Question:
The total revenue in Rupees received from the sale of x units of a product is given by
$R(x)=13 x^{2}+26 x+15$
Find the marginal revenue when x = 7.
Solution:
Marginal revenue is the rate of change of total revenue with respect to the number of units sold.
$\therefore$ Marginal Revenue $(\mathrm{MR})=\frac{d R}{d x}=13(2 x)+26=26 x+26$
When x = 7,
$M R=26(7)+26=182+26=208$
Hence, the required marginal revenue is Rs 208.
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