Question: Big Pine Computing produces two computers, Latitude and Longitude, and wants to plan production for next month to maximize profits. Producing these computers requires wiring,

Big Pine Computing produces two computers, Latitude and Longitude, and wants to plan production for next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but has a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month.

Maximum

Assembly

Inspection

Computer

Profit per

demand for

Wiring Hours

Hours

Hours

Model

Model ($)

product

Required

Required

Required

Latitude

30

80

.4

.5

.2

Longitude

40

90

.5

.4

.3

Hours Available

50

50

22

Let X1 = Number of Latitude computers to produce

X2 = Number of Longitude computers to produce

MAX: 30X1 + 40X2

Subject to: .4X1 + .5X2 50 (wiring hours)

.5X1 + .4X2 50 (assembly hours)

.2X1 + .2X2 22 (inspection hours)

X1 80 (Latitude computers demand)

X2 90 (Longitude computers demand)

X1, X2 0

A

B

C

D

E

1

Big Pine Computing

2

3

Latitude

Longitude

4

Number to make:

Total Profit:

5

Unit profit:

30

40

6

7

Constraints:

Used

Available

8

Wiring

0.4

0.5

50

9

Assembly

0.5

0.4

50

10

Inspection

0.2

0.3

22

11

Latitude Demand

1

80

12

Longitude Demand

1

90

In the above spreadsheet, which cells should be the constraint cells?

E8:E12

B4:C4

D8:D12

E5

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