CUET · MATHS · PYQ PAPER 2025
The demand function for a certain product is represented by the equation: p = 20 + 5x - \(3 x^2\), where \(x\) is the number of units demanded and p is the price per unit (in Rs.), then the marginal revenue when 2 units are sold, is:
- A Rs. 8
- B Rs. 4
- C Rs. 6
- D Rs. 2
Answer & Solution
Correct Answer
(B) Rs. 4
Step-by-step Solution
Detailed explanation
\( R(x) = px = (20 + 5x - 3x^2)x = 20x + 5x^2 - 3x^3 \) \( MR(x) = \frac{dR}{dx} = \frac{d}{dx}(20x + 5x^2 - 3x^3) = 20 + 10x - 9x^2 \) \( MR(2) = 20 + 10(2) - 9(2)^2 = 20 + 20 - 9(4) = 40 - 36 = 4 \)
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