Edexcel D1 2003 November — Question 1

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2003
SessionNovember
TopicRoute Inspection

1. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 1} \includegraphics[alt={},max width=\textwidth]{75ea31c7-11e7-4dd9-9312-4cf32bba622b-02_992_1292_477_342}
\end{figure} A local council is responsible for maintaining pavements in a district. The roads for which it is responsible are represented by arcs in Fig. 1.The junctions are labelled \(A , B , C , \ldots , G\). The number on each arc represents the length of that road in km. The council has received a number of complaints about the condition of the pavements. In order to inspect the pavements, a council employee needs to walk along each road twice (once on each side of the road) starting and ending at the council offices at \(C\). The length of the route is to be minimal. Ignore the widths of the roads.
  1. Explain how this situation differs from the standard Route Inspection problem.
  2. Find a route of minimum length and state its length.