a. Given the internal consumption matrix A, and the external demand matrix D as follows.0.1 0.2 0.2200D =A = |0.10.3 0.1100[0.10.2 0.3150Solve the system using the open model: X = AX + D or X = (I – A)-'D.b. An economy has two industries, namely, farming and building. For every Php50 of food pro-duced, the farmer uses Php10 and the builder uses Php7.50. For every Php50 worth of build-ing, the builder uses Php12.50 and the farmer uses Php10. If the external demand for foodis Php5M, and for building Php10M, what should be the total production for each industry inpesos?

Answered: Image /qna-images/answer/295289d2-8584-4e68-bf4e-dd6259c73851.jpg

a. Given the internal consumption matrix A, and the external demand matrix D as follows 0.1 0.2 0.2 A = 0.1 0.3 0.1, D= | 100 200 0.1 0.2 0.3 150 Solve the system using the open model: X = AX + D or X = (I – A)-'D.

a. Given the internal consumption matrix A, and the external demand matrix D as follows 0.1 0.2 0.2 A = 0.1 0.3 0.1, D= | 100 200 0.1 0.2 0.3 150 Solve the system using the open model: X = AX + D or X = (I – A)-'D.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

a. Given the internal consumption matrix A, and the external demand matrix D as follows.
0.1 0.2 0.2
200
D =
A = |0.1
0.3 0.1
100
[0.1
0.2 0.3
150
Solve the system using the open model: X = AX + D or X = (I – A)-'D.
b. An economy has two industries, namely, farming and building. For every Php50 of food pro-
duced, the farmer uses Php10 and the builder uses Php7.50. For every Php50 worth of build-
ing, the builder uses Php12.50 and the farmer uses Php10. If the external demand for food
is Php5M, and for building Php10M, what should be the total production for each industry in
pesos?

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