You spent all day calculating the Marshal Demands, Expenditure Function, Indirect utility and Hicks Demand for the consumers in a specific economy. But alas, the fifth- dimensional trickster imp Mr. Mxyzpolk stole all your calculations! And to add insult to injury, Perry White is expecting a full calculation of the General Equilibrium for The Daily Planet's economic section! But not to worry, you managed to recover the expenditure function for the consumers. The expenditure function for person 1 is e(P,, p2, u) = (u+1)p, -pin(2) and for person 2 it is also e(P1, P2, u) = (u+1)p, -pin(2). The endowments are as follows: w1 = (6,2) and w/2 = (4, 8). Calculate the general equilibrium of this economy. . Hint 1: Use what we studied in the duality lecture. . Hint 2: Can you obtain indirect utility form the expenditure function? How can this help you obtain the Marshall Demands? . Hint 3: If you want to obtain Hicks demands from expenditure function, you may want to use Shepard's Lemma. You may also use the following derivatives when calculating Shepard's Lemma: 1p, de = 1-In(2) and de Pz 3 . Hint 4: Remember that we can obtain Marshall Demands from Hicks demands and the indirect utility