Draw a network diagram and answer the questions below:
You are the project manager for a new project in the IT department at work and have figured out the following dependencies:
(a) Activity 1 can start immediately and has an estimated duration of 3 units.
(b) Activity 2 can start after activity 1 is completed and has an estimated duration of 3 units.
(c) Activity 3 can start after activity 1 is completed and has an estimated duration of 6 units.
(d) Activity 4 can start after activity 2 is completed and has an estimated duration of 8 units.
(e) Activity 5 can start after activity 4 is completed and after activity 3 is completed and this activity takes 4 units.
I. Draw this activity follow and their dependencies.
II. Answer the following questions:
a. What is the duration of the critical path?
b. What is the float of activity 3?
c. What is the float of activity 2?
d. What is the float of the path with the longest float?
e. The resource working on activity 3 is replaced with another resource who is less experienced. The activity will now take 10 units. How will this affect the project? Explain.
f. After some additional arguing between stakeholders, a new activity 6 is added to the project. It will take 11 units to complete and must be completed before activity 5 and after activity 3. Management is concerned that adding the activity will add 11 units to the project. Another stakeholder argues the time will be less than 11 units. Who is correct? Explain. (Note: begin with the project after Activity 3 has been increased to 10 units as directed in Problem 3, Question II(e) above.)
Problem Four:
Considering the following data:
Activity Preceding Activity Estimated in Units
Start 0
D Start 4
A Start 6
F D, A 7
E D 8
G F, E 5
B F 5
H G 7
C H 8
End C, B 0
Answer the following questions:
(a) What is the duration of the critical path?
(b) What is the float of activity B?
(c) What is the float of activity E?
(d) What is the float of activity D?