An intersection has a $3-$timing stage signal with the movements allowed in each timing stage and corresponding analysis and saturation flow rates shown below. Consider that the total lost time is $12$ seconds and a critical $\frac{v}{c}$ ratio of $0\mathrm{.}85$ was desired. The cycle length is $60$ seconds. Calculate the delay and level of service for $($a$)$ the westbound left lane group, $($b$)$ the westbound approach and $($c$)$ the whole intersection.

$\backslash$table$[[$Timing Stage,$1,2,3],[$Allowed movements,NB L$,$SB L$,$NB T$/$R$,$SB T$/$R$,$EB L$,$WB L$,$EB T$/$R$,$WB T$/$R$],[$Analysis flow rate $($veh$/$h$),330,365,1125,1075,110,80,250,285],[$Saturation flow rate$($veh$/$h$),1700,1750,3400,3300,650,600,1750,1800],[$Effective green $($sec$),13\mathrm{.}9,22\mathrm{.}1,11\mathrm{.}3,]]$