The marketing department of a company estimates that the demand for a product is given by p=87−0.002x
p
=
87
−
0.002
x
dollars, where p
p
is the price per unit and x
x
is the number of units.
the cost of producing x
x
units is given by c=470+70x
c
=
470
+
70
x
dollars, and the profit for producing x
x
units is given by
p=r−c=xp−c.
p
=
r
−
c
=
x
p
−
c
.
skech the graph of the profit function and estimate the number of units that would produce a maximum profit.

x
x
for maximum: