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Zeus spends his pension (2279.4 dollars per year) on only two goods: good X and good Y. His utility function is given by U(x,y) =min(8.1x,4.5y)

Zeus spends his pension (2279.4 dollars per year) on only two goods: good X and good Y. His utility function is given by

U(x,y) =min(8.1x,4.5y)

If the price of good X increases by 9.2% and the price of good Y increases by 9.9%, by how many dollars must Zeus' pension rise such that his utility remains the same?

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