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Application of Derivatives
NCERT Class 12
CBSE
Grade 12
Question:
The total cost $C(x)$ associated with production of $x$ units is $C(x) = 0.005x^3 - 0.02x^2 + 30x + 5000$. Marginal cost when $3$ units are produced is: (a) ₹$30.015$ (b) ₹$30.135$ (c) ₹$30.025$ (d) ₹$30.000$
Step-by-Step Solution
$MC = 0.015(9) - 0.12 + 30 = 30.015$. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Evaluating marginal cost $= ₹30.015$: 1.0 Mark
Correct Answer:₹$30.015$
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