Question
In: Statistics and Probability
A project has the following activities, precedence relationships, and time estimates in weeks: Activity Immediate...
A project has the following activities, precedence relationships, and time estimates in weeks:
|
Activity |
Immediate Predecessor Activities |
Optimistic Time (to) |
Most Likely Time (tm) |
Pessimistic Time (tp) |
|
A |
— |
15 |
20 |
25 |
|
B |
— |
8 |
10 |
12 |
|
C |
A |
25 |
30 |
40 |
|
D |
B |
15 |
15 |
15 |
|
E |
B |
22 |
25 |
27 |
|
F |
E |
15 |
20 |
22 |
|
G |
D |
20 |
20 |
22 |
a. Compute the expected time and variance for each activity.
b. Determine the critical path and the expected duration of the project.
c. What is the probability that the project will take longer than 56 weeks to complete?
Solutions
orchestra answered 2 years agoRelated Solutions
A project consisting of six activities has the following precedence constraints. Activity Time (weeks) Immediate Predecessors...
A project consisting of six activities has the following
precedence constraints.
Activity
Time (weeks)
Immediate Predecessors
A
3
B
3
A
C
4
A
D
5
A
E
6
C, D
F
2
B, E
Draw the AOA (activities on the arrows) network diagram for this
project
Activity Optimistic Time Estimate (weeks) Most Likely Time Estimates (weeks) Pessimistic Time Estimates (weeks) Immediate Predecessor(s)...
Activity
Optimistic Time Estimate
(weeks)
Most Likely Time Estimates (weeks)
Pessimistic Time Estimates (weeks)
Immediate Predecessor(s)
A
3
6
9
none
B
3
5
7
A
C
4
7
12
A
D
4
8
10
B
E
5
10
16
C
F
3
4
5
D, E
G
3
6
8
D, E
H
5
6
10
F
I
5
8
11
G
J
3
3
3
H, I
A.)Using the information given, construct a network diagram
using AON notation....
The following table represents a project with four activities. All times are in weeks. Activity Immediate...
The following table represents a project with four activities.
All times are in weeks.
Activity
Immediate
Predecessor
Optimistic Time
Most Likely Time
Pessimistic Time
A
-
4
8
16
B
-
7
8
9
C
A
6
10
18
D
B
5
13
18
A. According to the data in the table. What is the critical
path?
B. According to the data in the table, what is the minimum
expected completion time for the project?
C. According to the table...
A construction project is broken down into the following 10 activities: Activity Immediate Pred Weeks A...
A construction project is broken down into the following 10
activities:
Activity
Immediate Pred
Weeks
A
-
6
B
A
3
C
A
4
D
A
2
E
B, C
4
F
C
3
G
D
7
H
E
3
I
F, G
5
J
H, I
7
Please draw the network.
What is the critical path?
How many weeks will it take to complete the project?
How much slack does each of the activities have?
QUESTION A: PLEASE DRAW...
A project for improving a billing process has the following precedence relationships and activity times: Using...
A project for improving a billing process has the following
precedence relationships and activity times: Using the info below
calculate the slack for each activity. Which activities are on the
critical
path?
Activity
Activity Time (weeks)
Immediate Predecessor(s)
A
5
----
B
10
-----
C
6
A
D
14
B, C
E
9
B
F
5
D
G
3
E
H
6
F, G
Use the following project information: Activity Optimistic Time Estimate(weeks) Most Likely Time Estimates (weeks) Pessimistic Time...
Use the following project information:
Activity
Optimistic Time
Estimate(weeks)
Most Likely
Time
Estimates (weeks)
Pessimistic
Time
Estimates (weeks)
Immediate
Predecessor(s)
A
2
7
11
none
B
2
5
9
A
C
4
6
12
A
D
5
6
10
B
E
6
10
17
C
F
3
4
6
D,E
G
3
6
10
D,E
H
5
7
10
F
I
5
8
11
G
J
3
3
3
H,I
(a) Calculate the expected completion time for
this project.
(Round...
Given a simple project illustrated in the following table Activity Immediate Predecessors Time (weeks) 1 -...
Given a simple project illustrated in the following table
Activity
Immediate Predecessors
Time (weeks)
1
-
2
2
-
3
3
1, 2
2
4
3
5
5
3
4
The required project completion time is 12. Assume that
"Activity 1" actually finished at 3 weeks, and "Activity 2"
actually finished at 2 weeks. Given the actual project progress,
what is the LF (lastest time) of "Activity 4"?
The following CPM network has estimates of the normal time in weeks listed for the activities:...
The following CPM network has estimates of the normal time in
weeks listed for the activities:
Activity
Immediate Pred
Weeks
A
-
7
B
A
2
C
A
4
D
B, C
5
E
B, C
2
F
D, E
4
G
F
5
Activity
Normal
Time
Crash
Time
Normal
Cost
Crash
Cost
A
7
6
$7,000
$8,000
B
2
1
5,000
7,000
C
4
3
9,000
10,200
D
5
4
3,000
4,500
E
2
1
2,000
3,000
F
4...
Problem #4 PERT Analysis: Consider the project with the following estimates for activity times and precedence...
Problem #4
PERT Analysis: Consider the project with the
following estimates for activity times and precedence relationships
(be sure to use the triple time estimate). All times are in
days:
Activity
Optimistic
Time
Most
Likely Time
Pessimistic
Time
Immediate
Predecessor(s)
A
3
4
6
---
B
5
7
10
---
C
2
3
11
A
D
2
5
8
B
E
1
7
7
B
F
3
5
7
C, D
G
7
8
9
D, E
H
2
6...
Information on a project’s activities is shown in the following table: Activity Immediate Predecessor Activity Time...
Information on a project’s activities is shown in the following
table:
Activity
Immediate
Predecessor
Activity Time
(wks)
Total Budgeted
Cost
A
-
4
24,000
B
-
3
27,000
C
B
2
14,000
D
A
8
32,000
E
D
3
24,000
F
C, E
4
60,000
G
D
6
30,000
H
F
6
30,000
I
G
4
20,000
J
G, H
3
18,000
K
I
2
10,000
L
J
4
16,000
Create a Gantt chart based on earliest start times. (20...
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