Question: 4. You are given the following linear programming model in algebraic form, with x1 and x2 as the decision variables: MinimizeCost = 30x1 + 40x2

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

MinimizeCost = 30x1 + 40x2

subject to

Constraint 1:2x1 + 3x2 40

Constraint 2: x1 +x2 18

Constraint 3:2x1 +x2 28 and x 1 0x2 0

a. Use the graphical method to solve this model.

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

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

d. Now incorporate the original model into a spreadsheet and use Solver to solve this model.

Z = , x1 = , x2 = , s1 = , s2 =

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