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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?

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    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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