Average number of callers waiting to place an order
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Ashley's Department Store in Kansas City maintains a successful catalog sales department in which a clerk takes 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 the longest is transferred and answered first. Calls come in at a rate of about 12 per hour. The clerk is capable of taking an order in a average of 4 minutes. Calls tend to follow a Poisson distribution, and service tend to be exponential. The clerk is paid $10 per hour, but because of lost goodwill and sales, Ashley's loses about $50 per hour of costumer time spend waiting for the clerk to take an order.
A) What is the average time that a catalog customers must wait before their calls are transferred to the order clerk?
B) What is the average number of callers waiting to place an order?
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Average number of callers waiting to place an order are clearly ascertained within this posting.
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There is only one clerk. The calls tend ...
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