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?
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?
I just want to check my answers B I got $135. C I got 5x,5y. D I got .525, if only need 199, cost drops $.525 E I believe is zero because we used it.
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