Suppose that the utility function for two goods X and Y is given by U = x2y.

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Suppose that the utility function for two goods X and Y is given by U = x2y.
(a) Write the equation of the indifference curve for a consumer who purchases 6 units of X and 15 units of Y.
(b) If the consumer purchases 60 units of Y, how many units of X must be purchased to retain the same level of utility?
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