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Given interaction between 2 sectors in economy Industry I II I 20 56 II 50 8 Final Demands Gross Output Industry 24 22 100 80 Primary Inputs a) 30 16 Knowing the input-output matrix A: ? 20 ?100 A=? ? 50 ??100 56 ? 80 ? ? 8? 80 ?? ?74 ? −1 find X = ( I − A ) D where D = ? ? ?37 ? b) If in 5 years the final demands change to 74 for industry I and 37 for industry II, how much should each industry produce to meet this projected demand? c) What will be the new primary input requirements in 5 years for the 2 industries?
Given interaction between 2 sectors in economy Industry I II I 20 56 II 50 8 Final Demands Gross Output Industry 24 22 100 80 Primary Inputs a) 30 16 Knowing the input-output matrix A: ? 20 ?100 A=? ? 50 ??100 56 ? 80 ? ? 8? 80 ?? ?74 ? −1 find X = ( I − A ) D where D = ? ? ?37 ? b) If in 5 years the final demands change to 74 for industry I and 37 for industry II, how much should each industry produce to meet this projected demand? c) What will be the new primary input requirements in 5 years for the 2 industries?
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