Question

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 1

we know, $\bf{Marginal}$revenue (MR) is the rate of change of total revenue with respect to the number of units sold.

Given, R(x) = 13x² + 26x + 15
differentiate R(x) with respect to x,
e.g., $\bf{\frac{dR(x)}{dx}=26x+26}$
so, Marginal revenue , M.R = $\bf{\frac{dR(x)}{dx}}$= 26x + 26
when x = 7
Then, M.R = 26(7) + 26 = 208
therefore, the marginal revenue when x = 7 is Rs. 208.