What the composition of can of dog food

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Reference no: EM132301645

Pet Supplies Company produces 16-ounce cans of dog food by combining meat by-products, which cost $0.60 per pound, and chicken by-products, which cost $0.35 per pound. Meat by-products are 55% protein and 30% fat by weight, while chicken by-products are 40% protein and 10% fat by weight. To meet customer expectations, the final product should contain at least 50% protein and between 15% and 25% fat by weight. Pet Supplies advertises that each can of dog food has no more than 30% by weight of chicken by-products.

a) Formulate a linear programming solution to be used to determine what the composition of a can of dog food should be to meet the various requirements at the minimum cost. Hint: you can express the amount of each ingredient in a 16-ounce can of dog food as a fraction of a 16-ounce can rather than in ounces. Provide the objective function and the constraints for your linear programming formulation.

Reference no: EM132301645

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