Consider the following problem: Maximize Z= 2x1 - x2 + X3, subject to x2+ 3x3 < 4 2x1 +x2 X1 - < 10 X1 - X2 - X3 < 7 an X1 2 0, x2 > 0, X3 2 0. Work through the simplex method step by step in tabular form to solve the problem. Please show your tabular form in each iteration and show your optimal solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following problem:
Maximize Z= 2x1 - x2 + X3,
subject to
x2 + 3x3 < 4
2x1 +x2
X1 -
< 10
X1 - X2 - X3 < 7
and
X1 2 0, x2 > 0, X3 2 0.
Work through the simplex method step by step in tabular form to solve the problem. Please
show your tabular form in each iteration and show your optimal solution.
Transcribed Image Text:Consider the following problem: Maximize Z= 2x1 - x2 + X3, subject to x2 + 3x3 < 4 2x1 +x2 X1 - < 10 X1 - X2 - X3 < 7 and X1 2 0, x2 > 0, X3 2 0. Work through the simplex method step by step in tabular form to solve the problem. Please show your tabular form in each iteration and show your optimal solution.
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