Answer to Question #183922 in Linear Algebra for Bhakti

Question #183922

The following data is the input-output tables for different sectors in 

an economy. Find the technology matrix and also the total output against the 

changes in the final demand given:

INDUSTRY X Y FINAL 

DEMAND

X 15 25 40

Y 20 30 50

D=(

50

75)


1
Expert's answer
2021-05-07T10:00:47-0400

The input output coefficient matrix for X and Y is given by-



Then the Technology matrix( leontiff matrix) is given by-



Imagine that the vector of final demands becomes .Then, to find the corresponding activity levels in we must solve the system We have-




Solving above matrix for x and y and we get-



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