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The diagram below shows a critical path analysis for a project - HSC - SSCE Business Studies - Question 14 - 2012 - Paper 1

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The diagram below shows a critical path analysis for a project. The diagram includes: - Task A: 1 day - Task B: 3 days - Task C: 4 days - Task D: 1 day - Task E: 2 ... show full transcript

Worked Solution & Example Answer:The diagram below shows a critical path analysis for a project - HSC - SSCE Business Studies - Question 14 - 2012 - Paper 1

Step 1

Calculate Path Times

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Answer

To determine the minimum duration for project completion, we will analyze the different paths in the critical path analysis:

  1. Path 1: Start → Task A (1 day) → Task B (3 days) → Task F (3 days) → Task G (10 days) → Finish
    Total: 1 + 3 + 3 + 10 = 17 days

  2. Path 2: Start → Task A (1 day) → Task C (4 days) → Task F (3 days) → Task G (10 days) → Finish
    Total: 1 + 4 + 3 + 10 = 18 days

  3. Path 3: Start → Task A (1 day) → Task D (1 day) → Task E (2 days) → Task I (4 days) → Finish
    Total: 1 + 1 + 2 + 4 = 8 days

  4. Path 4: Start → Task A (1 day) → Task D (1 day) → Task H (5 days) → Task G (10 days) → Finish
    Total: 1 + 1 + 5 + 10 = 17 days

After analyzing all paths, the longest path, which determines the critical path, is 17 days.

Step 2

Identify Minimum Completion Time

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Answer

The minimum number of days needed to complete the project is the maximum total of all paths calculated. Therefore, the minimum number of days needed is 17 days.

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