Problem $1).$ A freeway has the following characteristics:

Freeway segment: $70$ mph design, rural area with rolling terrain $($used mainly by commuters$),11$ foot lanes,

$4-$foot shoulders with obstructions on both sides, $4$ lanes $(2$ in each direction$).$

Traffic: $9\%$ trucks, $2\%$ recreational vehicles, $1\%$ buses, directional split of $\frac{60}{40},$ PHF $=0\mathrm{.}92,$ Peak hourly

$2-$way Volume $($both directions combined$)$ of $2,100.$

a$.$ At what Level of Service does this facility operate under in the peak hour?

b$.$ What is the capacity of the facility?

c$.$ At what level of service does an up$-$grade of $5$ percent that is $0\mathrm{.}4$ miles long operate?

d$.$ How many lanes are required to provide a $"C"$ level of service for a peak hour Volume of $1,500$ in one

$(1)$ direction?