Quantitative Analysis in Business

Question No.4: [L05) [2 Marks) The local Division of Motor Vehicles (DMV) is concerned with its waiting line system. Currently, the DMV uses a single server, when processing license renewals, based on historical evidence, the average number of cu The local Division of Motor Vehicles (DMV) is concerned with its waiting line system. Currently, the DMV uses a single-server, single-line, single-phase system when processing license renewals. Based on historical evidence, the average number of customers arriving per hour is 15 and is described by a Poisson distribution. The service rate is 21 customers per hour with the service times following an exponential distribution. The customers are patient and come from an infinite population. The manager of the DMV would like you to calculate the operational characteristics of the waiting line system. (a) What is the average system utilization? (b) What is the average number of customers in the system? (c) What is the average number of customers waiting in line? (d) What is the average time a customer spends in the system? (e) What is the average time a customer spends waiting in line