Bonus (5pts) Part 1: Consider an arterial with multiple signalized intersections. Under the previous signal timing plan that does not provide transit signal priority (TSP), the average delay per vehicle during the peak period is 6 min for cars and 10 min for buses. After implementing TSP, the average delay per vehicle during the peak period is 7 min for cars and 7 min for buses. There are 3000 cars and 50 buses. Assume each car carries only one person and each bus carries 30 people. Compute the total person delay before and after implementing TSP. Explain how TSP improved arterial performance despite that the passenger car delay increased after implementing TSP. Part 2: Consider a freeway with multiple lanes. Without implementing HOV lanes, the average delay per vehicle during the peak period is 6 min for single occupant vehicles and the same 6 min for carpoolers with 2 people per vehicle. After implementing HOV lanes, the average delay per vehicle during the peak period is 7 min for single occupant vehicles and only 4 min for carpoolers with 2 people per vehicle. There are 3000 single occupant vehicles and 1000 carpoolers (vehicles with 2 occupants or persons). Compute the total person delay before and after implementing HOV lanes. Explain how HOV lanes improved freeway performance despite that single occupancy vehicles experienced additional delay after the implementation of HOV lanes