Locate the Maximum of the Function $f ( x , y ) = e ^ { - \left( x ^ { 2 } + y ^ { 2 } + 2 x \right) }$

question 123

Multiple Choice

Locate the maximum of the function. $f ( x , y ) = e ^ { - \left( x ^ { 2 } + y ^ { 2 } + 2 x \right) }$

• A) \(\left( - 1,0 , e ^ { - 1 } \right)\)
• B) \(( 2,0 , e )\)
• C) \(( 1,0 , e )\)
• D) \(( - 1,0 , e )\)
• E) \(( - 2,0 , e )\)

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Definitions:

Equilibrium

A state where market supply and demand balance each other, and as a result, prices become stable.

Consumer's Money Income

The total amount of income a consumer has available to spend and save after taxes have been deducted.

Budget Line

A graphical representation of all possible combinations of two goods which can be purchased with a given budget at specific prices.

Equilibrium Position

A situation in which the supply and demand in the market are equal, leading to stable prices.