6. A city has constructed a piping system to route water from a lake to the city reservoir. The piping system is modeled in the network model shown below with the lake represented by node 1 and the reservoir, node 6. 3 4 8 5 N The numbers next to the arcs indicate the maximum flow capacity (in 100,000 gallons/day) in that section of the pipeline. For example, at most 300,000 gallons/day can be sent from node 2 to node 4. The system is now underutilized and the city planners are interested in its overall capacity. The city now sends 100,000 gallons/day along each of the paths 1-2-4-6 and 1-3-5-6. What is the maximum capacity of the network for shipping water from the lake to the reservoir