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 В 0.10 0.30 A D = 0.40 0.50 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 ]: 39500 A X = 51100 B Neod He

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 В 0.10 0.30 A D = 0.40 0.50 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 ]: 39500 A X = 51100 B Neod He

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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