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Question

Mathematics Question on Derivatives

The total revenue in rupees received from the sale of x units of a product is given by R(x)=13x2+26x+15R(x)=13{{x}^{2}}+26x+15 . Then, the marginal revolution rupees, when x=15x=15 is

A

116

B

126

C

136

D

416

Answer

416

Explanation

Solution

Given, R(x)=13x2+26x+15R(x)=13{{x}^{2}}+26x+15
Now, the marginal revenue
=ddx(R(x))=\frac{d}{dx}(R(x))
=ddx(13x2+26x+15)=\frac{d}{dx}(13{{x}^{2}}+26x+15)
=26x+26=26x+26
Therefore, marginal revenue at (x=15)(x=15)
=26×15+26=26\times 15+26
=390+26=416=390+26=416