Provide an Appropriate Response $$\text { Determine the point on the paraboloid } z = 9 x ^ { 2 } + 2 y ^ { 2 } \text { that is closest to the point } ( 57 , - 10,88 ) \text {. }$$

Provide an appropriate response.
- $$\text { Determine the point on the paraboloid } z = 9 x ^ { 2 } + 2 y ^ { 2 } \text { that is closest to the point } ( 57 , - 10,88 ) \text {. }$$

A) (-2, 3, 54)
B) (2, 3, 54)
C) (3, 2, 89)
D) (3, -2, 89)