Assume That a Country's Production Function Is Y = K^1/2L^1/2

question 61

Essay

Assume that a country's production function is Y = K^1/2L^1/2 and there is no population growth or technological change.
a.What is the per-worker production function y = f(k)?
b.Assume that the country possesses 40,000 units of capital and 10,000 units of labour. What is Y? What is labour productivity computed from the per-worker production function? Is this value the same as labour productivity computed from the original production function?
c.Assume that 10 percent of capital depreciates each year. What gross saving rate is necessary to make the given capital-labour ratio the steady-state capital-labour ratio?