The Following Matrix Equation Is Equivalent to Which System of Linear

question 66

Multiple Choice

The following matrix equation is equivalent to which system of linear equations $\left[ \begin{array} { c c c } 5 & - 1 & 4 \\0 & 2 & 3 \\1 & 5 & 0\end{array} \right] \cdot \left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } 50 \\- 30 \\90\end{array} \right]$

• A) \(\left\{ \begin{array} { l }
• 8 x = 50 \\
• 5 y = - 30 \\
• 6 z = 90
• \end{array} \right\}\)
• B) \(\left\{ \begin{aligned}
• 5 x - y + 4 z - 50 & = x \\
• 2 y + 3 z + 30 & = y \\
• x + 5 y - 90 & = z
• \end{aligned} \right\}\)
• C) \(\left\{ \begin{array} { r }
• 5 x - y + 4 z + 50 = 0 \\
• 2 y + 3 z - 30 = 0 \\
• x + 5 y + 90 = 0
• \end{array} \right\}\)
• D) \(\left\{ \begin{aligned}
• 5 x - y + 4 z & = 50 \\
• 2 y + 3 z & = - 30 \\
• x + 5 y & = 90
• \end{aligned} \right\}\)
• E) \(\left\{ \begin{aligned}
• 5 x + z & = 50 \\
• - x + 2 y + 5 z & = - 30 \\
• 4 x + 3 y & = 90
• \end{aligned} \right\}\)

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Definitions:

FIFO Method

An accounting method where the oldest inventory items are recorded as sold first.

Equivalent Units Of Production

A calculation used in process costing that converts partially completed goods into a number of fully completed units.

Conversion Costs

The combined costs of direct labor and manufacturing overheads incurred to convert raw materials into finished products.

Weighted-Average Method

An inventory costing method that calculates the cost of goods sold and ending inventory based on the average cost of all units available for sale.