Edexcel D1 2017 January — Question 7

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2017
SessionJanuary
TopicCritical Path Analysis

7. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{8c9bce2c-4156-4bf6-8d02-9e01d6f11948-08_1024_1495_226_276} \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 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 late event times.
  2. Explain what is meant by a critical path.
  3. List the critical path for this network.
  4. For each of the situations below, state the effect that the delay would have on the project completion date.
    1. A 4-day delay during activity J.
    2. A 4-day delay during activity M . The delays mentioned in (d) do not occur.
  5. Calculate a lower bound for the number of workers needed to complete the project in the minimum time. You must show your working.
  6. Schedule the activities using the minimum number of workers so that the project is completed in the minimum time.