Kim Opim, an enthusiastic student, is on her flight over from Philadelphia (PHL) to Paris. Kim reflects upon how her educational experiences from her operations courses could help explain the long wait time that she experienced before she could enter the departure area of Terminal A at PHL. As an airline representative explained to Kim, there are four types of travelers in Terminal A: • Experienced short-distance (short-distance international travel destinations are Mexico and various islands in the Atlantic) travelers: these passengers check in online and do not speak with any agent nor do they take any time at the kiosks. • Experienced long-distance travelers: these passengers spend three minutes with an agent. • Inexperienced short-distance travelers: these passengers spend two minutes at a kiosk; however, they do not require the attention of an agent. • Inexperienced long-distance travelers: these passengers need to talk five minutes with an agent. After a passenger checks in online, or talks with an agent, or uses a kiosk, the passenger must pass through security, where they need 0.5 minute independent of their type. From historical data, the airport is able to estimate the arrival rates of the different customer types at Terminal A of Philadelphia International: • Experienced short-distance travelers: 100 per hour • Experienced long-distance travelers: 80 per hour • Inexperienced short-distance travelers: 80 per hour • Inexperienced long-distance travelers: 40 per hour At this terminal, there are four security check stations, six agents, and three electronic kiosks. Passengers arrive uniformly from 4 p.m. to 8 p.m., with the entire system empty prior to 4 p.m. (the "midafternoon lull") and no customers arrive after 8 p.m. All workers must stay on duty until the last passenger is entirely through the system (e.g., has passed through security). 1. what is the implied Utilization of Security _, Agents _, and Kisok_ 2. At what time has the last passenger gone through the system? Note: If passengers of one type have to wait for a resource, passengers that do not require service at the resource can pass by the waiting passengers 3.Kim, an experienced long-distance traveler, arrived at 6 p.m. at the airport and attempted to move through the check-in process as quickly as she could. How long did she have to wait before she was checked at security? 4.The airline considers showing an educational program that would provide information about the airport's check-in procedures. Passenger surveys indicate that 80 percent of the inexperienced passengers (short or long distance) would subsequently act as experienced passengers (i.e., the new arrival rates would be 164 experienced short-distance, 112 experienced long-distance, 16 inexperienced short-distance, and 8 inexperienced long-distance [passengers/hour]). At what time has the last passenger gone through the system? (Round the answer to the nearest minute.)