Home
Class 12
MATHS
The total revenue in Rupees received fro...

The total revenue in Rupees received from the sale of x units of a product is given by `R(x)=3x^2+36 x+5`. The marginal revenue, when `x = 15`is (A) 116 (B) 96 (C) 90 (D) 126

Text Solution

AI Generated Solution

To find the marginal revenue when \( x = 15 \) for the total revenue function \( R(x) = 3x^2 + 36x + 5 \), we will follow these steps: ### Step 1: Differentiate the Revenue Function We need to find the derivative of the revenue function \( R(x) \) with respect to \( x \). The marginal revenue \( MR \) is given by: \[ MR = \frac{dR}{dx} \] Differentiating \( R(x) \): ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT|Exercise EXERCISE 6.2|19 Videos
  • APPLICATION OF INTEGRALS

    NCERT|Exercise EXERCISE 8.2|7 Videos

Similar Questions

Explore conceptually related problems

The total revenue in Rupees received from the sale of x units of a product is given by R(x)=13x^(2)+26x+15 Find the marginal revenue when x=7

The total revenue in rupees received from the sale of 'x' units of a product is given by: R(x)=13x^(2)+26x+20. Find the marginal revenue when x = 7

The total revenue received from the sale of x units of a product is given by R(x) = 3x^(2) + 40 x + 10 Find the marginal revenue when x = 5

The total revenue received from the sale of x units of a product is given by R(x)=3x^(2)+6x+5 Find the marginal value when x=5

The money to be spend for the welfare of the employees of a firm is proportional to the rate of change of its total revenue (Marginal revenue). If the total revenue (in rupees) received from the sale of x units of a product is given by R(x)=3x^2+36 x+5, find the marginal revenue, when x=5, and write which value does the question indicate.

The total revenue ( in rupees ) received from the sale of x units of LCD is given by R(x)=1000x^(2)+50x+10 . Find the marginal revenue , when 10 units of LCD is sold.

Total revenue from the sale of 'x' units of a product is given by : R(x)=40x-(x^(2))/(2). Find the marginal revenue when x = 6 and interpret it.

The total revenue of selling of x units of a product is represented by R (x) = 2x^(2)+x+5 .Find its marginal revenue for 5 units.

5.The total cost C(x) in Rupees associated with the production of x units of an item is given by C(x)=0,007x^(3)-0.003x^(2)+15x+4000 Find the marginal cost when 17 units are produced.

The total cost C(x) in Rupees associated with the production of x units of an item is given by C(x)=0.007x^(3)-0.003x^(2)+15x+4000. Find the marginal cost when 17 units are produced