Suppose an economy begins in steady state. By what proportion does per capita GDP change in the long run in reponse to each of the following changes? Production function is Y=AK^1/3L^2/3.
a. Investment rate doubles
b. depreciation rate falls by 10%
c. Productivity level rises by 10%
d. Earthquake destrys 75% of the capital stock
e. Generous immigration policy lead the population to double.