Consider a growth model with population growth, human capital, and physical capital. Suppose that the aggregate production function takes the following form: Y, = AK*[HN,]' where denotes output, Kr physical capital, Nt is labour and grows at rate n. A denotes the level of technology and H is the level of human capital. Note that both A and H are constant. Let Y, K Vi = 7 and k; = A A} Derive the intensive form of the production function in per worker terms. B) Use the gross investment equation below to find the level of investment per worker required at the steady state. .Irr = K.T-.] K{ + dKI where d is the depreciation rate. Note that population, N, grows at rate n. C) Assume workers save a fraction s of their income. Find the steady state capital per worker and output per worker. D) Derive an algebraic expression for the Golden rule capital per worker. Compare your answer to the steady state capital per worker from part c. E) Two economies (say countries 1 and 2) are identical except country 1 has 50% more human capital than country 2. How do their output per workers compare at the steady state? [Hint: Compute the ratio of their steady state output per worker]. F) Suppose there are two identical countries: same level of productivity, population growth rate, and depreciation. However, Country 1 has a higher rate of investment than Country 2: (s1>s2). MNow, suppose these countries have same level of income per capita (y1=)2), and are currently below their steady states output, y1=y2