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Write the dual of the following LP pra lem Minimize Z = 3r- 2r2 + 4x3 Subject to the constraints 3r, + 5x, + 4r3 27 6r, + *g + 3r3 2 4 7r - 2r2 - 3< 10 *1- 2r2 + 5x3 2 3 4r1+ 7x2 - 2r3 2 2 *1, 12, 3 2 0

Write the dual of the following LP pra lem Minimize Z = 3r- 2r2 + 4x3 Subject to the constraints 3r, + 5x, + 4r3 27 6r, + *g + 3r3 2 4 7r - 2r2 - 3< 10 *1- 2r2 + 5x3 2 3 4r1+ 7x2 - 2r3 2 2 *1, 12, 3 2 0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Write the dual of the following LP prob lem Minimize Z = 3r- 2r2 + 4r3 Subject to the constraints 3r, + 5x, + 4r3 27 6r, + *2 + 3r3 2 4 7 - 2r - 13 < 10 *1- 2r2 + 5x3 2 3 4r, + 7x2 – 2r3 2 2 *1, 12, L3 2 0
Transcribed Image Text:Write the dual of the following LP prob lem Minimize Z = 3r- 2r2 + 4r3 Subject to the constraints 3r, + 5x, + 4r3 27 6r, + *2 + 3r3 2 4 7 - 2r - 13 < 10 *1- 2r2 + 5x3 2 3 4r, + 7x2 – 2r3 2 2 *1, 12, L3 2 0
Expert Solution
Step 1

Find dual from of the lp problem
MIN z = 3x1 - 2x2 + 4x3
subject to
3x1 + 5x2 + 4x3 >= 7
6x1 + x2 + 3x3 >= 4
7x1 - 2x2 - x3 <= 10
x1 - 2x2 + 5x3 >= 3
4x1 + 7x2 - 2x3 >= 2
and x1,x2,x3 >= 0

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