A particular computing company finds that its weekly profit, in dollars, from the production and sale of x lapt computers is P(x) = -0.006x³ -0.3x² +600x-800. Currently the company builds and sells 7 laptops week a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 6 laptops weekly? c) What is the marginal profit when x = 7? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 8 lap 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 = 7 is $ (Round to the nearest cent as needed) d) The profit resulting from the production and sale of 8 laptops weekly is approximately $

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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) = -0.006x³ -0.3x² +600x-800. Currently the company builds and sells 7 laptops weekly
a) What is the current weekly profit?
b) How much profit would be lost if production and sales dropped to 6 laptops weekly?
c) What is the marginal profit when x = 7?
d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 8 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=7 is $
(Round to the nearest cent as needed)
CLOT
d) The profit resulting from the production and sale of 8 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) = -0.006x³ -0.3x² +600x-800. Currently the company builds and sells 7 laptops weekly a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 6 laptops weekly? c) What is the marginal profit when x = 7? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 8 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=7 is $ (Round to the nearest cent as needed) CLOT d) The profit resulting from the production and sale of 8 laptops weekly is approximately $ (Round to the nearest cent as needed)
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