Suppose that the economy of a small nation has an electronics industry, a steel industry, and an auto industry, with the following technology matrix.     E     S     A   A =    0.6   0.2   0.2 0.1   0.4   0.5 0.1   0.2   0.2     Electronics Steel Autos If the nation wishes to have surpluses of 78 units of electronics production, 228 units of steel production, and 263 automobiles, find the gross production of each industry. electronics      units steel      units autos      units

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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Suppose that the economy of a small nation has an electronics industry, a steel industry, and an auto industry, with the following technology matrix.

   
E     S     A
 
A = 
 
0.6   0.2   0.2
0.1   0.4   0.5
0.1   0.2   0.2
 
  
Electronics
Steel
Autos

If the nation wishes to have surpluses of 78 units of electronics production, 228 units of steel production, and 263 automobiles, find the gross production of each industry.

electronics      units
steel      units
autos      units
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