Q$6)(20$ points$)$ Six$-$lane rural interstate highway has a truck count of $578$ per day$($including two axle, four tire panel and pickup trucks$)$ and a annual growth rate of $4\%.$ The HMA will be laid on cement treated base course, and a sand$-$gravel subbase. The quality of drainage is considered fair. However, due to large amount of precipitation, more than $25\%$ of time the pavement will be exposed to moisture levels roadbed compressive strength of cement treated base $($a$)7$ days $=500$ psi and resilient modulus of HMA $=430,000.$ Use the minimum thickness for HMA table below to determine the thickness of base and subbase course required. The analysis period $=20$ years. $($Use R$=90\%,S0=0\mathrm{.}35$ and $\frac{\frac{?}{{?}_{\frac{?}{?}}}}{P}SI=2).$

$\backslash$table$[[\backslash$table$[[$Traffic$],[$ESAL$]],\backslash$table$[[$Min$.$ Thickness$],[$for HMA$],[($inches$)]]],[$Less than $50,000,1$