An aggregate production function F(K,L) gives you how much (aggre-gate) output Y can be produced using (aggregate) inputs K and L, i.e. Y = F (K,L). For each of the following production functions (a) Determine whether they have constant returns to scale. (b) Can you write the per worker production function y = f(k)? That is, can you find an expression for output per worker y in terms of capital per worker k only?

F(K,L)= 8K+L F(K,L)=3K^2+2L^2 F(K,L)=2K^0.6 + 5L^0.6   F(K,L)=K^4/L^2 F(K,L)=K^3/L^2

F(K,L)=K^1/4 L^3/4