Edexcel D1 2004 November — Question 1

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2004
SessionNovember
TopicPermutations & Arrangements

1. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 1} \includegraphics[alt={},max width=\textwidth]{4bbe6272-3900-42de-b287-599638ca75e4-02_753_1575_486_255}
\end{figure} Figure 1 shows a directed, capacitated network where the number on each arc is its capacity. A possible flow is shown from \(S\) to \(T\) and the value in brackets on each arc is the flow in that arc.
  1. Find the values of \(x , y\) and \(z\).
  2. Find, by inspection, the maximal flow from \(S\) to \(T\) and verify that it is maximal.
    (2)