In: Economics
Consider the economy described by the production function
Y = F (K, L x E) = Kα(LE)1-α
(a) Derive per effective worker production function.
(b) Assume there is population growth rate, depreciation rate and technology growth rate.
-Write the law of motion of k.
-Tell how k* will be changed when population growth rate increases with graph.
(c) Calculate steady state equilibrium.
k∗ =
y∗ =
c∗ =
(d) Calculate gold rule capital stock and output.
kgold =
ygold =
Saving rate which satisfy golden rule (sgold) =