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Assignment 1C

QUESTIONS

5

Question 1 [ 125 points] The infrastructure in much of Quebec has been suffering from under-investment for a number of decades. A particular problem is with the water systems, since when the pipes break, several streets can sometimes be closed at once. The small town where you live, St-Sulpice-de-Beatrice, has not escaped this problem. Your aunt works at city hall and obtained a small contract for you. You will work on the following situation.

The street plan and traffic flow (in cars/hour) into and out of downtown St-Sulpice- de-Beatrice are shown below.

50

Rue De Maisonneuve

40 '"

20 Rue Principale r: , r

50 2nd Ave fa3rd Ave1st Ave

Heavy rains recently overloaded the storm sewers and the resulting flood made three street sections impassable. The street closures were:

~ 2nd Avenue between Rue De Maisonneuve and Rue Principale

••.Rue Principale between 1st and 2nd Avenue

••.Rue De Maisonneuve between 2nd and 3rd Avenue

The public works manager wants a thorough analysis of the situation. He wishes to know:

a) What the traffic flow pattern is like before any street closures.

b) Whether the remaining network will be able to handle the traffic flow if the planned street closures are carried out.

c) What the traffic flow patterns in the city will be like if only Rue Principale is repaired and, in particular, how many cars per hour will travel along the newly repaired section of road and in which direction.

Reserved for Cegep@distance

201-10S-RE Linear Algebra and Vector Geometry