) Consider the following linear programming formulation: Minimize cost = $1X₁ + $2X₂ Subject to: X₁ +3X₂ ≥ 90 8X1 + 2X₂ ≥ 160 3X₁ + 2X₂ ≥ 120 X₂ ≤ 70 (a) Graphically illustrate the feasible region to indicate which corner point produces the optimal solution. (b) What is the cost of this optimal solution?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Question
) Consider the following linear programming formulation:
Minimize cost = $1X₁ + $2X₂
Subject to:
X1 + 3X2 ≥ 90
8X1 + 2X2 ≥ 160
3X₁ + 2X₂ 120
X₂ ≤ 70
(a) Graphically illustrate the feasible region to indicate which corner
point produces the optimal solution.
(b) What is the cost of this optimal solution?
Transcribed Image Text:) Consider the following linear programming formulation: Minimize cost = $1X₁ + $2X₂ Subject to: X1 + 3X2 ≥ 90 8X1 + 2X2 ≥ 160 3X₁ + 2X₂ 120 X₂ ≤ 70 (a) Graphically illustrate the feasible region to indicate which corner point produces the optimal solution. (b) What is the cost of this optimal solution?
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