Below is a network of one-way streets and traffic flow rates in vehicles per hour in each section of the roads. For instance, traffic comes into this area on Huntington Ave. at 400 vehicles per hour and leaves the area on Huntington Ave. at 500 vehicles per hour. The flow rate of traffic on McKean Ave. between Nash St. and Burke St. is represented by the variable x6. Nash St. Burke St. Martin St. 300 100 100 21 2 400 500 Huntington Ave. 23 24 25 26 27 400 500 McKean Ave. 200 200 300 1. Write a system of equations that models the traffic flow in this area. 2. Convert the equations in into an augmented matrix. 3. Use Computer Algebra System such Wolfram Alpha, Symbolab, or something similar to write the augmented matrix in reduced row-echelon form. 4. Write the complete solution set of the system of equations. 5. What is the smallest possible flow of traffic on McKean Ave. between Burke St. and Martin St.? Explain. 6. What is the largest possible flow of traffic on Nash St. between Huntington Ave. and McKean Ave.? Explain. 7. Name all sections of roads and all combinations of sections of roads that can be closed (i.e. have a traffic flow rate = 0) Below is a network of one-way streets and traffic flow rates in vehicles per hour in each section of the roads. For instance, traffic comes into this area on Huntington Ave. at 400 vehicles per hour and leaves the area on Huntington Ave. at 500 vehicles per hour. The flow rate of traffic on McKean Ave. between Nash St. and Burke St. is represented by the variable x6. Nash St. Burke St. Martin St. 300 100 100 21 2 400 500 Huntington Ave. 23 24 25 26 27 400 500 McKean Ave. 200 200 300 1. Write a system of equations that models the traffic flow in this area. 2. Convert the equations in into an augmented matrix. 3. Use Computer Algebra System such Wolfram Alpha, Symbolab, or something similar to write the augmented matrix in reduced row-echelon form. 4. Write the complete solution set of the system of equations. 5. What is the smallest possible flow of traffic on McKean Ave. between Burke St. and Martin St.? Explain. 6. What is the largest possible flow of traffic on Nash St. between Huntington Ave. and McKean Ave.? Explain. 7. Name all sections of roads and all combinations of sections of roads that can be closed (i.e. have a traffic flow rate = 0)