Question $(1)(3\mathrm{.}5$ points$)$

A northbound freeway segment is on a $4\%$ upgrade from station $430+60ft$ to station $397+60ft$ and has three $11ft-$wide lanes, a $5ft$ right shoulder and has a ramp density of $1$ per mile in the $3$ miles before and after the mid$-$point of this freeway segment. The peak$-$hour factor is $0\mathrm{.}9$ and northbound traffic during the peak hour is $2400$ vehicles, with $20\%$ heavy vehicles $($and a $50\%$ SUT $/50\%$ TT mix$).$ Determine the density and LOS of the freeway segment? $($Handwritten please no typed answers$)$