(1) Prove the following equality GDP= p'd = v'x, where d and u are the final demand vector and the unit value added vector, repectvely. (2) Assume that there is a 3-sector economy with the internal consumption matrix 0.7 0.3 0.2 0.1 0.4 0.3 0.2 0.4 0.1 ] [ A = 0.1 0.1 0.3 0.9 0.8 0.3 0.1 0.5 0.4 Check whether the economy is productive. What can we deduce about the column sums? (3) Solve the Leontief production equation for an economy with three sectors, ginve that 0.2 0.2 0 0.3 0.1 0.3 and d = 0.1 0 0.2 40 60 80

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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(1) Prove the following equality GDP= p'd = v'x, where d and u are the final demand vector and
the unit value added vector, repectvely.
(2) Assume that there is a 3-sector economy with the internal consumption matrix
0.7 0.3 0.2
0.1 0.4 0.3
0.2 0.4 0.1
1
A =
0.1 0.1 0.3
0.9 0.8 0.3
0.1 0.5 0.4
Check whether the economy is productive. What can we deduce about the column sums?
(3) Solve the Leontief production equation for an economy with three sectors, ginve that
0.2 0.2 0
0.3 0.1 0.3 and d =
0.1 0 0.2
40
[]
80
Transcribed Image Text:(1) Prove the following equality GDP= p'd = v'x, where d and u are the final demand vector and the unit value added vector, repectvely. (2) Assume that there is a 3-sector economy with the internal consumption matrix 0.7 0.3 0.2 0.1 0.4 0.3 0.2 0.4 0.1 1 A = 0.1 0.1 0.3 0.9 0.8 0.3 0.1 0.5 0.4 Check whether the economy is productive. What can we deduce about the column sums? (3) Solve the Leontief production equation for an economy with three sectors, ginve that 0.2 0.2 0 0.3 0.1 0.3 and d = 0.1 0 0.2 40 [] 80
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