c) Consider the following problem. Maximize Z = x,+2x2 Subject to: -x1+x, < -2 4x1 +x2 < 4 X1 2 0, x2 20 (i) Construct the dual problem. (ii) Demonstrate graphically that the dual problem has an unbounded objective function

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 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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c) Consider the following problem.
Maximize Z = x,+2x2
Subject to:
-x1+x2 < -2
4x, + x, < 4
X1 2 0, x, 20
(i) Construct the dual problem.
(ii) Demonstrate graphically that the dual problem has an unbounded objective
function
Transcribed Image Text:c) Consider the following problem. Maximize Z = x,+2x2 Subject to: -x1+x2 < -2 4x, + x, < 4 X1 2 0, x, 20 (i) Construct the dual problem. (ii) Demonstrate graphically that the dual problem has an unbounded objective function
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