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:

Accounting Equation

The fundamental principle of accounting that states Assets = Liabilities + Equity, which must always be in balance for accurate financial reporting.

Net Income

Net income is the total profit of a company after all expenses, including taxes and operational costs, are subtracted from its total revenue.

Total Liabilities

The sum of all financial obligations a company has to external parties, including both short-term and long-term debts.

Accounting Equation

The fundamental formula in accounting that states assets equal liabilities plus equity (Assets = Liabilities + Equity).