If a manufacturer’s total cost ‘C’ is given by \( C=\displaystyle\frac{x^2}{35}+3x \), then the marginal cost when 7 units are produced will be:-
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Rs. 3.4/unit
Marginal cost is the derivative of the total cost with respect to the number of units x.
\( \displaystyle MC=\frac{dC}{dx}=\frac{2x}{35}+3 \)
At x = 7:
\( \displaystyle MC=\frac{14}{35}+3 \)
\( \displaystyle =0.4+3=3.4 \)
The marginal cost is Rs. 3.4 per unit.
CBSE Applied Mathematics (Class XII):
Marginal Cost and Marginal Revenue
