OCR D2 — Question 6

Exam BoardOCR
ModuleD2 (Decision Mathematics 2)
TopicCritical Path Analysis

  1. A project consists of the activities listed in the table below. For each activity the table shows how long it will take, which other activites must be completed before it can be done and the number of workers needed to complete it.
ActivityDuration (hours)Immediate Predecessor(s)No. of Workers
A3-9
B2A5
C5\(A\)6
D3C5
E6\(B , D\)2
\(F\)13D5
\(G\)4E6
\(H\)12E4
I3\(F\)4
J5H, I3
K7\(G , J\)8
  1. Draw an activity network for the project.
  2. Find the critical path and the minimum time in which the project can be completed.
  3. Represent all of the activities on a Gantt diagram.
  4. By drawing a resource histogram, find out the maximum number of workers required at any one time if each activity is begun as soon as possible.
  5. Draw another resource histogram to show how the project can be completed in the minimum time possible using a maximum of 10 workers at any one time. Sheet for answering question 4 \section*{Please hand this sheet in for marking} \includegraphics[max width=\textwidth, alt={}, center]{b8eb80d5-5af5-4a8b-8335-6fae95f3aa73-6_729_1227_482_338}
    \includegraphics[max width=\textwidth, alt={}, center]{b8eb80d5-5af5-4a8b-8335-6fae95f3aa73-6_723_1223_1466_338}