 ANSC 221, Homework 5 ALGEBRAIC SOLUTION: PEARSON SQUARE SOLUTION: (100)( .155 ) = ( .079 )(X) + ( .127 )( 9 ) + (100- 3 - 9 -X)( .485 ) PROTEIN CORN Oats SBM ( 9 ) 15.5 = .079 X + 1.143 + ( 88 -X)( .485 ) 15.5 = .079 X + 1.143 + 42.68 - .485 X 15.5 - 42.68 - 1.143 = .079 X - .485 X -28.323 = -.406 X 69.8 = X 18.2 = 88 ( .127 ) = 1.143 STEP 2: (100 lbs) ( .155 ) = 15.5 15.5 - 1.143 = 14.357 STEP 3: 100- 9 - 3 = 88 (100-AMT Oats-AMT EMPTY) 14.357 / 88 = 16.3 - X STEP 4: 7.900001 ---------- 32.2 32.2 / 40.6 x 88 = = 18.2 69.8 : : : 16.3 : : : 48.5 ---------8.4 --------40.6 CORN = 69.8 Oats = 9 SBM = 18.2 MINERALS -- .6 PERCENT CA AND 8.4 / .5 PERCENT P P IN GRAIN = (.0029)( 69.8 ) + (.0044)( 9 ) + (.006)( 18.2 ) = CORN Oats SBM .20242 + .0396 + .1092 = .35122 P STILL NEEDED = .5 - .35122 = .14878 AMT DICAL TO USE = .14878 / .185 = .8042163 CA IN GRAIN + DICAL = (.0002)( 69.8 ) + (.0010)( 9 ) + (.0025)( 18.2 ) + (.24)( .8042163 ) = .2614719 .01396 + 9.000001E-03 + 4.549999E-02 + .1930119 CA STILL NEEDED = .6 - .2614719 = .3385281 LIMESTONE TO USE TO GET .3385281 LBS CA = .3385281 / .38 = TM Premix: 2 LBS/TON = 1 Lb/1000 = .5 lb/100 = .5% Se Premix: 1 LB/TON = .5 lb/1000 = .05 lb/100 = .05% Vit Premix: 6 LB/TON = 3 lb/1000 = .3 lb/100 = .3% TYLAN-10: 80 g/ton = 40 g/1000 lb = 4 g/100 lb coming from a compound with 10 g/lb of the tylan we want. Therefore 4 g = X (10 g/lb) or 4/10 = .4 lbs TYLAN-10 CuSO4: 250 ppm = .025% Cu ; compound is 25% Cu so .025 lb = X (.25) , or add .1 lb CuSO4 per 100 lbs feed. OTHER should be calculated by subtracting all feeds from 100.0 .8908635 40.6 x 88