Vehicles begin to arrive at a toll booth at 8:50 A.M. with an arrival rate of λ(t) = 4.1 + 0.01t [with t in minutes and λ(t) in vehicles per minute].
The toll booth opens at 9:00 A.M. and processes vehicles at a rate of 12 per minute throughout the day. Assuming D/D/1 queuing, when will the queue dissipate and what will be the total vehicle delay?