An economy is based on three sectors, agriculture, manufacturing, and energy. Production of a dollar's worth of agriculture requires inputs of $0.20 from agriculture, $0.40 from manufacturing, and $0.20 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 $53 billion for agriculture, $38 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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