Class 12 Mathematics Application of Derivatives: NCERT Solutions for Question 16

This page focuses on the detailed Application of Derivatives question answers for Class 12 Mathematics Application of Derivatives, addressing the question: 'The total revenue in Rupees received from the sale of x units of a product is given by R (x) = 13x2 + 26x + 15 Find the marginal revenue when x = 7.'. The solution provides a thorough breakdown of the question, highlighting key concepts and approaches to arrive at the correct answer. This easy-to-understand explanation will help students develop better problem-solving skills, reinforcing their understanding of the chapter and aiding in exam preparation.
Question 16

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

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

\begin{align}MR=\frac{dR}{dx}\end{align}

∴Marginal Revenue

MR = 13(2x) + 26 = 26x + 26

When x = 7,

MR = 26(7) + 26 = 182 + 26 = 208

Hence, the required marginal revenue is Rs 208.