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A Country Has the Per-Worker Production Function Yt = 3kt2/3

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Essay

A country has the per-worker production function yt = 3kt2/3, where yt is output per worker and kt is the capital-labour ratio. The depreciation rate is 0.1 and the population growth rate is 0.05. The saving function is St = 0.2Yt, where St is total national saving and Yt is total output.
a. What is the steady-state value of capital-labour ratio?
b. What is the steady-state value of output per worker?
c. What is the steady-state value of consumption per worker?


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