Edexcel D1 2017 June — Question 6

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2017
SessionJune
TopicCombinations & Selection

6. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{65fb7699-4301-47d2-995d-713ee33020c8-08_848_1543_242_260} \captionsetup{labelformat=empty} \caption{Figure 6}
\end{figure} A project is modelled by the activity network shown in Figure 6. The activities are represented by the arcs. The number in brackets on each arc gives the time, in days, to complete the corresponding activity. Each activity requires exactly one worker. The project is to be completed in the shortest possible time.
  1. Complete Diagram 1 in the answer book to show the early event times and the late event times.
  2. Draw a Gantt chart for the project on the grid provided in the answer book.
  3. State the activities that must be happening at time 18.5 An additional activity, P , is now included in the activity network shown in Figure 6. Activity P is immediately preceded only by activity D . No activity is dependent on the completion of activity P . Each activity still requires exactly one worker and the revised project is to be completed in the shortest possible time.
  4. Explain, briefly, whether or not the revised project can be completed in the same time as the original project if the duration of activity P is
    1. 10 days
    2. 17 days