An industrial system has two industries with the following input requirements. (a) To produce $1.00 worth of output, Industry A requires $0.20 of its own product and $0.50 of Industry B's product. (b) To produce $1.00 worth of output, Industry B requires $0.40 of its own product and $0.30 of Industry A's product. Find D, the input-output matrix for this system. A B D= 0.2 0.5 X = 0.3 25000 33333 0.4 A Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E = A [*]: B B 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 $0.20 of its own product and $0.50 of Industry B's product. (b) To produce $1.00 worth of output, Industry B requires $0.40 of its own product and $0.30 of Industry A's product. Find D, the input-output matrix for this system. A B D= 0.2 0.5 X = 0.3 25000 33333 0.4 A Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E = A [*]: B B 10,000 20,000 (Round to the nearest whole number.)
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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![An industrial system has two industries with the following input requirements.
(a) To produce $1.00 worth of output, Industry A requires $0.20 of its own product and $0.50 of Industry B's product.
(b) To produce $1.00 worth of output, Industry B requires $0.40 of its own product and $0.30 of Industry A's product.
Find D, the input-output matrix for this system.
A
B
D=
0.2
0.5
X =
0.3
25000
33333
0.4
A
Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E =
A
[*]:
B
B
10,000
20,000
(Round to the nearest whole number.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5e49726-ba49-42b5-b724-627102b80d98%2F29dcf07e-70ba-4412-ad52-761b6e3b6111%2Ffv2e0t_processed.png&w=3840&q=75)
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 $0.20 of its own product and $0.50 of Industry B's product.
(b) To produce $1.00 worth of output, Industry B requires $0.40 of its own product and $0.30 of Industry A's product.
Find D, the input-output matrix for this system.
A
B
D=
0.2
0.5
X =
0.3
25000
33333
0.4
A
Solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix E =
A
[*]:
B
B
10,000
20,000
(Round to the nearest whole number.)
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