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Define “Critical path”, “Slack time”, “Resource Levelling” and “Dummy activity”

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Define “Critical path”, “Slack time”, “Resource Levelling” and “Dummy activity” with reference to PERT and CPM.
An architect has been awarded a contract to prepare plans for an urban renewal project. The job consists of the following activities and their estimated value. Draw a critical path arrow diagram for this project, indicate the critical path and calculate the total slack and free slack for each activity.

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