Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

The revenue function is given by $R(x) = 100x – x^2 – x^3$. Find the marginal revenue function.

Options:

$MR=100−x−x^2$

$MR=100x−x^2−x^3$

$MR=100−2x−3x^2$

$MR=x(100−x−x^2)$

Correct Answer:

$MR=100−2x−3x^2$

Explanation:

The correct answer is Option (3) → $MR=100−2x−3x^2$

The marginal revenue function = $MR=\frac{d}{dx}(R(x))$

$=\frac{d}{dx}(100x - x^2-x^3) = 100-2x-3x^2$.