Using the Webster Model, determine the optimal cycle length for the intersection. Assume lost times equal to $3\mathrm{.}5sec$ phase, a yellow interval equal to $3$ seconds, and a saturation flow rate of $1800pc$ hr$/$lane for all lane types.

#$3.$ The intersection shown below has the following phasing scheme;

Phase $A$ is for the EB and WB left$-$turning movements;

Phase $B$ is for the EB and WB through and right$-$turning movements; $]$ Phase $C$ is for the NB and SB left, through and right movements.

The equivalent hourly flows at the intersection are as shown below:

$\backslash$table$[[$Eastbound$,$Westbound,Northbound,Southbound$],[$L$,$T$,$R$,$L$,$T$,$R$,$L$,$T$,$R$,$L$,$T$,$R$],[280,850,80,320,700,120,50,280,40,35,360,10]]$