Consider the following five utility functions.

G(x,y) = x² + 3 y²

H(x,y) =ln(x) + ln(2y)

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

U(x,y) =x y

W(x,y) = (4x+2y)²

Z(x,y) = min(3x ,y)

In the case of which function or functions can the Method of Lagrange be used to find the complete solution to the consumer's utility maximization problem?

a.

H

b.

U

c.

G

d.

Z

e.

L

f.

W

g. None.