A network of one-way streets is shown in the accompanying diagram. The rate of flow of cars into intersection A is 500 cars per hour, and 400 and 100 cars per hour emerge from B and C, respectively. 500 A f2 fi fs fa fo B 400 100 b) Deduce the set of linear equations from this flow problem. c) Apply the Gaussian Elimination technique to transform the system into a Row- Echelon form and determine all the possible flows along each street. d) From the results in 1(b), determine all the possible flows along each street. Are all the solutions acceptable in real situations? If not, state the constraint(s) that might be imposed to ensure that all the solutions are realistic.