The input-output matrix for a simplified economy with just four sectors (natural resources, manufacturing, trade and services, and personal consumption) is given below. Suppose the demand (in millions of dollars) matrix is matrix D given below. Find the amount each sector should produce. Natural Resources Manufacturing Trade and Services Personal Consumption Natural Manufacturing Trade and Resources 0.1044 0.0827 0.0867 0.6253 0.0429 0.1088 0.1019 0.3447 Production levels of units from natural resources, and units from personal consumption are needed. (Round to the nearest whole number as needed.) Services 0.0029 0.0584 0.2031 0.6105 Personal Consumption 0.0031 0.0321 0.3556 0.0798 units from manufacturing, D= 450 299 124 101 units from trade and services,

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 68E
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The input-output matrix for a simplified economy with just four sectors (natural resources, manufacturing, trade and
services, and personal consumption) is given below. Suppose the demand (in millions of dollars) matrix is matrix D
given below. Find the amount each sector should produce.
SEP
Natural Resources
Manufacturing
Trade and Services
Personal Consumption
3
View an example Get more help
$
R
F
000
000 F4
%
om/Player/Player.aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles
5
T
Natural Manufacturing Trade and
Resources
Services
0.0029
0.0584
0.2031
0.6105
Production levels of
units from natural resources, units from manufacturing, units from trade and services,
and units from personal consumption are needed.
(Round to the nearest whole number as needed.)
G
0.1044
0.0827
0.0867
0.6253
F5
6
Y
H
▲
F6
0.0429
0.1088
0.1019
0.3447
&
7
U
F7
J
* 00
8
►II
F8
|
K
Personal
Consumption
0.0031
0.0321
0.3556
0.0798
(
9
Clear all
F9
O
D=
0
L
F10
450
299
124
101
Check answer
P
Locale=true#
Message
0:
F11
{
+ 11
[
F12
11
Transcribed Image Text:The input-output matrix for a simplified economy with just four sectors (natural resources, manufacturing, trade and services, and personal consumption) is given below. Suppose the demand (in millions of dollars) matrix is matrix D given below. Find the amount each sector should produce. SEP Natural Resources Manufacturing Trade and Services Personal Consumption 3 View an example Get more help $ R F 000 000 F4 % om/Player/Player.aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles 5 T Natural Manufacturing Trade and Resources Services 0.0029 0.0584 0.2031 0.6105 Production levels of units from natural resources, units from manufacturing, units from trade and services, and units from personal consumption are needed. (Round to the nearest whole number as needed.) G 0.1044 0.0827 0.0867 0.6253 F5 6 Y H ▲ F6 0.0429 0.1088 0.1019 0.3447 & 7 U F7 J * 00 8 ►II F8 | K Personal Consumption 0.0031 0.0321 0.3556 0.0798 ( 9 Clear all F9 O D= 0 L F10 450 299 124 101 Check answer P Locale=true# Message 0: F11 { + 11 [ F12 11
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