Given the activities of a project; their optimistic (t.), most likely (t) and pessimistic (tp) time estimates; and their immediate predecessors shown below: 1. When is the earliest project completion? 2. Which activities are critical (should not be delayed)? 3. Which activities are noncritical (can be delayed)? 4. How long can each of the activities be delayed without delaying the whole project (maximum slack)? Activities A B с D E F G H I J Immediate Predecessors - A A с E G B, D F, H, I to 1 4 2 4 Activity Times, months 1 3 7 6 1 13 4 7 2 6 3 5 10 7 1 16 13 16 2 14 5 13 13 14 1 25 t. Maximum Slack, months

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.EA: Extended Application Estimating Depletion Dates For Minerals
Problem 4EA
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Given the activities of a project; their optimistic (t.), most likely (t-) and pessimistic
(t,) time estimates; and their immediate predecessors shown below:
1. When is the earliest project completion?
2. Which activities are critical (should not be delayed)?
3. Which activities are noncritical (can be delayed)?
4. How long can each of the activities be delayed without delaying the whole
project (maximum slack)?
Immediate
Activity Times, months
Maximum Slack,
Activities
Predecessors
months
to
1
to
13
t.
A
4
B
A
4
16
A
D
4
14
E
1
3
7
F
E
13
G
10
13
H
6.
14
B, D
F, H, I
I
1
1
J
13
16
25
263597-
Transcribed Image Text:Given the activities of a project; their optimistic (t.), most likely (t-) and pessimistic (t,) time estimates; and their immediate predecessors shown below: 1. When is the earliest project completion? 2. Which activities are critical (should not be delayed)? 3. Which activities are noncritical (can be delayed)? 4. How long can each of the activities be delayed without delaying the whole project (maximum slack)? Immediate Activity Times, months Maximum Slack, Activities Predecessors months to 1 to 13 t. A 4 B A 4 16 A D 4 14 E 1 3 7 F E 13 G 10 13 H 6. 14 B, D F, H, I I 1 1 J 13 16 25 263597-
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