Q1. Suppose we have obtained the tableau below for a maximization problem. State conditions on ai, a2, as, b, ci, and cz that make the following statements true: a) The current solution is optimal, and there are alternative optimal solutions. b) The current basic solution is not a basic feasible solution. c) The current basic solution is a degenerate basic feasible solution.

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Q1. Suppose we have obtained the tableau below for a maximization problem. State conditions on
ai, a2, as, b, cı, and cz that make the following statements true:
a) The current solution is optimal, and there are alternative optimal solutions.
b) The current basic solution is not a basic feasible solution.
c) The current basic solution is a degenerate basic feasible solution.
d) The current basic solution is feasible, but the LP is unbounded.
e) The current basic solution is feasible, but the objective function value can be improved by
replacing x as a basic variable with x1.
Basic
RHS
XI
X2
X3
Х4
X5
X6
C2
2
10
X3
4
ai
az
b
X4
-1
-5
1
-1
2
X6
a3
-3
4
1
3
O-O0
Transcribed Image Text:Q1. Suppose we have obtained the tableau below for a maximization problem. State conditions on ai, a2, as, b, cı, and cz that make the following statements true: a) The current solution is optimal, and there are alternative optimal solutions. b) The current basic solution is not a basic feasible solution. c) The current basic solution is a degenerate basic feasible solution. d) The current basic solution is feasible, but the LP is unbounded. e) The current basic solution is feasible, but the objective function value can be improved by replacing x as a basic variable with x1. Basic RHS XI X2 X3 Х4 X5 X6 C2 2 10 X3 4 ai az b X4 -1 -5 1 -1 2 X6 a3 -3 4 1 3 O-O0
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