Edexcel D1 2012 January — Question 4

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

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e02c4a9a-d2ab-489f-b838-9b4d902c4457-5_679_1420_228_312} \captionsetup{labelformat=empty} \caption{Figure 5}
\end{figure} Figure 5 models a network of roads. The number on each edge gives the time, in minutes, taken to travel along that road. Olivia 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 shortest route. On a particular day Olivia must include G in her route.
  2. Find a route of minimal time from A to J that includes G , and state its length