Chapter 2—Introduction to Optimization and Linear Programming

Chapter 2—Introduction to Optimization and Linear Programming

Chapter 2—Introduction to Optimization and Linear Programming

PROJECT

63. Project 2.1

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Joey Koons runs a small custom computer parts company. As a
sideline he offers customized and pre-built computer system packages. In
preparation for the upcoming school year, he has decided to offer two custom
computer packages tailored for what he believes are current student needs.
System A provides a strong computing capability at a reasonable cost while
System B provides a much more powerful computing capability, but at a higher cost.
Joey has a fairly robust parts inventory but is concerned about his stock of
those components that are common to each proposed system. A portion of his
inventory, the item cost, and inventory level is provided in the table below.

Part

Type /
Cost

On
Hand

Type /
Cost

On
Hand

Type /
Cost

On
Hand

Type /
Cost

On
Hand

Processor

366 MHZ

40

500 MHZ

40

650 MHZ

40

700 MHZ

40

$175

$239

$500

$742

Memory

64 MB

40

96 MB

40

128 MB

15

256 MB

15

$95

$189

$250

$496

Hard

4 GB

10

6 GB

25

13 GB

35

20 GB

50

Drive

$89

$133

$196

$350

Monitor

14 ”

3

15 ”

65

17 ”

25

19 ”

10

$95

$160

$280

$480

Graphics
Card

Stock
$100

100

3-D
$250

15

CD-

24X

5

40X

25

72X

50

DVD

45

ROM

$30

$58

$125

$178

Sound

Stock

100

Sound II

50

Plat II

25

Card

$99

$150

$195

Speakers

Stock

75

60 W

75

120 W

25

$29

$69

$119

Modem

Stock
$99

125

Mouse

Stock
$39

125

Ergo
$69

35

Keyboard

Stock
$59

100

Ergo
$129

35

Game
Devices

Stock
$165

25

The requirements for each system are provided in the following
table:

System A

System B

Processor

366 MHZ

700 MHZ

Memory

64 MG

96 MG

Hard Drive

6 GB

20 GB

Monitor

15 ”

15 ”

Graphics Card

Stock

Stock

CD-ROM

40X

72X

Sound Card

Stock

Stock

Speakers

Stock

60W

Modem

Stock

Stock

Mouse

Stock

Stock

Keyboard

Stock

Stock

Each system requires assembly, testing and packaging. The
requirements per system built and resources available are summarized in the
table below.

System A

System B

Total Hours
Available

Assembly (hours)

2.25

2.50

200

Testing (hours)

1.25

2.00

150

Packaging (hours)

0.50

0.50

75

 

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