A four-lane highway has a normal capacity of 1800 veh/hr/lane. In the southbound direction, a vehicle disablement on the roadway shoulder occurs at 4:30pm. Due to rubbernecking, the capacity in the southbound direction is reduced to 1200 veh/hr/lane at this time. At 4:45 pm, the disabled vehicle is removed from the shoulder and the capacity increases to 1500 veh/hr/lane. At 5:00pm the roadway capacity returns to its full value of 1800 veh/hr/lane. From 4:30pm until the queue clears the traffic flow is 1600 veh/hr/lane. Determine the following1. Average delay per vehicle2. Max queue length3. Average queue length in the southbound direction