A cable company provides Internet access using a hybrid fiber and coaxial cable network to 5000 customers in a neighborhood.
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 advertising 100Mbps downstream.
On each coaxial cable, the company allocates spectrum for downstream Internet with an aggregate capacity of 1Gbps.
The peak usage period is 7 pm-11 pm each evening. On average, each customer is actively using the Internet for 30 minutes during this peak usage period.
Draw a picture showing the network topology, and determine the maximum number of customers attached to each coaxial cable.