AQA D1 2011 June — Question 5

Exam BoardAQA
ModuleD1 (Decision Mathematics 1)
Year2011
SessionJune
TopicRoute Inspection

5 A council is responsible for gritting main roads in a district. The network shows the main roads in the district. The number on each edge shows the length of the road, in kilometres. The gritter starts from the depot located at point \(A\), and must drive along all the roads at least once before returning to the depot.
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  1. Find the length of an optimal Chinese postman route around the main roads in the district, starting and finishing at \(A\).
  2. Zac, a supervisor, wishes to inspect all the roads. He leaves the depot, located at point \(A\), and drives along all the roads at least once before finishing at his home, located at point \(C\). Find the length of an optimal route for Zac.
  3. Liz, a reporter, intends to drive along all the roads at least once in order to report on driving conditions. She can start her journey at any point and can finish her journey at any point.
    1. Find the length of an optimal route for Liz.
    2. State the points from which Liz could start in order to achieve this optimal route.
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