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Answer:
The maximum number of telephones an end office can support is 51200.
Step-by-step explanation:
It is provided that each telephone user makes 4 calls. The average duration of a call is 6 minutes.
Total times of the 4 calls = 4 × 6 = 24 minutes.
It is also provided that 10% of the calls are long-distance.
The time duration for long distance calls is, 10% × 24 = 2.4 minutes.
Assume that each user has a 4kHz connection.
The number of calls that can be made is: [tex]\frac{1MHz}{4kHz}=256[/tex]
It is also provided that the working hour per day is 8.
Then the maximum number of telephones an end office can support is:
Max. Number of phone calls = [tex]\frac{256\times8\times60}{2.4}= 51200[/tex]
Thus, the maximum number of telephones an end office can support is 51200.
The maximum number of telephones an end office can support is 40,000.
Conversion
It is the act of changing from one form of system to another form of system.
Given
The average telephone is used to make four calls per 8-hour workday.
The end office is connected by a 1-MHz full-duplex trunk.
The mean call duration is 6 min.
Ten percent of the calls are long-distance.
How to calculate the maximum number of telephones an end office can support?
Total time of 4 call = 4 x 6 = 24 minutes
10% of calls are long-distance.
The time duration of long distance call = 0.10 x 24 = 2.4 minutes.
Let each user has a 5 kHz connection.
The call that can be made is [tex]\rm \dfrac{1MHz}{5kHz} = 200[/tex].
It is provided that the 8 hours per day. Then the maximum number of telephones an end office can support will be
[tex]\rm = \dfrac{200*8*60}{2.4} = 40,000[/tex]
Thus, the maximum number of telephones an end office can support is 40,000.
More about the conversion link is given below.
https://brainly.com/question/4736731
