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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 $0.40 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. Coal Steel D = 0.2 0.4 X = 0.4 0.3 STEP 2: Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E = E Coal Coal Steel Steel 10,000 20,000

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 $0.40 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. Coal Steel D = 0.2 0.4 X = 0.4 0.3 STEP 2: Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E = E Coal Coal Steel Steel 10,000 20,000

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 $0.40 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. Coal Steel D = 0.2 0.4 X = 0.4 0.3 STEP 2: Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E = E Coal Coal Steel Steel 10,000 20,000
Transcribed Image Text: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 $0.40 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. Coal Steel D = 0.2 0.4 X = 0.4 0.3 STEP 2: Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E = E Coal Coal Steel Steel 10,000 20,000
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