The critical path in a project network represents
- AThe longest path with the minimum cost
- BThe shortest path in the project network
- CThe longest path with zero floatCorrect
- DThe path with the maximum resources
Solution
Concept
The critical path is defined as the longest path through the project network with a total float equal to zero.
Step-by-step solution
1. Identify all possible paths from the start node to the end node in the project network. 2. Sum up the durations of activities along each path. 3. The path with the maximum total duration is the critical path. 4. Calculate the total float (Latest Start - Earliest Start or Latest Finish - Earliest Finish) for activities on this path, which equals zero.
Explanation
The critical path is the longest sequence of activities in a project network which determines the total duration of the project. Activities on the critical path have zero total float, meaning any delay in these activities will directly delay the project completion time.
Why the other options are wrong
A: The critical path has the maximum duration, not necessarily minimum cost. B: It is the longest path, not the shortest. D: Resources are not the defining criterion for the critical path.
Shortcut
Look for the path with zero total float and maximum duration.
Common mistake
Confusing the critical path with the path having the minimum cost or maximum resources.
Correct answer: C) The longest path with zero float