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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the optimal solution for the following problem.
Maximize C =
subject to
and
a. What is the optimal value of x?
X
4x+12y + 3z
15x + 5y + 12z ≤ 75
6x + 2y + 8z ≤ 150
x = 0, y = 0, z ≥ 0.
y
b. What is the optimal value of y?
0
Z
15
c. What is the optimal value of z?
0
Transcribed Image Text:Find the optimal solution for the following problem. Maximize C = subject to and a. What is the optimal value of x? X 4x+12y + 3z 15x + 5y + 12z ≤ 75 6x + 2y + 8z ≤ 150 x = 0, y = 0, z ≥ 0. y b. What is the optimal value of y? 0 Z 15 c. What is the optimal value of z? 0
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