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Formulate but do not solve the following exercise as a linear programming problem. A nutritionist at the Medical Center has been asked to prepare a

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Formulate but do not solve the following exercise as a linear programming problem. A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals should contain a minimum of 420 mg of calcium, 5 mg of iron, and 35 mg of vitamin C. She has further decided that the meals are to be prepared from x ounces of Food A and y ounces of Food B. Each ounce of Food A contains 30 mg of calcium, 2 mg of iron, 4 mg of vitamin C, and 4 my of cholesterol. Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. Find how many ounces of each type of food should be used in a meal so that the cholesterol content, C (in mg), is minimized and the minimum requirements of calcium, iron, and vitamin C are met. Minimize subject to the constraints calcium iron vitamin C x 20 y 20 Submit

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