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Marta consumes only goods X and Y and faces the following utility function: U = 9 X + 5 Y. The marginal utility for X

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Marta consumes only goods X and Y and faces the following utility function: U = 9 X + 5 Y. The marginal utility for X is MU y = 9 and the marginal utility for Y is MUy = 5 . The price of X is $10 and the price of Y is $2.5. Marta has an initial budget of $200. How many of X and Y will Marta buy given her utility function, her budget, and the prices? X= Number Y= Number Suppose that the government places a restriction on Y so that Marta can only buy 70 Y. How much of X must Marta buy in order to achieve the same level of utility prior to the restriction? Number (Round to the nearest 2 decimals places, we will NOT give marks for answers with rounding errors.) What is the corresponding compensating variation? Number (Round to the nearest 2 decimals places, we will NOT give marks for answers with rounding errors.)

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