Edexcel D1 2015 June — Question 3

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2015
SessionJune
TopicShortest Path

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ba22b22e-c0d5-438d-821b-88619eacdb5d-4_901_894_228_612} \captionsetup{labelformat=empty} \caption{Figure 3}
\end{figure} Figure 3 represents a network of roads. The number on each arc is the length, in km , of the corresponding road.
  1. Use Dijkstra's algorithm to find the shortest route from A to J. State the shortest route and its length.
  2. Explain how you determined the shortest route from your labelled diagram.
  3. Find the shortest route from A to J via E and state its length.