3. For the following utility functions: 1. U(X, Y)= XY² 2. 3. U(X, Y)= X² + Y² U(X, Y)= XY + 10Y a. Write the general equation of the MRS for each utility function. b. Write the equation for the indifference curve where utility is equal to 100 for each utility function. c. Determine whether these indifference curves for each of the utility functions are convex (that is, whether the MRS decreases as x increases) or are concave (and thus violate an assumption about preferences).

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