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 P(x) = 55000 e -0.04.x = Suppose the price in dollars of that product, x(t), changes over time t (in weeks) as given by x(t) = 49+0.65-t² Find the rate that profit changes as a function of time, P'(t) -0.04.55000e-0.04x(t). 1.3tX syntax error. 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
Section: Chapter Questions
Problem 8RE: Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25...
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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 P(x) = 55000 e
-0.04.x
●
Suppose the price in dollars of that product, ä(t),
changes over time t (in weeks) as given by
49+0.65t²
x(t)
=
Find the rate that profit changes as a function of time,
P'(t) -0.04.55000e -0.04x(1) 1.3 × syntax error.
dollars/week
How fast is profit changing with respect to time 7 weeks
after the introduction.
dollars/week
Transcribed Image Text: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 P(x) = 55000 e -0.04.x ● Suppose the price in dollars of that product, ä(t), changes over time t (in weeks) as given by 49+0.65t² x(t) = Find the rate that profit changes as a function of time, P'(t) -0.04.55000e -0.04x(1) 1.3 × syntax error. dollars/week How fast is profit changing with respect to time 7 weeks after the introduction. dollars/week
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