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THE NEXT QUESTION SHOULD BE ANSWERED USING THE FOLLOWING INFORMATION. Farmer Sally is raising ostriches to sell at market. She wants to feed the
THE NEXT QUESTION SHOULD BE ANSWERED USING THE FOLLOWING INFORMATION. Farmer Sally is raising ostriches to sell at market. She wants to feed the ostriches a diet that meets all nutritional requirements at minimum cost. The diet will consist of a mixture of the 3 types of feed available. The following table shows the nutrition in 1 kilogram of each type of feed, along with their costs, and the minimum daily requirement of each nutritional ingredient. Finally, she does not want more than 40% of the feed to be of type Feed X. We can develop an algebraic representation of this problem and solve it as a linear program. Let X represent the number of kilograms of Feed X, Y the number of kilograms of Feed Y, and Z the number of kilograms of Feed Z that Sally will decide to use for her mixture. Kilogram of Feed X Kilogram of Feed Y Kilogram of Feed Z Minimum daily requirement Carbohydrates (g) 50 20 30 60 Protein (g) 15 70 40 45 Vitamin A (mg) 10 25 5 35 Fat (g) 14 12 7 15 (min) 35 (max) Cost (in cents) 21 42 36 15. Formulate this problem as a Linear Programming model:
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