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

Question

2. 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.) Calcium 2 2 Protein 2 6 Calories 6 2 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 minimum cost of meeting the nutrient requirements? (9)

b. Calculate and provide an economic interpretation of the shadow price associated with calcium. (3)

Explanation / Answer

milk 1 oz 10 dollars

Cereal (1 oz.) 15 dollars

calcium 22

protein 26

calories 62

50 units of calcium, 90 units of protein, and 66 calories is reqirement 2.2 times more ca, 3.4 times protein 1.06 times more calories

Here table is unclear

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