Some Bus Depot has 236 buses. The fleets breaks down at a constant rate of 4 bus/day. Commissioner is trying to draw up a repair plan. The maintenance crew that comes in repairs bus at 8 buses a day and charges a fees of 3200 dollars to come in and 200 $ to work on each bus when they are here. Finally each broken bus costs the depot a 50 $ loss per day while sitting broken in garage. a) Trace the evolution over time the number of buses down during a cycle T of 24 days. indicate the maximum number of buses out of service and number of buses repaired during that cycle. Q is the number of buses that break down during a cycle and M is the maximum number of buses awaiting repair b)write the cycle time T versus Q(T as a function of Q) c)write M as a function of Q d)write the daily cost versus