An Internet$-$service provider company uses a fiber$-$optic network to transmit data between locations. Data are carried through fiber$-$optic cables and switching nodes. A portion of

the company's transmission network is shown here. The numbers above each arc show the capacity in gigabits of data per second that can be transmitted over that branch of the

network.

To keep up with the volume of information transmitted between origin and destination points, use the network to determine the maximum amount of data, in gigabits per second,

that may be sent from node $1$ to node $7.$

GB$/$s