The production function for good X exhibited in the table below is for the:
$$\begin{array}{l}
\text { Production Function far God } \mathbf { X }\
\begin{array} { l l l l l }
L ^ { * } & K & Q & M _ { K } = ( \Delta Q / \Delta K ) & \begin{array} { l }
\mathbf { M P } _ { K } = ( Q / K ) \
\text { Mverage }
\end{array} \
\text { Labor } & \text { Capital } & \text { Output } & \begin{array} { l }
\text { Product of } \
\text { Capital }
\end{array} & \begin{array} { l }
\text { Product of } \
\text { Capital }
\end{array} \
9 & 0 & 0 & - & - \
9 & 10 & 57 & 5.7 & 5.70 \
9 & 20 & 324 & 26.7 & 16.20 \
9 & 30 & 657 & 33.3 & \mathbf { B } \
9 & 40 & 1,072 & 41.5 & 26.80 \
9 & 50 & 1,524 & 45.2 & 30.48 \
9 & 60 & 1,976 & 45.2 & 32.93 \
9 & 70 & 2,391 & 41.5 & 34.16 \
9 & 80 & 2,724 & 33.3 & 34.05 \
9 & 90 & 2,991 & \mathbf { A } & 33.23 \
9 & 100 & 3,048 & 5.7 & 30.48 \
9 & 110 & 3,016 & - 3.2 & 27.42 \
9 & 120 & 2,945 & - 7.1 & 24.54
\end{array}
\end{array}$$
A) long run, since K is the fixed input.
B) short run, since L is the fixed input.
C) long run, since K is the variable input.
D) short run, since L is the variable input.

Question

The production function for good X exhibited in the table below is for the:
$$\begin{array}{l}
\text { Production Function far God } \mathbf { X }\
\begin{array} { l l l l l } 
L ^ { * } & K & Q & M _ { K } = ( \Delta Q / \Delta K ) & \begin{array} { l } 
\mathbf { M P } _ { K } = ( Q / K ) \
\text { Mverage }
\end{array} \
\text { Labor } & \text { Capital } & \text { Output } & \begin{array} { l } 
\text { Product of } \
\text { Capital }
\end{array} & \begin{array} { l } 
\text { Product of } \
\text { Capital }
\end{array} \
9 & 0 & 0 & - & - \
9 & 10 & 57 & 5.7 & 5.70 \
9 & 20 & 324 & 26.7 & 16.20 \
9 & 30 & 657 & 33.3 & \mathbf { B } \
9 & 40 & 1,072 & 41.5 & 26.80 \
9 & 50 & 1,524 & 45.2 & 30.48 \
9 & 60 & 1,976 & 45.2 & 32.93 \
9 & 70 & 2,391 & 41.5 & 34.16 \
9 & 80 & 2,724 & 33.3 & 34.05 \
9 & 90 & 2,991 & \mathbf { A } & 33.23 \
9 & 100 & 3,048 & 5.7 & 30.48 \
9 & 110 & 3,016 & - 3.2 & 27.42 \
9 & 120 & 2,945 & - 7.1 & 24.54
\end{array}
\end{array}$$
A) long run, since K is the fixed input.
B) short run, since L is the fixed input.
C) long run, since K is the variable input.
D) short run, since L is the variable input.

Quizplus · Accepted Answer

The table shows that labor (L) is fixed at 9 units while capital (K) varies, indicating it's a short run production function where at least one input (labor) is fixed.

The Production Function for Good X Exhibited in the Table