You are given the following linear programming model in algebraic form, with x1 and x2 as the decision variables:
Minimize Cost = 40×1 + 50×2
Subject to
Constraint 1: 2×1 + 3×2 ( 30
Constraint 2: x1 + x2 ( 12
Constraint 3: 2×1 + x2 ( 20
And
x1 ( 0 x2 ( 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 = 40×1 + 70 x2?
c. How does the optimal solution change if the third functional constraint is changed to 2×1 + x2 ( 15?
d. Now incorporate the original model into a spreadsheet and use Solver to solve this model.
e. Use Excel to do parts b and c?
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