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Question 1: The Solow growth model with effective labour and human capital [40 Marks] Consider a simple growth model with population growth, labour-augmenting tech- nology growth, and human and physical capital. Suppose that the aggregate production function takes the following form: Y() = K()"H() [A(t)N(t)]1-8-F. (1) where Y (t) denotes output, K(t) physical capital, and H(t) human capital. N(t) is labour, and A(t) denotes labour productivity. Note that A(t)N(t) is commonly referred as effect tive labour. Assume a > 0, 8 > 0 and a + 8