A simplified economy involves just three commodity categories-agriculture, manufacturing, and transportation, all in appropriate units. Production of 1 unit of agriculture requires 1/5 unit of manufacturing and 1/4 unit of transportation, production of 1 unit of manufacturing requires 1/4 unit of agriculture and 1/4 unit of transportation, and production of 1 unit of transportation requires 1/3 unit of agriculture and 1/4 unit of manufacturing. If the demand is 602 units of each commodity, how many units of each commodity should be produced? Find the input-output matrix, A, and the demand matrix, D, for this economy The input-output matrix is (Type an integer or fraction for each matrix element) The demand matrix is (Type an integer or fraction for each matrix element) About units of agriculture, units of manufacturing, and units of transportation should be produced (Round to the nearest whole number as needed)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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A simplified economy involves just three commodity categories-agriculture, manufacturing, and
transportation, all in appropriate units. Production of 1 unit of agriculture requires 1/5 unit of
manufacturing and 1/4 unit of transportation, production of 1 unit of manufacturing requires 1/4 unit of
agriculture and 1/4 unit of transportation, and production of 1 unit of transportation requires 1/3 unit of
agriculture and 1/4 unit of manufacturing. If the demand is 602 units of each commodity, how many units
of each commodity should be produced?
Find the input-output matrix, A, and the demand matrix, D, for this economy
The input-output matrix is
(Type an integer or fraction for each matrix element.)
The demand matrix is
(Type an integer or fraction for each matrix element.)
About units of agriculture, units of manufacturing, and
be produced.
(Round to the nearest whole number as needed)
units of transportation should
Transcribed Image Text:A simplified economy involves just three commodity categories-agriculture, manufacturing, and transportation, all in appropriate units. Production of 1 unit of agriculture requires 1/5 unit of manufacturing and 1/4 unit of transportation, production of 1 unit of manufacturing requires 1/4 unit of agriculture and 1/4 unit of transportation, and production of 1 unit of transportation requires 1/3 unit of agriculture and 1/4 unit of manufacturing. If the demand is 602 units of each commodity, how many units of each commodity should be produced? Find the input-output matrix, A, and the demand matrix, D, for this economy The input-output matrix is (Type an integer or fraction for each matrix element.) The demand matrix is (Type an integer or fraction for each matrix element.) About units of agriculture, units of manufacturing, and be produced. (Round to the nearest whole number as needed) units of transportation should
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