Solve the System A) $( 6 , - 6,4 )$ B) $( 6,6,4 )$

question 127

Multiple Choice

Solve the system. $\left\{ \begin{array} { l } x + \frac { 1 } { 3 } y + z = 12 \\\frac { 1 } { 3 } x - y + \frac { 1 } { 2 } z = - 2 \\x + \frac { 1 } { 2 } y - \frac { 1 } { 2 } z = 7\end{array} \right.$

• A) \(( 6 , - 6,4 )\)
• B) \(( 6,6,4 )\)
• C) \(( - 6,6 , - 4 )\)
• D) The system is inconsistent.
• E) The equations are dependent.

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Definitions:

Variable Costing

An accounting method that includes only variable production costs (direct materials, direct labor, and variable manufacturing overhead) in product cost.

Unit Product Cost

The total cost (both fixed and variable) associated with producing a unit of product, including direct materials, direct labor, and manufacturing overhead.

Absorption Costing

A pricing strategy that incorporates all expenses associated with production - including raw materials, workforce wages, and both fluctuating and constant factory overheads - into a product's cost.

Period Cost

Expenses directly tied to time that are not directly tied to the production process, such as administrative expenses.