Please answer the question carefully

Consider the Solow growth model without population growth or technological change. The parameters of the model are given by s = 0.2 (savings rate) and 6 = 0.1 (depreciation rate). Let k denote capital per worker; y output per worker; c consumption per worker; i investment per worker a) Rewrite production function Y=K1/3 12/3in per-worker terms. b) Find the steady-state level of the capital stock. c) What is the "golden rule" level of k for this economy? Recall that the golden rule level of the capital stock maximizes consumption per worker in steady-state. Report your answer to two decimal places. d) What is the associated savings rate that corresponds to the "golden rule" level of k found in (c)? e) Compare your result in the previous part with the assumed savings rate s=0.2. To obtain the "golden rule" level of k, do citizens need to save more or less