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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) = -0.006x -0 3x + 600x- 800. Currently the company builds and sells 8 laptops weekly a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 7 laptops weekly? c) What is the marginal profit when x= 8? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 9 laptops weekly

A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop computers is P(x) = -0.006x -0 3x + 600x- 800. Currently the company builds and sells 8 laptops weekly a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 7 laptops weekly? c) What is the marginal profit when x= 8? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 9 laptops weekly

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) = - 0.006x° - 0.3x2 +600x- 800. Currently the company builds and sells 8 laptops weekly. a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 7 laptops weekly? c) What is the marginal profit when x 8? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 9 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= 8 is $ (Round to the nearest cent as needed.) d) The profit resulting from the production and sale of 9 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) = - 0.006x° - 0.3x2 +600x- 800. Currently the company builds and sells 8 laptops weekly. a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 7 laptops weekly? c) What is the marginal profit when x 8? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 9 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= 8 is $ (Round to the nearest cent as needed.) d) The profit resulting from the production and sale of 9 laptops weekly is approximately $ (Round to the nearest cent as needed.)
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