An economy is based on two sectors: energy and manufacturing. Production of $1 worth of energy requires $0.2 from the energy sector and $0.3 from the manufacturing sector. Production of $1 worth of manufacturing requires $0.4 from the energy sector and $0.1 from the manufacturing sector. (a) Find the output for each sector in order to satisfy an external demand of $20 million for energy and $10 million for manufacturing.