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Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration together with the areas that can be covered from these locations are given in the following table: Potential Locations for Substations Areas Covered A 1, 5, 7 B 1, 2, 5, 7 C 1, 3, 5 D 2, 4, 5 E 3, 4, 6 F 4, 5, 6 G 1, 5, 6, 7 Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas.

Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration together with the areas that can be covered from these locations are given in the following table: Potential Locations for Substations Areas Covered A 1, 5, 7 B 1, 2, 5, 7 C 1, 3, 5 D 2, 4, 5 E 3, 4, 6 F 4, 5, 6 G 1, 5, 6, 7 Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration together with the areas that can be covered from these locations are given in the following table:

Potential Locations
for Substations		 Areas Covered
A 1, 5, 7
B 1, 2, 5, 7
C 1, 3, 5
D 2, 4, 5
E 3, 4, 6
F 4, 5, 6
G 1, 5, 6, 7

Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas.

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