Edexcel D2 — Question 1

Exam BoardEdexcel
ModuleD2 (Decision Mathematics 2)
TopicPermutations & Arrangements
TypeAssignment/allocation matching problems

  1. This question should be answered on the sheet provided.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e892e87c-1c2d-4f97-ac23-41e38663d0f0-02_485_995_285_477} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} The network in Figure 1 shows the distances, in miles, between the five villages in which Sarah is planning to enquire about holiday work, with village \(A\) being Sarah's home village.
  1. Illustrate this situation as a complete network showing the shortest distances.
    (2 marks)
  2. Use the nearest neighbour algorithm, starting with \(A\), to find an upper bound to the length of a tour beginning and ending at \(A\).
    (2 marks)
  3. Interpret the tour found in part (b) in terms of the original network.
    (2 marks)