3. {20 points] Think about a project that you have come across. a. b. What is the project that you were involved in? Create a Work Breakdown Structure (WBS) for the project. Your WBS should include major tasks and sub tasks. Identify the predecessor relationships and draw a project network to show the predecessor relationships. [30 points] The Laurenster Corporation is getting into the construction business. A list ofactivities and their optimistic, most likely, and pessimistic completion times are given in the following table for the next construction project. [ACTIVITY ajdays) m(days) bldaysj IMMEDIATE PREDECESSORS 9' Develop a project network for this problem. Determine the expected duration and variance for each activity. Determine the ES, EF, LS, LF, and slack time for each activity. Also determine the total project completion time and critical path(s). What is the probability that this job will finish in 38 days or less? What is the probability that this job will finish in 35 days or less? What is the probability that this job needs 40 days or more? [30 points] Fred Ridgeway has been given the responsibility of managing a training and development program. He knows the earliest start time, the latest start time, and the total cost for each activity. This information is given in the following table: ACTIVITY ES ACTUAL COST ($1,0005] P'Im'nrncnmb 57 Using earliest start times, determine Fred's total weekly budget. Show weekly budget and cumulative weekly budget. (Show all calculations). Using latest start times, determine Fred's total weekly budget. Show weekly budget and cumulative weekly budget. (Show all calculations). At the end of week 10, the actual costs and percent completed for each activity is given in the table. What is the value of the work completed at the end of week 10? What is the amount of cost overruns or underruns for the project? Use the ES time based weekly budget table. 4. [20 points] Bowman Builders manufactures steel storage sheds for commercial use. Joe Bowman, president of Bowman Builders, is contemplating producing sheds for home use. The activities necessary to build an experimental model and related data are given in the following table: NORMAL CRASH NORMAL CRASH COST iMMEDlATE ACTIVITY TIME TlME COST {$) (S) PREDECESSORS A 3 2 1.000 1.500 a. What is the project completion time? What is the total cost of the project? b. Which activities should be crashed to reduce the project completion time to 10 weeks? Show all work. c. What is the total cost of the project after crashing