You manage a hotel with one reception desk. On a typical day, you receive on average 8 customers per hour. It takes on average 6 minutes to check-in the customer. For the sake of this problem, we assume that checking-in ONLY happens daily between 2:00-5:00pm.
Assume that the inter-arrival times between customers are exponentially distributed, and that the time to check-in is also exponentially distributed.
a) What are the demand rate and service rate at the reception? What is the utilization of