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 104 units of electronics production, 227 units of steel production, and 249 automobiles, find the gross production of each industry.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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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 104 units of electronics production, 227 units of steel production, and 249 automobiles, find the gross production of each industry.

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