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An economy is based on three​ sectors, agriculture,​ manufacturing, and energy. Production of a​ dollar's worth...

An economy is based on three​ sectors, agriculture,​ manufacturing, and energy. Production of a​ dollar's worth of agriculture requires inputs of ​$0.40 from​ agriculture,  $ 0.40 from​ manufacturing, and ​$0.20 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 ​$0.20 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 ​$80 billion for​ agriculture, ​$45 billion for​ manufacturing, and ​$65 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 as​ needed.)

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 as​ needed.)

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 as​ needed.)

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1. the given description, we can write the technical a I table as from the given input-output table outlent Output to A guicuNow for the solution to exist A 710 . Now Ai 70.60 -0.40 -0,20 7-] 1-0.30 0.70 -0.30 -0.20 -0.40 .. 0.70 / [5.967742 5.806452

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