Find D, the input-output matrix for this system. D = ? Solve for the output matrix X in the equation X = DX + E where E  is the external demand matrix E= [10,000]       [20,000] (Round to the nearest whole number.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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An industrial system has two industries with the following input requirements.

(a) To roduce $1.00 worth of output, Industry A requires $0.20 of its own products and $0.50 of industry B's products.

(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.

D = ?

Solve for the output matrix X in the equation X = DX + E where E  is the external demand matrix

E= [10,000]

      [20,000]

(Round to the nearest whole number.)

 

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