Question 16
The total revenue in Rupees received from the sale of *x* units of a product is given by

R (x) = 13x^{2} + 26x + 15

Find the marginal revenue when *x* = 7.

Answer

Marginal revenue is the rate of change of total revenue with respect to the number of units sold.

\begin{align}MR=\frac{dR}{dx}\end{align}

∴Marginal Revenue

MR = 13(2*x*) + 26 = 26*x* + 26

When *x* = 7,

MR = 26(7) + 26 = 182 + 26 = 208

Hence, the required marginal revenue is Rs 208.