The utility function U = (x, y) is a measure of the utility (or satisfaction) derived by

The utility function U = ƒ(x, y) is a
measure of the utility (or satisfaction) derived by a person
from the consumption of two products x and y. The utility
function for two products is

(a) Determine the marginal utility of product x.

(b) Determine the marginal utility of product y.

(c) When x = 2 and y = 3, should a person consume one more unit of product x or one more unit of product y? Explain your reasoning.

(d) Use a computer algebra system to graph the function. Interpret the marginal utilities of products x and y graphically.

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U = -5x² + xy - 3y².