Write the dual for each of the following primal problems: (a) Maximize z = 66x1 – 22x2 subject to -X1 + x2 s -2 2x, + 3x, s 5 X1, X, 2 0 (b) Minimize z = 6x1 + 3x2 subject to 6x1 - 3x2 + xạ 2 25 3x1 + 4x2 + X3 55 X1, X2, X3 2 0 (c) Maximize z = x1 + x2 subject to 2x, + x, = 5 3x, - x, = 6 X1, x2 unrestricted

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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Write the dual for each of the following primal problems:
(a) Maximize z = 66x1 – 22x2
subject to
-X1 + x2 s -2
2x, + 3x, s 5
X1, X2 2 0
(b) Minimize z = 6x¡ + 3x2
subject to
6x1 - 3x2 + x, 2 25
3x1 + 4x2 + X3 55
X1, X2, X3 2 0
=(c) Maximize z = x1 + x2
subject to
2r, + x, = 5
3x, - x, = 6
X1, x2 unrestricted
Transcribed Image Text:Write the dual for each of the following primal problems: (a) Maximize z = 66x1 – 22x2 subject to -X1 + x2 s -2 2x, + 3x, s 5 X1, X2 2 0 (b) Minimize z = 6x¡ + 3x2 subject to 6x1 - 3x2 + x, 2 25 3x1 + 4x2 + X3 55 X1, X2, X3 2 0 =(c) Maximize z = x1 + x2 subject to 2r, + x, = 5 3x, - x, = 6 X1, x2 unrestricted
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