Q4

Solve Fast and Correctly

especially Part B

b) The Shanghai Textile Mill was inspected and found to be in violation of a number of safety regulations. The inspectors ordered the mill to alter some existing machinery to make it safe and relocate some machinery to make safer passages and unobstructed entrances and exits. The inspectors 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: Time Estimates (Weeks) Activity Predecessor b Description a a 4 Order new machinery 1 b Plane new layout Determine safety changed ... d Receive equipment a Hire new employees a f Make plant alterations b . g Make changes in existing machines h Train new employees d, e i Install new equipment d, e, f j Relocate old machinery d, e, f, g k h, i, j 2 Conduct employee safety 3 Construct the PERT network for this project and determine the following: i. Expected activity times. Earliest and latest activity times, and activity slack. Critical path. Expected project duration and variance. The probability that the mill would be fined $300,000. ii. iii. iv. V. 2 1 5 3 10 7 2 2 4 EN m 2 5 3 10 LO 7 15 9 4 4 7 8 7 23 00 12 18 11 7 669 10 [8 Marks]