Suppose there are two countries in the world. Both countries produce using the Cobb-Douglas we have seen in the lectures: Yi=Ai Ki Ni (1-i). Country 1's economy is described by Y1=2K1, so A1=2 and 1=1 . Country 2's economy is described by Y2=2 K21/3 N22/3, so A2=2 and 2=1/3 . Population in country 1 grows at the rate of 5% every year and in country 2 at 10%. Capital in country 1 grows at 10% per year and in country 2 at 5% per year. [ 4 points] Find the growth rate of output and the growth rate of output per capita in country 1. Show your work. [ 4 points] Find the growth rate of output and the growth rate of output per capita in country 2. Show your work. [ 4 points] Suppose country 2 implements a policy that shifts production according to country 1's technology, i.e. 2=1 from now on. Is such a policy beneficial in promoting growth of output and output per capita? Show your work. [ 4 points] Suppose country 1 implements a policy that shifts production according to country 2's technology, i.e. 1=1/3 from now on. Is such a policy beneficial in promoting growth