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?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 9P
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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?
Transcribed Image 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?
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I am having trouble finding d or e, I made my own excel sheet but couldn't get it right. Was hoping for some help.

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