$($PART I: $50$ points$)$ Use the AASHTO Flexible pavement design procedure to design a four$-$lane

pavement for a $25-$year design period, with the following information:

Layer $1$ HMAC Resilient Modulus $400,000$ psi, Poisson's Ratio $0\mathrm{.}25$

Layer $2$ Base Rock Resilient Modulus $40,000$ psi, Poisson's Ratio $0\mathrm{.}35$

Layer $3$ Subbase Gravel Resilient Modulus $25,000$ psi Poisson's Ratio $0\mathrm{.}40$

Subgrade Sand Resilient Modulus $5500$ psi Poisson's Ratio $0\mathrm{.}40$

Traffic: Initial two$-$way annual average daily truck traffic AADTT