d) Ignoring other incidental delays, on average, how many minutes is a passenger required to spend at the airport before they are able to go on to their flight departure gate? a) On average, how many passengers are tied up using the automated kiosks to obtain a boarding pass? b) On average, how many passengers are tied up in Security? c) Ignoring other incidental delays, what is the average time a passenger needing to check luggage will spend before going thru Security (in minutes)? [Q3: Little's Law] At the domestic terminal for United Airlines, all passengers must check in, obtain a boarding pass, and go thru TSA Security screening before they can go to their flight departure gate. Currently, 1000 people per hour arrive at the United domestic terminal. [Advance Check-In] Forty percent of passengers check in online and obtain a boarding pass in advance. They can go directly to Security when they arrive at the airport, but twenty-five percent of them still have luggage to check, and must first stop at the luggage counters before going through Security. The rest go straight to Security. [Airport Check-In] Sixty percent of passengers get their boarding pass at the airport. Half of them stop first at a cluster of automated kiosks to obtain their boarding passes. It takes an average of 6 minutes get a pass, including wait time plus using the kiosks. After printing their pass, they can go directly to Security, but one third of them still have luggage to check, and must first stop at the luggage counters before going through Security. The remaining passengers go directly into the single line at the luggage counters before going to Security to check luggage and confirm they have a boarding pass, or to obtain one along with their luggage receipts. On average, 80 passengers are waiting or being serviced at the luggage counters. [Security] Once they have a boarding pass, all passengers must go through Security. 20% of the passengers have TSA Trusted Traveler status; they zip thru Security (with much less hassel) in an average of only 4 minutes. The remaining passengers go through Security in an average of 10 minutes. HINT: Draw a process flow diagram for this process. e) The United Operations team wants to improve the traveler's experience by adding the capability to check luggage at the kiosks as well, by yourself. You get a boarding pass, luggage tags and receipts, and can then just drop your luggage on a conveyor as you head for Security. In tests, with this additional capability in place, there are only 50 people, on average, tied up in the luggage check process. All of the kiosk users self-serve their luggage check in; that is, NO kiosk users go to luggage check after getting their passes and luggage tags from the kiosk. But the average time at the kiosks rose from 6 minutes to 7 minutes. Under this new arrangement, what now would be the total number of minutes that a passenger would expect to spend at United before moving on to their flight departure gate