Find the Absolute Maxima and Minima of the Function on the Given

Multiple Choice

Find the absolute maxima and minima of the function on the given domain.
- $$f ( x , y ) = 8 x ^ { 2 } + 9 y ^ { 2 } \text { on the closed triangular region bounded by the lines } y = x , y = 2 x \text {, and } x + y = 6$$

A) Absolute maximum: 153 at (3, 3) ; absolute minimum: 0 at (0, 0)
B) Absolute maximum: 153 at (3, 3) ; absolute minimum: 68 at (2, 2)
C) Absolute maximum: 176 at (2, 4) ; absolute minimum: 0 at (0, 0)
D) Absolute maximum: 176 at (2, 4) ; absolute minimum: 153 at (3, 3)