Question: Problem 3. A single-server waiting line system has an arrival pattern characterized by an exponential distribution with 3 customers per hour. The average service time


Problem 3. A single-server waiting line system has an arrival pattern characterized by an exponential distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the exponential distribution. Suppose the manager wants to reduce the waiting time in the line to 0.1 hour. How fast should the server work? A. 7.18 customers per hour. B. 2.00 customers per hour. C. 5.35 customers per hour. D. 4.22 customers per hour. If the server's wage is $20 per hour and a delayed customer costs $5 per hour, what is the system total hourly cost? A. \$21.50 per hour. B. \$22.40 per hour. C. \$24.50 per hour. D. \$23.50 per hour
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