How many of each model should be produced to maximize profit. What is the maximum profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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A manufacturer of microcomputers produces four models: Portable, Student, Office, and Network. The profit per unit on each of these four models is $500, $350, $700, and $1000, respectively. The models require the labor and materials per unit shown below.

 

Portable

Student

Office

Network

Total

Labor (hrs/week)

5

5

6

8

4000

Chassis (unit/week)

1

1

1

1

400

Disk Drive (unit/week)

2

1

2

1

300

Hard Disk (unit/week)

0

0

0

1

20

Memory Chip (unit/week)

16

8

32

64

22,000

Circuit Bds. (unit/week)

1

1

2

4

10,000

How many of each model should be produced to maximize profit. What is the maximum profit?

 

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