Determine Whether There Is a Relative Maximum, a Relative Minimum $f ( x , y ) \text { at the critical point }$

Multiple Choice

Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient information to determine the nature of the function $f ( x , y ) \text { at the critical point }$ $\left( x _ { 0 } , y _ { 0 } \right) \text {, if } f _ { x x } \left( x _ { 0 } , y _ { 0 } \right) = 16 , f _ { y y } \left( x _ { 0 } , y _ { 0 } \right) = - 2 , f _ { x y } \left( x _ { 0 } , y _ { 0 } \right) = - 1$

A) relative maximum
B) relative minimum
C) saddle point
D) insufficient information .