Assembly (hrs) Finishing Cost ($) Price ($) PowerDrill requirement PowerSaw requirement Capacity 392 307 2 2 36 68 1 3 60 94

Question

The Best Power Tools Company manufactures several types of power tools. Two of their most popular models
are the PowerDrill and PowerSaw. Both models require two types of labor: assembly and finishing.
Your worksheet provides information for required assembly and finishing as well as sales price and cost of
production for each model. The table also includes the available assembly and finishing labor resources for the
next week.
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: (Hint: don’t forget to calculate the profit=price-
cost)
a. What are the decision variables?
b. What is the objective function?

c. What are the constraints?

Answer 1

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Step 1: Evaluation of objective function and subjected constraints (Formation of LPP)

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Step 2: Evaluation of optimal solution using Graphical Method

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Answer 22

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Follow-up Question

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

e. 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?

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Answer 23

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Follow-up Question

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

e. 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?

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Answer 24

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Answer 25

Follow-up Question

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

e. 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?

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Answer 26

Follow-up Question

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

e. 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?

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Answer 27

Follow-up Question

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

e. 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?

Answer 28

Follow-up Question

Answer 29

Follow-up Question

Answer 30

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

e. 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?

Answer 31

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

e. 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?

Answer 32

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Answer 33

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Answer 34

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Answer 37

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

e. 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?

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Answer 38

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Follow-up Question

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

e. 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?

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Answer 39

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Answer 40

Follow-up Question

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

e. 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?

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Answer 41

Follow-up Question

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

e. 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?

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Answer 42

Follow-up Question

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

e. 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?

Answer 43

Follow-up Question

Answer 44

Follow-up Question

Answer 45

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

e. 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?

Answer 46

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

e. 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?