Suppose that of the 40,000 fans who attend the game, 75% take the metro when they will leave the stadium. Suppose also that these begin to come out of the stadium and head to Addison Station at 4 p.m. (end of round 7) at the rate of 100 per minute. 5 p.m. (end of match), that rate climbs to 175 per minute. The rest of the supporters smoke a bite and a glass, before going to the subway at the rate of 135 per minute from 6 p.m. To take the aerial metro, you must first enter the station and pass the turnstiles. Without an additional attendant, the turnstiles let customers through at the rate of 60 per minute. Each additional attendant increases this rate by 40 per minute. Once on the platform, the metro trains pass regularly and pick up passengers at the rate 120 per minute. Assume that only supporters of the match take the subway to Addison after 4 p.m. and that no supporter renounces the metro due to the long queues that form at the entrance from the resort Q1: Suppose the CTA staffs the Addison station with 2 additional attendants starting at 5 p.m. Estimate the exact time (time and minute) at which the last partisan will have boarded his train. Q2: If we charged a "social" waiting cost of 5 ($0.05) per minute to each fan who waits before boarding their train, estimate the total waiting cost. calculate the total number of "fansminutes" of waiting (the area under the curve of the inventory profile, on the next slide) and multiply by 0.05.