The total cost C(x) in Rupees associated with the production of x units of an item is given by \(C(x) = 0.007x^3 + 26x^2 + 15x + 400\). The marginal cost when 10 items are produced is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Rs. 537.1
The marginal cost is the derivative of the total cost:
\(MC = C'(x) = 0.021x^2 + 52x + 15\)
At x = 10:
\(C'(10) = 0.021 \times 100 + 52 \times 10 + 15\)
\(= 2.1 + 520 + 15 = 537.1\)
So the marginal cost is Rs. 537.1.
NCERT (2026-27 edition):
Rate of Change of Quantities
