CPM/PERT basics: meaning of an event (node) in a network Evaluate the statement: “An event is a function of two or more activities.”

Introduction / Context:In CPM/PERT networks, events (nodes) and activities (arrows) represent the logical structure of a project. Understanding what an event signifies is essential for correct modeling and time calculations.

Given Data / Assumptions:

• Arrow-on-activity representation.
• Event marks the start or finish of activity(ies).
• No duration is associated with an event.

Concept / Approach:An event is an instantaneous state in time—usually the completion of one or more activities or the start of a subsequent activity. It is not a “function” of activities; rather, it is a milestone that occurs when all predecessor activities to that node are complete (for a merge) or from which multiple successors may emanate (for a burst).

Step-by-Step Solution:Define event: zero-time milestone marking completion or start.Relate to activities: predecessors lead into an event; successors leave from it.Assess statement: calling an event a “function” is incorrect usage; the event is a point in time, not an operation or function.Hence, the statement is incorrect.

Verification / Alternative check:Scheduling computations (earliest event time, latest event time) hinge on precedence completion rules, reinforcing that the event itself has no duration or functional transformation.

Why Other Options Are Wrong:(C), (D), and (E) attempt to qualify a false definition; even merge or burst events are still milestones, not functional transformations.

Common Pitfalls:Confusing activities (work with duration) and events (instantaneous milestones); assigning resources or time to events.

Final Answer:Incorrect