An economy is based on threesectors, agriculture,manufacturing, and energy. Production of adollar's worth of agriculture requires inputs of $0.30 fromagriculture, $0.30 frommanufacturing, and $0.30 from energy. Production of adollar's worth of manufacturing requires inputs of $0.30 fromagriculture, $0.20 frommanufacturing, and $0.20 from energy. Production of adollar's worth of energy requires inputs of $0.20 fromagriculture, $0.30 frommanufacturing, and $0.30 from energy. Find the output for each sector that is needed to satisfy a final demand of $42 billion foragriculture, $37 billion formanufacturing, and $33 billion for energy.

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 $42 billion for agriculture, $37 billion for manufacturing, and $33 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.) The output of the manufacturing sector is billion dollars. (Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.) The output of the energy sector is billion dollars. Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.)