(Section 1.10: Difference Quotients)
1.10.5
PART E: EVALUATING DIFFERENCE QUOTIENTS
Example 2 (Form 1 of a Difference Quotient; Profit)
A company sells widgets. Assume that all widgets produced are sold.
Let
P
be the profit function for the company;
Px
()
is the profit (in dollars)
if
x
widgets are produced and sold. Our model:
=
±
x
2
+
200
x
±
5000
.
Find the
average rate of change of profit
between 60 and 90 widgets.
WARNING 2
:
We will treat the domain of
P
as
0,
±
²
³
)
, even though one
could argue that the domain should only consist of integers. Be aware of this
issue with applications such as these.
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 Spring '09
 Addition, Harshad number, Widgets, Difference Quotients

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