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Mathematics
Problem
A company’s production cost, in dollars, is modeled by
C
(
t
)
=
200
+
5
t
2
C(t)=200+5t^{2}
C
(
t
)
=
200
+
5
t
2
, where
t
t
t
is the number of weeks since a product launch. Calculate
C
′
(
6
)
C'(6)
C
′
(
6
)
and interpret your result in the context of production cost, including appropriate units.
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