Four sectors of the U.S. economy are (1) livestock and livestock products, (2) other agricultural products, (3) forestry and fishery products, and (4) agricultural, forestry, and fishery services. Suppose that in 1977 the input-output table involving these four sectors was as follows (all figures are in millions of dollars). Determine how these four sectors would react to an increase in demand for livestock (Sector 1) of $2,500 million, how they would react to an increase in demand for other agricultural products (Sector 2) of $2,500 million, and so on. (Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.)     To 1 2 3 4 From        1 11,937 9 109 855 2 26,649 4,285 0 4,744 3 0 0 439 61 4 5,423 10,952 3,002 216 Total Output 97,795 120,594 14,642 47,473   Answer will be 4x4 matrix.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Four sectors of the U.S. economy are (1) livestock and livestock products, (2) other agricultural products, (3) forestry and fishery products, and (4) agricultural, forestry, and fishery services. Suppose that in 1977 the input-output table involving these four sectors was as follows (all figures are in millions of dollars).

Determine how these four sectors would react to an increase in demand for livestock (Sector 1) of $2,500 million, how they would react to an increase in demand for other agricultural products (Sector 2) of $2,500 million, and so on. (Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.)

 

 
To 1 2 3 4
From        1 11,937 9 109 855
2 26,649 4,285 0 4,744
3 0 0 439 61
4 5,423 10,952 3,002 216
Total Output 97,795 120,594 14,642 47,473

 

Answer will be 4x4 matrix.

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