QUANTITIES

17.

For each of the problems listed, determine the following quantities for each activity: the earliest start time, latest start time, earliest finish time, latest finish time, and slack time. List the critical activities, and determine the expected duration of the project.

a.	Activity-on-arrow diagram

Summary:
Activity	ES	EF	LF	LS	Slack
1–2	[removed]	[removed]	[removed]	[removed]	[removed]
2–4	[removed]	[removed]	[removed]	[removed]	[removed]
4–7	[removed]	[removed]	[removed]	[removed]	[removed]
7–10	[removed]	[removed]	[removed]	[removed]	[removed]
10–12	[removed]	[removed]	[removed]	[removed]	[removed]
2–5	[removed]	[removed]	[removed]	[removed]	[removed]
5–8	[removed]	[removed]	[removed]	[removed]	[removed]
8–10	[removed]	[removed]	[removed]	[removed]	[removed]
1–3	[removed]	[removed]	[removed]	[removed]	[removed]
3–6	[removed]	[removed]	[removed]	[removed]	[removed]
6–9	[removed]	[removed]	[removed]	[removed]	[removed]
9–11	[removed]	[removed]	[removed]	[removed]	[removed]
11–12	[removed]	[removed]	[removed]	[removed]	[removed]

b.	Activity-on-node diagram

Summary:
Activity	ES	EF	LF	LS	Slack
1	[removed]	[removed]	[removed]	[removed]	[removed]
2	[removed]	[removed]	[removed]	[removed]	[removed]
3	[removed]	[removed]	[removed]	[removed]	[removed]
4	[removed]	[removed]	[removed]	[removed]	[removed]
5	[removed]	[removed]	[removed]	[removed]	[removed]
6	[removed]	[removed]	[removed]	[removed]	[removed]
7	[removed]	[removed]	[removed]	[removed]	[removed]
8	[removed]	[removed]	[removed]	[removed]	[removed]
9	[removed]	[removed]	[removed]	[removed]	[removed]

Activity	Immediate Predecessor	Estimated Time (days)
A	—	15
B	A	12
C	B	6
D	B	5
E	C	3
F	—	8
G	F	8
H	F	9
I	G	7
J	H	14
K	J	6
End	D, E, I, K

Summary:
Activity	ES	EF	LF	LS	Slack
A	[removed]	[removed]	[removed]	[removed]	[removed]
B	[removed]	[removed]	[removed]	[removed]	[removed]
C	[removed]	[removed]	[removed]	[removed]	[removed]
E	[removed]	[removed]	[removed]	[removed]	[removed]
D	[removed]	[removed]	[removed]	[removed]	[removed]
F	[removed]	[removed]	[removed]	[removed]	[removed]
G	[removed]	[removed]	[removed]	[removed]	[removed]
I	[removed]	[removed]	[removed]	[removed]	[removed]
H	[removed]	[removed]	[removed]	[removed]	[removed]
J	[removed]	[removed]	[removed]	[removed]	[removed]
K	[removed]	[removed]	[removed]	[removed]	[removed]

QUANTITIES

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