A consumer who buys X and Y has a utility function of U = X1/3y2/3 and faces a marginal rate of transformation of -1 Y per X. Which statement is most correct based on this information? a) This consumer will maximize utility by consuming half as much Y as X. b) If this consumer decides to consume 3X and 4Y, then her marginal rate of substitution is smaller than the marginal rate of transformation. c) If this consumer has 30 to spend and the price of X is 5, then she will reach a utility level of 4. d) All of the above are correct. e) Both a) and b) are correct. f) Both a) and c) are correct. g) Both b) and c) are correct. h) None of the above is correct.

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