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

(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?