Question

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 is (A) 116 (B) 96 (C) 90 (D) 126

Answer 1

question is ----> The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x² + 36x + 5. The marginal revenue, when x = 15 is

use the concepts $\textbf{Marginal revenue (MR) is the rate of }\\\textbf{change of total revenue with respect to}\\\textbf{ the number of units sold.}$

given, R(x) = 3x² + 36x + 5
so, Marginal revenue , M.R = $\bf{\frac{dR(x)}{dx}}$=d(3x² + 36x + 5)/dx = 6x + 36
when x = 15 ,
marginal revenue , M.R = 6(15) + 36
M.R = 90 + 36 = 126
hence, option (D) is correct