Question
Suppose that the economy's production function is given byY=F(K,AN) where Y is output, K is capital stock; A is state of technology; N is number
Suppose that the economy's production function is given byY=F(K,AN) where Y is
output, K is capital stock; A is state of technology; N is number of workers, and AN is
number of effective workers.
a. What is the expression for output per effective worker for this production function?
b. If the number of workers is growing annually at the rate gN , annual rate of
technological progress is gA and depreciation rate is given by delta(), what is the required
level of capital per effective worker?
c. Using diagram show and explain the steady state equilibrium values of capital and
output per effective worker.
d. Why by increasing saving rate alone we cannot attain sustained higher growth in the
long run?
e. What is the growth rate of output in steady state? In which rate, are workers getting
richer annually in this model?
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