Suppose that in an economy without population growth or technological progress, the production function is: Y= K^0.2 L^0.8, where Y is output, K is the labour force

a. Derive steady-state capital stock per worker, steady-state output per worker, and steady-state consumption per worker as a function of the saving rate and the depreciation rate.

b.Now assume that the depreciation rate is 5% per year. What level of capital stock per worker and saving rate maximize consumption per workers?