Answer to Question #220602 in Operations Research for Joe

Question

Suppose that in a product-mix problem 𝒙𝟏, 𝒙𝟐 and 𝑥3 indicate the units of products 1, 2 and 3, respectively, and the Linear Programming  formulation is:                     

Maximize Z = 20x1 + 10x2 + 15x3   Subject to:   3x1 + 2x2 + 5x3 ≤ 55    2x1 + x2 + x3 ≤ 26    x1 + x2 + 3x3 ≤ 30    5x1 + 2x2 + 4x3 ≤ 57    x1 , x2 , x3 ≥ 0  

a) Use solver to find optimal solution and sensitivity report.         b) Management have asked you to determine the optimal solution. Write your answer in a form of a report to be submitted to the management.     c) Advice the management about objective function value corresponding to your answer in (b).