0 0 Q 1-5. A dentist works from 9 am to noon, offering 1-hour appointments on the hour for routine cleanings (the first patient arrives exactly at 9 am, the second

patient arrives exactly at 10 am...). The dentist's schedule is always full, so she does not allow walk-ins. If she is free, the dentist begins the appointment when the patient arrives. The dentist finishes with each patient within 45 minutes, and patients arrive at the beginning of their appointment. Question 1 How long on average do patients wait (in minutes)? 0 Question 2 The dentist hires an operations management specialist to analyze her appointment system. This analyst identifies that the time it takes the dentist to complete a cleaning is exponentially distributed with an average service time of 45 min. How long, on average, do patients wait (in minutes)? 135 2 pts 2 pts/nQuestion 3 Why is a patient's expected wait time different in the first versus the second scenario? O It isn't. ● Because the dentist cannot fully balance the wait time caused by longer-than-average appointments with shorter-than-average service times. O Because variability in arrival times causes earlier-than-average arrivals to wait. O Because uncertainty in service times causes the dentist's utilization to increase. O None of the above Question 4 Question 5 1 pts An operations management analyst has found that the time it takes the dentist to complete a cleaning has an exponential distribution with an average service time of 45 min. The operations management analyst also considers the possibility of removing appointments and having walk-ins only. The analyst estimates the arrival process would be distributed exponentially with an average inter-arrival time of 60 minutes. How long would patients expect to wait in this new system (minutes)? How many people should the receptionist expect to find in the waiting room in the scenario described in Q4? 2 pts 2 pts