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

Use the critical path to determine the minimum time for a project to be completed.

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Question 1

A landscaping company is planning a garden installation project. The table below shows the activities required, their durations, and prerequisites. Determine the critical path and the minimum completion time for the project, in hours.

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Question 2

A construction company is planning to build a small storage shed. The tasks required, their durations, and their prerequisites are shown in the table below. (a) Construct a network diagram for the project, showing earliest start times (EST) and latest start times (LST) at each node. (2 marks) (b) Use the critical path to determine the minimum completion time for the project, in hours. (1 mark)

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Question 3

A construction company is scheduling the installation of a home security system. The tasks, their durations (in hours), and immediate prerequisites are shown in the table below. Determine the critical path and the minimum completion time, in hours, for the project.

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Question 4

A construction project begins at 8:45 am. The table below shows the duration, in minutes, of each activity. The critical path for the project is BDEG. What is the earliest completion time for the project?

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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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