18) The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x^2 + 36x + 5. The marginal revenue, when x = 15 is
(A) 116          (B) 96             (C) 90              (D) 126

Answers (1)

Marginal revenue =  \frac{dR}{dx}
R ( x) = 3 x^2 + 36 x + 5
\frac{dR}{dx} = \frac{d(3x^{2}+36x+5)}{dx} = 3\times2x+ 36 = 6(x+6)
at x = 15
\frac{dR}{dx} = 6(15+6) = 6\times21 = 126
Hence, marginal revenue when x = 15 is 126
Hence, the correct answer is D

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