Question

A construction company has a project proposal, which takes 10 activities as follows:

Activity	Predecessors	Activity Duration Time (In DAYS )	Early Start (ES) (In DAYS )	Early Finish (EF) (In DAYS )	Late Start (LS) (In DAYS )	Late Finish (LF) (In DAYS )	SLACK (In DAYS )
A	-	14
B	-	13
C	A	11
D	A	15
E	B	14
F	B	11
G	D, E	13
H	F	15
J	C	12
K	G,H	11

1. Complete the table.                                                                                                       (11 pts)
2. What is the critical path?                                                                                                ( 5 pts)
3. Based on critical path, what is the expected time in days to complete this project?            ( 5 pts)
4. Is it possible to delay activity-B without delaying the project?                                            ( 1 pts)
5. If “yes,” then how many days can activity-B be delayed without delaying the project?      

If “No,” then list at least one activity which can be delayed without delaying the project.       ( 1 pts)

6. Is it possible to delay activity-G without delaying the project?                                           ( 1 pts)
7. If “yes,” then how many days can activity-G be delayed without delaying the project?      

If “No,” then list at least one activity which can be delayed without delaying the project.       ( 1 pts)

Answer 1

ACTIVITY	DURATION	ES	EF	LS	LF	SLACK	CRITICAL
A	14	0	14	0	14	0	YES
B	13	0	13	2	15	2
C	11	14	25	30	41	16
D	15	14	29	14	29	0	YES
E	14	13	27	15	29	2
F	11	13	24	16	27	3
G	13	29	42	29	42	0	YES
H	15	24	39	27	42	3
I	12	25	37	41	53	16
J	11	42	53	42	53	0	YES

FORWARD PASS: ES = MAXIMUM EF OF ALL PREDECESSOR ACTIVITIES; 0 IF NO PREDECESSORS ARE PRESENT. EF = ES + DURATION OF THE ACTIVITY.

BACKWARD PASS: LF = MINIMUM LS OF ALL SUCCESSOR ACTIVITIES; COMPLETION TIME OF THE PROJECT IF NO SUCCESSORS ARE PRESENT. LS = LF - DURATION OF THE ACTIVITY.

SLACK = LF - EF, OR, LS - ES

CRITICAL PATH = PATH WITH THE LONGEST COMBINED DURATION VALUE AND 0 SLACK.

CRITICAL PATH = A-D-G-J

DURATION OF PROJECT = 53

D. YES, 2 DAYS SINCE SLACK = 2

F. NO, SINCE G IS A CRITICAL ACTIVITY

WE CAN DELAY I BY 16 DAYS WITHOUT DELAYING THE PROJECT