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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

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

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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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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