Given MR$-40,000$ psi, ESAL$-10\text{'},$ and untreated aggregate base of $10$ in thick, the thickness of HMA in a full$-$depth pavement is:

$($a$)14\mathrm{.}5$ in

$($b$)8\mathrm{.}8in$

$($c$)13\mathrm{.}5$ in

$($d$)9\mathrm{.}2in$