Question

project are listed for a In the following table the activities with their precedence sequence and expected time (days) Immediate Predecessor(s) Time (days) Activity 7 A 2 A B 4 C 4 5 5 E C F 2 G E, F 3 H G, H a) The activities on the critical path are b) The project length is days.

Answer 1

1. A. CRITICAL PATH = A - C - F - G - I

PROJECT LENGTH = LENGTH OF CRITICAL PATH = 23

The ES, EF values are calculated using a forward pass where the ES of the next activity is the maximum EF of all the predecessor activities.

The LS, LF values are calculated using a backward pass where the LS of the next activity is the minimum LF of all the predecessor activities.

The critical path represents all the activities in a particular chain which have the largest duration and 0 slack for all activities, and due to this fact, any delay in the critical activities can cause a delay for the entire project.

ACTIVITY	DURATION	PRE 1	PRE 2	ES	EF	LS	LF	SLACK
A	7			0	7	0	7	0
B	2	A		7	9	8	10	1
C	4	A		7	11	7	11	0
D	5	B		9	14	10	15	1
E	5	B		9	14	11	16	2
F	5	C		11	16	11	16	0
G	2	E	F	16	18	16	18	0
H	3	D		14	17	15	18	1
I	5	G	H	18	23	18	23	0

CRITICAL PATH = A - C - F - G - I

PROJECT LENGTH = LENGTH OF CRITICAL PATH = 23