Edexcel D1 2024 June — Question 3

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2024
SessionJune
TopicShortest Path

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ba9337bf-7a3c-49aa-b395-dd7818cf1d13-04_994_1616_242_223} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} Figure 2 models a network of tracks between nine ranger stations, A, B, C, D, E, F, G, H and J, in a forest. The number on each edge gives the time, in minutes, to travel along the corresponding track. The forest ranger wishes to travel from A to J as quickly as possible.
  1. Use Dijkstra's algorithm to find the shortest time needed to travel from A to J. State the quickest route.
    (6)
  2. Hence determine the weight of the minimum spanning tree for the network given in Figure 2. Give a reason for your answer. You do not need to find the minimum spanning tree.