A $12-$km rapid transit line has the following section configurations and demand characteristics

during the afternoon peak hour:

The capacity of each train is $720$ spaces. The operating speed on the line is $40k\frac{m}{h}.$ Terminal times

cannot be shorter than $6$min at each end.

a$.$ Plot the passenger load diagram along the line and show the maximum load section.

b$.$ Using a maximum load factor of $75\%,$ policy headway of $12$min, and a peak hour coefficient

of $1\mathrm{.}2,$ determine the headway, fleet size, and terminal times.

c$.$ For the design of part b$,$ determine the final load factor, offered work, work utilization

coefficient, and schedule efficiency $"$