An approach at a signalized intersection has a saturation flow of $2500$ vph and the flow of the

approach traffic is $500$ vph $.$ If the cycle time is $80$ second with a $25$ second effective green

determine the following values using $D/$D$/1$ queuing:

a$)$ Verify that the capacity is greater than the arrival rate

b$)$ Time to queue clearance after the start of the effective green

c$)$ Proportion of the cycle with a queue

d$)$ Proportion of vehicles stopped

e$)$ Maximum number of vehicles in the queue

f$)$ Total vehicle delay per cycle

g$)$ Average delay per vehicle

h$)$ Maximum delay of any vehicle