Assignment Dual Problem Consider the dual problem of utility maximization [40] Given the utility function U = (x + 3)(y + 1)and the comstraint xPx + yPy = B a. Write the Lagrange Function? [2] b. Find consumer's Marshallian demand functions x" and ym . [8] c. Find the maximum value function V = V (Px, Py, B). [4] d. Deduce the minimum expenditure E = E(Px, Py, U' ) of the dual problem. [5]. e. Verify Roy's identity. [4] f. Is the second order condition sufficient for maximum satisfied? [5] g. Calculate the comparative statistic derivatives- ax ax ax' ay ay ay and interpret aB ' apx' apy' aB ' apx' aPy the results. [12]