Two countries, h and I , whose economies are well represented by the Solow model, have the same parameters, 3, n, a, and 6, the same labor force but differ in their level of total factor productivity, Ah 2: AI. They are both in steady state but, as a result of their difference in the level of technology, I}, = 21'}. a) By what factor do the two countries\" levels of technology differ? By what factor do the two countries\" capital stocks differ? Assume a: = 1f2. b) Assuming that factor inputs are ee to migrate without cost, will they (either, K or N or both} have an incentive to do so? Why? Let's assume that n = [l and that An I} A! is the result of some barriers that prevent the ow of knowledge between these two economies. Now both economies join a common economic market and as a result A, instantaneously increases to An. The rest of the parameters are unaffected. c) Let's allow for migations of labor and capital flows across the two countries, sketch the path of output per capita in both countries before, at the time and after the barriers are lifted (do so inthe same figure using one color for each country). d) Let's allow only for capital flows, sketch the path of capital per capita in both countries before, at the time and after the barriers are lifted (do so in the same figure using one color for each country}