, and an auto industry, with the following technology matrix.               E        S        A            0.6       0.2      0.2   Electronics A=     0.1       0.4      0.5   Steel           0.1       0.2      0.2   Autos   If the nation wishes to have surpluses of 104 units of electronics production, 282 units of steel production, and 189 automobiles, find the gross production of each industry. electronics                 units steel                 units autos                 units

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 68E
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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 

          0.6       0.2      0.2   Electronics

A=     0.1       0.4      0.5   Steel

          0.1       0.2      0.2   Autos

 

If the nation wishes to have surpluses of 104 units of electronics production, 282 units of steel production, and 189 automobiles, find the gross production of each industry.

electronics                 units
steel                 units
autos                 units
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