6. Consider the following figure. 100f 2001 150 200 fi 100 200 150 D E F...

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6. Consider the following figure. 100f 2001 150 200 fi 100 200 150 D E F 1001 100! 100f (a) Set up and solve a system of linear equations to find the possible flows in the network shown in the figure. (Use the parameters s and t as necessary.) (f,, f2, f3, fa, fg, fs, f,) = (b) Is it possible for f, = 130 and f = 140? [Answer this question first with reference to your solution in part (a) and then directly from the figure.] O It is possible for f, = 130 and f = 140. O It is not possible for f, = 130 and f, = 140. (c) If f, = 0, what will the range of flow be on each of the other branches? (Enter your answers using interval notation.) f, range of flow 2 range of flow 13 range of flow 's range of flow s range of flow , range of flow 6. Consider the following figure. 100f 2001 150 200 fi 100 200 150 D E F 1001 100! 100f (a) Set up and solve a system of linear equations to find the possible flows in the network shown in the figure. (Use the parameters s and t as necessary.) (f,, f2, f3, fa, fg, fs, f,) = (b) Is it possible for f, = 130 and f = 140? [Answer this question first with reference to your solution in part (a) and then directly from the figure.] O It is possible for f, = 130 and f = 140. O It is not possible for f, = 130 and f, = 140. (c) If f, = 0, what will the range of flow be on each of the other branches? (Enter your answers using interval notation.) f, range of flow 2 range of flow 13 range of flow 's range of flow s range of flow , range of flow