$2.(5$ points$)$ A ferry line connects the Little Island $($L$)$ to the Big Island $($B$).$

a$.$ The ferry trip from L to B takes an hour. When a ferry arrives at B$,$ it stops for $20$ minutes $($terminal

time$).$ The return trip $($trip from B to L$)$ also takes an hour. What is the ferry cycle time $($in minutes$)?$

b$.$ If there are two ferry trips departing from L during an hour, what is the offered capacity of the ferry

line? Assume that the ferry capacity is $300$ passengers.

c$.$ It is projected that for a future year there will be a demand of $800$ passengers per hour $().$

Assuming a load factor $()$ of $0\mathrm{.}8,$ a ferry capacity of $300$ passengers, and the cycle time computed

in part a$,$ determine what should be the headway and the number of ferries in the future year.