An intersection where driving is on the right$-$hand side. with traffic volume Geometric characteristics as shown in the figure. Given that the traffic volume shown in the figure has units of PCU$/$h and various lengths have units of feet. Consider how to determine the timing of traffic lights $($Phase plan$)$ in order to have suitable for Physical characteristics and maximum traffic volume and design the light signal by calculating the length around signal light and the green light duration of each light signal $(25$ points$)$

PHF $=0\mathrm{.}92$

Target $\frac{v}{c}$ ratio $=0\mathrm{.}90$

Low pedestrian activity

Level grade

Approach speed:

$40m\frac{i}{h}$ north$-$south

$45m\frac{i}{h}$ east$-$west

Sidewalk width $=10$ feet

Car length $=20$ feet