Basic HTML Version
Q
uantitative
R
easoning &
P
roblem
S
olving
422
© 2014 Pacific Crest
P
lan
How to complete the activity
1. Review the sample application of “Moving Day”
2. Use this same methodology to model the time management associated with “Having a Dinner Party.”
Then provide the ideal schedule for this project.
3. Explain the process for constructing the mathematical model with particular emphasis on the
abstraction of the relationships between time and placement of tasks so that another person can
create their own model.
4. Answer the Critical Thinking Questions.
5. Complete the remainder of this activity (from Demonstrate Your Understanding through Assessing
Your Performance) on your own, or as directed by your instructor.
M
odel(s)
Exemplars and representations
M
odel
1: M
oving
D
ay
Scenario:
An event requires the following tasks to be completed. The times taken to complete each
activity as well as the pre-requisite tasks required to start a given activity is in the following
table.
Task
Time required (hrs)
Prerequisites
Pick Up Truck (PT)
2
Load Truck (LT)
3
PT, PB
Clean (C)
7
Inspection (I)
3
C
Pack Boxes (PB)
4
A directed graph modeling the problem is constructed.
Finish
Start
I
LT
PB
C
PT
The completed schedule indicates an ideal
sequence of tasks when using two people. The
optimal project finishing time is 10 hours.
A P T
P B
L T
B
C
I