AQA D2 2013 January — Question 1

Exam BoardAQA
ModuleD2 (Decision Mathematics 2)
Year2013
SessionJanuary
TopicCritical Path Analysis

1
Figure 1 below shows an activity diagram for a project. Each activity requires one worker. The duration required for each activity is given in hours.
  1. Find the earliest start time and the latest finish time for each activity and insert their values on Figure 1.
  2. On Figure 2 opposite, complete the precedence table.
  3. Find the critical path.
  4. Find the float time of activity \(E\).
  5. Using Figure 3 on page 5, draw a resource histogram to illustrate how the project can be completed in the minimum time, assuming that each activity is to start as early as possible.
  6. Given that there are two workers available for the project, find the minimum completion time for the project.
  7. Given that there is only one worker available for the project, find the minimum completion time for the project. Figure 1 \begin{figure}[h]
    \captionsetup{labelformat=empty} \caption{(a)} \includegraphics[alt={},max width=\textwidth]{3ba973a1-6a45-4381-b634-e9c4673ef1fb-02_629_1550_1818_292}
    \end{figure}
  8. \begin{table}[h]
    \captionsetup{labelformat=empty} \caption{Figure 2}
    ActivityImmediate predecessor(s)
    A
    B
    C
    D
    E
    \(F\)
    G
    H
    I
    J
    \(K\)
    \end{table}
    \includegraphics[max width=\textwidth, alt={}]{3ba973a1-6a45-4381-b634-e9c4673ef1fb-05_2486_1717_221_150}