This yields F.o.C 1-)pU/(Y-pD)=(1-p)U(Y-z+1-p U(Y-pI T I U(r-Z+1-pl) Differentiation yields (1-)U/(Y-p)+(1-m)pl(Y-p)-U/(Y-z+p)-m(1-p)lU(Y-z+p (1-m)p2U"(Y-pD)-(1-p)2"(Y-z+lpThis yields F.O.C. 1  pU Y  pI  1  pU Y  Z  I  pI U Y  pI U Y  Z  I  pI   1   1  p p Differentiation yields: I p  1U YpI1pIUYpIU YZIpI1pIUYZIpI 1p2UYpI1p2UYZIpI