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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

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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 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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