The input-output (million dollar) table for a two-sector economy is given as follows: Input to sector A Input sector B Final Demand Total Output Output from Sector A 6 2 7 ? Output from Sector B 3 1 6 ? Other inputs ? ? Total Input ? ? a. What is the basic assumption underlying the input-output model? b. Complete the above table (fill-entries denoted by ?). c. Write the matrix of technical coefficients. d. Calculate the total output required from each sector when the final demands are 12 and 9 respectively.
The input-output (million dollar) table for a two-sector economy is given as follows: Input to sector A Input sector B Final Demand Total Output Output from Sector A 6 2 7 ? Output from Sector B 3 1 6 ? Other inputs ? ? Total Input ? ? a. What is the basic assumption underlying the input-output model? b. Complete the above table (fill-entries denoted by ?). c. Write the matrix of technical coefficients. d. Calculate the total output required from each sector when the final demands are 12 and 9 respectively.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 27EQ
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The input-output (million dollar) table for a two-sector economy is given as follows:
Input to sector A Input sector B Final Demand Total Output
Output from Sector A 6 2 7 ?
Output from Sector B 3 1 6 ?
Other inputs ? ?
Total Input ? ?
a. What is the basic assumption underlying the input-output model?
b. Complete the above table (fill-entries denoted by ?).
c. Write the matrix of technical coefficients.
d. Calculate the total output required from each sector when the final demands are 12
and 9 respectively.
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