Solve the primal problem by the simplex method. Construct the dual for this primal problem. Find the optimal solution to the dual problem.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter8: Evolutionary Solver: An Alternative Optimization Procedure
Section8.5: Combinatorial Models
Problem 6P
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Consider the following primal linear programming problem.
Maximize Z = -2x₁ - x₂ + x₂
subject to
x₁
+ x₂
x₂
x₁
X₁,
X₂+
+ x₂ ≤ 3
+x₂ 2 2
+x₂ = 1
* 20
Solve the primal problem by the simplex method.
Construct the dual for this primal problem.
Find the optimal solution to the dual problem.
Transcribed Image Text:Consider the following primal linear programming problem. Maximize Z = -2x₁ - x₂ + x₂ subject to x₁ + x₂ x₂ x₁ X₁, X₂+ + x₂ ≤ 3 +x₂ 2 2 +x₂ = 1 * 20 Solve the primal problem by the simplex method. Construct the dual for this primal problem. Find the optimal solution to the dual problem.
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