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Assignment:
Ashley's department store in Kansas City maintains a successful catalog sales department in which two clerks take orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party that has waited for the longest is transferred and answered first. Calls come in at a rate of about 10 per hour. The clerk can take an order in an average of 5 minutes. Calls follow a Poisson distribution, and service times tend to be exponential.
1. How many callers, on average, are waiting to place an order under the current system?
2. What is the average time (minutes) that catalog customers must wait before their calls are transferred to the order clerk?
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