Consider the following production function:

Y (t) = F (K(t),A(t)N (t)),

where Y (t) denotes output, K(t) denotes total capital input, A(t) denotes knowledge,and N (t) denotes total labour input. F (,) is the aggregate production function. Note thatA(t)N (t) is commonly referred as effective labour, and technological progress that enters the production function in this fashion is known aslabour-augmenting or Harrod-neutral.

a) Derive the intense form (per unit of effective labour) of the production function, using the abstract production function above.