Problem
During the lunch rush, cars arrive at a Spendy's drive through at the rate of 50 per hour and the arrival rate is poisson-distributed. The pick-up window can handle an average of 60 orders per hour and the time to complete each order is exponentially distributed.
1. What is the utilization of the drive through during the lunch rush?
2. How many cars on average are in the drive through, including the car parked at the pick-up window during the lunch rush?
3. Describe the costs and benefits of one option to reduce the wait time in the drive through.