On a given roadway, arrival rate is given as a $($t$)=2\mathrm{.}2+0\mathrm{.}17.$t $-0\mathrm{.}0032.$ t$?$ and the departure rate is

given as d$($t$)=$

$1\mathrm{.}2+0\mathrm{.}07.$t$,$ where t is minutes, and a $($t$)$ and d$($t$)$ are in vehicles per minute. Determine

when the queue disappears, the maximum queue and the total vehicle delay.