Edexcel D1 2012 June — Question 2

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2012
SessionJune
TopicCombinations & Selection

2. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4ad45e8f-f50a-4125-866b-a6951f85600f-3_474_593_264_372} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4ad45e8f-f50a-4125-866b-a6951f85600f-3_474_588_267_1096} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} Figure 1 shows the possible allocations of five workers, Charles (C), David (D), Ellie (E), Freya (F) and Georgi (G), to five tasks, 1, 2, 3, 4 and 5. Figure 2 shows an initial matching.
  1. Starting from this initial matching, use the maximum matching algorithm to find a complete matching. State clearly the alternating path that you use and list your final matching.
    (4)
  2. Find another solution starting from the given initial matching. You should state the alternating path and list the complete matching it gives.
    (3)