PROBLEM 13E

a. Find the general flow pattern of the network shown in the figure.

b. Assuming that the flow must be in the directions indicated, find the minimum flows in the branches denoted by

Solution Step 1:

Here in part (a) we have to find general flow pattern of the network given in the figure.

And in part (b) we have to find the minimum flows in the branches denoted by We get equations from each of the four nodes,plus one equation for the total.

Step 2:

Rearranging the equation into standard form we get

We then reduce the augmented matrix

Then reduced row echelon form is

the general solution is