Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

The demand function is $x = \frac{24-2p}{3}$, where x is the number of units demanded and p is the price per unit. Find the revenue function R in terms of p.

Options:

$R(p)=\frac{24-2p}{3}$

$R(p)=24p−2p^2$

$R(p)=\frac{24p-2p^2}{3}$

$R(p)=8p−\frac{2}{3}p^2$

Correct Answer:

$R(p)=8p−\frac{2}{3}p^2$

Explanation:

The correct answer is Option (4) → $R(p)=8p−\frac{2}{3}p^2$

The demand function is $x =\frac{24-2p}{3}$

Revenue function $R = px = p ×\frac{24-2p}{3}$

$⇒ R = 8p - \frac{2}{3} p^2$.