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 demand function.

Options:

$P(x)=100−x−x^2$

$P(x)=100x−x^2−x^3$

$P(x)=100−2x−3x^2$

$P(x)=x(100−x−x^2)$

Correct Answer:

$P(x)=100−x−x^2$

Explanation:

The correct answer is Option (1) → $P(x)=100−x−x^2$

If $₹p$ is the price per unit, then

total revenue = $R(x) = px$

$⇒ px = 100x - x^2-x^3$   (given)

$⇒ p = 100-x-x^2$.

The demand function = $100-x-x^2$.