The revenue from producing and selling x unites of a product

The revenue from producing and selling x unites of a products is given by R(x)=9x-0.03x² dollars. Find the marginal revenue at a production level of 19.

Solution

We know that the marginal revenue (MR) is the additional revenue that can be generated by increasing the production and the sales by one unit. Here, when x = 19, R(x) = 9*19-0.03(19)² = 171-10.83 = 160.17 and when x = 20, R(x) = 9*20-0.03(20)² = 180-12 = 168. Hence the marginal revenue at a production level of 19 = 168 -160.17 = $7.83