Asked by Devin Usher on May 07, 2024
Verified
A simple CPM network has three activities, D, E, and F. D is an immediate predecessor of E and of F. E is an immediate predecessor of F. The activity durations are D = 5, E = 4, F = 9.
A) The critical path is D-E-F, duration 18.
B) The critical path is D-F, duration 14.
C) Slack at D is 4 units.
D) Slack at E is 4 units.
E) The network has two critical paths.
Critical Path
The longest sequence of activities in a project plan which must be completed on time for the project to finish by its due date.
Immediate Predecessor
Refers to an immediately preceding task or step that must be concluded before the next one can start, in a sequence of operations or processes.
Activity Durations
The estimated or actual amount of time needed to complete an activity or task in project management.
- Understand the importance and use of critical path analysis in the planning and execution of projects.
Verified Answer
Answer: C
Slack at a particular activity is the amount of time the activity can be delayed without impacting the project duration. Slack at D can be calculated as follows: Slack at D = (EF - D) - (LF - D) = (18 - 5) - (18 - 9) = 4.
Answer: D
Slack at E can be calculated as follows: Slack at E = (LF - E) - (EF - E) = (18 - 4) - (14 - 4) = 4.
Answer: E
The network has only one critical path, which is D-E-F. There cannot be two critical paths in a simple CPM network.
Learning Objectives
- Understand the importance and use of critical path analysis in the planning and execution of projects.
Related questions
A Simple CPM Network Has Five Activities, A, B, C ...
The Critical Path for the Network Activities Shown Below Is ...
Which of the Following Statements Concerning CPM Activities Is False ...
Given the Project Within the Table Below CalculateA ...
The Network Below Represents a Project Being Analyzed by Critical ...