Q 16

A person with the utility function U(x, y) = 10 + y^{2} + x has convex preferences.

Q 17

A person with the utility function U(x_{1}, x_{2}) = min{x_{1} + 2x_{2}, 2x_{1} + x_{2}} has convex but not strictly convex preferences.

Q 18

If one utility function is a monotonic transformation of another, then the former must assign a higher utility number to every bundle than the latter.