An urban freeway is to be designed using the following information:

AADT$=52,000ve\frac{h}{?}$ day

$K($proportion of AADT occurring during the design hour$)$: $0\mathrm{.}11$

$D($proportion of design hour traffic traveling in the peak direction$)$: $0\mathrm{.}65$

Trucks: $8\%$ of design hour volume

$PHF=0\mathrm{.}95$

Lane width: $12ft$

Shoulder width: $10ft$

Terrain: rolling

Total ramp density: $1$ interchange every two miles; all interchanges are to be cloverleaf

interchanges $($i$.$e$.,$ with $4$ ramps in each direction$).$

Determine the number of lanes required to provide LOS C$.$ Clearly state assumptions used for

any values not given, and show all calculations required.