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
icon
Related questions
Question

Please help me with the below question. 

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.)
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.)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,