A freeway with two lanes in one direction has a capacity of $2,100ve\frac{h}{h}\frac{?}{ln}$ under normal

operation $($i$.$e$.,$ under saturation$).$ One of these lanes is blocked for $15$ minutes on a particular

morning, beginning at $7$:$00$ AM$.$ The queue discharge capacity $($capacity under unstable

traffic conditions$)$ is only $1,950ve\frac{h}{h}\frac{r}{ln}.$ The arrival pattern of vehicles at this location is as

follows:

Conduct a deterministic queuing analysis to determine:

a$.$ The maximum size and length of the queue, assuming the average distance occupied

by vehicle is $50f\frac{t}{?}$ vehicle

b$.$ The time that the queue will fully dissipate