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Linear Programming

The Best Power Tools Company manufactures several types of power tools.Two of their most popular models are the PowerDrill and PowerSaw.PowerDrills sell for $60 and cost $35 to produce.PowerSaws sell for $75 and cost $45 to produce.Each product requires two types of skilled labor: assembly and finishing.There are enough finishing specialists to supply 400 hours each month.The company also has assemblers to supply 320 hours each month.Each PowerDrill requires 1 hour of assembly and 1 hour of finishing.Each PowerSaw requires 2 hours of assembly and 1 hour of finishing.

Help company to maximize their profit by mixing production of two products. Solve the model to optimality, generate the sensitivity report and answer the following questions:

1.What are the decision variables?

2.What is the objective function?

3.What are the constraints?

4.What is the optimal solution and what is the objective function value at the optimal solution?

5.Best Power Tools is planning to add additional employees in each of the assembly and finishing departments to increase the hours available in both these departments. How many employees should be added to each of these departments? Each employee works for 8 hours per day and 20 days in a month. What wage should Best Power Tools be willing to pay each employee?Clearly explain how you answered this question.