Edexcel D1 2014 June — Question 3

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2014
SessionJune
TopicShortest Path

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{23cc3c59-35d8-4120-9965-952c0ced5b3d-4_605_1378_248_370} \captionsetup{labelformat=empty} \caption{Figure 3}
\end{figure} Figure 3 represents a network of roads. The number on each arc represents the time taken, in minutes, to traverse each road.
  1. Use Dijkstra's algorithm to find the quickest route from S to T. State your quickest route and the time taken.
    (6) It is now necessary to include E in the route.
  2. Determine the effect that this will have on the time taken for the journey. You must state your new quickest route and the time it takes.
    (3)