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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

If MR = 20 – 5x + 3x2, Find total revenue function - Business Mathematics and Statistics

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Question

If MR = 20 – 5x + 3x2, Find total revenue function

Sum

Solution

MR = 20 – 5x + 3x2

Total Revenue function

R = `int ("MR")  "d"x`

= `int (20 - 5x + x^2)  "d"x`

R = `20x = (5x^2)/2 + (3x^3)/3 + "k"`

When x = 0

R = 0

⇒ k = 0

∴ R = `20x - 5/2x^2 + x^3`

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Application of Integration in Economics and Commerce
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Chapter 3: Integral Calculus – 2 - Exercise 3.2 [Page 73]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 3 Integral Calculus – 2
Exercise 3.2 | Q 19 | Page 73
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