Problems 8-5, 8-13, 8-19, and 8-23
Assignment Outcomes
Discover how simplex methods are effective for management control.
Discuss why modeling is an effective method
8-5 The Kleenglass Corporation makes a dishwashe
that has excellent cleaning power. This dishwashe
uses less water than most competitors, and it is extremely
quiet. Orders have been received from several
etails stores for delivery at the end of each of
the next 3 months, as shown below:
Month XXXXXXXXXXNumber of
XXXXXXXXXXUnits
June XXXXXXXXXX
July XXXXXXXXXX
August XXXXXXXXXX
Due to limited capacity, only 200 of these can
e made each month on regular time, and the cost
is $300 each. However, an extra 15 units per month
can be produced if overtime is used, but the cost
goes up to $325 each. Also, if there are any dishwashers
produced in a month that are not sold in that
month, there is a $20 cost to ca
y this item to the
next month. Use linear programming to determine
how many units to produce in each month on regula
time and on overtime to minimize the total cost
while meeting the demands
8-13 (High-tech production problem) Quitmeyer Electronics
Incorporated manufactures the following
six microcomputer peripheral devices: internal modems,
external modems, graphics circuit boards,
CD drives, hard disk drives, and memory expansion
oards. Each of these technical products requires
time, in minutes, on three types of electronic testing
equipment, as shown in the table below.
The first two test devices are available 120
hours per week. The third (device 3) requires more
preventive maintenance and may be used only
100 hours each week. The market for all six compute
components is vast, and Quitmeyer Electronics
elieves that it can sell as many units of each
product as it can manufacture. The table that follows
summarizes the revenues and material costs for each
product:
Device XXXXXXXXXXRevenue Per Unit Sold($) Material Cost
XXXXXXXXXXPer Unit ($)
Internal modem 200 XXXXXXXXXX
External modem 120 XXXXXXXXXX
Graphics circuit board 180 XXXXXXXXXX
CD drive 130 XXXXXXXXXX
Hard disk drive 430 XXXXXXXXXX
Memory expansion 260 XXXXXXXXXX
oard
In addition, variable labor costs are $15 pe
hour for test device 1, $12 per hour for test device 2,
and $18 per hour for test device 3. Quitmeyer Electronics
wants to maximize its profits.
(a) Formulate this problem as an LP model.
(b) Solve the problem by computer. What is the best
product mix?
(c) What is the value of an additional minute of time
per week on test device 1? Test device 2? Test device
3? Should Quitmeyer Electronics add more
test device time? If so, on which equipment?
Data for Problem 8-13
InternalModem XXXXXXXXXXExternalModem XXXXXXXXXXCircuitBoard CD Drives HardDrives MemoryBoards
Test device 1 7 3 12 6 18 17
Test device 2 2 5 3 2 15 17
Test device 3 5 1 3 2 9 2