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Mathematics
Problem
A company’s revenue (in dollars) from the sale of
q
q
q
units is
R
(
q
)
=
40
q
−
q
2
R(q)=40q-q^{2}
R
(
q
)
=
40
q
−
q
2
, and its cost (in dollars) is
C
(
q
)
=
10
q
+
50
C(q)=10q+50
C
(
q
)
=
10
q
+
50
for
q
≥
0
q\ge 0
q
≥
0
. Determine the quantity that maximizes the company’s profit. a)
q
=
20
q=20
q
=
20
b)
q
=
10
q=10
q
=
10
c)
q
=
15
q=15
q
=
15
d)
q
=
25
q=25
q
=
25
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