A country has the per-worker production function: Y; = 6k?/3 where y is output per worker and k, is the capital-labor ratio. The depreciation rate is 0.1 and the population growth rate is 0.1. The saving function is S; = 0.1Y; where S, is total national saving and Y, is total output. a) What is the steady-state value of capital-labor ratio? b) What is the steady-state value of output per worker? What is the steady-state value of consumption per worker? c)

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A country has the per-worker production function:
2/3
where y, is output per worker and k, is the capital-labor ratio. The depreciation rate is 0.1 and the
population growth rate is 0.1. The saving function is
St = 0.1Y;
where S, is total national saving and Y, is total output.
a)
What is the steady-state value of capital-labor ratio?
b) What is the steady-state value of output per worker?
What is the steady-state value of consumption per worker?
c)
Transcribed Image Text:A country has the per-worker production function: 2/3 where y, is output per worker and k, is the capital-labor ratio. The depreciation rate is 0.1 and the population growth rate is 0.1. The saving function is St = 0.1Y; where S, is total national saving and Y, is total output. a) What is the steady-state value of capital-labor ratio? b) What is the steady-state value of output per worker? What is the steady-state value of consumption per worker? c)
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