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Mathematics
Mathematics
Problem
A company’s revenue (in thousands of dollars)
R
(
t
)
R(t)
R
(
t
)
after
t
t
t
months satisfies
R
′
(
t
)
=
t
2
−
10
t
+
21
R'(t)=t^{2}-10t+21
R
′
(
t
)
=
t
2
−
10
t
+
21
for
0
≤
t
≤
12
0\le t\le 12
0
≤
t
≤
12
. Determine the month(s) within this interval at which the revenue reaches a local minimum, and justify your answer using the behavior of
R
′
(
t
)
R'(t)
R
′
(
t
)
.
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