Consider an economic model with three industries: agriculture, man- ufacturing and energy. The model has Leontief input-output matrix [0.6 0.1 0.1] 0.2 0.4 0.2 |0.1 0.4 0.2 A = (With the columns corresponding to the industries in the order listed). (a) If there is external demand for 800 units from agriculture, 1600 units from manufacturing and 400 from energy then calculate the total production required from each sector to meet this demand. (Note that you must show the matrix equation that you are solv- ing, but calculations can be done using technology.)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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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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Consider an economic model with three industries: agriculture, man-
ufacturing and energy. The model has Leontief input-output matrix
[0.6 0.1 0.1]
A
0.2 0.4 0.2
0.1 0.4 0.2
(With the columns corresponding to the industries in the order listed).
(a) If there is external demand for 800 units from agriculture, 1600
units from manufacturing and 400 from energy then calculate the
total production required from each sector to meet this demand.
(Note that you must show the matrix equation that you are solv-
ing, but calculations can be done using technology.)
(b) How many units of production are used by each of the three
industries to meet this demand?
Transcribed Image Text:Consider an economic model with three industries: agriculture, man- ufacturing and energy. The model has Leontief input-output matrix [0.6 0.1 0.1] A 0.2 0.4 0.2 0.1 0.4 0.2 (With the columns corresponding to the industries in the order listed). (a) If there is external demand for 800 units from agriculture, 1600 units from manufacturing and 400 from energy then calculate the total production required from each sector to meet this demand. (Note that you must show the matrix equation that you are solv- ing, but calculations can be done using technology.) (b) How many units of production are used by each of the three industries to meet this demand?
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