BANKING The numbers of three types of bank accounts on January
1
at the Central Bank and its branches are represented by matrix
A
:
Checking
accounts
Savings
accounts
Fixed-
deposit
accounts
A
=
Main
office
Westside
branch
Eastside
branch
[
2820
1030
1170
1470
520
540
1120
480
460
]
The number and types of accounts opened during the first quarter are represented by matrix
B
, and the number and types of accounts closed during the same period are represented by matrix
C
. Thus,
B
=
[
260
120
110
140
60
50
120
70
50
]
and
C
=
[
120
80
80
70
30
40
60
20
40
]
a. Find matrix
D
, which represents the number of each type of account at the end of the first quarter at each location.
b. Because a new manufacturing plant is opening in the immediate area, it is anticipated that there will be a
10
%
increase in the number of accounts at each location during the second quarter. Write a matrix
E
=
1.1
D
to reflect this anticipated increase.