The total cost \(C(x)\) associated with the production of \(x\) units of an item is given by \(C(x) = 0.001x^3 +0.06x^2 + 20x + 500\). The marginal cost when 10 units are produced is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 21.5
The marginal cost is the derivative of the total cost:
\(MC = C'(x) = 0.003x^2 + 0.12x + 20\)
At x = 10:
\(C'(10) = 0.003(100) + 0.12(10) + 20\)
\(= 0.3 + 1.2 + 20 = 21.5\)
NCERT (2026-27 edition):
Rate of Change of Quantities
