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 $x = 7$ .

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Solution

Marginal revenue is the rate of change of total revenue with respect to the number of units sold.
$\Rightarrow$ Marginal Revenue (MR) $= \frac{d R}{d x} = 13 (2 x) + 26 = 26 x + 26$
Thus when $x = 7$ , MR $= 26 (7) + 26 = 182 + 26 = 208$
Hence, the required marginal revenue is Rs $208$ .

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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.

Marginal revenue is the rate of change of total revenue with respect to the number of units sold.⇒Marginal Revenue (MR)=dRdx=13(2x)+26=26x+26Thus when x=7, MR =26(7)+26=182+26=208Hence, the required marginal revenue is Rs 208.

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 $x = 7$ .

Marginal revenue is the rate of change of total revenue with respect to the number of units sold.
$\Rightarrow$ Marginal Revenue (MR) $= \frac{d R}{d x} = 13 (2 x) + 26 = 26 x + 26$
Thus when $x = 7$ , MR $= 26 (7) + 26 = 182 + 26 = 208$
Hence, the required marginal revenue is Rs $208$ .