The final simplex tableau of a problem is shown below: 8 9 0 0 s1 s2 Cj Sol. Mix x1 x2 Quantity 0 2/3 -1/3 1-1/3 2/3 9 7/3 10/3 0 -7/3 -10/3 8 x1 1. 3 9 x2 10 Zj 8 114 Cj - Zj (1) (2) c) What would the value be of an additional unit of constraint #2? (2) a) Write down the final solution. b) What is the shadow price of x1?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The final simplex tableau of a problem is shown below:
8 9 0 0
Sol. Mix x1 x2 s1 s2
Cj
Quantity
8 x1
1.
0 2/3 -1/3
3
9 x2
1-1/3 2/3
10
9 7/3 10/3
0-7/3 -10/3
Zj
8
114
Cj - Zj
a) Write down the final solution.
(1)
b) What is the shadow price of x1?
(2)
c) What would the value be of an additional unit of constraint #2? (2)
Transcribed Image Text:The final simplex tableau of a problem is shown below: 8 9 0 0 Sol. Mix x1 x2 s1 s2 Cj Quantity 8 x1 1. 0 2/3 -1/3 3 9 x2 1-1/3 2/3 10 9 7/3 10/3 0-7/3 -10/3 Zj 8 114 Cj - Zj a) Write down the final solution. (1) b) What is the shadow price of x1? (2) c) What would the value be of an additional unit of constraint #2? (2)
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