Using the AASHTO rigid design procedure, design a pavement for a provincial road with an expected design ESAL of $20$ x $106.$ The pavement structure is to consist of Portland cement concrete with an elastic modulus of $5\mathrm{.}0$ x $106$ psi and a modulus of rupture of $550$ psi, and a $12$ in$.$ thick unbounded granular material as subbase. The pavement is to be plain jointed and jointed reinforced concrete with tied P$.$C$.$C$.$ shoulder and having load transfer devices. The climate consists of a wet season $($November$-$April$)$ and a dry season $($May$-$October$).$ Freezing of the subbase and subgrade is considered negligible. The elastic modulus of the subbase is $20,000$ psi during the dry season and $15,000$ psi during the wet season. The elastic modulus of the subgrade is $6,000$ psi during the dry season and $3,500$ psi during the wet season. The subgrade depth to the bedrock is $5$ft$.$ It is estimated that it will take a day for water to drain from the pavement and that the pavement will be saturated about $20$ percent of the time. Assume that a reliability level of about $95\%$ is required and that the initial serviceability index is $4\mathrm{.}0$ and the final serviceability index is $2\mathrm{.}5.$ Assume S$0=0\mathrm{.}35.$