A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop compute P(x) = - 0.002x° - 0.2x + 700x- 900. 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 weekl a) The current weekly profit is $ 3989.51. (Round to the nearest cent as needed.) b) The decrease in profit is $ 697.14.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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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) = - 0.002x - 0.2x + 700x- 900. 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 $ 3989.51.
(Round to the nearest cent as needed.)
b) The decrease in profit is $ 697.14.
(Round to the nearest cent as needed.)
c) The marginal profit when x= 7 is $ 688.14
(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) = - 0.002x - 0.2x + 700x- 900. 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 $ 3989.51. (Round to the nearest cent as needed.) b) The decrease in profit is $ 697.14. (Round to the nearest cent as needed.) c) The marginal profit when x= 7 is $ 688.14 (Round to the nearest cent as needed.)
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