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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

If MR = 14 – 6x + 9x2, Find the demand function - Business Mathematics and Statistics

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Question

If MR = 14 – 6x + 9x2, Find the demand function

Sum

Solution

MR = 14 – 6x + 9x2 

R = `int (14 - 6x + 9x^2)  "d"x + "k"`

= 14x – 3x2 + 3x3 + k

Since R = 0

When x = 0

k = 0

So revenue function R = 14x – 3x2 + 3x3 

Demand function P = ``"R"/x` = 14 – 3x + 3x 

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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 20 | Page 73

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