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

question 248

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)

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