An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.20 unit from agriculture, 0.40 unit from manufacturing, and 0.20 unit from services. For each unit of output, manufacturing requires inputs of 0.30 unit from agriculture, 0.20 unit from manufacturing, and 0.20 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. Determine the production levels needed to satisfy a final demand of 0 units for agriculture, 30 units for manufacturing, and 0 units for services.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
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 production level needed from the agricultural sector, the manufacturing sector, and the energy sector is .....   .......    ....... units.

 

An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.20 unit from agriculture, 0.40
unit from manufacturing, and 0.20 unit from services. For each unit of output, manufacturing requires inputs of 0.30 unit from agriculture, 0.20 unit from manufacturing,
and 0.20 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. Determine
the production levels needed to satisfy a final demand of 0 units for agriculture, 30 units for manufacturing, and 0 units for services.
Transcribed Image Text:An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.20 unit from agriculture, 0.40 unit from manufacturing, and 0.20 unit from services. For each unit of output, manufacturing requires inputs of 0.30 unit from agriculture, 0.20 unit from manufacturing, and 0.20 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. Determine the production levels needed to satisfy a final demand of 0 units for agriculture, 30 units for manufacturing, and 0 units for services.
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