Find the Extreme Values of the Function Subject to the Given

question 102

Multiple Choice

Find the extreme values of the function subject to the given constraint.
-f(x, y) = 12x + 3y, xy = 4, x > 0, y > 0

• A) Maximum: 30 at (2, 2); minimum: 24 at (1, 4)
• B) Maximum: 51 at (4, 1); minimum: 30 at (2, 2)
• C) Maximum: none; minimum: 24 at (1, 4)
• D) Maximum: none; minimum: 30 at (2, 2)

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Definitions:

SSRI

Selective Serotonin Reuptake Inhibitors, a class of drugs typically used as antidepressants in the treatment of major depressive disorder and anxiety disorders.

Serotonin

A neurotransmitter involved in many functions including mood regulation, digestion, and sleep.

Amygdala

A part of the brain located in the temporal lobe, known for its role in processing emotions, especially fear and pleasure.

fMRI Machine

A device used in neuroimaging to measure and map brain activity through changes in blood flow.