CUET · MATHS · PYQ PAPER 2023
The total cost of producing \(x\) generators is given by
\(TC =x^3-60 x^2+1500 x+2000\)
The Marginal Cost \(( MC )\), when \(x=10\) units is:
- A ₹ 2,000
- B ₹ 1,200
- C ₹ 600
- D ₹ 200
Answer & Solution
Correct Answer
(C) ₹ 600
Step-by-step Solution
Detailed explanation
\(MC = \frac{d(TC)}{dx} = \frac{d}{dx}(x^3-60 x^2+1500 x+2000)\) \(MC = 3x^2 - 120x + 1500\) \(MC(10) = 3(10)^2 - 120(10) + 1500\) \(MC(10) = 300 - 1200 + 1500\) \(MC(10) = 600\)
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