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Question 16

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

R (x) = 13x2 + 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(2x) + 26 = 26x + 26

When x = 7,

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

Hence, the required marginal revenue is Rs 208.

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