1. The figure below shows a network of one-way streets with
traffic flowing in the directions indicated. The flow rates along
the streets are measured as the average number of vehicles
per hour.
D) Solve an appropriate system of linear equations to
determine the unknown flow rates.
ii) Is it possible to close the road from A to B for
construction and keep traffic flowing on other streets?
Justify your answer.
Suppose all the streets (from A to B, B to C etc.) are
bidirectional, leaving the other constants as it is along
with the direction, how would you formulate the
system of equations. (2 + 1 + 2 = 5 Marks)
300
200
B X2
100
C 600
500
75
D450
400
350
600
400
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Answer:
Step-by-step explanation:
There are multiple solution Possible
x1 = 200
x2 = 600
x3 = 600
x4 = 600
x5 = 100
x6 = 150
x7 = 150
x1 = 200
x2 = 550
x3 = 600
x4 = 550
x5 = 50
x6 = 150
x7 = 100
and so on
x1 = 400
x2 = 600
x3 = 400
x4 = 400
x5 = 100
x6 = 350
x7 = 150
Infinite solution exists
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