An economy has four sectors: Agriculture, Manufacturing, Services, and Transportation. Agriculture sells 20% of its output to Manufacturing, 30% to Services, 30% to Transportation, and retains the rest. Manufacturing sells 35% of its output to Agriculture, 35% to Services, 20% to Transportation, and retains the rest. Services sells 10% of its output to Agriculture, 20% to Manufacturing, 20% to Transportation, and retains the rest. Transportation sells 20% of its output to Agriculture, 30% to Manufacturing, 20% to Services, and retains the rest. a) Construct the exchange table for this economy. b) Find a set of equilibrium prices for the economy if the value of Transportation is $10.00 per unit.

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter2: Scarcity And Opportunity Costs
Section: Chapter Questions
Problem 14E
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application of linear algebra, explain your solution

An economy has four sectors: Agriculture, Manufacturing, Services, and
Transportation. Agriculture sells 20% of its output to Manufacturing, 30% to
Services, 30% to Transportation, and retains the rest. Manufacturing sells 35%
of its output to Agriculture, 35% to Services, 20% to Transportation, and retains
the rest. Services sells 10% of its output to Agriculture, 20% to Manufacturing,
20% to Transportation, and retains the rest. Transportation sells 20% of its
output to Agriculture, 30% to Manufacturing, 20% to Services, and retains the
rest.
a) Construct the exchange table for this economy.
b) Find a set of equilibrium prices for the economy if the value of Transportation
is $10.00 per unit.
Transcribed Image Text:An economy has four sectors: Agriculture, Manufacturing, Services, and Transportation. Agriculture sells 20% of its output to Manufacturing, 30% to Services, 30% to Transportation, and retains the rest. Manufacturing sells 35% of its output to Agriculture, 35% to Services, 20% to Transportation, and retains the rest. Services sells 10% of its output to Agriculture, 20% to Manufacturing, 20% to Transportation, and retains the rest. Transportation sells 20% of its output to Agriculture, 30% to Manufacturing, 20% to Services, and retains the rest. a) Construct the exchange table for this economy. b) Find a set of equilibrium prices for the economy if the value of Transportation is $10.00 per unit.
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