Construct the PERT network for this project and determine the follow: Expected activity times and their variances Expected earliest and latest activity times and activity slack Expected critical path

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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9.    The Stone River Textile Mill was inspected by OSHA and found to be in violation of a number of safety regulations. The OSHA inspectors ordered the mill to alter some existing machinery to make it safer (e.g., add some safety guards); purchase some new machinery to replace older, dangerous machinery; and relocate some machinery to make safer passages and unobstructed entrances and exits. OSHA gave the mill only 35 weeks to make the changes; if the changes were not made by then, the mill would be fined $300,000. The mill determined the activities that would have to be completed and then estimated the indicated activity times, as shown in the table below.

Activity  Description Immediate Predecessor(s) Time Estimates (Weeks)
Optimistic Most Likely Pessimistic
a m b
A Order new machinery --- 1 2 3
B Plan new physical plant --- 2 5 8
C Determine safety changes in existing machinery --- 1 3 5
D Receive equipment A 4 10 25
E Hire new employees A 3 7 12
F Make plant alterations B 10 15 25
G Make changes in existing machinery C 5 9 14
H Train new employees D, E 2 3 7
I Install new machinery D, E ,F 1 4 6
J Relocate old machinery D, E, F, G 2 5 10
K Conduct employee safety orientation H, I, J 2 2 2
  1. Construct the PERT network for this project and determine the follow:
  2. Expected activity times and their variances
  3. Expected earliest and latest activity times and activity slack
  4. Expected critical path
  5. Expected project duration and variance
  6. The probability that the mill will be fined $300,000.
  7. Show detail breakdown
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