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A B C D E F G Template for M/M/s Finite Calling Population Model Data Results 0. 1111 11 (exponential parameter) 0.55280899 LL = 0.5

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A B C D E F G Template for M/M/s Finite Calling Population Model Data Results 0. 1111 11 (exponential parameter) 0.55280899 LL = 0.5 (mean service rate) L. = 0.00898876 S= 2 (# servers) N = 3 (size of population) W = 2.03305785 CO W. =| 0.03305785 P = 0.33333333 0.6 *-bar =| 0.27191011 0.5 n Pn 0.4 0 0.54606742 Probability 0.3 0.36404494 2 0.08089888 0.2 0.00898876 0.1 0 0 2 4 6 8 10 12 14 16 18 20 22 24 Number of Customers in SystemSally Gordon has just completed her MBA degree and is proud to have earned a promotion to Vice President for Customer Services at the First Bank of Seattle. One of her responsibilities is to manage how tellers provide services to customers, so she is taking a hard look at this area of the bank's operations. Customers needing teller service arrive randomly at a mean rate of 30 per hour. Customers wait in a single line and are served by the next available teller when they reach the front of the line. Each service takes a variable amount of time (assume an exponential distribution), but on average can be completed in 3 minutes. The tellers earn an average wage of $18 per hour. A. (30%). If two tellers are used, what will be the average waiting time for a customer before reaching a teller? On average, how many customers will be in the bank, including those currently being served? B. (30%). Sally feels that a significant cost is incurred by making a customer wait because of potential lost future business. Sally estimates the cost to be $0.50 for each minute a customer spends in the bank, counting both waiting time and service time. Given this cost, how many tellers should Sally employ

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