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Traffic flow (linear algebra)

  • Thread starter morsel
  • Start date
  • #1
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Homework Statement


Problem 42 in this pdf file: http://math.rwinters.com/E21b/homework/HW1.pdf [Broken]



Homework Equations





The Attempt at a Solution


Starting from the section at the very bottom and going clockwise, let the sections be a, b, c, and d, respectively.

b + 300 = c + 400
c + d + 100 = 250
120 + 150 = a + d
a + 300 = b + 320

Solving these equations using elimination, I get:
a = 270 - t
b = 250 - t
c = 150 - t
d = t

How can I figure out the maximum and minimum traffic volume for each location?
 
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Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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The traffic flow numbers have to be nonnegative, right? Figure out the range of t that satisfies that restriction.
 

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