Match List-I with List-II
List-I List-II (A) Budget Set (I) (B) Slope of the budget line (II) (C) Horizontal intercept of the budget line (III) (D) Vertical intercept of the budget line (IV)
Choose the correct answer from the options given below:
Match List-I with List-II
| List-I | List-II |
|---|---|
| (A) Budget Set | (I) |
| (B) Slope of the budget line | (II) |
| (C) Horizontal intercept of the budget line | (III) |
| (D) Vertical intercept of the budget line | (IV) |
Choose the correct answer from the options given below:
Solution
Option 2: (A) - (III), (B) - (I), (C) - (II), (D) - (IV) -> Let me explain each match:
(A) Budget Set matches with (III) P₁X₁ + P₂X₂ ≤ M: The budget set represents all combinations of two goods (X₁ and X₂) that a consumer can afford given their income M and prices P₁ and P₂. The inequality shows all affordable bundles.
(B) Slope of the budget line matches with (I) -(P₁/P₂): From the budget equation P₁X₁ + P₂X₂ = M, rearranging gives X₂ = M/P₂ - (P₁/P₂)X₁. The slope is the coefficient of X₁, which is -(P₁/P₂), representing the rate at which one good must be traded for another.
(C) Horizontal intercept matches with (II) M/P₁: The horizontal intercept occurs when X₂ = 0. Substituting in the budget equation: P₁X₁ = M, therefore X₁ = M/P₁. This shows maximum quantity of good 1 if all income is spent on it.
(D) Vertical intercept matches with (IV) M/P₂: The vertical intercept occurs when X₁ = 0. Substituting: P₂X₂ = M, therefore X₂ = M/P₂. This shows maximum quantity of good 2 if all income is spent on it. -> correct
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