SOLVE OF THE FOLLOWING PROBLEMS USING PERT/CPM PRINCIPLES. 1. Project planners have sought the judgment of various knowledgeable engineers, vendors, and foremen and have developed the time estimates for the plant construction project as shown in the table below. Activity Time estimates ( in months) Description Predecessor Optimistic Most Pessimistic likely code Design plant None 12 15 Select site 7 34 Select personnel C 2 5 Select vendor A 3 2 3 Project site B 11 19 Manufacture generator C 14 18 27 prepare manual G C 7 install generator H E, F train operators D. G 7 11 License H, I 5 15 a. Determine the critical path. b. What is the probability that the project will be finished in 4 years? c. What is the probability that it will take more than 50 months? 2. The PERT estimates (in weeks) of a project plan are shown in the following table: a. Calculate the expected completion time. b. What is the probability that the project will be completed within 20 weeks? Activity Immediate M predecessors A None B None un 12 3 n D m C, D m H F. G 4