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Last updated at Jan. 7, 2020 by Teachoo

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Ex 6.1,18 The total revenue in Rupees received from the sale of ๐ฅ units of a product is given by R(๐ฅ) = 3๐ฅ2 + 36๐ฅ + 5. The marginal revenue, when ๐ฅ = 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(๐ฅ)= Total Revenue ๐ฅ= no. of unit sold So, MR = ๐(๐ (๐ฅ))/๐๐ฅ โฆ(1) It is Given that R(๐ฅ)=3๐ฅ^2+36๐ฅ+15 We need to find marginal Revenue when ๐ฅ = 15 i.e. MR at ๐ฅ = 15 MR = ๐(๐ (๐ฅ))/๐๐ฅ MR = ๐(3๐ฅ^2 + 36๐ฅ + 5)/๐๐ฅ MR = ๐(3๐ฅ^2 )/๐๐ฅ+๐(36๐ฅ)/๐๐ฅ+๐(5)/๐๐ฅ MR = 3 ๐(๐ฅ^2 )/๐๐ฅ+36 ๐(๐ฅ)/๐๐ฅ+0 MR = 3 ร 2๐ฅ+36 MR = 6๐ฅ+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

Chapter 6 Class 12 Application of Derivatives

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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.