Ercise.
1. (road network) the figure below shows a network of one-way streets in central suva. on a
particular day the traffic flow was measured at each of the intersections. the numbers in the
figure represent the average numbers of vehicles per minute through the four intersections.
(a) set up and solve a system of linear equations to find x1, x2, x3 and x4.
(b) street ad is temporarily closed due to an accident. what will be the average traffic flow
in the other streets?
(c) what are the minimum and maximum possible flows on each street?
(d) if all the directions are reversed, how would the solutions change?
(e) to reduce congestion suva city council builds a bypass road joining intersections a and
c. solve the new system assuming a traffic flow of x5 on the new road in the direction
of d.
(10 + 5 + 5 + 5 + 10 marks