OCR D2 — Question 4

Exam BoardOCR
ModuleD2 (Decision Mathematics 2)
TopicCritical Path Analysis

4.
\$ FMMUMITI7 IP HIZ3 UFHGHQFHIT
ா\$ மோங்கோ
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\includegraphics[max width=\textwidth, alt={}, center]{34728928-2a21-463d-982e-c46ab2dc05c8-4_49_533_539_301}
\includegraphics[max width=\textwidth, alt={}, center]{34728928-2a21-463d-982e-c46ab2dc05c8-4_49_472_593_303}
\includegraphics[max width=\textwidth, alt={}, center]{34728928-2a21-463d-982e-c46ab2dc05c8-4_49_497_648_303}
\includegraphics[max width=\textwidth, alt={}, center]{34728928-2a21-463d-982e-c46ab2dc05c8-4_54_501_703_306}
\includegraphics[max width=\textwidth, alt={}, center]{34728928-2a21-463d-982e-c46ab2dc05c8-4_45_467_762_303}
\includegraphics[max width=\textwidth, alt={}, center]{34728928-2a21-463d-982e-c46ab2dc05c8-4_49_463_813_303}
\includegraphics[max width=\textwidth, alt={}, center]{34728928-2a21-463d-982e-c46ab2dc05c8-4_47_460_872_303}
\(\square\)
\(\square\) Fig. 2
Construct an activity network to model the work involved in laying the foundations and putting in services for an industrial complex.
  1. Execute a forward scan to find the minimum time in which the project can be completed.
  2. Execute a backward scan to determine which activities lie on the critical path. The contractor is committed to completing the project in this minimum time and faces a penalty of \(\pounds 50000\) for each day that the project is late. Unfortunately, before any work has begun, flooding means that activity \(E\) will take 3 days longer than the 7 days allocated.
  3. Activity \(K\) could be completed in 1 day at an extra cost of \(\pounds 90000\). Explain why doing this is not economical.
    (2 marks)
  4. If the time taken to complete any one activity, other than \(E\), could be reduced by 2 days at an extra cost of \(\pounds 80000\), for which activities on their own would this be profitable. Explain your reasoning.
    (3 marks)
    11 marks