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Business, 18.02.2021 21:30 natalie2sheffield

A manufacturing firm has discontinued production of a certain unprofitable product line. Considerable excess production capacity was created as a result. Management is considering devoting this excess capacity to one or more of three products: X1, X2, and X3. Machine hours required per unit are:
Machine Type X1 X2 X3
Milling Machine 8 2 3
Lathe 4 3 0
Grinder 2 0 1
The available time in machine hours per week is
Machine Hours per Week
Milling Machine 800
Lathe 480
Grinder 320
The salespeople estimate they can sell all the units of X1 and X2 that can be made. But the sales potential of X3 is 80 units per week maximum. Unit profits for the three products are Unit Profits X1 $20 X2 6 X3 8 Set up the equations that can be solved to maximize the profit per week.
a) Write the mathematical formulation to maximize the profit per week (Decision variables: Production amount of X1, X2, and X3) )b) Solve the mathematical formulation using Excel Solver. Show your work in Sheet "Problem 4b."c) What is the optimal solution?

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