Skip to main contentSkip to solution

Match List-I with List-II

List-IList-II
(A) Production function(I) f(tx1,tx2)>tf(x1,x2)f(tx_1, tx_2) > t f(x_1, x_2)
(B) Constant returns to scale(II) f(tx1,tx2)<tf(x1,x2)f(tx_1, tx_2) < t f(x_1, x_2)
(C) Increasing returns to scale(III) f(x1,x2)f(x_1, x_2)
(D) Decreasing returns to scale(IV) f(tx1,tx2)=tf(x1,x2)f(tx_1, tx_2) = t f(x_1, x_2)

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 4

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

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question