Nutrition A dietitian designs a special dietarysupplement using two different foods

Chapter 7, Problem 84

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Nutrition A dietitian designs a special dietarysupplement using two different foods. Each ounce offood X contains 12 units of calcium, 10 units of iron,and 20 units of vitamin B. Each ounce of food Y contains15 units of calcium, 20 units of iron, and 12 units ofvitamin B. The minimum daily requirements of thediet are 300 units of calcium, 280 units of iron, and300 units of vitamin B.(a) Write a system of inequalities describing the differentamounts of food X and food Y that can be used.(b) Sketch a graph of the region in part (a).(c) Find two solutions to the system and interpret theirmeanings in the context of the problem.

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