OCR D2 2013 January — Question 2

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

2 A project is represented by this activity network. The weights (in brackets) on the arcs represent activity durations, in minutes.
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  1. Complete the table in the answer book to show the immediate predecessors for each activity.
  2. Carry out a forward pass and a backward pass through the activity network, showing the early event time and the late event time at each vertex of your network. State the minimum project completion time and list the critical activities. Suppose that the start of one activity is delayed by 2 minutes.
  3. List each activity which could be delayed by 2 minutes with no change to the minimum project completion time.
  4. Without altering your diagram from part (ii), state the effect that a delay of 2 minutes on activity \(A\) would have on the minimum project completion time. Name another activity which could be delayed by 2 minutes, instead of \(A\), and have the same effect on the minimum project completion time.
  5. Without altering your diagram from part (ii), state what effect a delay of 2 minutes on activity \(C\) would have on the minimum project completion time.