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An industrial system has two industries with the following input requirements. (a) To produce $1.00 worth of output, Industry A requires $0.10 of its own product and $0.40 of Industry B's product. (b) To produce $1.00 worth of output, Industry B requires $0.50 of its own product and $0.30 of Industry A's product. Find D, the input-output matrix for this system. A B A. D = B 10,000 Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E = (Round to the nearest whole number.) 20,000 A X = B

An industrial system has two industries with the following input requirements. (a) To produce $1.00 worth of output, Industry A requires $0.10 of its own product and $0.40 of Industry B's product. (b) To produce $1.00 worth of output, Industry B requires $0.50 of its own product and $0.30 of Industry A's product. Find D, the input-output matrix for this system. A B A. D = B 10,000 Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E = (Round to the nearest whole number.) 20,000 A X = B

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...
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An industrial system has two industries with the following input requirements.

(a) To produce $1.00 worth of output, Industry A requires $0.10 of its own product and $0.40 of Industry B's product.
(b) To produce $1.00 worth of output, Industry B requires $0.50 of its own product and $0.30 of Industry A's product.

A.  Find D, the input-output matrix for this system.

B. Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix 

E =
10,000
20,000


 (Round to the nearest whole number.)

An industrial system has two industries with the following input requirements. (a) To produce $1.00 worth of output, Industry A requires $0.10 of its own product and $0.40 of Industry B's product. (b) To produce $1.00 worth of output, Industry B requires $0.50 of its own product and $0.30 of Industry A's product. Find D, the input-output matrix for this system. А В A D = 10,000 Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E = (Round to the nearest whole number.) 20,000 A X = В
Transcribed Image Text:An industrial system has two industries with the following input requirements. (a) To produce $1.00 worth of output, Industry A requires $0.10 of its own product and $0.40 of Industry B's product. (b) To produce $1.00 worth of output, Industry B requires $0.50 of its own product and $0.30 of Industry A's product. Find D, the input-output matrix for this system. А В A D = 10,000 Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E = (Round to the nearest whole number.) 20,000 A X = В
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