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 13

Short Answer

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

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Definitions:

Price Subsidies

Financial assistance provided by the government to lower the cost of goods or services.

Income Subsidies

Financial assistance provided by the government to individuals or groups to help support their income and reduce economic inequality.

Farm Policies

Government rules and programs designed to support farmers, influence agricultural production, stabilize prices, and ensure food security.

Economic Problem

The issue of limited resources with unlimited wants, necessitating choices about what and how to produce for society.