OCR D2 2008 January — Question 5

Exam BoardOCR
ModuleD2 (Decision Mathematics 2)
Year2008
SessionJanuary
TopicCritical Path Analysis

5 Answer this question on the insert provided. The diagram shows an activity network for a project. The figures in brackets show the durations of the activities in days.
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  1. Complete the table in the insert to show the precedences for the activities.
  2. Use the boxes on the diagram in the insert to carry out a forward pass and a backward pass. Find the minimum project duration and list the critical activities. The number of people required for each activity is shown in the table below. The workers are all equally skilled at all of the activities.
    Activity\(A\)\(B\)\(C\)\(D\)\(E\)\(F\)\(G\)\(H\)\(I\)\(J\)
    Number of workers4122323312
  3. On graph paper, draw a resource histogram for the project with each activity starting at its earliest possible time.
  4. Describe how the project can be completed in 21 days using just six workers.