(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
(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
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![(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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2189fceb-c7a8-40f0-b1e1-446eb4728449%2F74d6c25e-3395-4f53-993a-5618bacb66a7%2Fqcpel08_processed.png&w=3840&q=75)
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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