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Application Of Derivatives

Question
CBSEENMA12035052

The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x 2 + 36x + 5.

  • 116
  • 96

  • 90

  • 126

Solution

D.

126

straight R left parenthesis straight x right parenthesis space equals space 3 straight x squared plus 36 straight x plus 5 space space space space space space space space space space rightwards double arrow space space space straight R space equals space 3 straight x squared plus 36 straight x plus 5
Marginal revenue equals space dR over dx space space equals space 6 straight x plus 36
When x = 15,   marginal revenue = 6(15) + 36 = 90 + 36 = 126
therefore space space space left parenthesis straight D right parenthesis space is space correct space answer.

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