Consider a traffic circle modeled by the diagram below. Let each label ( F1, 12, 03, for instance) be the rate of cars traveling along the road segment per hour in the direction indicated. At each junction, the rate in must equal the rate out (assuming no traffic jams). This means that each junction gives an equation relating the rates. For instance, at the junction of I1, F4, and F, we must have that F4+1 = F). Find the other three equations given by the other junctions. Then, using the following known values F, = 350 1 = 200 12 = 125 13 = 100 02 = 150 03 = 150 set up a matrix-vector equation of the form TC * Flow = b that can be solved to find the column vector Flow=[ 0,; F2, F3; F4 ]-(You must call this vector Flow, the matrix must be called TC, and you must call your right-hand side vector b. Since there is an ambiguity in sign, I will tell you that TC(1,4), TC(2,1), TC(3,2), and TC(4,3) should be 1.) Consider a traffic circle modeled by the diagram below. Let each label ( F1, 12, 03, for instance) be the rate of cars traveling along the road segment per hour in the direction indicated. At each junction, the rate in must equal the rate out (assuming no traffic jams). This means that each junction gives an equation relating the rates. For instance, at the junction of I1, F4, and F, we must have that F4+1 = F). Find the other three equations given by the other junctions. Then, using the following known values F, = 350 1 = 200 12 = 125 13 = 100 02 = 150 03 = 150 set up a matrix-vector equation of the form TC * Flow = b that can be solved to find the column vector Flow=[ 0,; F2, F3; F4 ]-(You must call this vector Flow, the matrix must be called TC, and you must call your right-hand side vector b. Since there is an ambiguity in sign, I will tell you that TC(1,4), TC(2,1), TC(3,2), and TC(4,3) should be 1.)