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Solution Library
Calculation Of Dual Problem Using Simplex Method
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.
Total Word Count NA
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