Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 3 x + 2y + z ≤ 8 x + y ≤ 5 x ≥ 0, y ≥ 0, z ≥ 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 1E
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Maximize p = 14x + 10y + 12z subject to
  • x + yz ≤ 3
  • x + 2y + z ≤ 8
  • x + y ≤ 5
  • x ≥ 0, y ≥ 0, z ≥ 0.
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