Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

The average cost function for a commodity is given by $AC = 0.05x^2-5x+1000+\frac{3000}{x}$ in terms of output $x$. The fixed cost is

Options:

1000

3000

5

0.05

Correct Answer:

3000

Explanation:

The correct answer is Option (2) → 3000 **

Given average cost:

$AC = 0.05x^{2} - 5x + 1000 + \frac{3000}{x}$

Total cost:

$C = x \cdot AC$

$C = x\left(0.05x^{2} - 5x + 1000 + \frac{3000}{x}\right)$

$C = 0.05x^{3} - 5x^{2} + 1000x + 3000$

Fixed cost = constant term = $3000$