Vehicles begin to arrive at a toll booth at 7:50 A.M. with an arrival rate of...

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Vehicles begin to arrive at a toll booth at 7:50 A.M. with an arrival rate of X(t)=5.2-0.01t (with t in minutes after 7:50 A.M. and A in vehicles per minute). The toll booth opens at 8:00 A.M. and serves vehicles at a rate of μ(t) =3.3+ 2.4t (with t in minutes after 8:00 A.M. and in vehicles per minute). Once the service rate reaches 10 veh/min, it stays at that level for the rest of the day. If queuing is D/D/1, when will the queue that formed at 7:50 A.M. be cleared? Vehicles begin to arrive at a toll booth at 7:50 A.M. with an arrival rate of X(t)=5.2-0.01t (with t in minutes after 7:50 A.M. and A in vehicles per minute). The toll booth opens at 8:00 A.M. and serves vehicles at a rate of μ(t) =3.3+ 2.4t (with t in minutes after 8:00 A.M. and in vehicles per minute). Once the service rate reaches 10 veh/min, it stays at that level for the rest of the day. If queuing is D/D/1, when will the queue that formed at 7:50 A.M. be cleared?