General Mathematics · Unit 4 · Networks and decision mathematics 1 · Project planning and scheduling using critical path analysis (CPA)
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A project to renovate a community centre consists of five activities with the durations and prerequisites shown in the table below. (a) Use forward scanning to determine the EST for activity D. [1 mark] (b) Use backward scanning to determine the LST for activity E. [1 mark] (c) Calculate the total project duration (the duration of the critical path). [1 mark]
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)
Activities P and Q are the critical activities for a project. What is the earliest starting time (EST) for Activity Q?
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]