(a) Formulate this as an LP model problem.
Quitmeyer Elec-
tronics Incorporated manufactures the following
six microcomputer peripheral devices: internal mo-
dems, external modems, graphics circuit boards,
CD drives, hard disk drives, and memory expansion
boards. Each of these technical products requires
time, in minutes, on three types of electronic testing
devices, as shown in the table on this page.
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 computer
components is vast, and Quitmeyer Electronics be-
lieves that it can sell as many units of each product
as it can manufacture. The table that follows summa-
rizes the revenue and material cost for each product:
DEVICE
REVENUE PER
UNIT SOLD ($)
MATERIAL COST
PER UNIT ($)
Internal modem 200 35
External modem 120 25
Graphics circuit board 180 40
CD drive 130 45
Hard disk drive 430 170
Memory expansion
board
260 60
In addition, variable labor costs are $15 per
hour for test device 1, $12 per hour for test device 2,
and $18 per hour for test device 3. Quitmeyer Elec-
tronics wants to maximize its profits.
(a) Formulate this as an LP model problem.
(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 one
or more test devices to make more time avail-
able? If so, on which device(s) should it add?
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