Question

The critical path for the network activities shown below is ________ with duration ________.

Activity	Duration	Immediate Predecessors
A	4	---
B	2	A
C	7	--
D	4	A
E	5	B,C,D

Answer 1

​Solution:

From the given information, network diagram can be drawn as below:

The possible paths in the network and their duration are computed below:

1) A - B - E = 4 + 2 + 5 = 11

2) A - D - E = 4 + 4 + 5 = 13 (longest path)

3) C - E = 7 + 5 = 12

Critical path in a network is the path with the longest duration. In the given network, the path with the longest duration is A-D-E. Hence, it is the critical path.

Critical path = A - D - E

Project duration = Length of the critical path

Length of the critical path = 13

Project duration = 13