3 Growth Model Suppose that output (Y) in an economy is given by the following aggregate production function: Y = K+N where K, is capital and N, is the population. Furthermore, assume that capital depreciates at rate 8 and that savings is a constant proportions of income. You may assume that 8 > s. 1. Suppose that the population remains constant. Solve for the steady-state level of capital per worker. 2. Now suppose that the population grows at rate n. Solve for the steady-state level of capital per worker. 3. Based on your answer to part 2) above, solve for the steady-state growth rates (in terms of n) of the following: (a) capital per worker (b) output per worker (c) capital (d) output