A cereal manufacturer wishes to produce 1000 pounds of a cereal that contains exactly 10% fiber, 2% fat, and 5% sugar (by weight). The cereal is to be produced by combining four items of raw food material in appropriate proportions. These four items are named A, B, C, D and they have certain combinations of fiber, fat, and sugar content, and are available at various prices per pound: Item Fiber Fat Sugar Price/lb A 4 01 5 13 2 B 6 26 4 4 C 12 9 5 1 D 3 8 0 2 The manufacturer wishes to find the amounts of each item to be used to produce the cereal in the least expensive way. Formulate the problem as a linear programming problem.

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