The marginal cost (in Rs.) of producing x units of an item is given by \(\displaystyle\frac{dC}{dx} = 2x + 5\). If the fixed cost is Rs. 100, then the total cost of producing 10 units is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Rs. 250
The total cost C(x) is found by integrating the marginal cost, and the fixed cost is the cost when nothing is produced, that is, C(0) = 100.
\(C(x) = x^2 + 5x + K\)
Putting x = 0:
\(K = 100\)
\(C(x) = x^2 + 5x + 100\)
For 10 units:
\(C(10) = 100 + 50 + 100 = 250\)
So the total cost is Rs. 250.