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?

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?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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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