Consider a version of the Solow growth model with a population growth rate of gN=0.02(2% population growth), a depreciation rate of =0.06 ( 6% depreciation), a savings rate of s=0.15 (15\% saving), TFP A=1, and a production function F(K,N)=K0.3N0.7. a.) Solve for the per worker production function f(k) where k is capital per worker. Show all of your work. b.) Solve for the steady state level of capital per worker and consumption per worker. c.) What will happen to the steady state level of capital per worker if increases? Explain this effect using economic intuition. d.) What will happen to the steady state level of capital per worker if gN increases? Explain this effect using economic intuition. e.) Suppose that the government forces workers to increase the savings rate to s=0.3 (30\% saving). Solve for the new steady state level of consumption per worker. How does your answer compare to part b.)? f.) Is the required increase in the savings rate in part e.) a good economic policy? Why or why not? What would you need to know to analyze the welfare implications of the policy