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

Question 173

Multiple Choice

Find the absolute maxima and minima of the function on the given domain.
-f(x, y) = 5x + 10y on the closed triangular region with vertices (0, 0) , (1, 0) , and (0, 1)


A) Absolute maximum: 5 at (1, 0) ; absolute minimum: 0 at (0, 0)
B) Absolute maximum: 15 at (1, 1) ; absolute minimum: 5 at (1, 0)
C) Absolute maximum: 10 at (0, 1) ; absolute minimum: 0 at (0, 0)
D) Absolute maximum: 10 at (0, 1) ; absolute minimum: 5 at (1, 0)

Correct Answer:

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