Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minimize C = 14x + 7y + 8z subject to 6x + 12y + 19z 2 64 17x + 24y + 9z 2 128 x 2 0, y 2 0, z z 0. and a. What is the optimal value of x? b. What is the optimal value of y?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 49P: If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60...
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Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)
Minimize C =
14x + 7y + 8z
subject to
6x + 12y + 19z 2 64
17x + 24y + 9z 2 128
x 2 0, y 2 0, z 2 0.
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. (Round your answers to 3 decimal places.) Minimize C = 14x + 7y + 8z subject to 6x + 12y + 19z 2 64 17x + 24y + 9z 2 128 x 2 0, y 2 0, z 2 0. and a. What is the optimal value of x? b. What is the optimal value of y?
c. What is the optimal value of z?
Z.
d. What is the minimum value of the objective function?
Minimum value
Transcribed Image Text:c. What is the optimal value of z? Z. d. What is the minimum value of the objective function? Minimum value
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