Question: In Problems, use the simplex method, Excel, or some other technology. A hospital wants to provide at least 24 units of nutrient A and 16

In Problems, use the simplex method, Excel, or some other technology.

A hospital wants to provide at least 24 units of nutrient A and 16 units of nutrient B in a meal while minimizing the cost of the meal. Three types of food are available, with the nutritional values and costs (in dollars per ounce) given in the following table.

Units of Units of Nutrient A Nutrient B Cost ($) Food I Food II 2 1 0.25 2 1.25 Food III 1 0.50

(a) What is the minimum possible cost?

(b) How many ounces of each food should be served to minimize cost? Find two solutions that give the minimum cost.

Units of Units of Nutrient A Nutrient B Cost ($) Food I Food II 2 1 0.25 2 1.25 Food III 1 0.50

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