Find the Extreme Values of the Function Subject to the Given

question 394

Multiple Choice

Find the extreme values of the function subject to the given constraint.
- $$f ( x , y ) = 4 x + 6 y , x ^ { 2 } + y ^ { 2 } = 13$$

• A) Maximum: 26 at (2, 3); minimum: 0 at (0, 0)
• B) Maximum: 36 at (3, 4); minimum: 0 at (0, 0)
• C) Maximum: 26 at (2, 3); minimum: -26 at (-2, -3)
• D) Maximum: 36 at (3, 4); minimum: -36 at (-3, -4)

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Definitions:

Marginal Analysis

A method used in economics and decision-making that examines the costs and benefits of making small (marginal) adjustments to the quantity of a good or service.

Economic Terms

Vocabulary and phrases specific to the study and practice of economics, encompassing theories, models, and real-world financial practices.

Additional Exercise

Additional physical activity or workouts beyond one's regular routine, often aimed at improving fitness or health.

Margin Decision

Decision-making process that involves considering the incremental costs or benefits resulting from a particular action or choice.