expense of installing air pollution control equipment. The local environmental protection group has recently given the foundry 16 weeks to install a complex air-filter system on its main smokestack. Schware Foundry was warned that it will be forced to close unless the device is installed in the allotted period. Kimberley Headley wants to make sure the installation of the filtering system progresses smoothly and on time. All activities involved in the foundry project are shown in the Table 1 and Table 1.1. i) What is the probability that the project can be completed within 16 weeks?  ii) What information did PERT (three time estimate) provide Schware?

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Schware Foundry, Inc., a metal works plant in Tucker Valley Park, Macoya, has long been trying to avoid the expense of installing air pollution control equipment. The local environmental protection group has recently given the foundry 16 weeks to install a complex air-filter system on its main smokestack. Schware Foundry was warned that it will be forced to close unless the device is installed in the allotted period. Kimberley Headley wants to make sure the installation of the filtering system progresses smoothly and on time. All activities involved in the foundry project are shown in the Table 1 and Table 1.1.

i) What is the probability that the project can be completed within 16 weeks? 

ii) What information did PERT (three time estimate) provide Schware? 

АCTIVITY
DESCRIPTION
IMMEDIATE
PREDECESSORS
A
Build internal components
Modify roof and floor
Construct collection stack
Pour concrete and install frame
В
C
A
D
В
Build high-temperature burner
Install control system
Install air pollution device
Inspection and testing
E
C
F
C
D, E
F, G
G
H
Table 1 Activities and Immediate Predecessors for Schware
Activity
Optimistic Time Pessimistic Time
Most Likely Time
A
1
3
2
B
2
4
3
C
1
2
D
6.
4
E
1
7
4
F
1
9.
2
G
3
11
4
H
1
3
2
Table 1.1 Time Estimates (in weeks) for Schware
3.
Transcribed Image Text:АCTIVITY DESCRIPTION IMMEDIATE PREDECESSORS A Build internal components Modify roof and floor Construct collection stack Pour concrete and install frame В C A D В Build high-temperature burner Install control system Install air pollution device Inspection and testing E C F C D, E F, G G H Table 1 Activities and Immediate Predecessors for Schware Activity Optimistic Time Pessimistic Time Most Likely Time A 1 3 2 B 2 4 3 C 1 2 D 6. 4 E 1 7 4 F 1 9. 2 G 3 11 4 H 1 3 2 Table 1.1 Time Estimates (in weeks) for Schware 3.
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