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Question

Mathematics Question on Applications of Derivatives

The total revenue in Rupees received from the sale of xx units of a product is given by R(x)=13x2+26x+15R(x)=13x^2+26x+15.The marginal revenue, when x=7x=7 is

Answer

The correct answer is Rs 208.
Marginal revenue is the rate of change of total revenue with respect to the number of units sold.
MarginalRevenue(MR)=dRdx=13(2x)+26=26x+26∴Marginal Revenue (MR)=\frac{dR}{dx}=13(2x)+26=26x+26
When x=7,MR=26(7)+26=182+26=208x = 7, MR = 26(7) + 26 = 182 + 26 = 208
Hence, the required marginal revenue is Rs 208.