Suppose th at a country has a produ ction function, where Lis labour, K is capital and A is total factor produ ctivity, as follows: Y = F(K, L) = AK0.25 _0.75 a) Write the produ ction function in "intensive form" (output per worker as a fun ction of capital per worker). b) Suppose, in itially, that A = 4 andits growth rate is zero. The countryhas a population growth of 1% per year (0.01) and a depreciation rate of 10% (0.10). If the county saves 30% of nation al in come, find the steady state levels of capital per worker, as well as con sumption andincome ner worker
Suppose th at a country has a produ ction function, where Lis labour, K is capital and A is total factor produ ctivity, as follows: Y = F(K, L) = AK0.25 _0.75 a) Write the produ ction function in "intensive form" (output per worker as a fun ction of capital per worker). b) Suppose, in itially, that A = 4 andits growth rate is zero. The countryhas a population growth of 1% per year (0.01) and a depreciation rate of 10% (0.10). If the county saves 30% of nation al in come, find the steady state levels of capital per worker, as well as con sumption andincome ner worker
Chapter1: Making Economics Decisions
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![Suppose that a country has a produ ction function, where Lis labour, K is capital and A is
total factor produ ctivity, as follows:
Y = F(K, L) = A.K0.25L0.75
a)
Write the produ ction function in "intensive form" (output per worker as a fun ction of
capital per worker).
b)
Suppose, initially,that A = 4 andits growth rate is zero. The country has a population
growth of 1% per year (0.01) and a depreciation rate of 10% (0.10). If the county
saves 30% of nation al in come, find the steady state levels of capital per worker, as
well as con sumption andincome per worker.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d62bc50-3fe0-43af-b986-0753c7e015c3%2F03d35ad9-449c-4be0-ac98-d307156af4dc%2Fsvk4ly_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that a country has a produ ction function, where Lis labour, K is capital and A is
total factor produ ctivity, as follows:
Y = F(K, L) = A.K0.25L0.75
a)
Write the produ ction function in "intensive form" (output per worker as a fun ction of
capital per worker).
b)
Suppose, initially,that A = 4 andits growth rate is zero. The country has a population
growth of 1% per year (0.01) and a depreciation rate of 10% (0.10). If the county
saves 30% of nation al in come, find the steady state levels of capital per worker, as
well as con sumption andincome per worker.
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