Describe role of PERT, CPM and Gantt based on action items given below:
1. Recognize the purpose of each tool and situations for using each. Also consider whether these tools are individual methods which can be used independently or if they must ideally be used as set.
2. Distinguish activity-on-node and activity-on-arrow (or activity-on-arc) diagramming techniques. Write down the differences and similarities?
3. Suggest and explain in text form sample project which you would theoretically create into PERT diagram and Gantt chart. For instance, "Building car would consist of following steps."(briefly write the steps as task statements). Postulate critical path of sample hypothetical project: what would be critical path sequence?