$3.$ An Unsignalized Intersection is shown. Due to high peak$-$hour$-$volume, signalized control is warranted. The north$-$south direction is one way. It has four lanes. The rightmost and leftmost lanes operate in a shared $-$use fashion. The East$-$West traffic can go both ways. This is a small street with only one lane per direction and low traffic volumes $411$ lanes are $17$ ft wide

a$)$ What is the sum of the flow ratios for the critical lane groups?

b$)$ What is the total lost time for a signal cycle assuming $2$ seconds of clearance lost time and $2$ seconds of startup lost time per phase?

c$)$ Calculate an optimal signal timing $($rounded up to the nearest $5$ seconds$)$ using Webster's formula.

d$)$ Determine the green times allocation using $\backslash (\backslash$mathrm$\{$v$\}/\backslash$mathrm$\{$c$\}\backslash )$ equalization.

e$)$ Is this signal adequate for pedestrians?

A pedestrian count showed $7$ pedestrians crossing the EB and WB lanes on each side of the intersection and $10$ pedestrians crossing the NB and SB crosswalks on each side of the intersection.