Suppose that a city is considering the relocation of eight fire stations to improve fire protection in several regions. The following table shows the potential locations for fire stations along with the regions that can be covered from these locations are shown in the following table. The city wants to find the minimum number of locations necessary to provide coverage to all regions. Potential Locations for Stations Regions Potentail Locations for Stations Regions Covered A 1,2,5,7 B 1,3,5 C 2,4,6 D 1,3,5,7 E 4,5,6,7, F 2,3,7 G 1,3,4,6 H 1,3,4,6,7
Suppose that a city is considering the relocation of eight fire stations to improve fire protection in several regions. The following table shows the potential locations for fire stations along with the regions that can be covered from these locations are shown in the following table. The city wants to find the minimum number of locations necessary to provide coverage to all regions. Potential Locations for Stations Regions Potentail Locations for Stations Regions Covered A 1,2,5,7 B 1,3,5 C 2,4,6 D 1,3,5,7 E 4,5,6,7, F 2,3,7 G 1,3,4,6 H 1,3,4,6,7
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question
Suppose that a city is considering the relocation of eight fire stations to improve fire protection in
several regions. The following table shows the potential locations for fire stations along with the
regions that can be covered from these locations are shown in the following table. The city wants to
find the minimum number of locations necessary to provide coverage to all regions.
Potential Locations for Stations Regions
| Potentail Locations for Stations | Regions Covered |
| A | 1,2,5,7 |
| B | 1,3,5 |
| C | 2,4,6 |
| D | 1,3,5,7 |
| E | 4,5,6,7, |
| F | 2,3,7 |
| G | 1,3,4,6 |
| H | 1,3,4,6,7 |
a. Formulate an optimization model for this problem algebraically.
b. Formulate and solve an optimization model for this problem on a spreadsheet
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