Problem $4\mathrm{.}2(10$ Points$)$

A northbound $($NB$)$ freeway segment is on a $\backslash (4\backslash \%\backslash )$ upgrade from station $\backslash (430+60\backslash )$ to $\backslash (397+60\backslash )$ and has the following properties:

$-$ three $11-$ft wide lanes,

$-$ a $5-$ft right shoulder, and

$-$ a ramp density of $1$ per mile in the $3$ miles before and after the mid$-$point of freeway segment.

The peak$-$hour factor is $0\mathrm{.}9$ and northbound traffic during the peak hour is $2,400$ vehicles, with $\backslash (20\backslash \%\backslash )$ HVs $($and mix of $50\backslash \%$ single unit trucks$/50\backslash \%$ trailer$-$trucks$).$

Determine the density and LOS of the freeway segment.