Question: d. (3 points) The call center tracks data for all arrival and service times, and recognizes they follow an exponential distribution for both arrival and

d. (3 points) The call center tracks data for all arrival and service times, and recognizes they follow an exponential distribution for both arrival and service variance, normal for this type of operation. The call center typically employees 50 customer service technicians to answer calls. You are an operations consultant engaged to help analyze the call center queueing dynamics. How would you describe this system in Standard Queue Notation?

e. (3 points) You recognize the call center staff are highly trained, and on average resolve a call within 1.5 minutes. What is for this call center (with units)? f. (3 points) What is the utilization for this call center? g. (3 points) In your opinion as a consultant, is this utilization figure good or bad? Why? h. (4 points) The sales department for the call center secures a huge new client, and they estimate a call will now be received every 1 second (instead of every 2 seconds). Based on your calculation for current utilization, they propose hiring another 30 customer service technicians to handle the additional volume, assuming average service time (and thus ) will remain unchanged. You are asked to analyze their projections and advise if they are sufficient. What is your recommendation (this should be straight forward and supported with quantitative analysis)?

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