a large energy company produces electricity, natural gas, and oil. the production of a dollar's worth of electricity requires inputs of $0.30 from electricity,$0.10 from natural gas, and $0.20 from oil. production of a dollar 's worth of natural gas requires inputs of$0.30 from electricity, $0.10 from natural gas, and$0.20 from oil. production of a dollar's worth of oil requires inputs of $0.10 from each sector. find the output for each sector that is needed to satisfy a final demand of$25 billion for electricity, $15 billion for natural gas, and$20 billion for