# Ex 6.1,18

Last updated at Dec. 8, 2016 by Teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Ex 6.1,18 The total revenue in Rupees received from the sale of ð¥ units of a product is given by R(ð¥) = 3ð¥2 + 36ð¥ + 5. The marginal revenue, when ð¥ = 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 ð¥ï·¯= Total Revenue ð¥= no. of unit sold So, MR = ð ð ð¥ï·¯ï·¯ï·®ðð¥ï·¯ It is Given that R ð¥ï·¯=3 ð¥ï·®2ï·¯+36ð¥+15 We need to find marginal Revenue when ð¥ = 15 i.e. MR at ð¥ = 15 MR = ð ð ð¥ï·¯ï·¯ï·®ðð¥ï·¯ MR = ð 3 ð¥ï·®2ï·¯+36ð¥+5ï·¯ï·®ðð¥ï·¯ MR = ð 3 ð¥ï·®2ï·¯ï·¯ï·®ðð¥ï·¯+ ð 36ð¥ï·¯ï·®ðð¥ï·¯+ ð 5ï·¯ï·®ðð¥ï·¯ MR = 3 ð ð¥ï·®2ï·¯ï·¯ï·®ðð¥ï·¯+36 ð ð¥ï·¯ï·®ðð¥ï·¯+0 MR = 3 Ã2ð¥+36 MR = 6ð¥+36 MR when ð¥ = 15 MR = 6 15ï·¯+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

Serial order wise

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.