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Solve each of the following linear programs using the simplex algorithm You should give the initial tableau and each further tableau produced during the execution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. Ideally you should indicate the highlighted row and columns in each pivot step as well as the row operations you carry out 2. maximize 2x₁ +42-3 subject to -2x1 + 3 ≤ 3, 1x12x2 + 4x3 ≤ 2, 1 + x2-3x3 ≤ 2, 2x1₂ +32-6, T1, T2, T3 20

Solve each of the following linear programs using the simplex algorithm You should give the initial tableau and each further tableau produced during the execution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. Ideally you should indicate the highlighted row and columns in each pivot step as well as the row operations you carry out 2. maximize 2x₁ +42-3 subject to -2x1 + 3 ≤ 3, 1x12x2 + 4x3 ≤ 2, 1 + x2-3x3 ≤ 2, 2x1₂ +32-6, T1, T2, T3 20

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve each of the following linear programs using the simplex algorithm You should give the initial tableau and each further tableau produced during the execution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. Ideally you should indicate the highlighted row and columns in each pivot step as well as the row operations you carry out. 2. maximize 2x₁ + 4x₂ subject to - 13 -2x1 + x3 ≤ 3, 1x12x2 + 4x3 ≤ 2, x1 + x2-3x3 ≤ 2, 2x₁x₂ + x32-6, T1, T2, T3 20
Transcribed Image Text:Solve each of the following linear programs using the simplex algorithm You should give the initial tableau and each further tableau produced during the execution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. Ideally you should indicate the highlighted row and columns in each pivot step as well as the row operations you carry out. 2. maximize 2x₁ + 4x₂ subject to - 13 -2x1 + x3 ≤ 3, 1x12x2 + 4x3 ≤ 2, x1 + x2-3x3 ≤ 2, 2x₁x₂ + x32-6, T1, T2, T3 20
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