Chapter 3 Project Management 91 Table for 3.8 UOI Time Immediate Code Activity Description (in hours) Predecessor(s) Planning Find location, determine resource requirements 20 None Purchasing Requisition of lumber and sand 60 Planning Excavation Dig and grade 100 Planning Sawing Saw lumber into appropriate sizes 30 Purchasing Placement Position lumber in correct locations 20 Sawing, excavation Assembly Nail lumber together 10 Placement G Infill Put sand in and under the equipment 20 Assembly H Outfill Put dirt around the equipment 10 Assembly I Decoration Put grass all over the garden, landscape, paint 30 Infill, outill Problem 3.7 (continued) a) Draw the appropriate AON PERT diagram for Ed Duplaga's a) Draw the project network using AON. management team. b) Identify the critical path. b) Find the critical path. c) What is the expected project length? c) What is the project completion time? d) Draw a Gantt chart for the project. P 3.8 The City Commission of Nashville has decided to six activities (in hours). For the following estimates of a, m, and b. 3.13 A small renovation of a Hard Rock Cafe gift shop has build a botanical garden and picnic area in the heart of the city for calculate the expected time and the standard deviation for each the recreation of its citizens. The precedence table for all the activi- ties required to construct this area successfully is given on the top of activity: this page. Druw the Gantt chart for the whole construction activity. 3.9 Refer to the table in Problem 3.8. Activity a) Draw the AON network for the construction activity. A 11 15 19 b) Draw the AOA network for the construction activity, B 27 31 41 3.10 The activities needed to build an experimental chemical 18 18 18 contaminant tracking machine at Charlie Cook Corp. are listed in the D 8 13 19 following table. Construct an AON network for these activities E 17 18 20 F 16 19 Immediate 22 Pc Immediate Activity Predecessor(s) Activity Predecessor(s) A E B 3.14 McGee Carpet and Trim installs carpet in commercial F B offices. Andrea McGee has been very concerned with the amount of G CE time it took to complete several recent jobs. Some of her workers H DF are very unreliable. A list of activities and their optimistic comple- 3.11 Charlie Cook (see Problem 3.10) was able to deter- tion time, the most likely completion time, and the pessimistic com mine the activity times for constructing this chemical contaminant pletion time (all in days) for a new contract are given in the tracking machine. Cook would like to determine ES, EF, LS, LF, and following table: slack for each activity. The total project completion time and the crit- ical path should also be determined. Here are the activity times: Time (days) Immediate Time Time Activity a IN b Predecessor(s) Activity (weeks) Activity (wecks) A 3 6 8 A 6 E 4 B 2 4 4 7 F 6 1 2. 3 3 G 10 D 6 7 8 2 H 7 PX E 2 4 6 BD F 6 10 14 3.12 The activities described by the following table are A, E G 1 2 4 A.E given for the Duplaga Corporation: H 3 6 9 F Immediate I 10 11 12 G Activity Predecessor(s) Time J 14 16 20 9 K 2 8 10 HI A 7 A 3 B 6 a) Determine the expected completion time and variance for each E B 9 activity. F 4 b) Determine the total project completion time and the critical path G EF for the project. 6 H D 5 c) Determine Es, EF, LS, LF, and slack for each activity. 1 G, H 3 d) What is the probability that McGee Carpet and Trim will finish the project in 40 days or less? PX U UA CUAL