A country has the per-worker production function y t = 6 k t 2 / 3 , where y t is output per worker and k t is the capital - labor ratio . The depreciation rate is 0.1 and the population growth rate is 0.1 . The saving function is S t = 0.1 Y t , where S t is total national saving and Y t is total output . 1 ) What is the steady - state value of capital - labor ratio ? 2 ) What is the steady - state value of output per worker ? 3 ) What is the steady - state value of consumption per worker ?