WARM UP
QUESTION #1) 0 10 1
−3 3−6 6
a) 3 3−6 6
b) −3 −26 −5
c) 0 10 1
d) 0 00 0
4.3
Matrix Application
MDM
OBJECTIVES
Use matrix operations to answer problems in a real
world context
MATRICES APPLICATION
Matrices can be used in various situations in business
and economics to represent data.EXAMPLE: Annual productions of two branches selling three types of items.
2000 2876 23147542 3214 2969
BRANCH ITEM A ITEM B ITEM C
I
II
MATRICES APPLICATION
The unit cost of transportation of an item from each
of the three factories to each of the four
warehouses can be represented in a matrix.
Explain the meaning of the
data in Row 2.
MATRICES APPLICATION ANSWERS
Explain the meaning of the
data in Row 2.
It cost $22 to ship from Factory II to Warehouse 1.
It cost $26 to ship from Factory II to Warehouse 2.
It cost $11 to ship from Factory II to Warehouse 3.
It cost $19 to ship from Factory II to Warehouse 4
MATRICES APPLICATION
QUESTION #2
Which factory should ship to Warehouse 2?
a) I
b) II
c) III
d) doesn’t matter
MATRICES APPLICATION
QUESTION #2
Which factory should ship to Warehouse 2?
a) I
b) II
c) III
d) doesn’t matter
MATRICES APPLICATION
The quarterly sales of Jute, Cotton, and Yarn for the year 2002 and 2003 are given below.
Find the total quarterly sales of Jute, Cotton, and Yarn for two years.
MATRICES APPLICATION ANSWERS
Find the total quarterly sales of Jute, Cotton, and Yarn for two years.
20 25 22 2010 20 18 1015 20 15 15
+10 15 20 205 20 18 108 30 15 10
=20 + 10 25 + 15 22 + 20 20 + 2010 + 5 20 + 20 18 + 18 10 + 1015 + 8 20 + 30 15 + 15 15 + 10
=30 40 42 4015 40 36 2023 50 30 25
MATRICES APPLICATION
You need to calculate the final grade of the three
students listed below.
Create a matrix representing the students and their
average category numbers.
MATRICES APPLICATION ANSWERS
Create a matrix representing the students and their
average category numbers.
92 100 89 8072 85 80 7588 78 85 92
MATRICES APPLICATION
You need to calculate the final grade of the three
students listed below.
Create a matrix representing the weight of the
categories.
MATRICES APPLICATION ANSWERS
Create a matrix representing the weight of the
categories.
.4.15.25.2
MATRICES APPLICATION
You need to calculate the final grade of the three students listed below.
Using their category test average and the grade weight of each category, find the final grades for each student. HINT: Multiply
MATRICES APPLICATION ANSWERS
Using their category test average and the grade weight of each category, find the final grades for each student.
92 100 89 8072 85 80 7588 78 85 92
×
.4.15.25.2
=92 × .4 + 100 × .15 + 89 × .25 + 80 × .272 × .4 + 85 × .15 + 80 × .25 + 75 × .288 × .4 + 78 × .15 + 85 × .25 + 92 × .2
=90.0576.5586.55
OBJECTIVES
Use matrix operations to answer problems in a real
world context
HOMEWORK
Assignment 4.3
EDPuzzle 4.3
Quick Check
QUESTION #3
How are you feeling about your matrix
understanding?
Test Next time
Quick Check
As an avid reader you keep a record of all readings done in June, July, and August.
5) Find the total number of each type of book/magazine read over those three months.