Problem $1$: A three$-$phase signal has protected left turns in the east$-$west directions and permitted left turns in the north$-$south directions. The first phase is the exclusive left turn phase.

a$.$ Assuming the EB through movement has the highest volume. Label all movements and show the ring diagram for the signal.

b$.$ If all the yellows and all$-$reds are $4$ seconds and $2$ second each, then what is the total lost time per cycle, to be used in the design?

c$.$ If the cycle length is $90$ seconds, the saturation headway is $2$ s$,$ the desired v$/$c ratio is $0\mathrm{.}95,$ and the PHF is $0\mathrm{.}85,$ what is the total critical lane volumes?

d$.$ How many numbers were added together to give the total critical per$-$lane volumes?

e$.$ Let us say that the EB Left Turn, WB Thru and NB $($T$+$LT$)$ show the critical volumes. If they are all equal, then what green times will you have in the design for each critical phase?