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If the demand function is given by p = 1500 – 2x – x2 then find the marginal revenue when x = 10. - Mathematics

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प्रश्न

If the demand function is given by p = 1500 – 2x – x2 then find the marginal revenue when x = 10.

विकल्प

  • 1160

  • 1600

  • 1100

  • 1200

MCQ

उत्तर

1160

Explanation:

Demand function

P = 1500 – 2x – x

∴ Revenue (R) = Px = 1500x – 2x2 – x3

∴ Marginal Revenue

MR = `(dR)/dx`

= `d/dx (1500x - 2x^2 - x^3)`

= 1500 – 4x – 3x2

When x = 10

Then (MR)x=10 = 1500 – 4 × 10 – 3 × 102

= 1500 – 40 – 300

= 1160

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