2. A diet needs to include at least 200 mg of Vitamin A and Vitamin B. These requirements are to be obtained from two types of food. Type X contains 16 mg of Vitamin A and 24 mg of Vitamin B per...


2. A diet needs to include at least 200 mg of Vitamin A and Vitamin B. These requirements are to be<br>obtained from two types of food. Type X contains 16 mg of Vitamin A and 24 mg of Vitamin B per<br>pound. Type Y contains 24 mg of Vitamin A and 16 mg of Vitamin B per pound. Type X food costs<br>$15 and type Y food costs $12 per pound.<br>a) Write the standard format for the problem.<br>b) What is the minimum cost of the best diet?<br>c) What is the mix of foods chosen to consume for the best diet?<br>d) What is the shadow price of the Vitamin B constraint? What does this mean?<br>e) What is the reduced cost of X? What does this mean?<br>

Extracted text: 2. A diet needs to include at least 200 mg of Vitamin A and Vitamin B. These requirements are to be obtained from two types of food. Type X contains 16 mg of Vitamin A and 24 mg of Vitamin B per pound. Type Y contains 24 mg of Vitamin A and 16 mg of Vitamin B per pound. Type X food costs $15 and type Y food costs $12 per pound. a) Write the standard format for the problem. b) What is the minimum cost of the best diet? c) What is the mix of foods chosen to consume for the best diet? d) What is the shadow price of the Vitamin B constraint? What does this mean? e) What is the reduced cost of X? What does this mean?

Jun 07, 2022
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