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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 L 1, 2, 5, 7 M 4, 5, 6 N 3,4,6 o 2, 4,5 P 1, 5, 6, 7 O 1, 3, 5 R 1, 5, 7 (a) Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas. (Let x, = {z cet unistation is located at area i for i = L, M, N, O, P, Q, R.) Min s.t. Area 1 Area 2 Area 3 Area 4 Area 5 Area 6 Area 7 (b) Solve the problem in part (a). What locations should be given substations? (Select all that apply.) Location L O Location M O Location N O Location o O Location P Location o Location R