MATH 121 Lecture Notes - Lecture 11: Marginal Revenue, Marginal Cost

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9 Apr 2017
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Math 121 section 4. 2 first application: marginal analysis. Marginal cost: the cost added by producing one extra item of a product. If the total cost of manufacturing x items is given by c(x), then the marginal cost is. Similarly, the marginal profit is p"(x), and the marginal revenue is r"(x). Marginal average cost: the average cost added by producing one extra item of a product. If total cost of manufacturing x items is given by c(x), then the average cost per item is (cid:4666)(cid:4667)=(cid:4666)(cid:4667) . Similarly, marginal average profit is p"(x), marginal average revenue is r"(x). Find the marginal cost, marginal revenue, and marginal profit functions. Find all values of x for which the marginal profit is zero. A certain cost function has the following graph. (assume that a = 2000. ) The cost, in thousands of dollars, of airing x television commercials during a sports event is given by.

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