Is the Ordered Triple a Solution to the Given System $9 x - 9 y - 6 z = - 11$

question 26

Multiple Choice

Is the ordered triple a solution to the given system of equations?
- $9 x - 9 y - 6 z = - 11$
$6 x + 3 y - 3 z = 1$
$x - y + 2 z = - 3$

• A) \(\left( \frac { 2 } { 3 } , 1 , - \frac { 2 } { 3 } \right)\)
• B) \(\left( \frac { 1 } { 9 } , 0,2 \right)\)
• C) \(\left( - \frac { 2 } { 3 } , 1 , - \frac { 2 } { 3 } \right)\)
• D) \(\left( - \frac { 2 } { 3 } , - \frac { 2 } { 3 } , 1 \right)\)

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Definitions:

Marginal Cost

The cost of producing one additional unit of a product, a key concept in economic theory that helps firms optimize production and pricing strategies.

Average Product

The output produced per unit of a factor of production, calculated by dividing total product by the quantity of the input used in production.

Marginal Product

The additional output resulting from the use of one more unit of a factor of production, holding other factors constant.

Factor Demand

The demand for productive resources (like labor, land, and capital) that businesses need to produce goods and services.