Question $(4)(3\mathrm{.}0$ points$)$

Vehicles arrive at an entrance to a recreational park. There is a single gate $($at which all vehicles

must stop$),$ where a park attendant distributes a free brochure. The park opens at $9$:$00$ am$.,$ at which

time vehicles begin to arrive at a rate of $500ve\frac{h}{h}r.$ After $30$ minutes, the arrival rate declines to

$150ve\frac{h}{h}r,$ and it continues at that level for the reminder of the day. If the time required to

distribute the brochure is $20$ seconds, and assuming $\frac{D}{D}\frac{?}{1}$ queuing, Draw $\frac{D}{D}\frac{?}{1}$ queuing diagram

and describe the operational characteristics of the queue