Introduction
Chadwick Construction Company has had a significant increase in demand over recent years and has encountered multiple project management problems during this time. As a result, CCC’s general manager is considering the possibility of hiring a project manager for project scheduling and keeping track of the progress of subcontractors at work sites. CCC management is interested in knowing the expected completion time for a house if a project manager were to be hired. The following analysis will illustrate the need for a project manager and provide a recommendation as to whether one would be beneficial to the company or not.
Analysis
Table 1 shows the most likely, optimistic, pessimistic, and expected activity completion times based on records of the last 40 homes built by each of the subcontractors for CCC. Table 1. Task List for Building a Home
Task Description Predecessor(s) Most optimistic (a) MostLikely (m) Most pessimistic(b) Expected Completion Time
-3683017780
Variance
SD
√σ2
A Excavation - 4 5 6 5 0.111111 0.33
B Concrete A 7 11.5 13 11 1 1
C Sewer & Water A 3.5 5 6.5 5 0.25 0.5
D Rough Plumbing C,E 2.5 5 13.5 6 3.361111 1.83
E Structure B 46 60 68 59 13.44444 3.67
F Roofing & Siding E 14 15.5 20 16 1 1
G Electric E 3.5 5 9.5 5.5 1 1
H Walls & Cabinets D,G 7.5 9.5 11.5 9.5 0.444444 0.67
I Brick Work F 4 7 10 7 1 1
J Outside Finish I 5 6.5 11 7 1 1
K Finish Plumbing H 3.5 5 6.5 5 0.25 0.5
L Inside Finish F,K 5 7.5 13 8 1.777778 1.33
M House Complete A-L 100 107 123.5 111.25 15.34028 3.92
Project Network
Figure 1 illustrates the network of activities for building a house.
Path Analysis
Table 2 shows how long the project will take including the earliest and latest start and finish times and allotted slack times for each activity. Table 3 shows each path of the project in addition to the critical path in which the activities consist of: A) Excavation B) Concrete E)