This question is similar to Chapter 6 Class 12 Application of Derivatives - Ex 6.1
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CBSE Class 12 Sample Paper for 2025 Boards
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Question 5 Important
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Question 19 [Assertion Reasoning] Important
Question 20 [Assertion Reasoning] Important
Question 21 Important
Question 22 You are here
Question 23 (A)
Question 23 (B)
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Question 24 (B) Important
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Question 28 (A)
Question 28 (B)
Question 29 (A) Important
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Question 34 (A)
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Question 35 (B) Important
Question 36 (i) [Case Based]
Question 36 (ii)
Question 36 (iii) (A) Important
Question 36 (iii) (B) Important
Question 37 (i) [Case Based]
Question 37 (ii) Important
Question 37 (iii) (A) Important
Question 37 (iii) (B)
Question 38 (i) [Case Based] Important
Question 38 (ii) Important
CBSE Class 12 Sample Paper for 2025 Boards
Last updated at Oct. 3, 2024 by Teachoo
This question is similar to Chapter 6 Class 12 Application of Derivatives - Ex 6.1
Please check the question here
Question 22 The cost (in rupees) of producing 𝑥 items in factory, each day is given by 𝐶(𝑥)=0.00013𝑥^3+0.002𝑥^2+5𝑥+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 = 𝒅𝑪/𝒅𝒙 Given, Total Cost = C(𝑥) =0.00013𝑥^3+0.002𝑥^2+5𝑥+2200 We need to find MC when 𝑥=150 Putting 𝒙=𝟏𝟓𝟎 MC = 0.00039〖(𝟏𝟓𝟎)〗^𝟐 + 𝟎.𝟎𝟎𝟒 × 𝟏𝟓𝟎+𝟓 MC = 39/100000 × 22500+4/1000 × 150+5 MC = 39/1000 × 225+4/100 × 15+5 MC = 𝟖𝟕𝟕𝟓/𝟏𝟎𝟎𝟎 +𝟔𝟎/𝟏𝟎𝟎 +𝟓 MC = 8.775+0.6+5 MC = 14.375 Hence, the Required Marginal cost is Rs. 14.375