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Mathematics
Mathematics
Problem
A company’s profit,
P
(
t
)
P(t)
P
(
t
)
dollars, is modeled as a differentiable function of time
t
t
t
measured in months since a product launch. Given that
P
′
(
5
)
<
0
P'(5)<0
P
′
(
5
)
<
0
, describe what this tells the company about its profit at the 5-month mark.
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