CUET · MATHS · PYQ PAPER 2025
The supply function of a commodity is \(P=x^3+2 x+18\). When 4 units of the commodity are sold, then producer surplus is:
- A 320
- B 488
- C 160
- D 208
Answer & Solution
Correct Answer
(D) 208
Step-by-step Solution
Detailed explanation
\(P = 4^3 + 2(4) + 18 = 64 + 8 + 18 = 90\) \(\text{PS} = (P \cdot x) - \int_0^x S(q) dq\) \(\text{PS} = (90 \cdot 4) - \int_0^4 (x^3 + 2x + 18) dx\) \(\text{PS} = 360 - \left[ \frac{x^4}{4} + x^2 + 18x \right]_0^4\)…
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