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:

Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, expressed as a ratio or percentage.

Tax

Mandatory financial charge or some other type of levy imposed upon a taxpayer by a governmental organization in order to fund various public expenditures.

Buyer

An individual or entity that purchases goods or services for personal use or consumption.

Tax

Tax is a compulsory financial charge levied by a government on individuals, corporations, or transactions to fund public expenditures.