Solve the following LP Maximize $5x + $6y Subject to            2x + 3y ≤ 10 (labor, in hours)                                 6x + 6y ≤ 36 (materials, in pounds)                                 7x + 5y ≤ 40 (storage, in square feet)                                 x, y ≥ 0 a) Write the original optimal solution and objective function value. b) What is the optimal solution and objective function value if you acquire 2 additional pounds of material? c) What is the optimal solution and objective function value if you acquire 1.5 additional hours of labor? d) What is the optimal solution and objective function value if you give up 1 hour of labor and get 1.5 pounds of material? e) What is the optimal solution and objective function value if you introduce a new product that has a profit contribution of $2? Each unit of this product will use 1 hour of labor, 1 pound of material, and 2 square feet of storage space.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I need help with C, D, and E please. 

Solve the following LP

Maximize $5x + $6y

Subject to            2x + 3y ≤ 10 (labor, in hours)

                                6x + 6y ≤ 36 (materials, in pounds)

                                7x + 5y ≤ 40 (storage, in square feet)

                                x, y ≥ 0

a) Write the original optimal solution and objective function value.

b) What is the optimal solution and objective function value if you acquire 2 additional pounds of material?

c) What is the optimal solution and objective function value if you acquire 1.5 additional hours of labor?

d) What is the optimal solution and objective function value if you give up 1 hour of labor and get 1.5 pounds of material?

e) What is the optimal solution and objective function value if you introduce a new product that has a profit contribution of $2? Each unit of this product will use 1 hour of labor, 1 pound of material, and 2 square feet of storage space. 

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