Problem 1. The following data were obtained from an in-house MIS project
Activity Duration Predecessors
A 3 Days ---
B 6 Days ---
C 3 Days B
D 2 Days A
E 3 Days C,D
F 2 Days A
G 4 Days F
H 7 Days B
I 2 Days C,D
J 4 Days H,I
K 8 Days H,I
L 5 Days E,G,J
a) What are the critical path activities?
b) What is the project's scheduled completion time?
c) What is the slack or float for Activity C? Show your calculations.
d) What is the slack or float for Activity F? Show your calculations.
e) What is the slack or float for Activity E? Show your calculations.
f) What is the slack or float for Activity J? Show your calculations.
Problem 2. A project to remodel an office area has the following activities.
|
Activity
|
Duration
|
Predecessors
|
|
A
|
3 months
|
---
|
|
B
|
2 months
|
---
|
|
C
|
3 months
|
---
|
|
D
|
4 months
|
A, B
|
|
E
|
3 months
|
A
|
|
F
|
2 months
|
B, C
|
|
G
|
2 months
|
F
|
|
H
|
1 month
|
G
|
|
I
|
4 months
|
D, E, F
|
|
J
|
5 months
|
H
|
a) What are the critical path activities?
b) What is the project's scheduled completion time?
c) What is the slack or float for Activity B? Show your calculations.
d) What is the slack or float for Activity D? Show your calculations.
e) What is the slack or float for Activity F? Show your calculations.
f) What is the slack or float for Activity I? Show your calculations.
Problem 3. Information from a room addition project:
|
|
Duration
|
Predecessors
|
|
|
A
|
2 wks
|
|
|
|
B
|
3 wks
|
|
|
|
C
|
5 wks
|
|
|
|
D
|
7 wks
|
A
|
|
|
E
|
3 wks
|
B
|
|
|
F
|
2 wks
|
C
|
|
|
G
|
4 wks
|
F
|
|
|
H
|
1 wk
|
A
|
|
|
I
|
8 wks
|
D, E, G
|
|
|
J
|
5 wks
|
F
|
|
|
K
|
2 wks
|
D, E, G, H
|
|
|
|
|
|
|
a) What are the critical path activities?
b) What is the project's scheduled completion time?
c) What is the slack or float for Activity A? Show your calculations.
d) What is the slack or float for Activity F? Show your calculations.
e) What is the slack or float for Activity H? Show your calculations.
f) What is the slack or float for Activity K? Show your calculations.
Problem 4. InformAtion from a site renovation project
Task Duration Predecessors
A 2 wks _
B 5 WKS A
C 3 WKS B
D 15 WKS B
E 8 WKS C
F 10 WKS C
G 2 WKS D
H 6 WKS E, F, G
I 5 WKS H
a) What are the critical path activities?
b) What is the project's scheduled completion time?
c) What is the slack or float for Activity C? Show your calculations.
d) What is the slack or float for Activity F? Show your calculations.
e) What is the slack or float for Activity I? Show your calculations.
f) What is the slack or float for Activity K? Show your calculations.