You graduate from Georgia Tech, and your first job as a consultant is to assist a large$-$budget hotel chain in designing a computer$-$based self$-$check$-$in kiosk. As your first step, you examine the existing employee$-$based check$-$in process.

In the existing employee$-$based check$-$in process, an employee at the check$-$in desk is trained to handle an incoming flow of twelve guests per hour. The employee spends, on average, four minutes checking in a guest. There is significant variability in guest inter$-$arrival times, and you estimate that the coefficient of variation of the guest arrival process is one. Conversely, employees are very well trained, and the coefficient of variation of their check$-$in time is $0\mathrm{.}2.$ Since this is a budget hotel chain, there is only one employee at the check$-$in counter at any given time.