Consider the following maximization problem. Maximize P = 12x + y – 13z subject to the constraints 12x у 14z 80 13y 2z 28 3x 6z < 56 x 2 0 y 2 0 z 2 0 Introduce slack variables (denoted u, v, and w) and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. y P Constants w VI VI

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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Consider the following maximization problem.
Maximize
Р%- 12х + у — 13z
subject to the constraints
12x
y
14z
< 80
-
13у
2z
< 28
-
3x
6z
56
x > 0
y 2 0
z > 0
Introduce slack variables (denoted u, v, and w) and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them.
y
u
w
P
Constants
+ + +
Transcribed Image Text:Consider the following maximization problem. Maximize Р%- 12х + у — 13z subject to the constraints 12x y 14z < 80 - 13у 2z < 28 - 3x 6z 56 x > 0 y 2 0 z > 0 Introduce slack variables (denoted u, v, and w) and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. y u w P Constants + + +
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