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Project Management Questions and Group Project

Part 1: AON (40 points)

AON (Activity on Node) Network diagram using the most likely duration from the table below. The network should only use and show defined precedence relationships. Indicate the critical path and calculate the duration of the project. The AON diagram should show the task predecessors and the ES, EF, LS, LF, TS, FF times in a manner similar to the example from the lecture. Note, however, that you are requested to draw the diagram with Most Likely Durations, and thus you may omit the expected time
and variance. Also note that network diagrams show durations, not calendar days.

All duration are in Weeks Image 1

You may draw by hand or draw with software such as MS Word, Visio or PowerPoint. You are not allowed to use scheduling software and are limited to a total of two pages.

Program Evaluation and Review Technique (PERT)

• The critical path is A-B-D-G-I-K-L-M


• Assumption is to only calculate numbers for critical path.


• For #3-9, provide conclusion statement in plain English.

1) Expected time using 3-point estimates per each activity (A to M).


2) At 99%, 95% and 90% confidence level:


a. Variance per each activity.


b. Standard deviation per each activity.


c. Total duration for the critical path.


d. Total variance for the critical path.


e. Total Standard deviation for the critical path.


3) With the desired project given time of 28 days, what is the probability of meeting completion date at 99%, 95% and 90% confidence level?


4) With the desired project given time of 30 days, what is the probability of meeting completion date at 99%, 95% and 90% confidence level?


5) With the desired project given time of 25 days, what is the probability of meeting completion date at 99%, 95% and 90% confidence level?


6) With the desired project given time of 35 days, what is the probability of meeting completion date at 99%, 95% and 90% confidence level?


7) With the desired project given time of 24 days, what is the probability of meeting completion date at 99%, 95% and 90% confidence level?


8) With the desired project given time of 32 days, what is the probability of meeting completion date at 99%, 95% and 90% confidence level?


9) What is the duration to be used if 99% probability that the duration will not be exceed at 99% confidence level? What will be the contingency reserves in this case?

• Three team members are being considered for an assignment. Your subject matter expert estimated that the task will take 90 effort hours for an individual with average productivity.


• The following resource matrix provides individual productivity, availability, and unit cost for the team members.

1) Calculate the cost and duration for each person to accomplish the task.


2) If cost is the primary consideration, who should be assigned to the task?


3) If schedule is the primary consideration, who should be assigned to the task?

Solve this resource scheduling problem with the series method. The resource limits are as follows: 4C and 3L.

Series Method Image

Solve the following resource (R) leveling problem.

resource (R) leveling problem Image

EVM Image

• There are 12 activities and each activity’s cost has been estimated as shown above.


• Blue highlighted cells show when the activities are scheduled.


• Green highlighted cells show how much work has been actually completed for the activities.


• Project status date is after 3.5 months from the start date.


• Actual Cost at the status date is $152,000


Questions: Calculate the followings and provide conclusion statement in plain English.


1) Current Month, BAC, AC, PV, EV


2) AT, ST


3) CV, SV, CV%, SV%


4) TV


5) CPI, SPI, CSI


6) PC, PPC, Percent Overrun, Burn Rate


7) ETC, EAC, VAC


8) TCPI 

• The purpose of this Group Project is to see how well students understood the materials as a group addressed in the lectures.


• Answer the group project questions in a professionally written paper format.


• Clearly show the calculation steps. Expect deductions when calculation steps are not given.


• Expect 0% if only the answer is given even if the answer is a correct answer.


• Critical:


The only authorized resource for this group project is the reading material and lecture notes. Do not perform an internet search related to this case study. If you used a solution found on the web, you will receive a grade of zero – no tolerance!


Do not work with other groups except for your own group. If you collaborated with other group(s), you will receive a grade of zero – no tolerance!

• Only one student from a group will submit the group project, via the Project section on Blackboard.


• If more than one student submits, there will be a grade deduction. 

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