The Production Function in the Table Below Exhibits Negative Marginal

Multiple Choice

The production function in the table below exhibits negative marginal returns to capital over what output range?
$$\begin{array}{l}\text { Production Function far God } \mathbf { X }\\\begin{array} { l l l l l } L ^ { * } & K & Q & M _ { K } = ( \Delta Q / \Delta K ) & \begin{array} { l } \mathbf { M P } _ { K } = ( Q / K ) \\\text { Mverage }\end{array} \\\text { Labor } & \text { Capital } & \text { Output } & \begin{array} { l } \text { Product of } \\\text { Capital }\end{array} & \begin{array} { l } \text { Product of } \\\text { Capital }\end{array} \\9 & 0 & 0 & - & - \\9 & 10 & 57 & 5.7 & 5.70 \\9 & 20 & 324 & 26.7 & 16.20 \\9 & 30 & 657 & 33.3 & \mathbf { B } \\9 & 40 & 1,072 & 41.5 & 26.80 \\9 & 50 & 1,524 & 45.2 & 30.48 \\9 & 60 & 1,976 & 45.2 & 32.93 \\9 & 70 & 2,391 & 41.5 & 34.16 \\9 & 80 & 2,724 & 33.3 & 34.05 \\9 & 90 & 2,991 & \mathbf { A } & 33.23 \\9 & 100 & 3,048 & 5.7 & 30.48 \\9 & 110 & 3,016 & - 3.2 & 27.42 \\9 & 120 & 2,945 & - 7.1 & 24.54\end{array}\end{array}$$

A) Between 0 and 1,524
B) Between 0 and 2,991
C) Between 2,391 and 3,048
D) Between 3,016 and 2,945