(a) Set up and solve a system of linear equations to find the possible flows in the network shown in Figure 2 21 (b) Is it possible for f 1 100 and f 6 150 (Answer this question first with reference to your solution in part (a) and then directly from Figure 2 21 ) (c) If f 4 0, what will the range ...

a By applying the conservation of flow rule to each node we obtain f 3 200 f 1 100 f 1 150 f 2 f 4 f ...

(a) Set up and solve a system of linear equations to find the possible flows in the...

Question:

(a) Set up and solve a system of linear equations to find the possible flows in the network shown in Figure 2.21.
(b) Is it possible for f₁= 100 and f₆= 150? (Answer this question first with reference to your solution in part (a) and then directly from Figure 2.21.)
(c) If f₄= 0, what will the range of flow be on each of the other branches?

1001 200 150 200 100 f3 f4 f5 f6 f7 200 150 D 1001 100f 100 Figure 2.21