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Match List-I with List-II

List-IList-II
(A) Production function(I) x1αx2βx_1^α x_2^β
(B) Constant return to scale(II) α+β=1α + β = 1
(C) Increasing return to scale(III) α+β<1α + β < 1
(D) Decreasing return to scale(IV) α+β>1α + β > 1

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 3

Option 3: (A) - (I), (B) - (II), (C) - (IV), (D) - (III) -> For a Cobb-Douglas production function f(x₁, x₂) = x₁^α x₂^β, returns to scale are determined by the sum of exponents (α + β). (A) Production function matches with (I) x₁^α x₂^β as this is the functional form. (B) Constant returns to scale occurs when α + β = 1, meaning output increases proportionally with inputs. (C) Increasing returns to scale occurs when α + β > 1, meaning output increases more than proportionally. (D) Decreasing returns to scale occurs when α + β < 1, meaning output increases less than proportionally with inputs. -> correct

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