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Discuss PERT, CPM and Gantt based on the following action items:

What are the purposes of each tool and circumstances for using each tool? Also consider whether these tools can be used independently or if they should ideally be used together.
What are the differences and similarities between the activity-on-node and activity-on-arrow (or activity-on-arc) diagramming techniques?
Propose and describe in text form a sample project that you would theoretically develop into a PERT diagram and Gantt chart. For example, “Building a car would consist of the following steps…”(briefly outline the steps as task statements). Postulate the critical path of your sample hypothetical project: What would be the critical path sequence?