Critical path analysis is a project management technique and is used to lay out all of the activities which are needed to complete a task. Starting some activities will depend on completing others first, while independent activities can be started any time. Critical path analysis helps to predict the project completion time.

The problem requires students to plan the activities a property developer needs to do in order to complete the tasks, keeping costs to a minimum and using only one worker.

Critical path analysis: presentation - an introduction to the problem outlining the student task and putting the task into context.

Critical path analysis: problem - a student version of the problem outlined in the introduction.

Critical path analysis: solution - one possible suggested solution for the problem.

The OR Society have developed these problems for use in Decision mathematics lessons. The problems can be used as an introduction to a topic, part of the learning process or as a plenary exercise.

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