OR The Feed N Ship Ranch fattens cattle for local far

OR  The Feed N Ship Ranch fattens cattle for local far OR  The Feed N Ship Ranch fattens cattle for local far - Start

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OR The Feed N Ship Ranch fattens cattle for local far - Description

R 972004 The Feed N Ship Ranch fattens cattle for local farmers and ships them to meat markets The owners of the ranch seek to determine the amounts of cattle feed to buy so that minimum nutritional standards are ID: 87734 Download Pdf

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OR The Feed N Ship Ranch fattens cattle for local far




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O.R. 9/7/2004 The Feed N Ship Ranch fattens cattle for local farmers and ships them to meat markets. The owners of the ranch seek to determine the amounts of cattle feed to buy so that minimum nutritional standards are satisfied, and at the same time, total feed costs are minimized. The feed mix used can be made up of the th ree feed stocks that contain the following ingredients (in ounces) per pound of feed. (16 ounces = 1 pound.) Ingredient Stock X Stock Y Stock Z A 3 2 4 B 2 3 1 C 1 0 2 D 6 8 4 The cost per pound of stocks X, Y, and Z are $ , $ , and $ 2.50 , respectively. The minimum requirements per cow per month is pounds (= 64 ounces) of ingredient A, pounds (= 80 ounces) of ingredient B, pound (= 16 ounces) of ingredient C, and pounds (= 128 ounces) of ingredient D. The ranch faces one additional re striction: it can only obtain 500 pounds of stock Z per month from the feed supplie r regardless of its need. Because there are usually 100 cows at the Feed N Ship Ranch at any give n time, this means that no more than pounds of stock Z can be counted on for use in the feed of each cow per month. min = 2*X + 4*Y + 2.5*Z; 3*X + 2*Y + 4*Z >= 64; 2*X + 3*Y + Z >= 80; X + Z >= 16; 6*X + 8*Y + 4*Z >= 128; Z <= 5; Global optimal solution found at step: 5 Objective value: 80.00000 Variable Value Reduced Cost X 40.00000 0.0000000 Y 0.0000000 1.000000 Z 0.0000000 1.500000 Row Slack or Surplus Dual Price 1 80.00000 1.000000 2 56.00000 0.0000000 3 0.0000000 -1.000000 4 24.00000 0.0000000 5 112.0000 0.0000000 6 5.000000 0.0000000

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