Check sibling questions

The Total Revenue is given by R(x) = 13x^2 + 26x + 15. Find Marginal

Ex 6.1,16 - Chapter 6 Class 12 Application of Derivatives - Part 2
Ex 6.1,16 - Chapter 6 Class 12 Application of Derivatives - Part 3

This video is only available for Teachoo black users

Get Real time Doubt solving from 8pm to 12 am!


Transcript

Ex 6.1, 16 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. Marginal revenue is rate of change of total revenue w. r. t the number of unit sold Let MR be marginal revenue So, MR = 𝒅𝑹/𝒅𝒙 Given, Total revenue = R(𝑥)=13𝑥^2+26𝑥+15 We need to find marginal revenue when 𝑥 = 7 i.e. MR when 𝒙 = 7 MR = 𝑑(𝑅(𝑥))/𝑑𝑥 MR = ( 𝑑(13𝑥^2 + 26𝑥 + 15))/𝑑𝑥 MR = 𝑑(13𝑥^2 )/𝑑𝑥+𝑑(26𝑥)/𝑑𝑥+𝑑(15)/𝑑𝑥 MR = 13 𝑑(𝑥^2 )/𝑑𝑥+ 26 𝑑(𝑥)/𝑑𝑥+0 MR = 13 × 2𝑥+26 MR = 26𝑥+26 MR = 26 (𝒙+𝟏) We need to find MR when 𝑥=7 Putting 𝑥=7 MR = 26 (7+1) MR = 26 × 8 MR = 208 Hence Required marginal Revenue is Rs 208

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.