2. Aggregation across goods UMP: max u(x, z) S.t. px+ gz=w Let p=f(p),x=g(x) and set max U(x, z) S.t. px t qz=w Solution x(p, q, w)=g(x'(p, q, w), how can we get it2.Aggregation across goods • UMP: • Let: and set: • Solution ,how can we get it. max ( ) . . u s t w + = x,z px qz p f x g = = ( ), ( ) p x max ( ) . . x U x s t px w + = , z , z qz x p w g w ( , , ) ( ( , , ))   q x p q =