Edexcel FD2 2019 June — Question 3

Exam BoardEdexcel
ModuleFD2 (Further Decision 2)
Year2019
SessionJune
TopicDynamic Programming

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5274a614-7862-49f0-ad1d-b59b73aa51ad-04_1047_1691_210_187} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} In Figure 1 the weight of \(\operatorname { arc } \mathrm { SB }\) is denoted by \(x\) where \(x \geqslant 0\)
  1. Explain why Dijkstra's algorithm cannot be used on the directed network in Figure 1.
    (1) It is given that the minimum weight route from S to T passes through B .
  2. Use dynamic programming to find
    1. the range of possible values of \(x\)
    2. the minimum weight route from S to T .
      (12)