Project Management
Question 1:
Sid Davidson is the personnel director of Babson and Willcount, a company that specializes in consulting and research. One of the training programs that Sid is considering for the middle-level managers of Babson and Willcount is leadership training. Sid has listed a number of activities that must be completed before a training program of this nature could be conducted. The activities and immediate predecessors appear in the following table:
| ACTIVITY |
IMMEDIATE PREDECESSORS |
| A |
- |
| B |
- |
| C |
- |
| D |
B |
| E |
A, D |
| F |
C |
| G |
E, F |
| ACTIVITY |
TIME (DAYS) |
| A |
2 |
| B |
5 |
| C |
1 |
| D |
10 |
| E |
3 |
| F |
6 |
| G |
8 |
|
35 |
(a) Develop a network for this problem.
(b) He would like to determine the total project completion time and the critical path. The activity times appear in the following table.
Question 2: Jean Walker is making plans for spring break at the beaches in Florida. In applying techniques she learned in her quantitative methods class, she has identified the activities that are necessary to prepare for her trip. The following table lists the activities and the immediate predecessors.
| ACTIVITY |
IMMEDIATE PREDECESSORS |
| A |
- |
| B |
- |
| C |
A |
| D |
B |
| E |
C, D |
| F |
A |
| G |
E, F |
| ACTIVITY |
TIME(DAYS) |
| A |
3 |
| B |
7 |
| C |
4 |
| D |
2 |
| E |
5 |
| F |
6 |
| G |
3 |
(a) Draw the network for this project.
(b) Find the earliest, latest, and slack times for each activity. Then find the critical path.
Question 3. Monohan Machinery specializes in developing weed-harvesting equipment that is used to lear small lakes of weeds. George Monohan, president of Monohan Machinery, is convinced that harvesting weeds is far better than using chemicals to kill weeds. Chemicals cause pollution, and the weeds seem to grow faster after chemicals have been used. George is contemplating the construction of a machine that would harvest weeds on narrow rivers and waterways. The activities that are necessary to build one of these experimental weed-harvesting machines are listed in the following table.
| ACTIVITY |
IMMEDIATE PREDECESSORS |
| A |
- |
| B |
- |
| C |
A |
| D |
A |
| E |
B |
| F |
B |
| G |
C, E |
| H |
D, E |
| ACTIVITY |
TIME(weeks) |
| A |
6 |
| B |
5 |
| C |
3 |
| D |
2 |
| E |
4 |
| F |
6 |
| G |
10 |
| H |
7 |
(a) Construct a network for these activities.
(b) Determine ES,EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined.
Question 4. Tom Schriber, a director of personnel of Management Resources, Inc., is in the process of designing a program that its customers can use in the job-finding process. Some of the activities include preparing resumés, writing letters, making appointments to see prospective employers, researching companies and industries, and so on. Some of the information on the activities is shown in the following table:
|
ACTIVITY
|
|
DAYS
|
|
IMMEDIATE
PREDECESSORS
|
|
a
|
m
|
b
|
|
A
|
8
|
10
|
12
|
-
|
|
B
|
6
|
7
|
9
|
-
|
|
C
|
3
|
3
|
4
|
-
|
|
D
|
10
|
33
|
33
|
A
|
|
E
|
6
|
7
|
8
|
C
|
|
F
|
9
|
10
|
11
|
B, D, E
|
|
G
|
6
|
7
|
10
|
B, D, E
|
|
H
|
14
|
15
|
16
|
F
|
|
I
|
10
|
11
|
13
|
F
|
|
J
|
6
|
7
|
8
|
G, H
|
|
K
|
4
|
7
|
8
|
I, J
|
|
l
|
1
|
2
|
4
|
G, H
|
(a) Construct a network for this problem.
(b) Determine the expected time and variance for each activity.
(c) Determine ES, EF, LS, LF, and slack for each activity.
(d) Determine the critical path and project completion time.