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A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop computers is P(x) = -0.003x³ -0.3x² + 700x-900. Currently the company builds and sells 9 laptops weekly. a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 8 laptops weekly? c) What is the marginal profit when x = 9? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 10 laptops weekly a) The current weekly profit is $ (Round to the nearest cent as needed.) b) The decrease in profit is $ (Round to the nearest cent as needed. c) The marginal profit when x = 9 is $ (Round to the nearest cent as needed.) d) The profit resulting from the production and sale of 10 laptops weekly is approximately $ (Round to the nearest cent as needed.)

A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop computers is P(x) = -0.003x³ -0.3x² + 700x-900. Currently the company builds and sells 9 laptops weekly. a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 8 laptops weekly? c) What is the marginal profit when x = 9? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 10 laptops weekly a) The current weekly profit is $ (Round to the nearest cent as needed.) b) The decrease in profit is $ (Round to the nearest cent as needed. c) The marginal profit when x = 9 is $ (Round to the nearest cent as needed.) d) The profit resulting from the production and sale of 10 laptops weekly is approximately $ (Round to the nearest cent as needed.)

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
Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 4CT
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A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop computers is P(x) = -0.003x³ -0.3x² + 700x-900. Currently the company builds and sells 9 laptops weekly. a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 8 laptops weekly? c) What is the marginal profit when x = 9? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 10 laptops weekly a) The current weekly profit is $ (Round to the nearest cent as needed.) b) The decrease in profit is $ (Round to the nearest cent as needed) c) The marginal profit when x = 9 is $ (Round to the nearest cent as needed.) d) The profit resulting from the production and sale of 10 laptops weekly is approximately $ (Round to the nearest cent as needed.)
Transcribed Image Text:A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop computers is P(x) = -0.003x³ -0.3x² + 700x-900. Currently the company builds and sells 9 laptops weekly. a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 8 laptops weekly? c) What is the marginal profit when x = 9? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 10 laptops weekly a) The current weekly profit is $ (Round to the nearest cent as needed.) b) The decrease in profit is $ (Round to the nearest cent as needed) c) The marginal profit when x = 9 is $ (Round to the nearest cent as needed.) d) The profit resulting from the production and sale of 10 laptops weekly is approximately $ (Round to the nearest cent as needed.)
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