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A system composed of two industries, coal and steel, has the following input requirements. (a) To produce $1.00 worth of output, the coal industry requires $0.20 of its own product and $0.60 of steel. (b) To produce $1.00 worth of output, the steel industry requires $0.30 of its own product and $0.40 of coal. STEP 1: Find D, the input-output matrix for this system. D = ? STEP 2: Sove for the output matrix X in the equation X = DX + E, where E is the extremal demand matrix  E = [10,000]        [20,000] X = ?

A system composed of two industries, coal and steel, has the following input requirements. (a) To produce $1.00 worth of output, the coal industry requires $0.20 of its own product and $0.60 of steel. (b) To produce $1.00 worth of output, the steel industry requires $0.30 of its own product and $0.40 of coal. STEP 1: Find D, the input-output matrix for this system. D = ? STEP 2: Sove for the output matrix X in the equation X = DX + E, where E is the extremal demand matrix  E = [10,000]        [20,000] X = ?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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A system composed of two industries, coal and steel, has the following input requirements.

(a) To produce $1.00 worth of output, the coal industry requires $0.20 of its own product and $0.60 of steel.

(b) To produce $1.00 worth of output, the steel industry requires $0.30 of its own product and $0.40 of coal.

STEP 1: Find D, the input-output matrix for this system.

D = ?

STEP 2: Sove for the output matrix X in the equation X = DX + E, where E is the extremal demand matrix 

E = [10,000]

       [20,000]

X = ?

 

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