A project consists of the following seven activities and related time estimates for each activity Pessimistic Days Activity 1-2 1-3 1-4 2-5 3-5 4-6 5-6 Optimistic Days 4 3 4 5 8 4 2 Most likely Days 15 16 7 10 14 11 15 Required: a) Draw a network diagram. b) Calculate the project duration and identify the critical path for the project. 16 19 16 15 20 16 18

12:23 Ill 5G Problem 1 The following table gives expected times and variances for a probabilistic duration type of project (we are not given and we don't need the optimistic, most likely, and pessimistic time estimates). Activity Expected Time Variance A 4 0.44 B 3 0.69 C 7 2.25 D 11 2.25 E 4 0.11 F 9 1.36 G 6 0.44 H 6 0.69 I 7 1.36 J 13 1.00 K 3 0.44

Memorial College is considering building a new multipurpose athletic complex on campus. The following activities would have to be undertaken before construction can begin.   Activity Description ImmediatePredecessor Time(weeks) A Survey building site   7 B Develop initial design   10 C Obtain board approval A, B 13 D Select architect C 3 E Establish budget C 5 F Finalize design D, E 14 G Obtain financing E 11 H Hire contractor F, G 9   (a) Draw a project network.    (b) Identify the critical path.        (c) Develop the activity schedule for the project. Activity EarliestStart LatestStart EarliestFinish LatestFinish Slack A           B           C           D           E           F           G           H             (d) What is the expected completion time for the project?   The expected completion time is            weeks

6. Suppose you are given the following data for a project: Activity Expected Activity Time (in days) ABCDEFGH F 24 24 30 Variance 2.1 2.8 1.8 H What is the probability the project will take less than 80 days? a. 2.5% b. 16% c. 84% d. 97.5% e. 99.85% I Critical Path Z 27 7 N