A right$-$turn movement at a signalised intersection has a maximum arrival rate of $300$ vehicle per hour and the saturation $($i$.$e$.$ maximum$)$ flow of this right turn movement is designed to be $600$ vehicles per hour. Assume D$/$D$/1$ queuing model and the cycle starts with red for $60$ seconds. The green time is designed so that there are only $2$ vehicles in the queue at the end of the cycle.

Which option below best represents the green time? a$.$

$38$ seconds

b$.$

$30$ seconds

c$.$

$32$ seconds

d$.$

$36$ seconds

e$.$

$34$ seconds