At What Point Is the Following Function a Local Maximum $f ( x , y ) = 3 - 10 x + 12 y - 5 x ^ { 2 } - 6 y ^ { 2 }$

question 102

Multiple Choice

At what point is the following function a local maximum? $f ( x , y ) = 3 - 10 x + 12 y - 5 x ^ { 2 } - 6 y ^ { 2 }$

• A) \(( 1,1 )\)
• B) \(( - 1,1 )\)
• C) \(( 3,1 )\)
• D) \(( 0,1 )\)
• E) \(( 1 , - 1 )\)

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Definitions:

Division's

Relates to a separate part of a larger organization, typically responsible for a specific operation or function.

Residual Income

Income that remains after all costs of capital have been deducted from net operating income, a measure of profitability.

Division

A distinct part of a larger company that operates semi-independently, typically focusing on a particular product line or market sector.

ROI Calculations

The process of determining the return on investment by dividing the net profit by the initial cost of the investment.