The total revenue 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.

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Solution

Since the marginal revenue is the rate of change of total revenue with respect to its output,
Marginal Revenue (MR) = $\frac{d R}{d x} (x) = \frac{d}{d x} (13 x^{2} + 26 x + 15) = 26 x + 26$

When x = 7,
Marginal Revenue (MR) $= 26 (7) + 26 = 182 + 26 = Rs 208$

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