Problem $4(50$ pts$)$

At the beginning of an effective red, vehicles are arriving at an approach at the rate of $500ve\frac{h}{h}$ and $16$ vehicles are left in the queue from the previous cycle $($at the end of the previous cycle's effective green$).$ The saturation flow rate is $1800ve\frac{h}{h},$ the cycle length is $60$ seconds, and the effective green time is $40$ seconds. Determine the total vehicle delay on this approach until complete queue clearance. $($Assume D$/$D$/1$ queuing.$)$