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If the marginal revenue function is R'(x) = 1500 – 4x – 3x2. Find the revenue function and average revenue function - Business Mathematics and Statistics

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प्रश्न

If the marginal revenue function is R'(x) = 1500 – 4x – 3x2. Find the revenue function and average revenue function

बेरीज
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उत्तर

Given marginal revenue function

MR = R’(x)= 1500 – 4x – 3x2

Revenue function R(x) = `int "R'"(x)  "d"x + "c"`

R = `int (1500 - 4x - 3x^2)  "d"x + "c"`

R = 1500x – 2x2 – x3 + c

When x = 0

R = 0

⇒ c = 0

So R = 1500x – 2x2 – x3 

Average revenue function P = `"R"/x` ⇒ 1500 – 2x – x

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Application of Integration in Economics and Commerce
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पाठ 3: Integral Calculus – 2 - Exercise 3.2 [पृष्ठ ७२]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 3 Integral Calculus – 2
Exercise 3.2 | Q 15 | पृष्ठ ७२

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