Determine how many buses needed to provide service on the following route with the indicated characteristics:
-Route length: 16 miles (one way)
-Headway: 15 minutes
-Average number of stops made during run, one direction: 22
-Terminal time at each end: 10 minutes
-Average route speed: 38 miles per hour
-Acceleration/Deceleration time: 15 seconds per stop
-Dwell time (average): 35 seconds
a) How many buses needed?
b) How much of a reduction in terminal time would be required to reduce the number of required buses by one?