onsider the following input-output table for a certain economy consisting of two sectors (all units easured in dollars): Construction Transportation Construction 20,000 8,000 Transportation 53,000 110,000 Total Output 150,000 160,000 Find the technology matrix associated with this economy. The matrix (I – A)-1 is given by (I – A)-1 = 1.2 0.2 1.4 3.4 What production levels are necessary in order to meet a $1,000 demand in construction and a $2,000 demand in transportation?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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8. Consider the following input-output table for a certain economy consisting of two sectors (all units
measured in dollars):
Construction Transportation
Construction
20,000
8,000
Transportation
53,000
110,000
Total Output
150,000
160,000
Find the technology matrix associated with this economy.
The matrix (I – A)-1 is given by
1.2 0.2
|1.4 3.4
(I – A)-1 =
What production levels are necessary in order to meet a $1,000 demand in construction and a
$2,000 demand in transportation?
Transcribed Image Text:8. Consider the following input-output table for a certain economy consisting of two sectors (all units measured in dollars): Construction Transportation Construction 20,000 8,000 Transportation 53,000 110,000 Total Output 150,000 160,000 Find the technology matrix associated with this economy. The matrix (I – A)-1 is given by 1.2 0.2 |1.4 3.4 (I – A)-1 = What production levels are necessary in order to meet a $1,000 demand in construction and a $2,000 demand in transportation?
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