MBA
624Name: Yonatan Balin
Skill
Builder #2
1.
General Foundry, Inc., a metal works plant in
Milwaukee, has long been trying to avoid the expense of installing air
pollution control equipment. The local environment protection group has
recently given the foundry 16 weeks to install a complex air filter system on
its main smokestack. General Foundry has been warned that it may be forced to
close unless the device installed in the allotted period. Lester Harky, the
managing partner, wants to make sure that installation of the filtering system
progressed smoothly and on time.
General Foundry has identified the following eight
activities that need to be performed and their sequential relationship.
Activity
Description
Time
(weeks)
Immediate
Predecessors
A
Build internal components
2
—
B
Modify roof and floor
4
—
C
Construct collection stack
2
A
D
Pour concrete and install frame
4
A, B
E
Build high-temperature burner
4
C
F
Install pollution control system
3
C
G
Install air pollution device
5
D, E
H
Inspect and test
2
F, G
Construct
the appropriate network diagram. (10 points)
Which jobs can be delayed without delaying the project
completion time? (10 points)
Can
General Foundry complete the project on time? Why or why not? (20 points)
Suppose
Lester wants to shorten the completion time and his options are:
(1)Reduce activity D by one week, which costs $700/week;
(2)Reduce activity E by one week, which costs $800/week;
(3)Reduce activity G by one week, which costs $1000/week;
If General Foundry will save $2000 for each week that the
earliest completion time is reduced, which single option, if any, should Lester
choose? (10 points)
2.
The following table
represents a plan for a project:
Time Estimates (days)
Job No.
Predecessor Job(s)
Optimistic
Most likely
Pessimistic
A
–
1
2
3
B
–
2
3
4
C
A
4
5
6
D
B
8
9
10
E
C, D
2
5
8
F
D
4
5
6
G
E
1
2
3
Construct
the appropriate network diagram. (10 points)
What
is the critical path? (10 points)
What
is the expected completion time for the project and what is the variance
of project completion time? (20 points)
Is
the probability that the project will take less than 18 days to complete
larger than 50% or smaller than 50%? (10 points)
skill_builder_2_s16.docMBA 624
Name: Yonatan Balin
Skill Builder #2
1. General Foundry, Inc., a metal works plant in Milwaukee, has long been
trying to avoid the expense of installing air pollution control equipment. The
local environment protection group has recently given the foundry 16 weeks
to install a complex air filter system on its main smokestack. General
Foundry has been warned that it may be forced to close unless the device
installed in the allotted period. Lester Harky, the managing partner, wants to
make sure that installation of the filtering system progressed smoothly and
on time.
General Foundry has identified the following eight activities that need to be
performed and their sequential relationship.
Activity
Description
A
B
C
D
E
F
G
H
Build internal components
Modify roof and floor
Construct collection stack
Pour concrete and install frame
Build high-temperature burner
Install pollution control system
Install air pollution device
Inspect and test
Time
(weeks)
2
4
2
4
4
3
5
2
Immediate
Predecessors
–A
A, B
C
C
D, E
F, G
a. Construct the appropriate network diagram. (10 points)
b. Which jobs can be delayed without delaying the project completion time? (10
points)
c. Can General Foundry complete the project on time? Why or why not? (20
points)
d. Suppose Lester wants to shorten the completion time and his options are:
(1) Reduce activity D by one week, which costs $700/week;
(2) Reduce activity E by one week, which costs $800/week;
(3) Reduce activity G by one week, which costs $1000/week;
If General Foundry will save $2000 for each week that the earliest
completion time is reduced, which single option, if any, should Lester choose?
(10 points)
2. The following table represents a plan for a project:
Time Estimates (days)
Job No. Predecessor
Optimistic
Most likely
Job(s)
A
1
2
B
2
3
C
A
4
5
D
B
8
9
E
C, D
2
5
F
D
4
5
G
E
1
2
Pessimistic
3
4
6
10
8
6
3
a. Construct the appropriate network diagram. (10 points)
b. What is the critical path? (10 points)
c. What is the expected completion time for the project and what is the
variance of project completion time? (20 points)
e. Is the probability that the project will take less than 18 days to complete
larger than 50% or smaller than 50%? (10 points)
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