2. Consider a consumer with utility u(x1,*2) = .5Inx1 +.5Inx2. (a). Does this consumer have preferences that have the "increasing dif- ference" property between the two goods? How about the "strict increasing difference" property? In answering this question, define both the "increasing difference property" and the "strict increasing difference (b) In part (a), does there exist an equivalent utility representation that has the "strict increasing difference" property in both goods? If so, give an example of such an equivalent utility representation