PRACTICE FINAL EXAM
1.
The linear cost function for producing x items is
3600
10
)
(
+
=
x
x
C
and the items sell for $40 each.
Thinking
A.
Determine how many items need to be sold in order to break even.
B.
What’s the marginal cost?
2.
A mixture of 100 pounds of coffee will be made from two different types of coffee.
Type I costs $3 per pound and
Type II costs $5 per pound.
How many pounds of each type of coffee need to go into the mixture so that the resulting
mixture costs $3.60 per pound?
3.
How much money can be withdrawn each month for the next 20 years from an account containing $250,000 if the
account is paying 4% compounded monthly?
4.
What annually compounded interest rate would you need to turn $4,000 into $5,200 in 3 years?
Express your
answer as a percentage rounded to 2 decimal places (for example:
12.24%).
5.
Given the function
x
x
x
f
6
3
)
(
2

=
, answer the following questions (parts AF)
A.
Find the average rate of change from x = 1 to x = 3.
B.
Find the instantaneous rate of change at x = 2.
C.
Find the equation of the tangent line to the function at x = 2.
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 Spring '08
 
 Derivative

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