Given $A = \left[ \begin{array} { c c } - 9 & 8 \\- 6 & - 5 \\10 & - 16\end{array} \right]$

question 41

Multiple Choice

Given $A = \left[ \begin{array} { c c } - 9 & 8 \\- 6 & - 5 \\10 & - 16\end{array} \right]$ and $B = \left[ \begin{array} { l l } 1 & 0 \\2 & 3 \\0 & 4\end{array} \right]$

, solve $2 X - A = 3 B$ , for $X$

• A) \(X = \left[ \begin{array} { l l l }
• - 3 & 4 & 0 \\
• 5 & 2 & 2
• \end{array} \right]\)
• B) \(X = \left[ \begin{array} { l l }
• 5 & 4 \\
• 0 & 1 \\
• 2 & 2
• \end{array} \right]\)
• C) \(X = \left[ \begin{array} { l l }
• 5 & \frac { 1 } { 2 } \\
• 0 & 2 \\
• 5 & 2
• \end{array} \right]\)
• D) \(X = \left[ \begin{array} { c c }
• - 3 & 4 \\
• 0 & 2 \\
• 5 & - 2
• \end{array} \right]\)
• E) none

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Definitions:

Diseconomies of Scale

A situation where as a firm grows larger, the costs per unit increase, due to factors like coordination and operational inefficiencies.

Diminishing Returns

A principle stating that adding more of one factor of production, while holding others constant, will at some point yield lower incremental per-unit returns.

Short Run

A time period during which at least one input, such as plant size, is fixed and cannot be changed by the firm.

Average Total Cost Curve

A graphical representation showing the average total cost of producing various output levels, typically U-shaped due to economies and diseconomies of scale.