Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

If R(x) denotes the revenue where $R(x)= 4000x-10x^2$ then maximum value of $R(x)$ occurs when x equals :

Options:

100

200

1000

50

Correct Answer:

200

Explanation:

The correct answer is Option (2) → 200

$R(x)= 4000x-10x^2$

for critical points, $f'(c)=0$

$⇒4000-20c=0$

$⇒20c=4000$

$⇒c=200$

∴ Revenue function is maximum at $x = 200$.