Maximize Z = 5x1 + x2 + 3x3 + 4x4, subject to X1 – 2x2 + 4x3 + 3x4 < 20 -4x1 + 6x2 + 5x3 – 4x4 < 40 2x1 – 3x2 + 3x3 + 8x4 < 50 and X1 2 0, x2 2 0, X3 2 0, X4 2 0. Work through the simplex method step by step to demonstrate that Z is unbounded.

Maximize Z = 5x1 + x2 + 3x3 + 4x4, subject to X1 – 2x2 + 4x3 + 3x4 < 20 -4x1 + 6x2 + 5x3 – 4x4 < 40 2x1 – 3x2 + 3x3 + 8x4 < 50 and X1 2 0, x2 2 0, X3 2 0, X4 2 0. Work through the simplex method step by step to demonstrate that Z is unbounded.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.10P: Solve the preceding problem for the following data: x=190106,y=230106,xy=160106,and=45.

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Question

DI 4.5-4. Consider the following problem.
Мaximize
Z = 5x1 + x2 + 3x3 + 4x4,
subject to
x1 - 2x2 + 4x3 + 3x4 < 20
-4x1 + 6x2 + 5x3 – 4x4 < 40
2x1 - 3x2 + 3x3 + 8x4 < 50
and
X1 2 0,
X2 2 0,
X3 2 0,
X4 2 0.
Work through the simplex method step by step to demonstrate that
Z is unbounded.

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