Given the following small project, the critical path is ________ days.
A)4
B)10
C)12
D)22

Question

Given the following small project, the critical path is ________ days. 
A)4 
B)10 
C)12 
D)22

Quizplus · Accepted Answer

First, we need to draw the project network diagram and calculate the earliest start time (ES), earliest finish time (EF), latest start time (LS), and latest finish time (LF) for each activity.

Activity A:
ES = 0, EF = 3
Activity B:
ES = 3, EF = 6
Activity C:
ES = 0, EF = 5
Activity D:
ES = 5, EF = 8
Activity E:
ES = 6, EF = 8
Activity F:
ES = 8, EF = 11
Activity G:
ES = 11, EF = 15
Activity H:
ES = 8, EF = 12
Activity I:
ES = 12, EF =15

Then, we can calculate the total duration of each path:
- A-B-D-F-G: 3+3+3+3+4=16
- A-C-E-F-G: 5+2+3+3+4=17
- A-C-H-I-G: 5+4+3+3=15

Therefore, the critical path is A-B-D-F-G with a duration of 16 days.

Given the Following Small Project, the Critical Path Is ________