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.**Description of the Diagram:**The diagram illustrates a network graph with nodes and directed arcs. The nodes are numbered from 1 to 7, and the arcs indicate possible data transmission paths between these nodes. Each arc is labeled with a number indicating its capacity in gigabits per second (GB/s). Here is a representation of the nodes and arcs:- Node 1 is connected to Node 2 (3 GB/s), Node 3 (1 GB/s), and Node 4 (3 GB/s).- Node 2 is connected to Node 3 (2 GB/s) and Node 6 (3 GB/s).- Node 3 is connected to Node 4 (1 GB/s) and Node 5 (2 GB/s).- Node 4 is connected to Node 7 (2 GB/s).- Node 5 is connected to Node 4 (2 GB/s), Node 6 (1 GB/s), and Node 7 (5 GB/s).- Node 6 is connected to Node 7 (3 GB/s).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

Linear programming is a mathematical technique that is also used in operations management…

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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. GR