A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients....

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Advance Math

A nutritionist at the Medical Center has been asked to prepare aspecial diet for
certain patients. She has decided that the meals should beprepared from Foods A and B and that they
should contain a minimum of 400 mg of calcium, 10 mg of iron,and 40 mg of vitamin C. Each ounce of Food
A contains 30 mg of calcium, 1 mg of iron, 2 mg of vitamin C,and 3 mg 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.
(1) How many ounces of each type of food should be used in ameal so that the cholesterol content is
minimized and the minimum requirements of calcium, iron, andvitamin C are met? What is the
minimum cholesterol content?
(2) By how much can the cholesterol content of Food A varybefore the optimal solution changes?
(3) By how much can the cholesterol content of Food B varybefore the optimal solution changes?

Answer & Explanation Solved by verified expert

3.6 Ratings (297 Votes)

1 Let the type of food A is x and type of food B is yAmount of calcium in food A is 30mg and in food B is 25mgMinimum amount of calcium is 400 mg impliesAmount of iron in food A is 1mg and in food B is 05mgMinimum amount of iron is 10 mg impliesAmount of vitamin C in food A is 2mg and See Answer

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