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In this example problem, we are given the Revenue and Cost Functions. We use them to find the Marginal Revenue and Marginal Cost Functions by taking their derivatives by using the power rule. We then create a Profit Function by subtracting the cost function from the revenue function. We find the Marginal Profit function by taking the derivative of the profit function that we created. To maximize the profit function, we set the marginal profit function (the derivative of profit) equal to zero and solve down. This gives us the quantity at which we will maximize our profit. This video contains examples that are from Business Calculus, 1st ed, by Calaway, Hoffman, Lippman. from the Open Course Library, remixed from Dale Hoffman's Contemporary Calculus text. It was extended by David Lippman to add several additional topics. The text is licensed under the Creative Commons Attribution license. http://creativecommons.org/licenses/b...