Last updated at April 19, 2021 by Teachoo

Transcript

Ex 6.1, 15 The total cost C(๐ฅ) in Rupees associated with the production of ๐ฅ units of an item is given by ๐ถ(๐ฅ) = 0.007๐ฅ^3 โ 0.003๐ฅ2 + 15๐ฅ + 4000. Find the marginal cost when 17 units are produced.Since Marginal Cost is Rate of change in Total Cost w.r.t No of units produced Let MC be marginal cost So, MC = ๐ ๐ช/๐ ๐ Given, Total Cost = C(๐ฅ) =0.007๐ฅ^3โ0.003๐ฅ^2+15๐ฅ+4000" " We need to find marginal Cost when 17 units are produced i.e. MC when ๐ฅ = 17 MC = ๐(๐ถ(๐ฅ))/๐๐ฅ MC = ๐(0.007๐ฅ^3 โ 0.003๐ฅ^2 + 15๐ฅ + 4000)/๐๐ฅ MC = ๐(0.007๐ฅ^3 )/๐๐ฅ โ ๐(0.003๐ฅ^2 )/๐๐ฅ+ ๐(15๐ฅ)/๐๐ฅ+ ๐(4000)/๐๐ฅ MC = 0.007 ๐(๐ฅ^3 )/๐๐ฅ โ0.003 ๐(๐ฅ^2 )/๐๐ฅ + 15๐(๐ฅ)/๐๐ฅ+0 MC = 0.007 ร 3๐ฅ^2โ0.003 ร2๐ฅ+15 MC = 0.021๐ฅ^2โ0.006๐ฅ+15 We need to find MC when ๐ฅ=17 Putting ๐=๐๐ MC = 0.021(17)^2โ0.006(17)+15 MC = 6.069 โ 0.102 + 15 MC = 20.967 Hence, the Required Marginal cost is Rs. 20.967

Ex 6.1

Ex 6.1, 1
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Ex 6.1,2 Deleted for CBSE Board 2022 Exams

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Ex 6.1,4 Important Deleted for CBSE Board 2022 Exams

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About the Author

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.