$[20$ Points$]$ An intersection has a four$-$timing$-$stage $($phase$)$ signal with the

movements allowed in each timing stage and corresponding analysis and

saturation flow rates shown in the Table below. Calculate the minimum cycle

length and the effective green time for each timing stage $($balancing $\frac{v}{c}$ ratios for

the critical movements$).$ Assume the lost time is $4$ seconds per timing stage and a

critical intersection $\frac{v}{c}$ of $0\mathrm{.}95$ is desired.