The total revenue in Rupees received from the sale of x units of a product given by R (x) = 13x² + 26x + 15. Find the marginal revenue when x = 7

Solution:

Derivatives are used to find the rate of changes of a quantity with respect to the other quantity. By using the application of derivatives we can find the approximate change in one quantity with respect to the

change in the other quantity.

Marginal revenue (MR) is the rate of change of the total revenue with respect to the number of units sold.

Given that R (x) = 13x² + 26x + 15.

Therefore,

MR = dR/dx

On differentiating wrt x, we get

= 13(2x) + 26

= 26x + 26

When, x = 7

Then,

MR = 26(7) + 26

= 182 + 26

= 208

Thus, the marginal revenue is ₹ 208

NCERT Solutions Class 12 Maths - Chapter 6 Exercise 6.1 Question 16