Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

The total cost C(x) of a firm is $C(x) = 0.0005x^3 - 0.7x^2 - 30x + 3000$ where x is the output. Determine average cost (AC).

Options:

$AC=0.0005x^2 −0.7x−30+ \frac{3000}{x}$

$AC=0.0005x^3−0.7x^2−30x+3000$

$AC=0.0015x^2−1.4x−30$

$AC=0.0005x^2−0.7x−30$

Correct Answer:

$AC=0.0005x^2 −0.7x−30+ \frac{3000}{x}$

Explanation:

The correct answer is Option (1) → $AC=0.0005x^2 −0.7x−30+ \frac{3000}{x}$

Average cost $(AC) = \frac{\text{Total cost}}{\text{Output}}=\frac{C(x)}{x}$

$= 0.0005x^2 -0.7x-30 +\frac{3000}{x}$