The Production Function in the Table Below Exhibits Negative Marginal

question 146

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

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Definitions:

Free Cash Flow

The cash that a business produces after deducting cash outflows needed for operational activities and the upkeep of its fixed assets.

Cash Dividends

Distributions of earnings paid to shareholders in the form of cash.

Free Cash Flow

The amount of cash a company generates after accounting for cash outflows to support operations and maintain its capital assets.

Capital Expenditures

Funds used by a company to acquire or upgrade physical assets such as property, industrial buildings, or equipment to improve its long-term performance and efficiency.