MATLAB

Please do not use any tools that are not included in the basic student MATLAB package

Engineers often analyze traffic flow patterns in urban areas to determine settings for traffic control devices such as traffic lights The figure below shows the flow of downtown traffic in a certain city during the rush hours on a typical weekday. The arrows indicate the direction of traffic flow on each one-way road, and the average number of vehicles per hour entering and leaving each intersection appears beside each road. 5th Avenue and 6th Avenue can each handle up to 2000 vehicles per hour without causing congestion, whereas the maximum capacity of both 4th Street and 5th Street is 1000 vehicles per hour. The flow of traffic is controlled by traffic lights installed at each of the four intersections 4th St 5th St 500 300 1200 800 5th Ave X) 1300 1400 6th Ave 700 400 a) Arrange this information into a system of equations describing the traffic flow in terms of xi, X2, X3, X4. Note that you should have 4 equations (one for each intersection), and that not all xi terms will appear in each equation (or in other words, the coefficients will be zero for some x terms in some equations) Engineers often analyze traffic flow patterns in urban areas to determine settings for traffic control devices such as traffic lights The figure below shows the flow of downtown traffic in a certain city during the rush hours on a typical weekday. The arrows indicate the direction of traffic flow on each one-way road, and the average number of vehicles per hour entering and leaving each intersection appears beside each road. 5th Avenue and 6th Avenue can each handle up to 2000 vehicles per hour without causing congestion, whereas the maximum capacity of both 4th Street and 5th Street is 1000 vehicles per hour. The flow of traffic is controlled by traffic lights installed at each of the four intersections 4th St 5th St 500 300 1200 800 5th Ave X) 1300 1400 6th Ave 700 400 a) Arrange this information into a system of equations describing the traffic flow in terms of xi, X2, X3, X4. Note that you should have 4 equations (one for each intersection), and that not all xi terms will appear in each equation (or in other words, the coefficients will be zero for some x terms in some equations)