X2 is a new attraction at a theme park. It is one of the most technologically advanced rides. The trip consists of four ordered segments: a pre-ride message , a transport segment, a staged routing to vehicles, and finally the ride itself. The pre-ride message, shown to 24 guests at once, lasts for 2 minutes. The transport vehicle can hold 24 guests and its segment lasts for 4 minutes. Then, it takes 2 minutes to route guests to their vehicles, and this staging area can hold 32 guests at once. There are 10 vehicles in the attraction, and each vehicle holds 8 guests. Finally, the ride itself lasts 9 minutes, and it takes 1 minute extra for empty ride vehicles to return to pick up the next guests after the prior group exits. Because demand for the ride is high, the park has introduced an "Online Queue, through which only some of park guests will be selected, randomly, at the start of the day to ride. Each lucky guest is given a boarding group number, which essentially assigns an order that the selected park guests will ride the attraction, which each boarding group contains 8 guests.

1. At maximum performance, how many boarding groups can X2 accommodate each hour?

2.The park has just opened at 9:00 am, a park guest has been assigned boarding group number 139, and theyve just asked an employee when they can expect to be on the ride. What should the employee tell the guest?

3. On average the full attraction breaks down once every two hours and then takes one hour to repair. When the attraction is broken down, no one can ride it. How does this impact the attractions throughput of boarding groups per hour?

4.Taking this information into account, how should this change the answer the employee gave to the guest in part (2)?