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Question 3 Illustrate the following: a) Suppose the utility that one receives from consuming Goods A and B can be either positive or negative, represented by a vector u(u ,u,). When the consumption is enjoyable, the utility is positive and when the consumption becomes a burden, the utility becomes negative. Consider 2 utility combinations uj and uz , where u, = (4, 1) and u2 = (-2,-3) . Illustrate the difference between these two utility levels in a 2-dimensional setting. (5 Marks) b) Expand the setting in Part 1) to a 3-dimensional case, i.e. there now exist 3 commodities A, B and C. Given 3 utility levels u, = DON 0 0 1 = 3 | and us = 0 depict the vector Zu, + U2 + 2us