(Requires the use of a spreadsheet or LINGO) USAirlines receives an average of 500 calls per hour fromcustomers who want to make a reservation (time betweencalls follows an exponential distribution). It takes an averageof 3 minutes to handle each call. Each customer who buys a ticket contributes $100 to US Airlines profit. It costs $15per hour to staff a telephone line. Any customer who receivesa busy signal will purchase a ticket on another airline. Howmany telephone lines should US Airlines have?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 37P
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(Requires the use of a spreadsheet or LINGO) US
Airlines receives an average of 500 calls per hour from
customers who want to make a reservation (time between
calls follows an exponential distribution). It takes an average
of 3 minutes to handle each call. Each customer who buys

a ticket contributes $100 to US Airlines profit. It costs $15
per hour to staff a telephone line. Any customer who receives
a busy signal will purchase a ticket on another airline. How
many telephone lines should US Airlines have?

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