Please answer c-f of the following question. Answer at least two of four would be fine. Please do it by yourself. Thank you!

Question 3. Suppose there are two economies which are identical in everything except their production functions, which are F1(Kt, Lt) = x/KtLt and F2(K,, L,) = 0.2K, + 0.8Lt. a) Write out the capital accumulation equation for capital K, as a function of the saving rate 3, output if}: = Iii-(Kt, L) for z' = 1, 2, and the depreciation rate 6. (Hint: recall that the change in capital is related to old capital that survives in this period and new investments made, which are related to output through the saving rate.) b) Find output per worker git in each economy. (Hint: reference part c of question 2.) c) Let f(kt) denote the output per worker in each economy you found above and n denote the population growth rate. Write down the capital accumulation equation for capital per worker k in each economy using output per worker. (Hint: don't derive this equation, use your solutions to part e, question 2 and the different f,(kt) functions.) d) Find the steady state level of capital per worker In,- in each economy. (Hint: use the fact that in steady state, we must have it = 0.) e) If 6 = 0.2, s = 0.3, and n = 0.05 in both of these economies, which one has a higher consumption per capita in steady state? (Hint: reference part c of question 2.) f) Suppose now that population growth stops in economy 1. Which economy now has higher consumption per capita, and does this make sense? (Hint: plug in the new value of m into your solution above.)