An economy is based on three sectors, agriculture, manufacturing, and energy. Production of a dollar's worth of agriculture requires 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, $0.30 from manufacturing, and $0.30 from energy. Production of a dollar's worth of energy requires inputs of $0.30 from agriculture, $0.40 from manufacturing, and $0.30 from energy. Find the output for each sector that is needed to satisfy a final demand of $17 billion for agriculture, $11 billion for manufacturing, and $66 billion for energy.