Question

t

he activities described by the following table are given for the Howard Corporation in​ Kansas:

Activity   Time (in weeks)   Immediate Predecessor(s)   Activity   Time (in weeks)   Immediate Predecessor(s)   Activity   Time (in weeks)   Immediate Predecessor(s)
A 10 - D 6 B G 6 E, F
B 6 A E 10   B H 6 D
C 3 A F 10 C I 2 G, H

b) The activities on the critical path are A-B-E-G-I

Activity	Duration, D	Early start, ES=Max of early finish of preceding activities	Early finish, EF = ES + D	Late finish, LF= Min of LS of successor activities	Late start, LS= LF - D	Total slack= LF-EF	Critical activity, activities with 0 slack time
A	10	0	10	10	0	0	Yes
B	6	10	16	16	10	0	Yes
C	3	10	13	16	13	3	No
D	6	16	22	26	20	4	No
E	10	16	26	26	16	0	Yes
F	10	13	23	26	16	3	No
G	6	26	32	32	26	0	Yes
H	6	16	22	32	26	10	No
I	2	32	34	34	32	0	Yes

​c) what is the total project completion time for Howard Corporation in weeks?

​(Enter your response as a whole number.​)

Answer 1

(b)

Activity	Duration	Predecessors	ES	EF	LF	LS	Total slack	Critical?
A	10	-	0	10	10	0	0	Y
B	6	A	10	16	16	10	0	Y
C	3	A	10	13	16	13	3	N
D	6	B	16	22	26	20	4	N
E	10	B	16	26	26	16	0	Y
F	10	C	13	23	26	16	3	N
G	6	E, F	26	32	32	26	0	Y
H	6	D	22	28	32	26	4	N
I	2	G, H	32	34	34	32	0	Y

The activities on the critical path are A-B-E-G-I (Zero total slack)

c)

The total project completion time = LF of the last activity 'I' = 34 weeks