Question

The ABC Manufacturing Co. has made a decision to replace an existing production line with new equipment. This project will require several tasks (jobs) with precedence relationships and duration (weeks) as shown in the following table. The project will be finished when activities A-J are all finished.

Activity	Predecessors	Duration (Weeks)
A	—	5
B	—	5
C	A	11
D	B	9
E	C	4
F	C, D	10
G	E	4
H	G	3
I	G	4
J	F, H	3

a)       Create an Activity-On-Node network diagram for this Project.

b)       Calculate the earliest start (ES) and finish (EF) times and latest start (LS) and finish (LF) times, the total slack (TS) and free slack (FS) for each of the activities in the network.

c)       Identify the critical path(s).

d)       What is the project completion duration?

Answer 1

Activitiy	Predeccors	Duration	ES	EF	LS	LF	Total Slack	Free Slack
A	--	5	0	5	0	5	0	0
B	--	5	0	5	3	8	3	0
C	A	11	5	16	5	16	0	0
D	B	9	5	14	8	17	3	2
E	C	4	16	20	16	20	0	0
F	C,D	10	16	26	17	27	1	1
G	E	4	20	24	20	24	0	0
H	G	3	24	27	24	27	0	0
I	G	4	24	28	26	30	2	2
J	F,H	3	27	30	27	30	0	0

Ans C)

Ciritical Path is a path of all activities with No Slacks.

A - C - E -G - H - J

Ans D)

Project Duration time : Latest finish time of the last activity on critical path

Project Duration time = 30 weeks