A northbound $($NB$)$ freeway segment is on a $4\%$ upgrade from station $430+60$ to $397+60$ 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 $20\%$ HVs

$($and mix of $50\%$ single unit trucks$/50\%$ trailer$-$trucks$).$

Determine the density and LOS of the freeway segment.