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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 $0.30 from energy. Production of a dollar's worth of manufacturing requires inputs of $0.30 from agriculture, $0.20 from manufacturing, and $0.20 from energy. Production of a dollar's worth of energy requires inputs of $0.20 from agriculture, $0.30 from manufacturing, and $0.30 from energy. Find the output for each sector that is needed to satisfy a final demand of $41 billion for agriculture, $28 billion for manufacturing, and $43 billion for energy. The output of the agricultural sector is billion dollars. (Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.)

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 $0.30 from energy. Production of a dollar's worth of manufacturing requires inputs of $0.30 from agriculture, $0.20 from manufacturing, and $0.20 from energy. Production of a dollar's worth of energy requires inputs of $0.20 from agriculture, $0.30 from manufacturing, and $0.30 from energy. Find the output for each sector that is needed to satisfy a final demand of $41 billion for agriculture, $28 billion for manufacturing, and $43 billion for energy. The output of the agricultural sector is billion dollars. (Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 $0.30 from energy. Production of a dollar's worth of manufacturing requires inputs of $0.30 from agriculture, $0.20 from manufacturing, and $0.20 from energy. Production of a dollar's worth of energy requires inputs of $0.20 from agriculture, $0.30 from manufacturing, and $0.30 from energy. Find the output for each sector that is needed to satisfy a final demand of $41 billion for agriculture, $28 billion for manufacturing, and $43 billion for energy. The output of the agricultural sector is billion dollars. (Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.)
Transcribed Image Text: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 $0.30 from energy. Production of a dollar's worth of manufacturing requires inputs of $0.30 from agriculture, $0.20 from manufacturing, and $0.20 from energy. Production of a dollar's worth of energy requires inputs of $0.20 from agriculture, $0.30 from manufacturing, and $0.30 from energy. Find the output for each sector that is needed to satisfy a final demand of $41 billion for agriculture, $28 billion for manufacturing, and $43 billion for energy. The output of the agricultural sector is billion dollars. (Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.)
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