Please provide formulas from solver as well.

Semolina County includes six rural communities that need emergency ambulance services. The ambulance stations may be placed in any or all of the six towns. Due to the proximity of some of the communities to each other, however, a single station may serve more than one community. The stipulation is that no community is more than 15 minutes of driving time away from one or more of the ambulance stations. The inter-community driving times in minutes) are shown in the table below. 2 3 1 0 23 14 N 1 2 3 23 22 0 m 14 olms 4 18 13 60 0 55 17 0 24 24 0 13 60 22 19 21 20 5 6 1032 21 19 20 55 17 0 12 12 0 4 18 10 5 6 32 (a) Formulate (clearly and precisely define all decision variables, then write all the relevant components of the model in algebraic format) an appropriate mathematical optimization model for determining the minimum number of ambulance stations and their locations. (b) Solve your model in part (a) via Excel/Solver, clearly interpreting the Solver output. (c) If only two ambulance stations can be authorized, due to budgetary limitations, where should they be located? Briefly explain your reason(s)