The following intersection is to be analyzed using the HCM $2010$ methodology. All

computations are to be done by hand, but you can use software to check your solutions $($if

you wish$-$this is not required$).$

$500$

$$

$200$

$\_(1)^($N$)$

The following addition information is available: PHF$=0\mathrm{.}92$; all vehicles arrival uniformly;

$12\%$ heavy vehicles on all approaches; no pedestrians.

a$.$ Determine the existing v$//$c ratio for each lane group in the intersection. $[20$ points$]$

b$.$ Determine the control delay and corresponding LOS for each lane group. $[10$ points$]$

c$.$ Determine the control delay and corresponding LOS for each approach. $[5$ points$]$