For each of the following derive the Marshallian Demand, the Hicksian Demand, the Expenditure function, and the Indirect Utility function: ( Assume interior solution in all cases except (b) )

(a)u(x1,x2)=[x?1+x?2]?1 where0

(b) u(x1, x2) = ?x1 + ?x2 where ?, ? > 0

(c) u(x1, x2) = min{?x1, ?x2} where ?, ? > 0

1. (20 points) For each of the following derive the Marshallian Demand, the Hicksian Demand, the Expenditure function, and the Indirect Utility function: ( Assume interior solution in all cases except (b) ) (a) u(x1, X2) = [xi+ x2] where 0 0 (c) u(x1, X2) = min{ax1, Bx2} where a, B > 0