Minimize Z = 3x1 + 2x2 + 4x3, subject to 2x, + x2 + 3x3 = 60 3x1 + 3x2 + 5x3 ² 120 and X1 20, x2 ² 0, X3 2 0. (a) Using the Big M method, work through the simplex method step by step to solve the problem.
Minimize Z = 3x1 + 2x2 + 4x3, subject to 2x, + x2 + 3x3 = 60 3x1 + 3x2 + 5x3 ² 120 and X1 20, x2 ² 0, X3 2 0. (a) Using the Big M method, work through the simplex method step by step to solve the problem.
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.CR: Review Problem Set
Problem 37CR
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Transcribed Image Text:Consider the following problem
Minimize
Z = 3x, + 2x2 + 4x3,
subject to
2x, + x2 + 3x3 = 60
3x, + 3x2 + 5x3 ² 120
and
X¡ 20,
X2 2 0,
X3 Z 0.
(a) Using the Big M method, work through the simplex method step
by step to solve the problem.
(b) Using the two-phase method, work through the simplex method
step by step to solve the problem.
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