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Suppose the per-worker production function is y = k'a. Rate of depreciation {5:1 is [1.05. 1. (3 points} Calculate the golden stead}.r state of capital per worker kit\"? 2. {2 points] 'What is the golden steady state of savings 55,\"? 3. {4 points) Suppose in this economy. steady state of capital per worker is k' is 150' Should the government pursue policy to increase or decrease the savings rate to maximize con- sumption? Use a graph to explain. 4. {ti points) In a graph with time on the x axis, show the transition of output per worker (3'). consumption per worker (c) and investment per worker (i) to the new steady state from k\" = 150 to kgdd