Project Management Forecasting
Please provide detailed solutions to the following problems/exercises (4 problems/exercises):
1) Draw the network corresponding to the following information. Complete the table, identify the critical path, and specify project completion time.
Activity 
Immediate Predecessor(s) 
Time (Weeks) 
A 
— 
3 
B 
— 
4 
C 
A 
6 
D 
B 
9 
E 
B 
6 
F 
C,D 
6 
G 
D,E 
8 
H 
G,F 
9 
Activity 
Earliest Start 
Earliest Finish 
Latest Start 
Latest Finish 
Slack 
A 





B 





C 





D 





E 





F 





G 





H 





2) Consider the tasks, durations, and predecessor relationships in the following network. Draw the network and answer the questions that follow.
Activity Description 
Immediate Predecessor(s) 
Optimistic (Weeks) 
Most Likely (Weeks) 
Pessimistic (Weeks) 
A 
— 
4 
7 
10 
B 
A 
2 
8 
20 
C 
A 
8 
12 
16 
D 
B 
1 
2 
3 
E 
D, C 
6 
8 
22 
F 
C 
2 
3 
4 
G 
F 
2 
2 
2 
H 
F 
6 
8 
10 
I 
E, G, H 
4 
8 
12 
J 
I 
1 
2 
3 
a. What is the expected time for activity B?
b. What is the variance for activity B?
c. Based on the calculation of estimated times, what is the critical path?
d. What is the estimated time of the critical path?
e. What is the activity variance along the critical path?
f. What is the probability of completion of the project before week 42?
3) Develop forecasts for periods 7 through 10 for the demand data in the table using a three period moving average, a weighted moving average using 0.6, 0.3, and 0.1, and exponential smoothing with alpha = 0.7. Use a 6th period forecast of 135 as the starting point for the exponential smoothing technique.
Period 
Actual 
MA n=3 
WMA 
Exp. Smoothing 
1 
64 



2 
84 



3 
91 



4 
97 



5 
115 



6 
135 



7 
137 



8 
144 



9 
153 



10 
171 



4) Using the data shown in the table, develop a trend line that can be used to predict the demand for time period number 20. What is the prediction equation and what is your forecast for period 20?

Period 
Demand 
Demand2 
Period*Demand 

1 
16 



2 
20 



3 
24 



4 
27 



5 
29 



6 
30 



7 
32 



8 
35 



9 
36 



10 
38 


Sums 
55 
287 


Delivering a highquality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a moneyback guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarismdetection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more