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# Maximum number of telephones supported by an end office

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Consider a simple telephone network consisting of two end offices and one intermediate switch with a 1-MHz full-duplex trunk between each end office and the intermediate switch. The average telephone is used to make four calls per 8-hour workday, with a mean call duration of six minutes. Ten percent of the calls are long distance. What is the maximum number of telephones an end office can support?

https://brainmass.com/engineering/electrical-engineering/maximum-number-telephones-supported-end-office-234350

#### Solution Preview

A call is long distance if the caller and the receiver fall under different end offices. In this case the call goes like "telephone1 -> endoffice1 -> intermediate switch -> endoffice2 -> telephone2".

Considering that standard voice call is 4000 Hz, the maximum number of simultaneous long distance calls that can happen (via multiplexing, ...

#### Solution Summary

Stepwise calculations are substantiated with brief explanations.

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