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The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5. Find the marginal revenue when x = 5. - Mathematics

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प्रश्न

The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5. Find the marginal revenue when x = 5.

योग
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उत्तर

Given, R(x) = 3x2 + 36x + 5

Marginal revenue:

MR = `d/dx(3x^2 + 36x + 5)`

= 6x + 36

∴ MR(x = 5) = 6(5) + 36

= 30 + 36

= 66

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Application of Calculus in Commerce and Economics in the Marginal Revenue Function and Its Interpretation
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