5.12 A toll booth on a turnpike is open from 8:00 A. M. to 12 midnight. Vehicles start arriving at 7:45 A. M. at a uniform deterministic rate of six per minute until 8:15 A. M. and from then on at two per minute. If vehicles are processed at a uniform deterministic rate of six per minute, determine when the queue will dissipate, the total delay, the maximum queue length (in vehicles), the longest vehicle delay under FIFO, and the longest vehicle delay under LIFO.