Use Lagrange Multipliers to Solve the Problem $f ( x , y ) = 3 x y$

question 104

Multiple Choice

Use Lagrange Multipliers to solve the problem.
Find the maximum value of $f ( x , y ) = 3 x y$ subject to $x ^ { 2 } + y ^ { 2 } = 8$ .

• A) \(f _ { \max } = 24\)
• B) \(f _ { \max } = 12\)
• C) \(f _ { \max } = 17\)
• D) \(f _ { \max } = 7\)
• E) \(f _ { \max } = 32\)

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Definitions:

Income Subdivision

Income subdivision is the process of breaking down income into various categories or sections for detailed analysis and reporting.

Forecasting

The process of making predictions about future events, often involving the analysis of data and trends to inform business decisions.

Net Income Recognition

Net income recognition refers to the point at which revenues minus expenses are realized and reported in the financial statements, determining the profitability of a company for the period.

Net Assets

The total value of an entity's assets minus its liabilities, representing the owners' equity.