The Production Function in the Table Below Exhibits Decreasing Marginal

question 13

Multiple Choice

The production function in the table below exhibits decreasing 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

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Definitions:

Special Project

A designated set of tasks or activities aimed at achieving a specific goal or outcome, often outside of routine operations.

Relevant Cost

refers to the costs that will be affected by a decision in the future and, thus, should be considered in decision-making processes.

Discounted Price

A reduced price offered on goods or services, usually for a limited time or under certain conditions.

Joint Product

Products that are generated simultaneously during the same manufacturing process but are of equal importance and value.