Maurice works full-time (8 hours from 9am to 5pm) at a coffee shop in New Orleans. On average the shop serves 48 customers daily. The average time to serve each customer is 7.5 minutes. Assume there is no limits on the number of customers that can be waiting in the shop (sufficiently large waiting area) a. What is the throughput of this process (per hour) and the process utilization? In order to improve his process, Maurice enlists a friend to record arrival and service times. They find that the customers' daily inter-arrival time has a standard deviation of 10 minutes, and that the service time has a standard deviation of 3 minutes. b. Using this additional data, what is the waiting time (W) in minutes of customers in the shop? [Hint: Here you need to use the long formula. Make sure you detail your calculations for each parameter] c. Using Little's law, what is the average number of customers L in the shop? [Note: Average number of customers in the shop = Average number of customers waiting + Average number of customers being served.]