Q$2.(60$ pts$)$ A multilane highway section has been investigated for present level of service evaluation. According to the obtained results, some improvement $($enlargement$)$ alternatives will also be investigated. The following data has been obtained from the site:

Four lane $(2*2)$

Heavy vehicle appearance is negligible; $-$ Commuter users Peak$-$hour factor $0\mathrm{.}80$; Peak$-$hour directional distribution $($D$)$: $0\mathrm{.}65$

Free$-$Flow Speed $($Measured$)$: $97$ km$/$hr$.($Hint: No need for calculation$)$

AADT: $35000$ veh. $/$day $($DDHV$=$V$=$K $*$D$*$AADT$)$

Expected annual traffic increase for AADT $(\%7)$

Referring to the $30$th design hourly volume criteria $($K$=\%12)$ for receiving present hourly peak volume, decide;

a$)$ What is the present LOS? $($vp$=$ V$/$PHF$*$N$*$fhv$*$fp $)($D$=$vp$/$FFS$)$

$)$ How many years later, the road section reaches capacity? $($Assume all traffic b characteristics, PHV$,$ fp$,$ fav, remain unchanged$)($Hint: First find V$,$ volume at capacity conditions