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The demand function for a product is given by P(x) = 80 -0.018x, where x is the number of units of the product sold and p is the price, in dollars. The cost function is C(x) = 5000x-2.8x². What is the marginal profit, to the nearest dollar, when 75 units of the product are sold?

The demand function for a product is given by P(x) = 80 -0.018x, where x is the number of units of the product sold and p is the price, in dollars. The cost function is C(x) = 5000x-2.8x². What is the marginal profit, to the nearest dollar, when 75 units of the product are sold?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 84E
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The demand function for a product is given by P(x) = 80 -0.018x, where x is the number of units of the product sold and p is the price, in dollars. The cost function is C(x) = 5000x-2.8x². What is the marginal profit, to the nearest dollar, when 75 units of the product are sold? O-$4503 $2501 -$1256 $4012
Transcribed Image Text:The demand function for a product is given by P(x) = 80 -0.018x, where x is the number of units of the product sold and p is the price, in dollars. The cost function is C(x) = 5000x-2.8x². What is the marginal profit, to the nearest dollar, when 75 units of the product are sold? O-$4503 $2501 -$1256 $4012
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