A product is introduced to the market. The weekly profit (in dollars) of that product decays exponentially as function of the price that is charged (in dollars) and is given by -0.05.x P(x) = 65000 e . Suppose the price in dollars of that product, x(t), changes over time t (in weeks) as given by x(t) = 41 +0.75 t² ● Find the rate that profit changes as a function of time, P' (t) dollars/week How fast is profit changing with respect to time 7 weeks after the introduction. dollars/week

A product is introduced to the market. The weekly profit (in dollars) of that product decays exponentially as function of the price that is charged (in dollars) and is given by -0.05.x P(x) = 65000 e . Suppose the price in dollars of that product, x(t), changes over time t (in weeks) as given by x(t) = 41 +0.75 t² ● Find the rate that profit changes as a function of time, P' (t) dollars/week How fast is profit changing with respect to time 7 weeks after the introduction. dollars/week

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.7: Exponential And Logarithmic Models

Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....

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