Chapter 6.1, Problem LC

(a)

To determine

To calculate: A set of four equations for the four intersections that contain 6 variables for the traffic flow illustrated as:

(b)

To determine

Whether the following set of equation obtained in part (a) have a unique solution:

$\begin{array}{c}b+f-a=500\\ c+f-d=500\\ e+b-a=500\\ e+c-d=500\end{array}$

(c)

To determine

To calculate: The values of b, d and e if the values of a, c and f are 300, 400 and 200 cars per hour, respectively, for the traffic flow illustrated as:

(d)

To determine

To calculate: The effect on the traffic if the number of cars that enter the intersection A are increased to 800 cars per hour for the traffic flow illustrated as: