Question: first pic is the problem to answer the questions. 1 o,p McNeese is determining the staffing level for their credit union located within the university,
first pic is the problem to answer the questions. 1 o,p
McNeese is determining the staffing level for their credit union located within the university, and has recently hired two tellers (servers). The beginning of the fall semester is their busiest time, with incoming freshmen and transfer students opening accounts. On average, it takes a teller E[T]=10 minutes to successfully open an account (equivalent to a =6 per hour) and the average arrival rate has been =6 per hour. As always, we use the exponential distribution as a reasonable approximation for both the interarrival and service times. After meeting with McNeese's upperadministration, the manager of the credit union is considering two possible scenarios for the service layout: - Scenario 1: two M/M/1 (dedicated) queues that each serve /2 arrivals - Scenario 2: one M/M/2 (pooled) queue that serves all arrivals A queuing analysis was conducted on each scenario, and the results are as follows: Calculate the average time in line (minutes) for Scenario 2. (Hint: remember to use the correct arrival rate detailed in the second bullet point above.) a. 7.4 minutes b. 3.7 minutes le 10 minutes d. 5 minutes Clearmy choice The credit union is now considering adding a third teller (in the form of an M/M/3 ) with the goal of solving the following argument: argmins{2,3}$15s+$11E[Lq] Recall the term "argmin" or "argument of the minima" gives the solution s such that the function f(s)=$15s+$11E[Lq] attains its minimum value. Before solving this problem, what is the utilization for s=3 ? (Hint: remember that and were given in the opening Recall the term "arg min" or "argument of the minima" gives the solution s such that the function f(s)=$15s+$11E[Lq] attains its minimum value. Before solving this problem, what is the utilization for s=3 ? (Hint: remember that and were given in the opening scenario.) a. 0.33 b. 0.67 c. 0.4 d. 0.5 Clear my choice


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