Find the Absolute Minimum Value of the Function $$f ( x , y ) = 6 + 3 x y - 2 x - 4 y$$

Multiple Choice

Find the absolute minimum value of the function
$$f ( x , y ) = 6 + 3 x y - 2 x - 4 y$$
on the set $D . D$ is the region bounded by the parabola $y = x ^ { 2 }$ and the line $y = 4$
Select the correct answer.

A) $- 31$
B) $- 30$
C) 30
D) $- 32$
E) 0