Find the optimal solution for the following problem. Minimize C = 4x + 12y + 3z 15x + 5y + 12z 2 75 6x + 2y + 8z 2 150 x 2 0, y 2 0, z 2 0. subject to and a. What is the optimal value of x? b. What is the optimal value of y?

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
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 2E
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Find the optimal solution for the following problem.
4x + 12y + 3z
15x + 5y + 12z 2 75
6x + 2y + 8z 2 150
x 2 0, y 2 0, z z 0.
Minimize C =
subject to
and
a. What is the optimal value of x?
b. What is the optimal value of y?
Transcribed Image Text:Find the optimal solution for the following problem. 4x + 12y + 3z 15x + 5y + 12z 2 75 6x + 2y + 8z 2 150 x 2 0, y 2 0, z z 0. Minimize C = subject to and a. What is the optimal value of x? b. What is the optimal value of y?
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