Lp for minimum location distribution

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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 Location 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 and solve a 0-1 integer linear program model that can be used to find the minimum number of locations necessary to provide coverage to all areas. Clearly indicate your linear program model.

Reference no: EM1398343

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