AQA Further AS Paper 2 Discrete 2023 June — Question 4

Exam BoardAQA
ModuleFurther AS Paper 2 Discrete (Further AS Paper 2 Discrete)
Year2023
SessionJune
TopicCritical Path Analysis

4 A community project consists of 10 activities \(A , B , \ldots , J\), as shown in the activity network below.
\includegraphics[max width=\textwidth, alt={}, center]{372edcfa-c3cd-4c83-89e9-2bb5fd9825f1-06_899_1083_367_466} The duration of each activity is shown in days. 4
    1. Complete the activity network in the diagram above, showing the earliest start time and latest finish time for each activity. 4
  1. (ii) State the minimum completion time for the community project.
    4
  2. Write down the critical activities of the network.
    4
  3. Glyn claims that a project's activity network can be used to determine its minimum completion time by adding together the durations of all the project's critical activities. 4
    1. Show that Glyn's claim is false for this community project's activity network.
      4
  4. (ii) Describe a situation in which Glyn's claim would be true.