The figure for the Exercises shows the intersections of three one-way streets. To keep traffic moving, the number of cars per minute entering an intersection must equal the number exiting that intersection. For intersection I1, x + 10 cars enter and y + 14 cars exit per minute. Thus, x + 10 = y + 14. Solve, (a). Write an equation for intersection I2 that keeps traffic moving. (b). Write an equation for intersection I3 that keeps traffic moving. (c). Use Gaussian elimination to solve the system formed by the equation given prior to Exercise a. and the two equations that you obtained in Exercises a and b. (d). Use your ordered solution obtained in Exercise c to solve this exercise. If construction limits z to 4 cars per minute, how many cars per minute must pass between the other intersections to keep traffic flowing?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
