Final answer:
Critical path analysis is the tool used in network diagrams to complete a project in the shortest possible time while making the best use of available resources.
Step-by-step explanation:
In a network diagram, critical path analysis will allow the project to be completed in the shortest possible time while making the best use of available resources. Critical path analysis is a method used to identify the sequence of activities that will take the longest time to complete, and any delays in these activities will directly impact the overall project timeline. By focusing on the critical path, project managers can allocate resources and prioritize tasks to ensure efficient project completion.