For each of the production functions below, show whether they are increasing, constant, or decreasing returns to scale: (POINTS: 15) (a) F(K,L) = aK +bL+cKL, assume a > 0, b > 0, c > 0. (Points: 5/15) Let > 1 F(K, L) = a(K)+b(L)+c(K)(L) = (aK +bL+cKL) > > (aK +bL+cKL) = F(K,L) IRS (b) F(K,L) = K L , assume (,) (0,1) 2 . (Points: 5/15) Let > 1 F(K, L) = (K) (L) = + K L = = + F(K,L) < F(K,L), if + < 1 DRS = F(K,L), if + = 1 CRS > F(K,L), if + > 1 IRS (c) F(K,L) = min{K 1/3 L 2/3 ,K 2/3 L 1/3 }.