(10 pts) The southbound approach of a signalized intersection carries a flow of 1000 veh/h/lane at a velocity of 50 mi/h. The duration of the red signal indication for this approach is 15 sec. If the saturation flow is 2000 veh/h/lane with a density of 75 veh/mi/lane, the jam density is 150 veh/mi/lane, determine the following: (a) The length of the queue at the end of the red phase (b) The maximum queue length (c) The time it takes for the queue to dissipate after the end of the red indication