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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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Question

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 ?

Answer in Brief
Sum
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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) = 

\[\frac{dR}{dx}\left( x \right) = \frac{d}{dx}\left( 13 x^2 + 26x + 15 \right) = 26x + 26\]
When x = 7,
Marginal Revenue (MR)
\[= 26(7) + 26 = 182 + 26 = \text { Rs } \ 208 \]
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Chapter 12: Derivative as a Rate Measurer - Exercise 13.1 [Page 4]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 12 Derivative as a Rate Measurer
Exercise 13.1 | Q 9 | Page 4

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