A pavement section is designed for a reliability of $90\%$ with a standard deviation of $0\mathrm{.}3$ and an initial PSI of $4\mathrm{.}3$ and a TSI of $2\mathrm{.}8.$ The pavement section has a $4$ in hot$-$mix asphaltic concrete surface course, an $4$ in Portland cement$/$aggregate base and a drainage coefficient of $1\mathrm{.}0,$ and an $8$ in crushed stone subbase and a drainage coefficient of $1\mathrm{.}0.$ The resilient modulus for the subgrade is $15$kip$\frac{s}{i}{n}^2.$ According to the AASHTO Guide for Design of Pavement Structures the design equivalent single$-$axel load $($ESAL$)$ is most nearly:

a$.2\mathrm{.}0{10}^6$

b$.7\mathrm{.}0{10}^6$

c$.12\mathrm{.}0{10}^6$

d$.17\mathrm{.}0{10}^6$