$5\mathrm{.}16$ At $8$:$00$ A$.$M$.$ there are $10$ vehicles in a queue at a toll booth and vehicles are arriving at a rate of $\backslash$lambda $($t$)=6\mathrm{.}9-0\mathrm{.}2$t $.$ Beginning at $8$ A$.$M$.,$ vehicles are being serviced at a rate of and $\backslash$mu $($t$)$ are in vehicles per minute and t is in minutes after $8$:$00$ A$.$M$.].$ Assuming $($D$)/($D$)/1$ queuing, what is the maximum queue length, and what would the total delay be from $8$:$00$ A$.$M$.$ until the queue clears? Draw D$/$D$/1$