Assertion (A) : The average fixed cost curve is a rectangular hyperbola.
Reason (R) : Multiplication of average fixed cost with the quantity of output produced, always yields a fixed value.
In the light of the above statements, choose the most appropriate answer from the options given below :
The statement asserts that the Average Fixed Cost (AFC) curve is a rectangular hyperbola.
In economics, Average Fixed Cost is calculated as:
$ \text{AFC} = \frac{\text{Total Fixed Cost (TFC)}}{\text{Quantity of Output (Q)}} $
Since Total Fixed Cost (TFC) is constant in the short run, as the quantity of output (Q) increases, the AFC decreases. The product of AFC and Q always equals TFC:
$ \text{AFC} \times \text{Q} = \text{TFC} $
A curve where the product of the two variables (AFC and Q) is constant represents a rectangular hyperbola. Therefore, Assertion (A) is correct.
The statement explains that multiplying average fixed cost by the quantity of output produced always yields a fixed value. As shown above, this product equals Total Fixed Cost (TFC), which is indeed a fixed value in the short run.
This mathematical relationship is the defining characteristic of a rectangular hyperbola when plotted on a graph with quantity on one axis and cost per unit on the other. Thus, Reason (R) is correct.
Reason (R) directly explains the mathematical property that causes the AFC curve to take the shape of a rectangular hyperbola, as stated in Assertion (A). The constant product (TFC) is the fundamental reason for the hyperbolic shape.
Therefore, both (A) and (R) are correct, and (R) provides the correct explanation for (A).
The most appropriate answer is that both statements are correct, and Reason (R) correctly explains Assertion (A).
| List - I | List - II |
| A. Yellow Pages | I. Promotion of a product/brand in a movie in such a way to enter the subconscious mind of the customer |
| B. Infomercials | II. Banners, posters and stickers put inside the retail shop |
| C. Point of purchase advertising | III. Television commercial runs as typical as television program |
| D. Product Placement | IV. Directory of Local business names and products |
| List - I | List - II |
| A. Matrix addition is commutative | I. If O is the zero matrix of same order as that of the matrix A, then A + 0 = A = 0 + A |
| B. Matrix addition is associative | II. If A, B and C be three matrices of the same order, then (A + B) + C = A + (B + C) |
| C. Existence of additive identity | III. If A be any matrix, then A + (-A) = O = (-A) + A |
| D. Existence of additive inverse | IV. If A and B be two matrices of the same order then A + B = B + A |