answer the given Question.

Assume that China's output (Y) is produced using capital (K) and labour (L) with the following production function: Y = K .75 0.25 China's rate of population growth (n) is 0.5% per year (0.005). The rate of depreciation of capital is 20% per year (0.20) and assume there is no technical progress. a) Prove that the production function displays diminishing returns to capital. b) Prove that the production function displays constant returns to scale. C) Find the capital stock per capita, income per capita, consumption per capita and investment per capita in steady state given that the Chinese savings rate (s) is 50% (0.5). d) Calculate the "Golden Rule" level of capital stock in steady state. Is the Chinese economy dynamically efficient