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9.3* sup od bes sidel The following are intended to explore what kinds of cross-price demand relationships are logically possible in a two-good model



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9.3* sup od bes sidel The following are intended to explore what kinds of cross-price demand relationships are logically possible in a two-good model with exogenous income. A. For each of the following, indicate whether the relationship is possible or not and explain: A good is normal and its crospie relationshegative. a. A good is normal and its cross-price demand relationshin b. C. A good is inferior and its cre d. e. Tastes are homoth and one of the good's ass price relationship egative. Taste are homothetic and one of the good's cross-price relationship is positive. B. Now consider specific tastes represented by particular utility functions. a. b. C. Suppose tastes are represented by the function u(x1,x2) = a ln x1 + x2. What is the shape of the cross-price demand curves for x and x2? X1 Suppose instead tastes are Cobb-Douglas. What do cross-price demand curves look like? Now suppose tastes can be represented by a CES utility function. Without doing any math, can you determine for what values of p the cross-price demand relationship is upward sloping? d.** Suppose tastes can be represented by the CES function u(x1,x2) = (0.5x + 0.5x2)-1/p. Verify your intuitive answer from part (c).

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