16. The Burroughs Garment Company manufactures men's shirts and women's blouses for
Walmark Discount Stores. Walmark will accept all the production supplied by Burroughs.
The production process includes cutting, sewing, and packaging. Burroughs employs 25
workers in the cutting department, 35 in the sewing department, and 5 in the packaging
department. The factory works one 8-hour shift, 5 days a week. The following table gives
the time requirements and profits per unit for the two garments:
Minutes per unit
Garment
Shirts
Blouses
Cutting
20
60
Sewing
70
60
Packaging
12
4
Unit profit ($)
8
12
Determine the optimal weekly production schedule for Burroughs.
17. A furniture company manufactures desks and chairs. The sawing department cuts the
lumber for both products, which is then sent to separate assembly departments. Assembled
items are sent for finishing to the painting department. The daily capacity of the
sawing department is 200 chairs or 80 desks. TIle chair assembly department can produce
120 chairs daily and the desk assembly department 60 desks daily. TIle paint department
has a daily capacity of either 150 chairs or 110 desks. Given that the profit per chair is $50
and that of a desk is $100, determine the optimal production mix for the company.
*18. An assembly line consisting of three consecutive stations produces two radio models: HiFi1
and HiFi-2. The following table provides the assembly times for the three workstations.
Minutes per unit
Workstation
1
2
3
HiFi-1
6
5
4
HiFi-2
4
5
6
2.
The daily maintenance for stations 1,2, and 3 consumes 10%,14%, and 12%, respectively,
of the maximum 480 minutes available for each station each day. Determine the optimal
product mix that will minimize the idle (or unused) times in the three workstations.
19. TORA Experiment. Enter the following LP intoTORA and select the graphic solution
mode to reveal the LP graphic screen.
Minimize z = 3xI + 8Xl
subject to
XI + Xl ~ 8
2xI - 3xz s 0
Xl + 2X2 S 30
3x - X2 ~ 0
Xl S 10
Xz ~ 9
Xl> X2 ~ 0
Next, on a sheet of paper, graph and scale the xI- and xraxes for the problem (you may
also click Print Graph on the top of the right window to obtain a ready-to-use scaled