Queuing Problem: Customers arrive to a service facility on average 24 minutes apart (exponentially distributed time between arrivals) The average service time is 22 minutes per customer (exponentially distributed service times) Single Server Waiting Line Model (M/M/1) Exponential time between arrivals, exponential service times Average number of arrivals per period Average number of periods between arrivals Average number of customers served per period, when the server is busy Average service time (number of periods) per customer Multiole Channel Waitina Line Model (M/M/s) For the scenario indicated on the Queuing Problem tab of the Exam 3 Question Parameters workbook, answer the following under the assumption that the facility is staffed with a single (one server: What is the average server utilization ? What is the average number of customers waiting in line? What is the average number of customers in the system? (Waiting in line + being served) What is the average time (in minutes) spent waiting in line? What is the average time (in minutes) spent in the system (Waiting in line + being served) Continuing from the previous problem, suppose later in the day the customer arrival rate (custome per hour) will be five times as many per hour vs. the original problem. We respond by using five servers instead of just one. Answer the following for this busier time period: What is the average server utilization ? What is the average number of customers waiting in line? What is the average number of customers in the system? (Waiting in line + being served) What is the average time (in minutes) spent waiting in line? What is the average time (in minutes) spent in the system (Waiting in line + being served)