A project has an expected duration of 34 weeks with a critical path variance of 6. Suppose the project network is given and the critical path is identified on the network. Suppose the normal time, crash time, and the associated cost for each activity is given. You have been asked by your supervisor to prepare a research paper that addresses the follow criteria:

- What is the probability that the project will be completed in 32 weeks or less?
- If the project is to be shortened by four days, list the process you would take to determine which activities, in order of reduction, would be shortened and the resulting cost.
- Describe project cost and the requirements for it's determination and application in a production facility.
- Analyze implications of changes in the parameters of project timing and cost determination.
- Evaluate application of project cost and timing concepts on a firm's business operations.

Solution Preview

Project Probability
If the expected duration of project is 34 weeks, then the probability of project will be calculated through following formula:
Z = (Winston & Albright, 2011)
Where, t = 32 weeks
v = variance (6)
Then, Z=
= -0.33
On the basis of cumulative normal probability tables, p [Z ≤ 0.33] =0.3707 (Standard Normal Cumulative Probability Table.
So, to complete the project in 32 weeks is 37%.
The project manager plays an important role in shortening the project schedule. If the project is to be shortened by four days, the project manager should study fast-tracking or shift to advances technology to complete the project. For reducing duration, project manager should list the requirement of labor, equipment and materials for completed tasks. Generally, there are two ways to reduce a project schedule that is task spitting and crashing (Nicholas & Steyn, 2012). In the task splitting, project manager will split down large task into two or more smaller tasks. On the other hand, through crashing method, project manager will add extra resources to a task to increase its ...

Solution Summary

The expert examines project probability with variances given.

Determine the expected completion time and variance for each activity, the expected completion time and variance for the overall project completion time, and answer questions a, b, and c below.
2. Determine the expected completion time and variance for each activity, the expected completion time and variance for the overall p

Using PERT, Harold Benson was able to determine that the expected project completion time for the construction of a pleasure yacht is 22.7 months and the projectvariance is 9.
What is the probability that the project will be completed in 20 months?
What is the probability that the project will be completed in 26 months?

Please help find the following with the data attached:
- Expected duration of activity H
- Variance of activity H time
- Critical path based on expected activity durations
- Probability of completing this path in 22 weeks or less

I am looking for some help on this project management problem.
Since it's difficult to post the information in here please see the attachment.
Example of how it is done below is attached as the PDF's, This is all the data that I was given for the problem. I only attached the examples as the PDF's, the word attachment is the

Using the information provided in the table, the network diagram and the expected project completion time = 39 weeks (see attachment):
The critical path is A-B-D-G-H.
(a) Calculate the probability of completing the project in 36 weeks.
P(project ? 36) =
(b) Calculate the probability of completing the project in 40 w

A project was planned using PERT with three times estimates. The expected completion time of the project was determined to br 40 weeks. The variance of the critical path is 9.
A What is the probability that the project will be finished in 40 weeks or less?
B. What is the probability that the project takes longer than 40 we

One problem attached
There are nine tennis balls in a box, of which only 5 have not previously been used. Four of the balls are chosen randomly from the box....Find the probability distribution, Evaluate the expectation, Evaluate the variance

A project was planned using PERT with three time estimates. The expected completion time of the project was determined to be 40 weeks. The variance of the critical path is 9.
What is the probability that the project will be finished in 46 weeks or less?
A. 2%
B. 73%
C. 98%
D. impossible to determine with this informati

The estimated times and immediate predecessors for the activities in a project at Caesar Douglas' retinal scanning company are given in the following table. Assume that the activity times are independent.
(see chart in attached file)
a) Calculate the expected time and variance for each activity.
b) What is the expected c