3. Consider the utility function (, ) = +21+1

(a) Find the equation for the marginal utility for and one for marginal utility of y.

(b) Find an equation of the form = () that describes the indifference curve for

utility equal to -1/2.

(c) Argue that the utility values all lie in the interval [1,0]

(d) Does the utility function (, ) = + 2 represent the same preferences as

(, )?

(e) Does the utility function (, ) = + represent the same preferences as

(, )