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

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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Question 1

A construction project consists of six activities. The table below shows each activity, its duration (in days), and its prerequisite activities. (a) Use forward scanning to determine the earliest starting time (EST) for activity F. [1 mark] (b) Use backward scanning to determine the latest starting time (LST) for activity C. [1 mark] (c) State the total project duration. [1 mark]

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Question 2

A community garden project involves six activities (A–F) as shown in the table below. (a) State the earliest starting time (EST) for activity E. (1 mark) (b) Use backward scanning to determine the latest starting time (LST) for activity C. (3 marks)

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Question 3

Activities P and Q are the critical activities for a project. What is the earliest starting time (EST) for Activity Q?

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

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Use ESTs and LSTs to locate the critical path/s for a project.
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Use the critical path to determine the minimum time for a project to be completed.
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