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 = ?
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 $0.60 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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