Question

The 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

Answer 1

step 1	find early start, and early finish from the start of the project for each activity
step 2	Find Maximum EF and keep it as the LF of last activities. Max of EF's is 34
step 3	calculate LS for each activity after calculating its EF

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

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