Solve the following LP Maximize $4x + $3y Subject to 2x + 4y ≤ 80 3x + 6y ≥ 30 -3x + 10y ≥ 0 x, y ≥ 0 a) Write the original optimal solution and objective function value. b) What is the optimal solution and objective function value if the profit per unit of x decreases to $1? c) What is the optimal solution and objective function value if the first constraint changes to 2x + 4y ≤ 90
Solve the following LP Maximize $4x + $3y Subject to 2x + 4y ≤ 80 3x + 6y ≥ 30 -3x + 10y ≥ 0 x, y ≥ 0 a) Write the original optimal solution and objective function value. b) What is the optimal solution and objective function value if the profit per unit of x decreases to $1? c) What is the optimal solution and objective function value if the first constraint changes to 2x + 4y ≤ 90
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
Solve the following LP
Maximize $4x + $3y
Subject to 2x + 4y ≤ 80
3x + 6y ≥ 30
-3x + 10y ≥ 0
x, y ≥ 0
a) Write the original optimal solution and objective function value.
b) What is the optimal solution and objective function value if the profit per unit of x decreases to $1?
c) What is the optimal solution and objective function value if the first constraint changes to 2x + 4y ≤ 90
d) What is the optimal solution and objective function value if the third constraint changes to -3x + 10y ≤ 0?
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