# Project Exercise with 11 activities - Judy Kramer - St. John's HospitalCritical Path Example - CPM Method

### Problem Data

It is required to calculate the critical path of the project, using the CPM method according to the following data:

Number of Activities
11
Time Unit
Weeks
Chart Type
Activities-on-Nodes
Description
Project Exercise with 11 activities - Judy Kramer - St. John's HospitalJudy Kramer, the project manager for the St. John’s Hospital project, divided the project into two major modules. She assigned John Stewart the overall responsibility for the Organizing and Site Preparation module and Sarah Walker the responsibility for the Physical Facilities and Infrastructure module. The project team developed the precedence relationships, activity time estimates, and activity responsibilities shown in the table. Calculate the critical path.
Table of Activities
ActivityImmediate Predecessor(s)Time (Weeks)
A12
B9
CA10
DB10
EB24
FA10
GC35
HD40
IA15
JE,G,H4
KF,I,J6

## Solution

The following are the calculations and detailed graphs to obtain the critical path according to the data provided:

### Step 1: Evaluation of the relationships between activities

In order to be able to plot the Network diagram (Activity-on-node), it is necessary to know the precedence and descent relationships of each activity; that is why the following table shows the relationships of each activity so that we can create our graph. Two fictitious “Start” and “End” activities are included.

PredecessorActivitySuccessor
StartAAACAFAI
StartBBBDBE
ACCCG
BDDDH
BEEEJ
AFFFK
CGGGJ
DHHHJ
AIIIK
EJGJHJJJK
FKIKJKKKEnd

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