CUET-PG 2025 Question 70: Production and returns to scale

Match List-I (Types of Production Functions) with List-II (Their Functional Forms): List-I: (A) Translog Production Function; (B) Generalised Leontief Production Function; (C) Cobb Douglas Production Function; (D) Constant Elasticity of Substitution Production Function. List-II: (I) $q = \prod_{i=1}^{n} x_i^{\alpha_i}$; (II) $q = [\sum \alpha_i x_i^{\rho}]^{\varepsilon/\rho}, \rho \le 1$; (III) $q = \sum_i \sum_j \alpha_{ij}\sqrt{x_i x_j}$, where $\alpha_{ij}=\alpha_{ji}$; (IV) $\ln q = \alpha_0 + \sum \alpha_i \ln x_i + 0.5\sum_i\sum_j \alpha_{ij}\ln x_i \ln x_j$, where $\alpha_{ij}=\alpha_{ji}$.