Find the optimal solution of the Linear Programming problem below using Big M method. Write the standard form first and then present your solution. Indicate if there are any special cases. Maximize Z = 2x1 + 3x2 - X3 - 3x4 Subject to 2x1 + 3x2 - X3 - 5x4 2 25 X1- X2 + 7x3 + X4 2 14 -X1 + 2x2 + 3x4 2 -6 X4= 3 X1, X2, X3, X4 2 0

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 44PS
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linear programming problem
Find the optimal solution of the Linear Programming
problem below using Big M method. Write the standard
form first and then present your solution. Indicate if there
are any special cases.
Maximize Z = 2x1 + 3x2 - X3 - 3x4
Subject to
2x1 + 3x2 - X3 - 5x4 2 25
X1- X2 + 7x3 + X4 2 14
-X1 + 2x2
+ 3x4 2 -6
X4= 3
X1, X2, X3, X4 2 0
Transcribed Image Text:Find the optimal solution of the Linear Programming problem below using Big M method. Write the standard form first and then present your solution. Indicate if there are any special cases. Maximize Z = 2x1 + 3x2 - X3 - 3x4 Subject to 2x1 + 3x2 - X3 - 5x4 2 25 X1- X2 + 7x3 + X4 2 14 -X1 + 2x2 + 3x4 2 -6 X4= 3 X1, X2, X3, X4 2 0
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