question_answer

The total revenue (in Rs.) received from the sale of x units of a product is given by \[R(x)=13{{x}^{2}}+26x+15.\] Find the marginal revenue when x = 7.

Answer:

Since, marginal revenue is the rate of change of total revenue with respect to the number of items sold. \[\therefore \] Marginal revenue \[=\frac{dR}{dx}=\frac{d}{dx}(13{{x}^{2}}+26x+15)\]             \[=26x+26=26(x+1)\]   Now, when x = 7, then                             Marginal revenue \[=26(7+1)=26\times 8=208\] Hence, the required marginal revenue is Rs. 208.