Given the following data $($all flows shown are veh$/$hr$)$ and assuming the warrants have been met for signalization:

i$.(15$ pt$\backslash ()\backslash )$ Propose a geometric design for this intersection that can carry the given flows, and provide a clean sketch of the final layout. Assume that all traffic will be serviced by a single traditional intersection $($i$.$e$.$ do not create multiple coordinated intersections, use median U$-$turn, etc.$).$ List all assumptions made that are not provided below, and cite all figures$/$tables$/$equations used; designs without justification will not be accepted.

ii$.(35$ pt$\backslash ()\backslash )$ Develop a pretimed signal timing plan for the intersection proposed in part a$.$ List all assumptions made that are not provided below, and cite all figures$/$tables$/$equations used. Be sure to include the following values in your final submission:

$-$ Ring $\backslash$& Barrier Diagram showing all phases and critical volumes

$-$ All converted tvu$/$hr flows, combined into appropriate lane groups

$-$ Yellow and all$-$red times for all phases

$-$ Lost times for all phases

$-$ Desired cycle length

$-$ Effective and actual green times for all phases

$-$ Any adjustments made for pedestrian impedance

Assumptions:

$-$ Typical pedestrian activity

$-12$ ft lane widths for all lanes

$-40$ mph for all approaches

$-$ Level grades

$-\backslash (\backslash$mathrm$\{$PHF$\}=0\mathrm{.}92\backslash )$

$-$ Target $\backslash (\backslash$mathrm$\{$v$\}/\backslash$mathrm$\{$c$\}=0\mathrm{.}90\backslash )$