Project Management Assignment 1) Given the information given in the table before for a project, answer the following questions. a) Calculate the expected activity times (roundup to the nearest integer). b) Calculate the slack (also known as Total Slack) for each activity. What is the project's total length? Make sure you fully label all nodes in the network. c) Identify the critical path. What are the alternative paths. d) Given the activity variances, what is the likelihood of the critical path of the project in 29 weeks? e) What is the probability that the project will be completed in 29 Week? f) Suppose you want to be 99% sure the project will finish on time. How many additional weeks would your project team need to ensure this likelihood? g) Assume that a project penalty kicks in after 28 weeks. The penalty charged is $5,000 per week after 28 weeks. How would this information affect your decision to crash the project? Time Estimates (Week) Immediate Processors Max crashing Allowed (activity duration reduction) Pessimistic Activity Optimistic Most Likely AI 1 1 2 6 1 10 14 A Extra Cost of crashing $ 4,000 $ 3,000 $ 5,500 $ 4,000 $ 2,500 $ 5,000 $ 2,500 D 6 8 14 16 8 2 5 L E, FI