hree refineries send a gasoline product to two distribution terminals through a pipeline network. Any demand that cannot be satisfied through the network is acquired from other sources. The pipeline network is served by three pumping stations, as shown in Figure 1. The product flows in the network in the direction shown by the arrows. The capacity of each pipe segment (shown directly on the arcs) is in million bbl per day. The maximum daily capacity of pump 6 in the network of Figure 1is limited to 50 million bbl per day. Determine the following: (Show your work) (a) The daily production at each refinery that matches the maximum capacity of the network. (b) The daily demand at each terminal that matches the maximum capacity of the network. (c) The daily capacity of each pump that matches the maximum capacity of the network.