The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5
in rupees. Find the marginal revenue when x = 5, whereby marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant.
Given:
• Total revenue, R(x) = 3x2 + 36x + 5
By definition marginal revenue = 
∴R'(x) = 6x + 36
So, marginal revenue when x = 5 is R’(5) = 6(5) + 36 = 66
Hence marginal revenue when x = 5 is Rs66
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