Match List-I with List-II
List-I List-II (A) Production function (I) (B) Constant returns to scale (II) (C) Increasing returns to scale (III) (D) Decreasing returns to scale (IV)
Choose the correct answer from the options given below:
Match List-I with List-II
| List-I | List-II |
|---|---|
| (A) Production function | (I) |
| (B) Constant returns to scale | (II) |
| (C) Increasing returns to scale | (III) |
| (D) Decreasing returns to scale | (IV) |
Choose the correct answer from the options given below:
Solution
Option 4: (A) - (III), (B) - (IV), (C) - (I), (D) - (II) -> Let's match each concept correctly:
(A) Production function: This is the general functional form representing the relationship between inputs and output, denoted as f(x₁, x₂). So (A) matches with (III).
(B) Constant returns to scale: When all inputs are scaled by factor t, output scales by exactly the same factor t. Mathematically: f(tx₁, tx₂) = t·f(x₁, x₂). So (B) matches with (IV).
(C) Increasing returns to scale: When all inputs are scaled by factor t, output increases by MORE than factor t. This means: f(tx₁, tx₂) > t·f(x₁, x₂). So (C) matches with (I).
(D) Decreasing returns to scale: When all inputs are scaled by factor t, output increases by LESS than factor t. This means: f(tx₁, tx₂) < t·f(x₁, x₂). So (D) matches with (II).
Returns to scale measure how output responds when all inputs are proportionally increased. The inequalities with 't' precisely capture whether output grows proportionally (=), more than proportionally (>), or less than proportionally (<) relative to input changes. -> correct
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