Mid-West Publishing Company publishes college textbooks. The company operates an 800-telephone number whereby potential adopters can ask questions about forthcoming texts, request examination copies of texts, and place orders. Currently, two extension lines are used, with two representatives handling the telephone inquiries. Calls occurring when both extension lines are being used receive a busy signal; no waiting is allowed. Each representative can accommodate an average of 12 calls per hour. The arrival rate is 20 calls per hour. a. What percentage of calls receive a busy signal for the current telephone system with two extension lines? b. What percentage of calls are handled by the representative if the company has a telephone system with three extension lines? c. What is the average number of extension lines that will be busy if the company wants to handle 90% of the calls immediately? and What percentage of calls receive a busy signal if the company has additional two extension lines?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Mid-West Publishing Company publishes college textbooks. The company operates an 800-telephone number whereby potential adopters can ask questions about forthcoming texts, request examination copies of texts, and place orders. Currently, two extension lines are used, with two representatives handling the telephone inquiries. Calls occurring when both extension lines are being used receive a busy signal; no waiting is allowed. Each representative can accommodate an average of 12 calls per hour. The arrival rate is 20 calls per hour.

 

a. What percentage of calls receive a busy signal for the current telephone system with two extension lines?

b. What percentage of calls are handled by the representative if the company has a telephone system with three extension lines?

c. What is the average number of extension lines that will be busy if the company wants to handle 90% of the calls immediately? and  What percentage of calls receive a busy signal if the company has additional two extension lines?

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