CBSE Class 12 Sample Paper for 2025 Boards
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CBSE Class 12 Sample Paper for 2025 Boards
Last updated at August 14, 2026 by Teachoo
This question is similar to Chapter 6 Class 12 Application of Derivatives - Ex 6.1
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Transcript
Question 22 The cost (in rupees) of producing š„ items in factory, each day is given by š¶(š„)=0.00013š„^3+0.002š„^2+5š„+2200 Find the marginal cost when 150 items are produced.Since Marginal Cost is Rate of change in Total Cost w.r.t No of items produced Let MC be marginal cost So, MC = š šŖ/š š Given, Total Cost = C(š„) =0.00013š„^3+0.002š„^2+5š„+2200 We need to find MC when š„=150 Putting š=ššš MC = 0.00039ć(ššš)ć^š + š.ššš Ć ššš+š MC = 39/100000 Ć 22500+4/1000 Ć 150+5 MC = 39/1000 Ć 225+4/100 Ć 15+5 MC = šššš/šššš +šš/ššš +š MC = 8.775+0.6+5 MC = 14.375 Hence, the Required Marginal cost is Rs. 14.375
