A cable company provides Internet access using a hybrid fiber and coaxial cable

Question

A cable company provides Internet access using a hybrid fiber and coaxial cable network to 5000 customers in a neighbohood. Fifty percent of customers subscribe to a plan advertising 20Mbps downstream, thirty percent subscribe to a plan advertising 50Mbps downstream, and twenty percent subscribe to a plan adverterising 100Mbps downstream. On each coaxial cable, the company allocates for downstream Internet spectrum with an aggregate capacity of 1Gbps. The peak usage period is 7pm-11pm each evening. On average, each customer is actively using the Internet for 30 minutes during this peak usage period. Determine the maximum number of customers attached to each coaxial cable.

Explanation / Answer

Answer:

here 50% of 5000= 2500 customers

30%=1500 customer

and 20%=1000 customer

2500 customer subscribed the plan of 20 Mbps downstream.

1500 customer subscribed the plan of 50 Mbps

1000 customers subscribed the plan 100 Mbps.

The peak time wher the subsciber utilizing the bandwidth to fullest is between 7 p.m to 11 pm (4 hours)

To count the maximum number of customers , suppose all the 50% customers subscribed has been given the connectivity through coaxial cable.

since the aggregate capacity of coaxial cable is 1 Gbps. therefore it can accomodate 51 (1024/20) customers in peak time.

Given that each customer is using the peak time = 30 minutes

hence at given 30 minutes 51 customer has been catered by coaxial by maximum in the peak time.

if we devide 4 hours (240 minutes ) by 30 minutes we find 8 block /chunk of time being utilized in peak time .

Therfore total number catered by coaxial in peak time would be 51*8=408

Maximum number of customers catered by coaxial in peak time would be 408.

thanks.

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