Suppose that the economy of a small nation has an electronics industry, a steel industry, and an auto industry, with the following technology matrix. 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 102 units of electronics production, 244 units of steel production, and 247 automobiles, find the gross production of each industry. electronics units steel units autos units
Suppose that the economy of a small nation has an electronics industry, a steel industry, and an auto industry, with the following technology matrix. 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 102 units of electronics production, 244 units of steel production, and 247 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 they the economy of a small nation has an electronics industry, a steel industry and an auto industry.
Let
x units is the gross production of electronics industry.
y units is the gross production of steel industry.
z units is the gross production of auto industry.
The production vector is
P = (x y z)t
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