General Mathematics · Unit 4 · Networks and decision mathematics 1 · Project planning and scheduling using critical path analysis (CPA)
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A community theatre production requires seven activities to be completed. The table shows the activities, their duration (in days), and their immediate predecessors. Use a project network diagram with completed forward and backward scanning to determine the minimum number of days by which activity E must be shortened so that the overall project duration is reduced by 3 days.
A construction project has the following activities: Activity A (3 days, no prerequisites), Activity B (4 days, depends on A), Activity C (2 days, depends on A), and Activity D (5 days, depends on B and C). What is the minimum project duration in days?
A building renovation project consists of five tasks with the following dependencies and durations: • Task A (4 days) must be completed before tasks B and C can start • Task B (6 days) must be completed before task E can start • Task C (5 days) must be completed before task D can start • Task D (3 days) must be completed before task E can start • Task E (2 days) is the final task What is the minimum duration of the entire project?