Consider a computer network consisting of six computers, A through F$.$ The computers are connected according to the following links, with maximum data rates $($in Mbps$)$ shown: AC $(10),$ BC $(7),$ BF $(3),$ CD $(8),$ DE $(12),$ DF $(4).$ For example, AC $(10)$ means that computers A and $C$ are connected with a link that supports data rates up to $10Mbps.$ Suppose that A and B need to send data to E and F$,$ respectively $($no other communication is taking place in the network$).$ Any path through the given links above may be used as long as the path has no loop. Also, multiple paths $($say from A to E$)$ can be used simultaneously. Link bandwidth can be shared as long as the total data rate through the link does not exceed its maximum $($the total data rate through a link is the sum of the data rates of communication in both directions$).$ For every Mbps of data rate the network can support for