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Mathematics
Problem
Market research shows that 1000 units sell when the price is \
15
,
a
n
d
f
o
r
e
v
e
r
y
15, and for every
15
,
an
df
or
e
v
er
y
1 increase in price, 50 fewer units are sold. Fixed costs are \
2000
a
n
d
e
a
c
h
u
n
i
t
c
o
s
t
s
2000 and each unit costs
2000
an
d
e
a
c
h
u
ni
t
cos
t
s
5 to produce. Find the price that maximizes profit.
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