Find the optimal solution for the following problem. Minimize C = 4x + 12y + 3z subject to 15x + 5y + 12z ≥ 75 6x + 2y + 8z ≥ 150 and x ≥ 0, y ≥ 0. What is the optimal value of x? What is the optimal value of y? What is the optimal value of z? (Round your answer to 3 decimal places.)
Find the optimal solution for the following problem. Minimize C = 4x + 12y + 3z subject to 15x + 5y + 12z ≥ 75 6x + 2y + 8z ≥ 150 and x ≥ 0, y ≥ 0. What is the optimal value of x? What is the optimal value of y? What is the optimal value of z? (Round your answer to 3 decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the optimal solution for the following problem.
| Minimize C = | 4x + 12y + 3z |
| subject to | 15x + 5y + 12z ≥ 75 |
| 6x + 2y + 8z ≥ 150 | |
| and | x ≥ 0, y ≥ 0. |
- What is the optimal value of x?
- What is the optimal value of y?
- What is the optimal value of z? (Round your answer to 3 decimal places.)
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