CyBetrok Thcorporated, their weekly profit function for producing x smart home hubs can be modeled by the function P(x)=0.045x3-7x2 where Osxs300 and P(x) is measured in dollars per week. Find the weekly marginal profit if 200 smart home hubs are sold. O $26,000 O $2600 O $360,000 O None of these O $2,640.14

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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According to Cybertron Incorporated, their weekly profit function for producing x smart home hubs can be modeled by the function
P(x)=0.045x3-7x2 where Osxs300 and P(x) is measured in dollars per week. Find the weekly marginal profit if 200 smart home hubs
are sold.
O $26,000
O $2600
O $360,000
O None of these
O $2,640.14
Transcribed Image Text:According to Cybertron Incorporated, their weekly profit function for producing x smart home hubs can be modeled by the function P(x)=0.045x3-7x2 where Osxs300 and P(x) is measured in dollars per week. Find the weekly marginal profit if 200 smart home hubs are sold. O $26,000 O $2600 O $360,000 O None of these O $2,640.14
The population of Metropolis was 4 million at the start of the year 2000 and can be given by the function P(t) = 4e0.065t where
t is time in years since 2000 and P(t) is in millions. By how much is the population accelerating or decelerating in 2020?
O The population is decelerating by 0.95 million per year
O The population is decelerating by 0.06 million per year per year.
O The population is accelerating by 0.95 million per year per year.
None of these
O The population is accelerating by 0.06 million per year per year.
Transcribed Image Text:The population of Metropolis was 4 million at the start of the year 2000 and can be given by the function P(t) = 4e0.065t where t is time in years since 2000 and P(t) is in millions. By how much is the population accelerating or decelerating in 2020? O The population is decelerating by 0.95 million per year O The population is decelerating by 0.06 million per year per year. O The population is accelerating by 0.95 million per year per year. None of these O The population is accelerating by 0.06 million per year per year.
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