Given, total revenue function for sale of x units of a product is
R(x) = 3x2 +36x + 5
Marginal revenue is given by the derivative of R(x).
Let M(x) represents the marginal revenue function for sale of x units of a product.
∴ M(x) =
∴ M(x) = 6x + 36
This equation indicates the additional revenue generated for sale of an additional unit of product x also we can say that it represents the change in total revenue with respect to change in number of units sold.
And, M(5) = 6(5)+36 = 30+36 = 66
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