Edexcel D1 2011 January — Question 1

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2011
SessionJanuary
TopicCombinations & Selection

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{0360f78d-e18c-4c47-a2ec-ddd705a4175f-2_750_1285_388_390} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a network of roads between eight villages, \(\mathrm { A } , \mathrm { B } , \mathrm { C } , \mathrm { D } , \mathrm { E } , \mathrm { F } , \mathrm { G }\) and H . The number on each arc gives the length, in miles, of the corresponding road.
  1. Use Dijkstra's algorithm to find the shortest distance from A to H .
    (5)
  2. State your shortest route.
    (1)
  3. Write down the shortest route from H to C and state its length.
    (2)