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The total cost (in Rupees) of producing $x$ units is $C(x)=0.005x^3-0.02x^2+30x+5000$. The marginal cost when $3$ units are produced is approximately
A₹ 30.02
B₹ 30.15
C₹ 30.45
D₹ 29.88
Answer & Solution
Correct answer: A. ₹ 30.02
1. Marginal cost $=\dfrac{dC}{dx}=0.015x^2-0.04x+30$.
2. At $x=3$: $0.015(9)-0.04(3)+30$.
3. $=0.135-0.12+30=30.015$.
4. Rounded: ₹ 30.02.
_Source: NCERT Class 12 Mathematics Ch 6 "Application of Derivatives", p.3_
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