You are given the final simplex tableau for the dual problem. Problem: Minimize C = 4x + 3y subject to 5x + y ≥ 10 2x + 2y ≥ 12 x + 4y ≥ 12 x ≥ 0, y ≥ 0 Final tableau: u v w x y P Constant 1 0 − 3 4 1 4 − 1 4 0 1 4 0 1 19 8 − 1 8 5 8 0 11 8 0 0 9 1 5 1 19 Give the solution to the primal problem. The minimum is C = at (x, y) = . Give the solution to the associated dual problem. The maximum is P = at (u, v, w) =
You are given the final simplex tableau for the dual problem. Problem: Minimize C = 4x + 3y subject to 5x + y ≥ 10 2x + 2y ≥ 12 x + 4y ≥ 12 x ≥ 0, y ≥ 0 Final tableau: u v w x y P Constant 1 0 − 3 4 1 4 − 1 4 0 1 4 0 1 19 8 − 1 8 5 8 0 11 8 0 0 9 1 5 1 19 Give the solution to the primal problem. The minimum is C = at (x, y) = . Give the solution to the associated dual problem. The maximum is P = at (u, v, w) =
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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You are given the final simplex tableau for the dual problem.
Problem: | Minimize | C = 4x + 3y | ||||
subject to | 5x | + | y | ≥ | 10 | |
2x | + | 2y | ≥ | 12 | ||
x | + | 4y | ≥ | 12 | ||
x ≥ 0, y ≥ 0 |
Final tableau:
u | v | w | x | y | P | Constant | ||||||||
1 | 0 |
−
|
|
−
|
0 |
|
||||||||
0 | 1 |
|
−
|
|
0 |
|
||||||||
0 | 0 | 9 | 1 | 5 | 1 | 19 |
Give the solution to the primal problem.
The minimum is C = at
(x, y) =
.
Give the solution to the associated dual problem.
The maximum is P = at
(u, v, w) =
.
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