Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x + y z ≤ 72 2x + y z ≤ 36 -x + y + z ≤ 72 x ≥ 0, y ≥ 0, z ≥ 0 The maximum is P = 1 at (x, y, z) = 1

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Solve the linear programming problem by the simplex method.
Maximize
P = x + 4y - 2z
subject to
3x + y
2x + y
The maximum is P =
z ≤ 72
z ≤ 36
-x + y + z ≤ 72
x ≥ 0, y ≥ 0, z ≥ 0
at (x, y, z) = 1
Transcribed Image Text:Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x + y 2x + y The maximum is P = z ≤ 72 z ≤ 36 -x + y + z ≤ 72 x ≥ 0, y ≥ 0, z ≥ 0 at (x, y, z) = 1
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