In: Economics
The utility that James 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. James has $12 to spend on X and Y. Graph the budget line that he faces.
5.3) Derive James' 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 James buys 3 units of X and 3 units of Y with her $12 budget. What is his MRS of X for Y? What is he willing to do to have his MRS equal to the price ratio?
Just the solution to 5.5 please.