A city wants to locate 2 new firefighting ladder trucks to maximize the number of tall buildings which they can cover within a 3 minute response time. The city is divided into 4 zones. The fire chief wants to locate no more than one of the trucks in either Zone 1 or Zone 4. The number of tall buildings in each zone and the travel time between zones is listed below. to zones
No tall buildings from zones 1 2 3 4
50 1 0 2 1 6
90 2 2 0 4 5
60 3 1 4 0 1
70 4 6 5 1 0

Required:
a. Write the Mathematical ILP formulation for this problem.
b. Solve the problem using Solver for the optimal value objective function and the locations the fire trucks.