Joe Bob Has a Cousin Sam Who Consumes Goods

Multiple Choice

Joe Bob has a cousin Sam who consumes goods 1 and 2.Sam thinks that 2 units of good 1 is always a perfect substitute for 4 units of good 2.Which of the following utility functions is the only one that would not represent Sam's preferences?

A) U(x₁, x₂) =16x²₁ + 16x₁x₂ + 4x²₂.
B) U(x₁, x₂) =min{4x₁, 2x₂}.
C) U(x₁, x₂) =40x₁ + 20x₂ - 10,000.
D) U(x₁, x₂) =4x₁ + 2x₂ +1000.
E) More than one of the above does not represent Sam's preferences.