And $f _ { y } ( x , y ) = 0$

question 53

Multiple Choice

$\text { For } f ( x , y ) = x ^ { 2 } - x y + y ^ { 2 } - 5 x + y \text { find all values of } x \text { and } y \text { such that } f _ { x } ( x , y ) = 0$ and $f _ { y } ( x , y ) = 0$ simultaneously.

• A) \(x = 4 ; y = 2\)
• B) \(x = 3 ; y = 1\)
• C) \(x = 5 ; y = 1\)
• D) \(x = 7 ; y = 3\)
• E) \(x = 2 , y = 0\)

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Definitions:

Production Costs

The total expenses incurred in the manufacturing of a product, including labor, materials, and overhead.

Wage Rates

The standardized amount of compensation paid to an employee by an employer in exchange for labor, typically measured per hour or piece of work.

Labor Costs

Represents the total expenditure by businesses for paying their employees, including wages, benefits, and taxes associated with employing labor.

Production Costs

The total expenses incurred in the process of creating and manufacturing a product or service.