$(25$ pts$).$ Compute the $25-$year design ESALs for traffic on a $3-$lane flexible pavement $($one lane in each direction, with a central turning lane, which can be neglected for the purposes of this problem$)$ for a road running in front of a large retirement community under construction with the following traffic $($terminal serviceability index$=2\mathrm{.}5,$ SN$=4\mathrm{.}3)$:

AADT $=20,000($plus additional trash trucks$)$

$2-$axle passenger cars $(3,000$ lb$/$axle$)=99\%$ of AADT

$($Growth for passenger cars $=3\%$ per year$)$

$3-$axle delivery trucks $(10$ kip single $+35$ kip tandem $+35$ kip tandem$)=1\%$ of AADT

$($Growth for $3-$axle trucks $=2\mathrm{.}5\%$ per year$)$

Trash trucks, $2-$axles $(24,000$ lb$/$axle$,$ single axles$)=10$ passes over design lane$/$week

$($Growth for trash trucks $=0\%$ per year, no growth$)$