An economy is based on three sectors, agriculture, manufacturing, and energy. Production of a dollar's worth of agriculture requires inputs of $0.30 from agriculture, $0.30 from manufacturing, and $0.20 from energy. Production of a dollar's worth of manufacturing requires inputs of $0.20 from agriculture, $0.20 from manufacturing, and $0.30 from energy. Production of a dollar's worth of energy requires inputs of $0.20 from agriculture, $0.40 from manufacturing, and $0.40 from energy. Find the output for each sector that is needed to satisfy a final demand of $57 billion for agriculture, $19 billion for manufacturing, and $21 billion for energy.

Economics (MindTap Course List)
13th Edition
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter9: Classical Macroeconomics And The Self Regulating Economy
Section: Chapter Questions
Problem 10QP
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An economy is based on three sectors, agriculture, manufacturing, and energy. Production of a dollar's worth of agriculture requires inputs of $0.30 from agriculture, $0.30 from manufacturing, and $0.20 from energy. Production of a dollar's worth of manufacturing requires inputs of $0.20 from agriculture, $0.20 from manufacturing, and $0.30 from energy. Production of a dollar's worth of energy requires inputs of $0.20 from agriculture, $0.40 from manufacturing, and $0.40 from energy. Find the output for each sector that is needed to satisfy a final demand of $57 billion for agriculture, $19 billion for manufacturing, and $21 billion for energy.
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