The utility that Jane receives by consuming good X and good Y is given by u(X,Y)...

The utility that Jane receives by consuming good X and good Y is given by u(X,Y) = XY.

5.1) Draw the indifference curve associated with a utility level of 12 and the indifference curve associated with the utility level of 36.

5.2) Suppose that X costs $1 per unit and Y $3 per unit. Jane has $12 to spend on X and Y. Graph the budget line that she faces.

5.3) Derive Jane’s demand functions. What is the utility-maximizing choice of X and Y (solve the problem both mathematically and graphically).

5.4) What is the marginal rate of substitution of X for Y when utility is maximized? Give a concise explanation of the meaning of the marginal rate of substitution.

5.5) Suppose Jane buys 3 units of X and 3 units of Y with her $12 budget. What is her MRS of X for Y? What is she willing to do to have her MRS equal to the price ratio?

5.6) Suppose the price of X increases to $2, X=3 and Y=3. How much extra income does the agent need to compensate her for the price rise, so that the original bundle is affordable?

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Rahul Sunny answered 1 year ago

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