A network of irrigation canals is shown in the figure below with water flow measured in litres per second: A 70 B 200 f4 D f5 80 50 (a) Set up and solve a system of linear equations to find the possible flows f1,f2, f3, f4 and f5. (b) Assume all the flows to be non-negative. If the flow f5 is regulated to be 30 L/s, then determine the minimum and maximum flows along each of the other canals.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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A network of irrigation canals is shown in the figure below with water flow measured in litres per
second:
A
70
B
200
f4
D
f5
80
50
(a) Set up and solve a system of linear equations to find the possible flows f1,f2, f3, f4 and f5.
(b) Assume all the flows to be non-negative. If the flow f5 is regulated to be 30 L/s, then determine
the minimum and maximum flows along each of the other canals.
Transcribed Image Text:A network of irrigation canals is shown in the figure below with water flow measured in litres per second: A 70 B 200 f4 D f5 80 50 (a) Set up and solve a system of linear equations to find the possible flows f1,f2, f3, f4 and f5. (b) Assume all the flows to be non-negative. If the flow f5 is regulated to be 30 L/s, then determine the minimum and maximum flows along each of the other canals.
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