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Let F(x, Y, Z) = Xyz

question 56

Short Answer

Let f(x, y, z) = xyz. Find the point(s) where f(x, y, z) may have a possible relative maximum or minimum, subject to the constraint x + 6y + 3z = 36 and where x > 0, y > 0, z > 0. Use the method of Lagrange multipliers.
Enter your answer as just (a, b, c) where a, b, c are all integers.

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Definitions:

Conditioned Taste Aversion

The acquired dislike or avoidance of a particular food or drink because it has been associated with an unpleasant outcome.

Biological Preparedness

The concept that organisms are inherently inclined to form associations between certain stimuli and responses, facilitating survival-relevant learning.

Psychological Preparedness

refers to an individual's mental readiness and resilience to cope effectively with emergencies, stress, or threats.

Insight Learning

A form of learning characterized by an individual suddenly realizing how to solve a problem without trial-and-error, often involving understanding the underlying principles.

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