A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop computers is P(x) = -0.002x³ -0.1x² +500x-700. 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.) XXXX

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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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) = -0.002x³ -0.1x² +500x-700. 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.)
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) = -0.002x³ -0.1x² +500x-700. 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.)
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