Solve the System of Equations by Using the Inverse of the Coefficient

question 107

Multiple Choice

Solve the system of equations by using the inverse of the coefficient matrix.
- $\begin{array}{rr}x-2 y+3 z & =3 \\y-z+w & =-6 \\-2 x+2 y-2 z+4 w & =-18 \\2 y-3 z+w & =-10\end{array}$

• A) \( (-2,3,3,-6) \)
• B) \( (-2,2,3,-5) \)
• C) \( (-3,2,4,-5) \)
• D) \( (-1,1,2,-4) \)

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Definitions:

Factory Overhead

All indirect costs associated with manufacturing, including utilities, rent, and salaries for managers.

Direct Materials

Basic substances that can be directly linked and attributed to the creation of particular products or services.

Direct Labor

The work of factory employees that can be directly associated with converting raw materials into finished goods.

Total Manufacturing Costs

The aggregate expenses involved in the manufacture of products, including direct materials, direct labor, and manufacturing overhead.