14) Consider the following linear programming problem. x - 2z s 10 x+y + 6z s 80 x2 0, y 2 0, z 2 0. Maximize P = 3x + 2y + 5z subject to . The associated final simplex tableau is as follows: x y zu v P [10 -2 1 00| 10] 0 1 8 -1 10 70 [0 0 5 1 21|170] Find the optimal solution of the minimization problem.
14) Consider the following linear programming problem. x - 2z s 10 x+y + 6z s 80 x2 0, y 2 0, z 2 0. Maximize P = 3x + 2y + 5z subject to . The associated final simplex tableau is as follows: x y zu v P [10 -2 1 00| 10] 0 1 8 -1 10 70 [0 0 5 1 21|170] Find the optimal solution of the minimization problem.
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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Minimize
C = 6x1 + 3x2
subject to: 3x1 + 2x2 2 34
2x1 + 5x2 2 43
x1 , x2 2 0
A) Maximize P= 34y1 +43y2
B) Maximize P=43y1 +34y2
subject to: 3y1 + 2y2 2 6
subject to: 2y1 + 3y2 ² 6
2y1 + 5у2 3
y1, y2 > 0
C) Maximize P= 43y1 +34y2
5y1 + 2y2 2 3
У1, у2 2 0
D) Maximize P=34y1 + 43y2
subject to: 2y1 + 3y2 s 6
subject to: 3y1 + 2y2 s 6
5y1 + 2y2 s 3
2y1 + 5y2 s 3
y1, y2 2 0
y1, y2 > 0
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
Solve the problem.
14) Consider the following linear programming problem.
- 2z s 10
14)
Maximize P = 3x + 2y + 5z subject to
x + y + 6z s 80
x 2 0, y 2 0, z 2 0.
The associated final simplex tableau is as follows:
ху Z u v P
10
1 0 -2 1 0 0
0 1 8 -1 10
0 0 5 1 2 1 170
70
Find the optimal solution of the minimization problem .
PAGE 5 REVIEW_SANJAC
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