Ereicise3

Exercise 3. (6 points) Consider a consumer with preferences > dened over the feasible set R2+ as below. Let a = (xa, ya) and b = ()q1 , ya) be two generic feasible bundles then a>b ifandonlyif yazyb-l Notice that the only if statement implies that lfya ya + I then b is strictly preferred to a. $0, the statement defines both when a bundle is weakly preferred to another and when a bundle is strictly preferred to another. Consider the bundle z = (4,4). In a graph, illustrate the bundle and highlight its indifference set. Keep in mind that the indifference set is the set of all feasible allocations that the consumer likes just as much as z. You can find this set by looking for the intersection (overlap) between the bundles' Upper Contour Set (the set of allocations the consumer likes at least as much as 2) and Lower Contour Set (the set of allocations the consumer likes at most as much as 2). Exercise 4. (16 points) Considera consumer with a utility function U(x, y) = x05 + 4y0'5. a) Compute the expression of the consumer's MRS as a function of x and y. Page 2