An athlete carefully watches her intake of calcium, protein, and calories.

Her breakfast diet consists mainly of milk and cereal, whose prices and

nutrient contents appear in the following table:

Milk (1 oz.) Cereal (1 oz.)

Calcium22

Protein26

Calories62

Price$.10$.15

She seeks a diet that supplies at least 50 units of calcium, 90 units of

protein, and 66 calories at minimum cost.

a. Formulate, graph, and solve this decision problem. What is the

the minimum cost of meeting the nutrient requirements?

b.Assume that the calcium requirement increases from 50 to 54 units

Calculate and provide an economic interpretation of the shadowprice associated with calcium