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 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 in a PERT network that would have to be completed and then estimated the indicated activity times, as shown in the table below. Construct the PERT network for this project and determine the following:

a. Expected activity times
b. Earliest and latest activity times and activity slack
c. Critical path
d. Expected project duration and variance
e. The probability that the mill will be fined$300,000

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Time Estimates Activity Weeks) Predecessor a m b Activity Description a Order new machinery b c Plannew physical layout Determine safety changes in cxisting machinery d Reccive equipment c Hire new employees f Make plant alterations g Make Changes in 4 10 25 b 0 15 25 cxisting machinery h Train new emplay ees d.c 2 3 7 iInstall new machinery c 6 I Relocate old machinery d.e..g 2 5 10 2 k Conduct employee safety orientation