Consider the following five utility functions.

G(x,y) = (x)^1/2 + y

H(x,y) = (x+1)^1/2 + y + 1

L(x,y) = ln(x) + y

U(x,y) = x e^y

W(x,y) = 100 x - 4x² + 3 y

Z(x,y) = -(100 - x)² -3 (y-200)²

Which function or functions represent the same preferences as U?

a.G

b.U

c.None.

d.W

e.Z

f.L

g.H