Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array} { l } x + 3 y - 2 z - w = 10 \\4 x + y + z + 2 w = 10 \\- 3 x - y - 3 z - 2 w = - 7 \\x - y - 3 z - 2 w = - 3\end{array}$

question 390

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last variable be the arbitrary variable.
$\begin{array} { l } x + 3 y - 2 z - w = 10 \\4 x + y + z + 2 w = 10 \\- 3 x - y - 3 z - 2 w = - 7 \\x - y - 3 z - 2 w = - 3\end{array}$

• A) \(\{ ( 0,5 , - 5,4 ) \}\)
• B) \(\{ ( 10,10 , - 7 , - 3 ) \}\)
• C) \(\{ ( 1 + w , 3 - 2 w , - 1 + 2 w , w ) \}\)
• D) \(\{ ( 1,3 , - 1,2 ) \}\)

Evaluate factors affecting the location strategy of manufacturing and service firms.

Grasp the role of Geographic Information Systems in aiding location decisions.

Apply crossover analysis in selecting among location alternatives.

Assess the impact of exchange rates on location decisions.

---

Definitions:

Boundary-spanning

Involves activities or roles that connect an organization with its external environment, facilitating information flow and coordination between internal and external stakeholders.

Hierarchical Differentiation

The extent to which an organization or system is divided into levels of authority or ranks, creating a hierarchy.

Vertical Specialization

Pertains to the degree of stratification or hierarchy within an organization's structure, where tasks and responsibilities are distinctly defined at different levels.

Total Quality Management Controls

Strategies and tools used in Total Quality Management (TQM) to ensure that products or services meet specific quality standards and customer satisfaction.