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

  1. Chapter 6 Class 12 Application of Derivatives (Term 1)
  2. Serial order wise

Transcript

Ex 6.1, 16 The total revenue in Rupees received from the sale of ๐‘ฅ units of a product is given by R(๐‘ฅ) = 13๐‘ฅ2 + 26๐‘ฅ + 15. Find the marginal revenue when ๐‘ฅ = 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 = ๐’…๐‘น/๐’…๐’™ Given, Total revenue = R(๐‘ฅ)=13๐‘ฅ^2+26๐‘ฅ+15 We need to find marginal revenue when ๐‘ฅ = 7 i.e. MR when ๐’™ = 7 MR = ๐‘‘(๐‘…(๐‘ฅ))/๐‘‘๐‘ฅ MR = ( ๐‘‘(13๐‘ฅ^2 + 26๐‘ฅ + 15))/๐‘‘๐‘ฅ MR = ๐‘‘(13๐‘ฅ^2 )/๐‘‘๐‘ฅ+๐‘‘(26๐‘ฅ)/๐‘‘๐‘ฅ+๐‘‘(15)/๐‘‘๐‘ฅ MR = 13 ๐‘‘(๐‘ฅ^2 )/๐‘‘๐‘ฅ+ 26 ๐‘‘(๐‘ฅ)/๐‘‘๐‘ฅ+0 MR = 13 ร— 2๐‘ฅ+26 MR = 26๐‘ฅ+26 MR = 26 (๐’™+๐Ÿ) We need to find MR when ๐‘ฅ=7 Putting ๐‘ฅ=7 MR = 26 (7+1) MR = 26 ร— 8 MR = 208 Hence Required marginal Revenue is Rs 208

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.