Answered: Assembly (hrs) Finishing Cost ($) Price…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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?

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

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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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