Find the Extreme Values of the Function Subject to the Given

Multiple Choice

Find the extreme values of the function subject to the given constraint.
- $$f ( x , y ) = 4 x + 6 y , x ^ { 2 } + y ^ { 2 } = 13$$

A) Maximum: 26 at (2, 3) ; minimum: 0 at (0, 0)
B) Maximum: 36 at (3, 4) ; minimum: 0 at (0, 0)
C) Maximum: 26 at (2, 3) ; minimum: -26 at (-2, -3)
D) Maximum: 36 at (3, 4) ; minimum: -36 at (-3, -4)