I need help with D please.  Solve the following LP Maximize $4x + $5y Subject to            4x + 5y ≤ 72                                 6x + 5y ≥ 27                                 -3x + 8y ≥ 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 4x + 5y ≤ 80 d) What is the optimal solution and objective function value if the third constraint changes to -3x + 8y ≤ 0?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
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I need help with D please. 

Solve the following LP

Maximize $4x + $5y

Subject to            4x + 5y ≤ 72

                                6x + 5y ≥ 27

                                -3x + 8y ≥ 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 4x + 5y ≤ 80

d) What is the optimal solution and objective function value if the third constraint changes to -3x + 8y ≤ 0? 

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