Use Cramer's Rule Along with a Graphing Utility to Solve

question 2

Multiple Choice

Use Cramer's rule along with a graphing utility to solve the system. $$\left\{ \begin{aligned}2 A - B - 3 C + 2 D = & - 4 \\A - 2 B + C - 3 D = & 8 \\3 A - 4 B + 2 C - 4 D = & 24 \\2 A + 3 B - C - 2 D = & - 8\end{aligned} \right.$$

• A) \(( 4,2,6,0 )\)
• B) \(( 4 , - 2,6,0 )\)
• C) \(( - 4,2 , - 6 , - 2 )\)
• D) \(( 4 , - 2,6,2 )\)
• E) \(\text { The system is inconsistent. }\)

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Definitions:

Idle Time

The time period in which resources, such as machines or employees, are available but not in use or production.

Production Lead Time

The total time required to manufacture an item, including the wait, preparation, and processing times, from the beginning of production to the product’s completion.

Idle Time

The time period during which production resources are not being used effectively due to factors like machine breakdowns, inefficient scheduling, or lack of orders.

Production Process

The production process involves the steps, operations, and methods used to transform raw materials into finished products, encompassing both manufacturing and service delivery.