Problem 3 Consider the following simplex tableau for a mAximızation problem: Row x2 X3 X4 X5 rhs 1 a 8 1 -1 1 C -2 1 d. 1 e The entries a, b, c, d, e are unknown parameters. For each of the following statements, for each of the following statements, find conditions on these parameters so that they hold true. (a) The current solution is optimal. (1) T.

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Problem 3 Consider the following simplex tableau for a maximization problem:
Row Z
X2
X4
X5
rhs
1
a
2
8
1
-1
1 0 0
2
-2
1
3
1
e
The entries a, b, c, d, e are unknown parameters. For each of the following statements, for each of
the following statements, find conditions on these parameters so that they hold true.
(a) The current solution is optimal.
(b) The problem is unbounded.
(c) The current solution is feasible, but not optimal.
3.
Transcribed Image Text:Problem 3 Consider the following simplex tableau for a maximization problem: Row Z X2 X4 X5 rhs 1 a 2 8 1 -1 1 0 0 2 -2 1 3 1 e The entries a, b, c, d, e are unknown parameters. For each of the following statements, for each of the following statements, find conditions on these parameters so that they hold true. (a) The current solution is optimal. (b) The problem is unbounded. (c) The current solution is feasible, but not optimal. 3.
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