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

Transcript

Ex 6.1,18 The total revenue in Rupees received from the sale of ๐‘ฅ units of a product is given by R(๐‘ฅ) = 3๐‘ฅ2 + 36๐‘ฅ + 5. The marginal revenue, when ๐‘ฅ = 15 is (A) 116 (B) 96 (C) 90 (D) 126 Since Marginal Revenue is Rate of change in Total Revenue w.r.t no of unit sold Let MR = Marginal cost R(๐‘ฅ)= Total Revenue ๐‘ฅ= no. of unit sold So, MR = ๐‘‘(๐‘…(๐‘ฅ))/๐‘‘๐‘ฅ โ€ฆ(1) It is Given that R(๐‘ฅ)=3๐‘ฅ^2+36๐‘ฅ+15 We need to find marginal Revenue when ๐‘ฅ = 15 i.e. MR at ๐‘ฅ = 15 MR = ๐‘‘(๐‘…(๐‘ฅ))/๐‘‘๐‘ฅ MR = ๐‘‘(3๐‘ฅ^2 + 36๐‘ฅ + 5)/๐‘‘๐‘ฅ MR = ๐‘‘(3๐‘ฅ^2 )/๐‘‘๐‘ฅ+๐‘‘(36๐‘ฅ)/๐‘‘๐‘ฅ+๐‘‘(5)/๐‘‘๐‘ฅ MR = 3 ๐‘‘(๐‘ฅ^2 )/๐‘‘๐‘ฅ+36 ๐‘‘(๐‘ฅ)/๐‘‘๐‘ฅ+0 MR = 3 ร— 2๐‘ฅ+36 MR = 6๐‘ฅ+36 MR when ๐’™ = 15 MR = 6(15)+36 MR = 90 + 36 MR = 126 Hence Marginal Revenue is Rs. 126 Thus, D is the correct Answer

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.