A pizza restaurant has two phone lines for taking delivery orders. An average of 40 people per hour try to call the restaurant, and the average length of a phone call is 1 minute. If a person attempts to call when both lines are busy, he/she hangs up and is lost to the system. Assume that the time between people attempting to call and service times are exponential. a. What fraction of the time will both lines be free? What fraction of the time will both lines be busy? What fraction of the time will exactly one line be free? b. On the average, how many lines will be busy? c. On the average, how many callers will hang up each hour?
A pizza restaurant has two phone lines for taking delivery orders. An average of 40 people per hour try to call the restaurant, and the average length of a phone call is 1 minute. If a person attempts to call when both lines are busy, he/she hangs up and is lost to the system. Assume that the time between people attempting to call and service times are exponential. a. What fraction of the time will both lines be free? What fraction of the time will both lines be busy? What fraction of the time will exactly one line be free? b. On the average, how many lines will be busy? c. On the average, how many callers will hang up each hour?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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Transcribed Image Text:A pizza restaurant has two phone lines for taking delivery orders. An average of 40 people per hour try to
call the restaurant, and the average length of a phone call is 1 minute. If a person attempts to call when both
lines are busy, he/she hangs up and is lost to the system. Assume that the time between people attempting
to call and service times are exponential.
a. What fraction of the time will both lines be free? What fraction of the time will both lines be busy? What
fraction of the time will exactly one line be free?
b. On the average, how many lines will be busy?
c. On the average, how many callers will hang up each hour?
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