Daniel recently opened a bakery specializing in fresh bread. He determines that his daily profit, in dollars, can be modeled by the function
P
(
x
)
9
x
2
90
x
81
,
where
x
is the price of each loaf of bread, also in dollars. Daniel will break even when his profit is
0
.
Rewrite the function in the form
P
(
x
)
a
(
x
r
1
)
(
x
r
2
)
by factoring. What are the values of
a
,
r
1
,
and
r
2
?
a
r
1
r
2
Now use your answers to complete the sentence.
Daniel will break even by charging either
or
per loaf. He will make a profit by charging a price between those two amounts.
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