Find the marshallian demands using given information

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Question: Jane's utility function has the following form:

U(x,y) = 3x2 + xy

The prices of r and y are p and py respectively. Jane's income is I.

(a) Find the Marshallian demands for x and y and the indirect utility function when px > 6py. (This condition is required to make sure that there is no corner solution. You can therefore ignore corner solutions.)

(b) Without solving the cost minimization problem, recover the Hicksian demands for x and y and the expenditure function from the Marshallian demands and the indirect utility function when px > 6py. (This condition is required to make sure that there is no corner solution. You can therefore ignore corner solutions.)

(c) Write down the Slutsky equation determining the effect of a change in px on the demand of x. (No need to use results in the previous parts.) Indicate which compo- nent represents the total price effect, which component represents the substitution effect, and which component represents the income effect.

(d) Now assume that px = 10, py = 1, and I = 49. Using the Slutsky equation from part (c) compute the total, substitution, and income effect of a change in px on the demand of x when px > 6py. (You can ignore the possibility of a corner solution).

Reference no: EM132207772

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