Q12.12
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
|
Develop a network for this problem.
Q12.13
Sid Davidson was able to determine the activity times for the leadership training program. He would like to determine the total project completion time and the critical path. The activity times appear in the following table (see Problem 12.12):
|
Activity
|
Time (Days)
|
|
A
|
2
|
|
B
|
5
|
|
C
|
1
|
|
D
|
10
|
|
E
|
3
|
|
F
|
6
|
|
G
|
8
|
|
|
35
|
Q12.16
Monohan Machinery specializes in developing weed-harvesting equipment that is used to clear 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. Construct a network for these activities.
|
Activity
|
Immediate Predecessors
|
|
A
|
--
|
|
B
|
--
|
|
C
|
A
|
|
D
|
A
|
|
E
|
B
|
|
F
|
B
|
|
G
|
C,E
|
|
H
|
D,F
|
Q12.17
After consulting with Butch Rander, George Monhan was able to determine the activity times for constructing the weed-harvesting machine to be used on narrow rivers. George would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. (See Problem 12-16 for details). The activity times are shown in the following table:
|
Activity
|
Time (Weeks)
|
|
A
|
6
|
|
B
|
5
|
|
C
|
3
|
|
D
|
2
|
|
E
|
4
|
|
F
|
6
|
|
G
|
10
|
|
H
|
7
|
Q13.24
Bowman Builders manufactures steel storage sheds for commercial use. Joe Bowman, president of Bowman Builders, is contemplating producing sheds for home use. The activities necessary to build an experimental model and related data are given in the accompanying table.
(a). What is the project completion date?
(b). Formulate an LP problem to crash this project to 10 weeks.(a).
|
Activity
|
Normal Time
|
Crash Time
|
Normal Cost ($)
|
Crash Cost ($)
|
Immediate Predecessors
|
|
A
|
3
|
2
|
1,000
|
1,600
|
-
|
|
B
|
2
|
1
|
2,000
|
2,700
|
-
|
|
C
|
1
|
1
|
300
|
300
|
-
|
|
D
|
7
|
3
|
1,300
|
1,600
|
A
|
|
E
|
6
|
3
|
850
|
1,000
|
B
|
|
F
|
2
|
1
|
4,000
|
5,000
|
C
|
|
G
|
4
|
2
|
1,500
|
2,000
|
D,E
|