Question 1: Consider the tasks, durations, and predecessor relationships in the following network. Draw the AON 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
|
4
|
8
|
12
|
|
J
|
I
|
1
|
2
|
3
|
a. Schedule the activities of this project and determine (i) the expected project completion time, (ii) the earliest and latest start and finish times, and the slack for all the activities, and (iii) all the critical paths.
b. What is the probability of completion of the project before week 35?
c. With 99% confidence what is your estimate for the project completion time.
Question 2:
|
Activity
|
Immediate
Predecessor(s)
|
Immediate
Successor(s)
|
Normal Time
(Weeks)
|
Crash Time
(Weeks)
|
Crash cost per week
|
|
A
|
-
|
|
7
|
4
|
6000
|
|
B
|
-
|
|
8
|
5
|
8000
|
|
C
|
A
|
|
9
|
7
|
15000
|
|
D
|
A, B
|
|
8
|
|
|
|
E
|
B
|
|
9
|
8
|
2000
|
|
F
|
C
|
|
10
|
8
|
17000
|
|
G
|
D, E
|
|
5
|
|
|
|
H
|
E
|
|
10
|
8
|
4000
|
|
I
|
F, G
|
|
5
|
4
|
7000
|
1. Please show me how to arrive a the successors.
2. Indirect project cost is $9000 per week. The project is due after 28 weeks. Late penalty after that is $4000 per week.
a. Draw a AON network and determine the slack for each activity and the critical path.
b. Please do a complete crashing schedule and show me how to do it step-by-step. (ex. Step 1, Step 2, etc)