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Mathematics
Mathematics
Problem
A manufacturer’s profit, in dollars, from producing and selling
q
q
q
units of a certain item is modeled by
P
(
q
)
=
q
(
50
−
2
q
)
−
100
P(q)=q(50-2q)-100
P
(
q
)
=
q
(
50
−
2
q
)
−
100
. For what production level
q
q
q
(in units) is the profit maximized? a)
25
25
25
b)
12.5
12.5
12.5
c)
10
10
10
d)
50
3
≈
16.7
\dfrac{50}{3}\,\approx16.7
3
50
≈
16.7
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