Question
In: Statistics and Probability
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 |
10 |
F |
What is the expected duration of the project?
If the deadline of the project is 26 days, what is the probability of finishing the project on time?
Solutions
orchestra answered 11 months agoRelated Solutions
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...
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
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
19. Consider a project consisting of five activities. The immediate predecessors and the activity times are...
19. Consider a project consisting of five activities. The
immediate predecessors and the activity times are summarized as
below:
Activity
Immediate
Predecessor
Activity time (in
days)
A
None
3
B
A
2
C
A
1
D
B, C
3
E
D
4
In CPM, what is the completion time of the project?
A
12 days
B
11 days
C
13 days
20. A forecasting method has produced the following over the
past five months. What is the mean absolute deviation...
4. Analysis of a replacement project At times firms will need to decide if they want...
4. Analysis of a replacement project
At times firms will need to decide if they want to continue to
use their current equipment or replace the equipment with newer
equipment. The company will need to do replacement analysis to
determine which option is the best financial decision for the
company.
Price Co. is considering replacing an existing piece of
equipment. The project involves the following:
•
The new equipment will have a cost of $2,400,000, and it is
eligible for...
4. Analysis of a replacement project At times firms will need to decide if they want...
4. Analysis of a replacement project
At times firms will need to decide if they want to continue to
use their current equipment or replace the equipment with newer
equipment. The company will need to do replacement analysis to
determine which option is the best financial decision for the
company.
Johnson Co. is considering replacing an existing piece of
equipment. The project involves the following:
•
The new equipment will have a cost of $600,000, and it will be
depreciated...
4. Analysis of a replacement project At times firms will need to decide if they want...
4. Analysis of a replacement project At times firms will need to
decide if they want to continue to use their current equipment or
replace the equipment with newer equipment. The company will need
to do replacement analysis to determine which option is the best
financial decision for the company. Price Co. is considering
replacing an existing piece of equipment. The project involves the
following: • The new equipment will have a cost of $600,000, and it
will be depreciated...
4. Analysis of a replacement project At times firms will need to decide if they want...
4. Analysis of a replacement project
At times firms will need to decide if they want to continue to
use their current equipment or replace the equipment with newer
equipment. The company will need to do replacement analysis to
determine which option is the best financial decision for the
company.
Price Co. is considering replacing an existing piece of
equipment. The project involves the following:
•
The new equipment will have a cost of $2,400,000, and it is
eligible for...
Consider the following precedence chart: ACTIVITY PRECEDING ACTIVITIES OPTIMISTIC TIME (days) MOST LIKELY TIME (days) PESSIMISTIC...
Consider the following precedence chart:
ACTIVITY
PRECEDING ACTIVITIES
OPTIMISTIC TIME (days)
MOST LIKELY TIME (days)
PESSIMISTIC TIME (days)
A
-
5
10
15
B
-
10
12
14
C
-
10
10
10
D
B,C
2
4
6
E
A
4
8
12
F
A
4
8
12
G
D,E
10
12
14
I
F
4
8
12
J
G
2
4
6
The total slack for activity C is __________
Consider the following precedence chart: ACTIVITY PRECEDING ACTIVITIES OPTIMISTIC TIME (days) MOST LIKELY TIME (days) PESSIMISTIC...
Consider the following precedence chart:
ACTIVITY
PRECEDING ACTIVITIES
OPTIMISTIC TIME (days)
MOST LIKELY TIME (days)
PESSIMISTIC TIME (days)
A
-
5
10
15
B
-
10
12
14
C
-
10
10
10
D
B,C
2
4
6
E
A
4
8
12
F
A
4
8
12
G
D,E
10
12
14
I
F
4
8
12
J
G
2
4
6
The total slack for activity C is __________
a.
0
b.
2
c.
8
d.
4
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