Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration tagether with the areas that can be covered from these locations are given in the following table: Potential Locations for Areas Covered 1, 5,6, .5,7 1,2,5,7 1,3,5 2,4,5 3, 4, 6 4,5,6 (a) Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas. If your answer is zero enter "D and if the constant is "1 it must be entered in the box 1 if a substation is located at site! Let xi- t otherwise If your answer is zero enter "0" and if the constant is "1" it must be entered in the box 1 if a substation is located at site i 0therwise Let x = Min XA + Xc+ XE+ XD+ s.t (area 1 covered) (area 2 covered) (area 3 covered) (area 4 covered) (area 5 covered) (area 6 covered) (area 7 covered) Kg 1 -Select your answer- XG |-Select your answer- XG | -Select your answer- XG | -Select your answer- Kg 1 -Select your answer- Kg 1 -Select your answer- Kg 1-Select your answer- XD+ XD + XD+ XD+ XD+ XD+ XD+ XA XA + XA + XA + XA + XB+ xc XE XE XE XE XB XB Xc+ XB XA + XE b) Solve the problem in part (a). Choose the correct optimal solution. If your answer is zero enter "O" and if the constant is "1" it must be entered in the box Locations for Substations Select? Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration tagether with the areas that can be covered from these locations are given in the following table: Potential Locations for Areas Covered 1, 5,6, .5,7 1,2,5,7 1,3,5 2,4,5 3, 4, 6 4,5,6 (a) Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas. If your answer is zero enter "D and if the constant is "1 it must be entered in the box 1 if a substation is located at site! Let xi- t otherwise If your answer is zero enter "0" and if the constant is "1" it must be entered in the box 1 if a substation is located at site i 0therwise Let x = Min XA + Xc+ XE+ XD+ s.t (area 1 covered) (area 2 covered) (area 3 covered) (area 4 covered) (area 5 covered) (area 6 covered) (area 7 covered) Kg 1 -Select your answer- XG |-Select your answer- XG | -Select your answer- XG | -Select your answer- Kg 1 -Select your answer- Kg 1 -Select your answer- Kg 1-Select your answer- XD+ XD + XD+ XD+ XD+ XD+ XD+ XA XA + XA + XA + XA + XB+ xc XE XE XE XE XB XB Xc+ XB XA + XE b) Solve the problem in part (a). Choose the correct optimal solution. If your answer is zero enter "O" and if the constant is "1" it must be entered in the box Locations for Substations Select