Please answer all the questions thanks Question 1: The Solow growth model with effective labour and human capital [40 Marks] Consider a growth model with population growth, labour-augmenting technology growth, and human and physical capital. Suppose that the aggregate production function takes the following form: Y(t)=K(t)H(t)[A(t)N(t)]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 effective labour. Assume >0,>0 and +0,>0 and +