MGT 455 WEEK 2 Discussion Problem set 2 3.7 Task time estimates for the modification of an assembly line at Jim Goodale- Carbondale, Illinois, factory are as follows: ACTIVITY TIME IMMEDIATE (IN HOURS) PREDECESSORS A 6.0 - B 7.2 - C 5.0 A D 6.0 B, C E 4.5 B, C F 7.7 D G 4.0 E, F a) Draw the project network using AON. b) Identify the critical path. c) What is the expected project length? 3.15 The following is a table of activities associated with a project at RafayIshfaq- software firm in Chicago, their durations, and what activities each must precede: ACTIVITY DURATION (WEEKS) PRECEDES A (start) 1 B, C B 1 E C 4 F E ` 2 F F (end) 2  a) Draw an AON diagram of the project, including activity durations. b) Define the critical path, listing all critical activities in chronological order. c) What is the project duration (in weeks)? d) What is the slack (in weeks) associated with any and all noncritical paths through the project? 3.17 Bill Fennema, president of Fennema Hospitality, has developed the tasks, durations, and predecessor relationships in the following table for building new motels. Draw the AON network and answer the questions that follow. ACTIVITY IMMEDIATE TIME ESTIMATES (IN WEEKS) PREDECESSOR(S) OPTIMISTIC MOST LIKLEY PESSIMISTIC A - 4 8 10 B A 2 8 24 C A 8 12 16 D A 4 6 10 E B 1 2 3 F E, C 6 8 20 G E, C 2 3 4 H F 2 2 2 I F 6 6 6 J D, G, H 4 6 12 K I, J 2 2 3 c) Based on the calculation of estimated times, what is the critical path? d) What is the estimated time of the critical path? e) What is the activity variance along the critical path? f) What is the probability of completion of the project before week 36? PX