Question

Given is a CPM project network diagram as shown below.

Activity	Start	A	B	C	D	E	F	G	H	End
days	0	2	6	8	3	4	2	3	2	0

a) The Project Completion time = ___ days.

b) The Earliest Start time, ES, of Activity G = ____ days.

c) The Latest Finish time, LF, of Acitivity C = ____ days.

d) The critical activities are = ____ (ex. Fill in answer as: ABCD)

Answer 1

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Answer : a) The Project Completion time = 19 days.

b) The Earliest Start time, ES, of Activity G = 14 days.

c) The Latest Finish time, LF, of Acitivity C = 10 days.

d) The critical activities are = ACEGH.

Explanation of finding time duration of above CPM project network diagram:

First Identify the Earliest Start time (ES) and Earliest Finish time (EF)

ES = The latest EF of the precedence activities ( (Which is directly dependent on each other)

EF = ES + Duration

For the last activity ES = LS and EF = LF

similarly , now work backward

LF = Earliest LS of the following activities (Which is directly dependent on each other)

LS = LF - Duration

All activities are critical for which ES = LS