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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c9d5d10-595d-4cd7-9134-2a40ba56aa9c%2F7cd2a9ce-713e-4e10-853c-479341d5e6e5%2Fh72fs2a_processed.png&w=3840&q=75)
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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