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You are given the tableau shown in Table 74 for amaximization problem. Give conditions on the unknowns a1, a2, a3, b, and c that make the following statements true: a The current solution is optimal. b The current solution is optimal, and there are alternativeoptimal solutions. c The LP is unbounded (in this part, assume that b0).

You are given the tableau shown in Table 74 for amaximization problem. Give conditions on the unknowns a1, a2, a3, b, and c that make the following statements true: a The current solution is optimal. b The current solution is optimal, and there are alternativeoptimal solutions. c The LP is unbounded (in this part, assume that b0).

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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You are given the tableau shown in Table 74 for amaximization problem. Give conditions on the unknowns a1, a2, a3, b, and c that make the following statements true:

a The current solution is optimal.

b The current solution is optimal, and there are alternativeoptimal solutions.

c The LP is unbounded (in this part, assume that b0).

5. You are given the tableau shown in Table 74 for a maximization problem. Give conditions on the unknowns a, a, a3, b, and c that make the following statements true: a The current solution is optimal. b The current solution is optimal, and there are alternative optimal solutions. c The LP is unbounded (in this part, assume that b0). TABLE 74 Z 1 0 0 0 X₁ -C -1 a2 a3 X₂ 2 a₁ -4 3 X3 0 1 0 0 X4 0 0 1 0 X5 0 0 0 1 rhs 10 4 1 b
Transcribed Image Text:5. You are given the tableau shown in Table 74 for a maximization problem. Give conditions on the unknowns a, a, a3, b, and c that make the following statements true: a The current solution is optimal. b The current solution is optimal, and there are alternative optimal solutions. c The LP is unbounded (in this part, assume that b0). TABLE 74 Z 1 0 0 0 X₁ -C -1 a2 a3 X₂ 2 a₁ -4 3 X3 0 1 0 0 X4 0 0 1 0 X5 0 0 0 1 rhs 10 4 1 b
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