The Solow Model question.

An economy has the per-worker production function y : k1f3 where y is output per worker and k is capital per worker. Capital accumulation follows: k:sy(n+6)k The saving rate 3 is 0.2, the depreciation rate 6 is 0.04, and the population growth rate 11 is 0.01. a. What are the steady state values of capital per worker, output per worker, and consumption per worker? b. Repeat Part (a) for a saving rate of 0.4 instead of 0.2. 6. Repeat Part (a) for a population growth rate of 0.02 (with a saving rate of 0.2). d. Repeat Part (a) for a production function of y = 2W3 6. Suppose the economy is not in the steady state. Derive the growth rate of capital per worker (f) along the transition path as a function of k, s, n and 6. Under what condition is % positive? What is the relationship between E and k