QUESTION SIX AWrite the dual ofthe following LP problem Minimize z = 3x, – 2x, + 4x, Subject to the constraints 3x, + 5x, + 4x, 27 6x, + x, + 3x, 24 7x, - 2x, -x, S 10 * - 2x, + 5x, 2 3 4x, + 7x, – 2x, 22 B) Folve the following LP problem Maximize z = 650x, + 700x, + 225x, + 250x, Subject to the constraints 700x, +850x, + 300x, + 350x, S 1200 550x, + 550x, + 150x, + 200x, S 700 400x, + 350x, + 100x, S 400 x, +x 21 -x, +x,S1

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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QUESTION SIX
AIWrite the dual ofthe following LP problem
Minimize Z = 3x, - 2x, + 4x3
Subject to the constraints
3x, + 5x, + 4x 27
6x, + x, + 3x, 2 4
7x, - 2x, -x, S 10
X1- 2x, + 5x, 2 3
4x, + 7x, - 2x, 22
B) Bolve the following LP problem
Maximize Z = 650x, + 700x, + 225x, + 250x,
Subject to the constraints
700x, +850x, + 300x, + 350x, S 1200
550x, +550x, + 150x, + 200x, < 700
400x, + 350x, + 100x, < 400
x, + x2 21
-x3 + x,S1
X1, X2, X31 X4 2 0; x,X2 Xg. X, integer
Transcribed Image Text:QUESTION SIX AIWrite the dual ofthe following LP problem Minimize Z = 3x, - 2x, + 4x3 Subject to the constraints 3x, + 5x, + 4x 27 6x, + x, + 3x, 2 4 7x, - 2x, -x, S 10 X1- 2x, + 5x, 2 3 4x, + 7x, - 2x, 22 B) Bolve the following LP problem Maximize Z = 650x, + 700x, + 225x, + 250x, Subject to the constraints 700x, +850x, + 300x, + 350x, S 1200 550x, +550x, + 150x, + 200x, < 700 400x, + 350x, + 100x, < 400 x, + x2 21 -x3 + x,S1 X1, X2, X31 X4 2 0; x,X2 Xg. X, integer
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9781337406659
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Cengage,