Intersections in England are often constructed as one-way "roundabouts," such as the one shown in the figure. Assume that traffic must travel in the directions shown. Find the general solution of the network flow. Find the smallest possible value for x6.

SOLUTIONStep 1Intersections in England are often constructed as one-way "roundabouts," such as the one shown in the figure. Assume that traffic must travel in the directions shown. Find the general solution of the network flow. Find the smallest possible value for x6. Step 2From the figure we can find that the intersection points(junctions) are A,B,C,D,E,F.We have to assume that the traffic law applies here ie “all traffic entering the intersection must leave the intersection”.This traffic flow leads to a system of linear equations.At the junction A:traffic in and the traffic out is Therefore by applying the traffic law ,we can say that …(1)At the junction B:traffic in and the traffic out is Therefore by applying the traffic law ,we can say that …(2)At the junction C:traffic in and the traffic out is Therefore by applying the traffic law ,we can say that …(3)At the junction D:traffic in and the traffic out is Therefore by applying the traffic law ,we can say that …(4)At the junction E:traffic in...