(3) Although nuclear plant safety is at its highest levels, should there be an emergency, communities near nuclear plants depend on the local governments and plant operators for rapid and efcient evacuation of the public to safe areas. Duqe Power is interested in determining the optimal plan for the following network of roads and highways all heading away from the nuclear plant site, which is located at node 1. The directional arcs represent roads or highways and the circles (nodes) represent intersections. During the emergency period, people (in cars, buses, etc.) will only be allowed to travel in the direction of the arrows. The numbers next to the arcs represent the maximum amount of people that can travel between nodes, measured in thousands of people per hour. Nodes 6 and 7 are the nal destinations (safe areas). is: Max: The number of people transported in to zones 6 and 7 X13 =the number of people to move from zone 1 to zone 3 X12,X14, X27, X35, X36, X45, X47, X54, X56, X57 Max : X36 + X56 +X27+ X47 + X57 S.T. Zone 2 X12=X27 Zone 3 X13=X35+X36 Zone 4 X14+X54ZX45+X47 Zone 5 X35+X45=X54+X56+X57 X12 =0 X13,X12...X57=INT This is a MaxFlow problem. Please see the example in the \"Network Models\" folder