QUESTION 6. (a) [3 points] Write a system of linear equations describing the ow of the network depicted below. The letters A through E denote the nodes of the network, and the arrows denote the direction of ow. You do not need to solve this system. :3 J5|?! (b) [2 points] The reduced echelon form of the augmented matrix of the linear system in part (a) is 1 0 1 0 0 1 0 0 1 1 0 0 1 600 0 0 0 1 0 1 300 U 0 0 0 1 1 200 0 O 0 0 0 0 0 Write down the general ow solution of this system. What are the minimum and maximum possible values of 225? (Remember that a ow must be positive or zero)