$(10$ pts$)$ A six$-$lane divided highway serves $70,000$ vehicles per day. It has $12ft$ lanes and $6-$ft shoulders on the right side. The highway contains regular users and is on level terrain with a peak hour factor of $0\mathrm{.}92.$ There are $12$ percent of large trucks. The posted speed limit is $60mph$ and there are six access points per mile. During the peak period, $50\%$ of all the vehicles on the highway travel in the direction of interest. If you design this facility to accommodate the ${30}^{th}$ highest annual hourly volume, what would be the level of service during the peak hour,

$($a$)(2$ pts$)$ Calculate the analysis flow rate.

$($b$)(2$ pts$)$ Calculate the free$-$flow speed.

$($c$)(3$ pts$)$ What is the highway density?

$($d$)(3$ pts$)$ Determine the level of service.