Question

The following activities are part of a project to be scheduled using CPM. Activity, Immediate Predecessor, Time (weeks): a–6, b–a, 3, c–a, 7, d–c, 2, e–b, d, 4, f–d, 3, g–e, f, 7. What is the critical path?

Answer 1

The critical path for the given project, determined using the Critical Path Method (CPM), is A-C-D-E-G, resulting in a project duration of 26 weeks.

Step-by-step explanation:

The question involves determining the critical path for a project using Critical Path Method (CPM). To identify the critical path, you would first list all paths from the beginning to the end of the project, calculate the total duration for each path, and then select the path with the longest duration.

In this case, the paths and their durations are as follows:

• Path A-B-E-G: 6 + 3 + 4 + 7 = 20 weeks
• Path A-C-D-E-G: 6 + 7 + 2 + 4 + 7 = 26 weeks
• Path A-C-D-F-G: 6 + 7 + 2 + 3 + 7 = 25 weeks

The path with the longest duration is A-C-D-E-G and therefore this is the critical path for the project.

The critical path for the given project, determined using the Critical Path Method (CPM), is A-C-D-E-G, resulting in a project duration of 26 weeks.