5. Maximize z = 3x, + x2 + 4x3 subject to 3x, + 3x2 + xz < 18 2x1 + 2x2 + 4xz = 12 %3D X1 2 0, x3 2 0. 6. Minimize z = 5x, + 2x2 + 6x3 subject to 4x, + 2x, + X3 z 12 3x, + 2x2 + 3x356 X1 2 0, x2 2 0.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 1P
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find the dual of the given linear programming  problem 

5. Maximize
subject to
3x1 + x2 + 4x3
z =
3x1 + 3x, + X3 < 18
2x1 + 2x2 + 4xz = 12
x1 2 0, x3 2 0.
6. Minimize
z = 5x1 + 2x2 + 6x3
subject to
4x1 + 2x, + x3 z 12
Зx, + 2х, + 3x, s 6
х, 2 0, х, 2 0.
Transcribed Image Text:5. Maximize subject to 3x1 + x2 + 4x3 z = 3x1 + 3x, + X3 < 18 2x1 + 2x2 + 4xz = 12 x1 2 0, x3 2 0. 6. Minimize z = 5x1 + 2x2 + 6x3 subject to 4x1 + 2x, + x3 z 12 Зx, + 2х, + 3x, s 6 х, 2 0, х, 2 0.
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