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General Mathematics · Unit 4 · Networks and decision mathematics 1 · Project planning and scheduling using critical path analysis (CPA)

Use ESTs and LSTs to locate the critical path/s for a project.

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Question 1

The table shows the earliest start time (EST) and latest start time (LST) for each activity in a project network. Which activity or activities lie on the critical path?

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Question 2

Activities P and Q are critical activities for a project. The earliest starting time (EST) and latest starting time (LST) for each activity are shown. What is the EST and LST for Activity R?

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Question 3

Use the activity network shown to determine the critical path for the construction project and state the minimum completion time in weeks.

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Question 4

A construction company is managing a renovation project with seven activities. The table shows each activity, its duration (in days), and its immediate predecessors. Use earliest start times (ESTs) and latest start times (LSTs) to determine the critical path for the project and calculate the minimum project completion time.

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More in Project planning and scheduling using critical path analysis (CPA)

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Solve small-scale practical problems involving critical path analysis.
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Use forward and backward scanning to determine the earliest starting time (EST) and latest starting time (LST) for each activity in the project.
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