Question 4.[20pt] Consider an economy with the following production function: K = V thAtNJ) where K is capital, N is lahour input and A is the effectiveness of labour. Assume that A is growing at exogenous rate 9,4,, N is growing at exogenous rate 9N and the capital stock depreciates at rate 5. Consumers save a share s of their income. a] Verify that this production has constant returns to scale. 1)] Derive output per effective worker (1] = Y/AN) as a function of capital per effective worker (I = K/AN). c) What are the steady state values of gt} and A: d) Does this model adhere to all the classical Kaldor facts of economic growth? Show mathematically for each fact