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For the marginal revenue function MR = 6 – 3x2 – x3, Find the revenue function and demand function

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प्रश्न

For the marginal revenue function MR = 6 – 3x2 – x3, Find the revenue function and demand function

बेरीज
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उत्तर

MR = 6 – 3x2 – x3

Revenue function R = `int "MR"  "d"x`

R = `int (6  –  3x^2  –  x^3) "d"x`

R = `(6x - (3x^3)/3 - x^4/4) + "k"`

When x = 0

R = 0

⇒ k = 0

∴ R = `6 - x^3 -x^4/4`

Demand function P = `"R"/x`

= `((6x - x^3 - x^4/4))/x`

P = `6 - x^2 - x^3/4`

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पाठ 3: Integral Calculus – 2 - Miscellaneous problems [पृष्ठ ७७]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 3 Integral Calculus – 2
Miscellaneous problems | Q 4 | पृष्ठ ७७

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