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

Calculate float times for non-critical activities.

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Question 1

An activity network shows eight activities labelled A through H. The earliest start time (EST) for activity D is 11 minutes and the latest start time (LST) for activity D is 21 minutes. Activity D takes 6 minutes to complete. Calculate the float time for activity D.

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Question 2

A construction project consists of nine activities, A to I. The project network and activity durations are shown in the diagram below. Calculate the float time for each of the following activities: (a) Activity C (1 mark) (b) Activity F (1 mark) (c) Activity H (2 marks)

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Question 3

The table below shows the duration, earliest start time (EST), and latest finish time (LFT) for each activity in a project. Calculate the float time for activity D.

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Construct a project network diagram (activity on arc) to represent the durations and interdependencies of activities that must be completed during the project (excluding dummy activities).
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