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Solve the following linear program 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. You should indicate the highlighted row and columns in each pivot step as well as the row operations you carry out. This is in order to gain credit even if the final answer is incorrect. maximize 21+ 3x2+5x3 + 4 subject to 1+2+2x3+4 ≤2, 3x2+3x3 + 3x ≤6, 31 +22+2x3 + x ≤7, T1, T2, T3, T4≥ 0

Solve the following linear program 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. You should indicate the highlighted row and columns in each pivot step as well as the row operations you carry out. This is in order to gain credit even if the final answer is incorrect. maximize 21+ 3x2+5x3 + 4 subject to 1+2+2x3+4 ≤2, 3x2+3x3 + 3x ≤6, 31 +22+2x3 + x ≤7, T1, T2, T3, T4≥ 0

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 the following linear program 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. You should indicate the highlighted row and columns in each pivot step as well as the row operations you carry out. This is in order to gain credit even if the final answer is incorrect. maximize 21+ 3x2+5x3 + 4 subject to 1+2+2x3+4 ≤2, 3x2+3x3 + 3x ≤6, 31 +22+2x3 + x ≤7, T1, T2, T3, T4≥ 0
Transcribed Image Text:Solve the following linear program 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. You should indicate the highlighted row and columns in each pivot step as well as the row operations you carry out. This is in order to gain credit even if the final answer is incorrect. maximize 21+ 3x2+5x3 + 4 subject to 1+2+2x3+4 ≤2, 3x2+3x3 + 3x ≤6, 31 +22+2x3 + x ≤7, T1, T2, T3, T4≥ 0
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