Table 12-4
The following represents a project with known activity times. All times are in weeks.
-Using the data in Table 12-4, determine the latest time activity A can be finished and not delay any activity?
A) 4
B) 0
C) 8
D) 5
E) None of the above

Question

Table 12-4
The following represents a project with known activity times. All times are in weeks. 
-Using the data in Table 12-4, determine the latest time activity A can be finished and not delay any activity?
A) 4 
B) 0 
C) 8 
D) 5 
E) None of the above

Quizplus · Accepted Answer

Activity A has three paths to the end of the project: A-B-E-H, A-C-E-H, and A-D-F-H. The latest time activity A can finish is the minimum of the latest start times of activities in these three paths. The latest start time for activity H is 8, and working backwards:
- Path A-B-E-H: activity E can start at the latest in week 7 (8-1) and activity B can start at the latest in week 4 (7-3) which means activity A can finish at the latest in week 4 (4-1).
- Path A-C-E-H: activity E can start at the latest in week 5 (8-3) and activity C can start at the latest in week 0 (5-5) which means activity A can finish at the latest in week 5 (5-0).
- Path A-D-F-H: activity F can start at the latest in week 1 (8-7) and activity D can start at the latest in week 0 (1-1) which means activity A can finish at the latest in week 5 (5-0). 
Therefore, the latest time activity A can finish and not delay any activity is 8-5=3 weeks before the project end, which is week 5. The answer is C.

Table 12-4 The Following Represents a Project with Known Activity Times. All