Provide an Appropriate Response $f ( x , y )$ Given That

Multiple Choice

Provide an appropriate response.
-Find any local extrema (maxima, minima, or saddle points) of $f ( x , y )$ given that $f _ { x } = 8 x - 24$ and $f _ { y } = 2 y - 4$ .

A) Local maximum at (3, 2)
B) Saddle point at (2, 3)
C) Local maximum at (2, 3)
D) Local minimum at (3, 2)