Find the System of Linear Equations Represented by the Augmented $$\left[ \begin{array} { c c c c } 1 & -4 & \vdots & 6 \\0 & 1 & \vdots & - 5\end{array} \right]$$

question 111

Multiple Choice

Find the system of linear equations represented by the augmented matrix.Then use back substitution to solve.(Use variables x, y, z, and w if applicable.) $$\left[ \begin{array} { c c c c } 1 & -4 & \vdots & 6 \\0 & 1 & \vdots & - 5\end{array} \right]$$

• A) \(\left\{ \begin{aligned}
• x + 4 y & = 6 \\
• y & = - 5
• \end{aligned} \right.\) (-14, -5)
• B) \(\left\{ \begin{aligned}
• x - 4 y & = 6 \\
• y & = - 5
• \end{aligned} \right.\) (-14, -5)
• C) \(\left\{ \begin{aligned}
• x - 4 y & = 6 \\
• y & = - 5
• \end{aligned} \right.\) (-14, 5)
• D) \(\left\{ \begin{aligned}
• x + 4 y & = 6 \\
• y & = - 5
• \end{aligned} \right.\) (-5, -14)
• E) \(\left\{ \begin{aligned}
• x - 4 y & = 6 \\
• y & = - 5
• \end{aligned} \right.\) (-5, -14)

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Definitions:

Demand Rate

The speed at which products or services are requested or consumed by the market or customers, influencing inventory levels and production planning.

Economic Order Quantity Model

A formula used in inventory management for determining the optimal order size that minimizes the total costs of holding inventory and ordering.

Setup Cost

The cost incurred to prepare equipment or processes for production.

Holding Cost

The expenses incurred by storing unsold goods, encompassing warehousing, insurance, and spoilage costs.