Calculation Of Dual Problem Using Simplex Method
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Question
You are given the final simplex tableau for the dual problem. Give the solution to the primal problem and the associated dual problem.
Minimize C = 5x + 4y
Subject to 9x + y ≥ 12
4x – 4y ≥ 16
x + 8y ≥ 16
x ≥ 0, y ≥ 0
|
u |
v |
w |
x |
y |
P |
Constant |
|
1 |
0 |
-7/8 |
1/8 |
-1/8
|
0 |
1/8 |
|
0 |
1 |
71/32 |
-1/32 |
9/32 |
0 |
31/32 |
|
|
|
|
|
|||
|
0 |
0 |
9 |
1 |
3 |
1 |
17 |
a. x = 1, y = 3, u = 1/8, w = 0 C = P = 17
b. x = 1/8, y = 9/32, u = 1/8, v = 31/32, w = 0 C = P = 1
c. x = 1/8, y = 9/32, u = 0; v = 0, w = 0, C = P = 1
d. x = 1, y = 3, u = 0, v = 0 w = 71/32, C =P = 17
Summary
The question belongs to Mathematics and it is about solving dual problem using simplex method.
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