The input-output matrix for a simplified economy with just three sectors (natural resources, manufacturing, and trade and services) is given below. Natural Resources Manufacturing Trade and Services Natural Resources 0.1045 0.0428 0.0029 Manufacturing 0.0827 0.1087 0.0584 Trade and Services 0.0867 0.1019 0.2032 Suppose the demand (in millions of dollars) matrix is the matrix D, shown below. Find the amount each sector should produce. 451 D= 300 126 Production levels of units from natural resources, units from manufacturing, and units from trade and services are needed. (Round to the nearest whole number as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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The input-output matrix for a simplified economy with just three sectors (natural resources, manufacturing, and trade and services) is given below.
Natural Resources Manufacturing Trade and Services
Natural Resources
0.1045
0.0428
0.0029
Manufacturing
0.0827
0.1087
0.0584
Trade and Services
0.0867
0.1019
0.2032
Suppose the demand (in millions of dollars) matrix is the matrix D, shown below. Find the amount each sector should produce.
451
D= 300
126
Production levels of
units from natural resources,
units from manufacturing, and
units from trade and services are needed.
(Round to the nearest whole number as needed.)
Transcribed Image Text:The input-output matrix for a simplified economy with just three sectors (natural resources, manufacturing, and trade and services) is given below. Natural Resources Manufacturing Trade and Services Natural Resources 0.1045 0.0428 0.0029 Manufacturing 0.0827 0.1087 0.0584 Trade and Services 0.0867 0.1019 0.2032 Suppose the demand (in millions of dollars) matrix is the matrix D, shown below. Find the amount each sector should produce. 451 D= 300 126 Production levels of units from natural resources, units from manufacturing, and units from trade and services are needed. (Round to the nearest whole number as needed.)
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