Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

If the demand function of a new product is $P(x)= 4000 -150x,$ then the marginal revenue when 10 units are sold is :

Options:

500

2500

2000

1000

Correct Answer:

1000

Explanation:

The correct answer is Option (4) → 1000

Revenue is given as,

$R(x)=P(x)×x$

$=(4000-150x)×x$

$=4000x-150x^2$

Marginal Revenue, $MR=\frac{d}{dx}(4000x-150x^2)$

$=4000-300x$

$MR(10)=4000-300×10$

$=1000$