Question

For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below.

Activity	Predecessors	Duration (days)
a	-	3
b	a	4
c	a	5
d	a	4
e	b	2
f	d	9
g	c, e	6
h	f, g	2

If duration of activity f is changed to 10 days, then the critical path for the project is

• A. Critical path remains the same and the total duration to complete the project changes to 19 days.
• B. Critical path changes and the total duration to complete the project changes to 17 days.
• C. Critical path changes but the total duration to complete the project remains the same.
• D. Critical path and the total duration to complete the project remains the same.

Answer 1

The correct option is A Critical path remains the same and the total duration to complete the project changes to 19 days.



$\text{Critical path}\Rightarrow \text{adfh}=19\text{days}$

So, when the duration of activity, f is changed from 9 to 10 days, the critical path remains the same and the project duration will increase to 19 days.