AQA D2 2006 January — Question 3

Exam BoardAQA
ModuleD2 (Decision Mathematics 2)
Year2006
SessionJanuary
TopicCritical Path Analysis

3 [Figures 1 and 2, printed on the insert, are provided for use in this question.] A building project is to be undertaken. The table shows the activities involved.
ActivityImmediate PredecessorsDuration (days)Number of Workers Required
A-23
BA42
CA61
D\(B , C\)83
EC32
FD22
GD, E42
HD, E61
I\(F , G , H\)23
  1. Complete the activity network for the project on Figure 1.
  2. Find the earliest start time for each activity.
  3. Find the latest finish time for each activity.
  4. Find the critical path and state the minimum time for completion.
  5. State the float time for each non-critical activity.
  6. Given that each activity starts as early as possible, draw a resource histogram for the project on Figure 2.
  7. There are only 3 workers available at any time. Use resource levelling to explain why the project will overrun and state the minimum extra time required.