Assignment:
Please show all work so it can be easily understood. This must be done by hand method.
The Borrough Garment manufactures men's shirts and women's blouses for WolMak. In an agreement, Wolmak will accept all production supplied by Borrough Garment.
|
Hours per unit
|
|
Garments
|
Cutting
|
Sewing
|
Packing
|
Profit($/unit)
|
|
Shirt
Blouses
|
20
40
|
60
40
|
12
4
|
80
100
|
The production process includes cutting, sewing, and packing. Borrough employs 25 workers in the cutting department, 31 in the sewing department, and 5 in the packing department. The factory works on 8-hour shift, 5 days a week. The following table gives the time requirements and profits per unit for the two garments.
a. What is the best weekly production schedule for Borrough? Formulate the LP and solve it by Simplex Method (no point will be given if solved by graphical method)
b. Is there any worker who will always be idling if the optimal schedule is used in practice? What is your suggestion to the human resource manager?
c. If you are the human resource manager, which department would you like to hire a new worker given the fact the company have extra money to hire only one more people. (Show your reason.)
d. If you are allowed to change the number of workers in the sewing department, what is the range of changes that you can make while keeping the optimal tableau obtained in (a) except its right hand side d.
e. If the profit of the men's shirt increases by $25 per unit, what is the optimal total profit?