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, $0.30 frommanufacturing, and $0.30 from energy. Production of adollar's worth of energy requires inputs of $0.30 fromagriculture, $0.40 frommanufacturing, and $0.30 from energy. Find the output for each sector that is needed to satisfy a final demand of $35 billion foragriculture, $68 billion formanufacturing, and $45 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 asneeded.)

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 asneeded.)

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 asneeded.)