Chapter 4.7, Problem 40E

Electricity, natural gas, oil. 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 oil.