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Problem 4 Raul's preferences can be represented by U(x, y) = mintz, y), where a is the number of PS5 games and y is dollars to spend on other things. He faces prices (pr, p, ) = (2, 1), and his income is $12. a) What is Raul's optimal bundle? b) Now suppose that the price of a PS5 game rises to $3. Find the new optimal bundle. c) What is the equivalent variation in income? d) What is the compensating variation in income