Between 4:00PM and 6:00PM the vehicles arrive to the entranceramp of a regional toll road at a constant rate of 1740 vehiclesper hour. The toll plaza at the entrance ramp has five toll booths,which combined can process up to 34 vehicles per minute. At 4:30PMone of the toll booths is disabled due to electronics malfunction,which reduces the vehicle processing capacity of the toll plaza to27 vehicles per minute. At 5:00 PM the toll booth is repaired andthe toll plaza capacity is restored back to 34 vehicles per minute.Assuming that the vehicle arrivals and departures at the toll plazahave uniform deterministic distributions, determine the totalduration of the queue that had formed due to the toll boothclosure, in minutes.
