In this problem we want to understand how the simplex method deals with an LP problem having an infinite number of solutions. Solve: Maximize z = 2.x1 + 4x2 subject to x1 + 2x2 < 5, x1 + x2 < 4, X1, X2 > 0. You will get an optimal solution by doing just one iteration. But there could be more solutions as the objective function has the same slope as the line determined by the second constraint. If you did not know that, what features in the tableau would have signalled this possibility? State your idea as a rule that checks the final tableau to determine if an infinite number of optimal solutions is possible. Give a very brief explanation to justify why your rule should work. Using your rule, do one more iteration to obtain a second optimal solution.

In this problem we want to understand how the simplex method deals with an LP problem having an infinite number of solutions. Solve: Maximize z = 2.x1 + 4x2 subject to x1 + 2x2 < 5, x1 + x2 < 4, X1, X2 > 0. You will get an optimal solution by doing just one iteration. But there could be more solutions as the objective function has the same slope as the line determined by the second constraint. If you did not know that, what features in the tableau would have signalled this possibility? State your idea as a rule that checks the final tableau to determine if an infinite number of optimal solutions is possible. Give a very brief explanation to justify why your rule should work. Using your rule, do one more iteration to obtain a second optimal solution.

Name: In this problem we want to understand how the simplex method deals wi
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Description: In this problem we want to understand how the simplex method deals with an LP problem havingan infinite number of solutions.Solve: Maximize z =2.x1 + 4x2 subject to x1 + 2x2 0.You will get an optimal solution by doing just o

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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