Y = 0.5x/Ex/N where Y is output, K is capital, and N is the number of workers. Consider the economy with Q population growth and Q technological progress. (a) Rewrite the production function in \"per worker\" basis and denote it as f (k) where k = K N (b) What is the steady state level of capital per worker (19*)? (Show the steady state in terms of the saving rate 3, and the depreciation rate 6) (c) What is the steady state level of output per worker (y*)? (Show the steady state in terms of the saving rate 3, and the depreciation rate 6) (d) What is the steady state level of consumption per worker? (Show the steady state in terms of the saving rate 3, and the depreciation rate 6) (e) What is the golden rule level of capital? (Explain in words the meaning of the concept) Suppose that 6 = 0.05. At what saving rate 3 for which the golden rule is satised