Problem 6. We learned, in Lecture 4, that the utility maximization problem and the er- penditure minimization problems are dual problems and Marshallian/ Walrasian demand and Hicksian demand satisfy the following: h(p, u) = x(p, e(p, u)) and v(p. e(p, u)) = u (1) r(p. w) = h(p, v(p, w)) and e(p, v(p, w)) = w (2) Suppose a consumer has utility function u(31, x2) = 2132. If h(p1, p2, u) = =(p1, p2, w), and p1 = 2, p2 = 1, u = 12, then find w. Which of the above equations did you use in your