Edexcel D1 2012 June — Question 5

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2012
SessionJune
TopicShortest Path

5. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4ad45e8f-f50a-4125-866b-a6951f85600f-6_785_1463_191_301} \captionsetup{labelformat=empty} \caption{Figure 4}
\end{figure} Figure 4 shows a network of roads. The number on each arc represents the length, in miles, of the corresponding road.
  1. Use Dijkstra's algorithm to find the shortest route from S to T . State your shortest route and its length.
    (6)
  2. Explain how you determined your shortest route from your labelled diagram.
    (2) Due to flooding, the roads in and out of D are closed.
  3. Find the shortest route from S to T avoiding D . State your shortest route and its length.
    (2)