Edexcel D1 2008 January — Question 4

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2008
SessionJanuary
TopicCombinations & Selection

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{7396d930-0143-4876-b019-a4d73e09b172-5_1079_1392_267_338} \captionsetup{labelformat=empty} \caption{Figure 5}
\end{figure} A project is modelled by the activity network shown in Figure 5. The activities are represented by the arcs. The number in brackets on each arc gives the time, in hours, to complete the activity. Some of the early and late times for each event are shown.
  1. Calculate the missing early and late times and hence complete Diagram 1 in your answer book.
  2. Calculate the total float on activities D, G and I. You must make your calculations clear.
  3. List the critical activities. Each activity requires one worker.
  4. Calculate a lower bound for the number of workers needed to complete the project in the minimum time.
    (2)