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A special food for athletes is to be developed from two foods Food X and...

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A special food for athletes is to be developed from two foods Food X and Food Y The new food is to contain at least 16 milligrams of Vitamin A at least 20 milligrams of Vitamin B and at least 12 milli grams of Vitamin C Each pound of Food X costs 1 50 and contains 1 milligram of Vitamin A 5 milligrams of Vitamin B and I milligram of Vitamin C On the other hand each pound of Food Y costs 2 50 and contains 2 milligrams of A 1 milligram of B and I milligram of C How many pounds of each food should be used in the mixture in order to meet the preceding requirements at a minimum cost What is this minimum cost

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