1) OSHA ordered Mills River Textile company to buy new machinery for a safe environment. OSHA gave 35 weeks to make the changes to the manufacturer. There will a fee of $300,000 if the changes were not made by then. Following is a list of activities, their precedence relationships, and probabilistic time estimates for this project: Activity Description a Order new machinery b Plan new physical layout C Determine safety changes in existing Activity Predecessor Time Estimates (weeks) a 1 2 1 E253 m b 385 machinery 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 i Install new machinery d, e, f 1 j Relocate old machinery d, e, f, g k h, i,j 2 3452 7 6 10 2 Conduct employee safety orientation For this project determine the following: a. Draw the network diagram. Determine ES, LS, EF and LF for each activity. b. What is the variance for each activity? c. What is the critical path and time? d. What is the activity variance along the critical path? e. The probability that the firm will be fined $ 300,000.