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2. Consider the following problem Maximize Z= 90x, + 70x, S.T. 2x1 + x2 <2 X1 – x2>2 X1, X2>0 a) Graphically show that this problem has no feasible solution b) Introduce an artificial variable to express this problem as a standard LP form in preparation for simplex method.

2. Consider the following problem Maximize Z= 90x, + 70x, S.T. 2x1 + x2 <2 X1 – x2>2 X1, X2>0 a) Graphically show that this problem has no feasible solution b) Introduce an artificial variable to express this problem as a standard LP form in preparation for simplex method.

Advanced Engineering Mathematics
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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2. Consider the following problem Maximize Z= 90x, + 70x, S.T. 2x1 + x2 < 2 X1 – X2>2 X1, X2>0 a) Graphically show that this problem has no feasible solution b) Introduce an artificial variable to express this problem as a standard LP form in preparation for simplex method. c) Describe what the artificial variable does to the feasible region of this problem.
Transcribed Image Text:2. Consider the following problem Maximize Z= 90x, + 70x, S.T. 2x1 + x2 < 2 X1 – X2>2 X1, X2>0 a) Graphically show that this problem has no feasible solution b) Introduce an artificial variable to express this problem as a standard LP form in preparation for simplex method. c) Describe what the artificial variable does to the feasible region of this problem.
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