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An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.30 unit from agriculture, 0.30 unit from manufacturing, and 0.20 unit from services. For each unit of output, manufacturing requires inputs of 0.20 unit from agriculture, 0.20 unit from manufacturing, and 0.30 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.40 unit from manufacturing, and 0.40 unit from services. Determine the production levels needed to satisfy a final demand of 0 units for agriculture, 10 units for manufacturing, and 0 units for services. The production level needed from the agricultural sector is units. (Do not round until the final answer. Then round to two decimal places as needed.) The production level needed from the manufacturing sector is units. (Do not round until the final answer. Then round to two decimal places as needed.) The production level needed from the services sector is units. (Do not round until the final answer. Then round to two decimal places as needed.)

An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.30 unit from agriculture, 0.30 unit from manufacturing, and 0.20 unit from services. For each unit of output, manufacturing requires inputs of 0.20 unit from agriculture, 0.20 unit from manufacturing, and 0.30 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.40 unit from manufacturing, and 0.40 unit from services. Determine the production levels needed to satisfy a final demand of 0 units for agriculture, 10 units for manufacturing, and 0 units for services. The production level needed from the agricultural sector is units. (Do not round until the final answer. Then round to two decimal places as needed.) The production level needed from the manufacturing sector is units. (Do not round until the final answer. Then round to two decimal places as needed.) The production level needed from the services sector is units. (Do not round until the final answer. Then round to two decimal places as needed.)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.30 unit from agriculture, 0.30 unit from manufacturing, and 0.20 unit from services. For each unit of output, manufacturing requires inputs of 0.20 unit from agriculture, 0.20 unit from manufacturing, and 0.30 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.40 unit from manufacturing, and 0.40 unit from services. Determine the production levels needed to satisfy a final demand of 0 units for agriculture, 10 units for manufacturing, and 0 units for services. The production level needed from the agricultural sector is units. (Do not round until the final answer. Then round to two decimal places as needed.) The production level needed from the manufacturing sector is units. (Do not round until the final answer. Then round to two decimal places as needed.) The production level needed from the services sector is units. (Do not round until the final answer. Then round to two decimal places as needed.)
Transcribed Image Text:An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.30 unit from agriculture, 0.30 unit from manufacturing, and 0.20 unit from services. For each unit of output, manufacturing requires inputs of 0.20 unit from agriculture, 0.20 unit from manufacturing, and 0.30 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.40 unit from manufacturing, and 0.40 unit from services. Determine the production levels needed to satisfy a final demand of 0 units for agriculture, 10 units for manufacturing, and 0 units for services. The production level needed from the agricultural sector is units. (Do not round until the final answer. Then round to two decimal places as needed.) The production level needed from the manufacturing sector is units. (Do not round until the final answer. Then round to two decimal places as needed.) The production level needed from the services sector is units. (Do not round until the final answer. Then round to two decimal places as needed.)
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