AQA D2 2009 June — Question 1

Exam BoardAQA
ModuleD2 (Decision Mathematics 2)
Year2009
SessionJune
TopicCritical Path Analysis

1 [Figure 1, printed on the insert, is provided for use in this question.]
A decorating project is to be undertaken. The table shows the activities involved.
ActivityImmediate PredecessorsDuration (days)
A-5
B-3
C-2
DA, \(B\)4
E\(B , C\)1
\(F\)D2
GE9
H\(F , G\)1
I\(H\)6
\(J\)\(H\)5
\(K\)\(I , J\)2
  1. Complete an activity network for the project on Figure 1.
  2. On Figure 1, indicate:
    1. the earliest start time for each activity;
    2. the latest finish time for each activity.
  3. State the minimum completion time for the decorating project and identify the critical path.
  4. Activity \(F\) takes 4 days longer than first expected.
    1. Determine the new earliest start time for activities \(H\) and \(I\).
    2. State the minimum delay in completing the project.