Edexcel D2 — Question 3

Exam BoardEdexcel
ModuleD2 (Decision Mathematics 2)
TopicDynamic Programming

3. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 2} \includegraphics[alt={},max width=\textwidth]{195b1c1f-5ce3-4762-80c3-34c26382b88b-004_764_1514_283_141}
\end{figure} The network in Fig. 2 shows possible routes that an aircraft can take from \(S\) to \(T\). The numbers on the directed arcs give the amount of fuel used on that part of the route, in appropriate units. The airline wishes to choose the route for which the maximum amount of fuel used on any part of the route is as small as possible. This is the rninimax route.
  1. Complete the table in the answer booklet.
    (8)
  2. Hence obtain the minimax route from \(S\) to \(T\) and state the maximum amount of fuel used on any part of this route.
    (2)