Queuing Exercise Lab Exercise#3SCM 300The purpose of this exercise is to discuss the situation facing a manager and help herdetermine how many servers to use and what thecharacteristics of the system will be.Endeavor Communications, a long distance provider, is reevaluating its accountmanagement department for handling customer service questions and requests. Duringthe 2:00 pm to 10:00pm time period, past data show that calls to the account managementdepartment occur at an average rate of one call every6.5minutes. A study of past servicetimes indicate that the average time to process acaller's question/request is4.3minutes.Like other phone systems, when a call comes in and all the servers are busy, the callerhears a message telling them to hold until the next server is available.Top management at Endeavor Communications understands that the staffing decisioninvolves the analysis of trade-offs. Increasingthe number of servers will reduce the waitingtimes and increase the probability of immediate service at a higher cost with more idle timefor the servers.Management has decided that theGOALof the account management department is toimmediately answer and service at least 90% of the incoming calls during the busiest timeperiod of 2:00pmto 10:00pm. They have asked you to determine the staffing level that willhelp them meet this goal. Also, theyd like you to provide your own recommendations.

Answer Please:

6.What is the probability the system is empty in a single-server model?

7.What is the probability of exactly 2 customersin the system in a single-servermodel?

8.What is the probability of exactly 5 customers in the system in a single-servermodel?

9.On average, how many customers are in the system in a single server model?

Corresponding Exel File:

Use cells B2 and B3 to calculate Lambda and Mu. (Example: =7/45) Use cells B2 and B3 to calculate Lambda and Mu. (Example: =7/45)