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(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,

(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 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 100hours each week. The market for all six computer components is vast, and Quitmeyer Electronics believes that it can sell as many units of each product as it can manufacture. The table that follows summarizes the revenue and material cost for each product:

Data for Problem 8.13

INTERNAL MODEM

EXTERNAL MODEM

CIRCUIT BOARD

CD DRIVE

HARD DRIVE

MEMORY BOARD

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

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 Electronics wants to maximize its profits.

  1. Formulate this as an LP model problem.
  2. Solve the problem by computer. What is the best product mix?
  3. 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 available? If so, on which device(s) should it add?

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