2. 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 A Areas Covered B C D E 1,5,7 1,2,5,7 1,3,5 2,4,5 3,4,6 4,5,6 1,5,6,7 F G a. Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas. b. Solve the problem in part (a).