Using the activity table below, construct a CPM/PERT network noting the activity numbers and durations. Identify the critical path through the network, determine the project completion time, and determine the earliest and latest end dates for each node. Activity Predecessor Time (months) 1 - 10 2 - 1 3 - 6 4 2 3 5 1,3,4 5 6 3 8 7 5,6 2

21. Recently, you were assigned to manage a project to remodel the seminar room for your company. You have constructed a network diagram depicting the various activities in the project (Figure 7.130). In addition, you have asked your team to estimate the amount of time that they would expect each of the activities to take. Their responses are shown in the following table. Activity A B с D E Optimistic Start 5 4 5 2 4 Figure 7.13 Network Diagram for Problem 21 B D TIME ESTIMATES (DAYS) Most Likely 8 8 6 4 7 Finish Pessimistic 11 11 7 6 10 a. What is the expected completion time of the project? b. What is the probability of completing the project in 21 days or less? c. What is the probability of completing the project in 17 days or less?

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A project has activities, durations, costs, and precedence relationships as shown in the following table. Accelerated Duration (Weeks) Immediate Predecessor Path A-C-E A-D-H-I B-F-H-I Activity B-G-I A B с D E F GJ H I Present Duration (Weeks) Project is reduced from Activity Crashed (1 week) Additional Cost for Crashing 8 13 8 18 13 15 10 7 5 $ to B B 7 I 11 4 16 8 13 8 6 4 $14,000 Develop a time-cost trade-off analysis. Detail the steps that you would use to accelerate or crash the project to its minimum duration at the lowest cost. Determine each step's cost and the duration of the project. Length of Path (weeks) H D, F A weeks at an additional cost (in $) of $ A U B B D, F G, H Present Cost D, F $11,000 $20,000 $9,000 $25,000 $20,000 $20,000 $15,000 $12,000 $10,000 Accelerated Cost $16,000 $26,000 $21,000 $29,000 $34,000 $31,000 $24,000 $17,000