Question: You are given the following linear programming model in algebraic form, with x1 and x2 as the decision variables: Minimize Cost = 40x1 + 50x2

You are given the following linear programming model in algebraic form, with x1 and x2 as the decision variables:

Minimize Cost = 40x1 + 50x2

Subject to

Constraint 1: 2x1 + 3x2 30

Constraint 2: x1 + x2 12

Constraint 3: 2x1 + x2 20

And x1 0, x2 0

a. Solve this model using Excel.

b. Is x1 = 6 and x2 = 8 a feasible solution? Why?

c. Is x1 = 5 and x2 = 7 a feasible solution? Why?

d. How does the optimal solution change if the objective function is changed to Cost = 40x1 + 70x2?

e. How does the optimal solution change if the third functional constraint is changed to 2x1 + x2 15?

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