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Esther consumes goods X and Y, and her utility function is U(X, Y) = XY + Y. For this utility function, MUX = Y MUY = X + 1. a. What is Esther s MRSXY? Do her preferences satisfy the declining MRS property? b. Suppose her daily income is $20, the price of X is $4 per unit, and the price of Y is $1 per unit. What is her best choice? What is the (own) price elasticity of her demand for good Y starting with these prices and income? At what price for good Y is Esther s expenditure on good Y largest? c. Suppose the price of good Y rises to $4 per unit. What is her new consumption bundle? Decompose the change in her purchases into income and substitution effects. What is Esther s compensating variation for the price change?
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