Question

Reliable Garoge is completing production of the J2000 kit car. The following data are available for the project ctivityActivity Time ldaysl Immediate redecessoris D. b. Dabaina tha projacts ccal path and duration The critical psth is AB-CF-GH ad the project duration is 26 days). Enter your respunse as s whole number) b. Dctanmine the projects crttical path and durntion The crtical path ABCFGH and the project duration 26 dasi (Enter your respanee aswhove number) c. What is the slack for each activity? days your answer in the edt felds and then cick Check Anewer

Answer 1

Network Diagram -

Hence, (d) is the correct answer

Network paths and their duration are -

ABCDH --> 3+4+4+3+4 = 18
ABCEH --> 3+4+4+7+4 = 22
ABCFGH --> 3+4+4+7+4+4 = 26

Hence, critical path is ABCFGH and project duration = 26 days

(c)

Earliest Start (ES) = the earliest time when the activity can begin

Earliest Finish (EF) = ES + Activity Duration

Latest Finish (LF) = the latest time by whenthe activity can be finished without changing the project completion duration

Latest Start (LS) = LF - Activity Duration

Slack = LS-ES = LF-EF

Computing using the above gives us the below -

Activity	Precedes	Activity Time	ES	EF	LS	LF	Slack
A	-	3	0	3	0	3	0
B	A	4	3	7	3	7	0
C	B	4	7	11	7	11	0
D	C	3	11	14	19	22	8
E	C	7	11	18	15	22	4
F	C	7	11	18	11	18	0
G	F	4	18	22	18	22	0
H	D, E, G	4	22	26	22	26	0

Hence, slack for D = 8 and slack for E = 4 days

Slack for all the other activities = 0 days

Slack for activities on critical path is always 0