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.
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| 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 |
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|
| 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
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| A | B | C | D | E |
| 1 |
| Big Pine Computing |
| ||
| 2 |
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|
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| 3 |
| Latitude | Longitude |
|
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| 4 | Number to make: |
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|
| Total Profit: |
| 5 | Unit profit: | 30 | 40 |
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| 6 |
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| 7 | Constraints: |
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| 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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