1.
2.
3.
4.
ID: Bus Econ 3.1.49
Use the following rule to determine the income tax for an individual where x is the person's income. Find the tax due on an
income of $
.
3750
h(x) =
0.02x, if 0 ≤ x < 4000
80 + 0.03(x − 4000), if 4000 ≤ x < 9000
230 + 0.04(x − 9000), if x ≥ 9000
What is the tax due on an income of $
?
3750
$
(Round to the nearest cent as needed.)
ID: Bus Econ 3.3.25
Assume that the following has a linear cost function. Find the cost function, C(x), revenue function, R(x), and profit function,
P(x), where x is the number of items produced (or sold).
Fixed Cost
Marginal Cost
Item Sells for
$200
$16
$27
What is the cost function?
C(x)
(Simplify your answer. Do not include the $ symbol in your answer.)
=
What is the revenue function?
R(x)
(Simplify your answer. Do not include the $ symbol in your answer.)
=
What is the profit function?
P(x)
(Simplify your answer. Do not include the $ symbol in your answer.)
=
ID: 3.4.19
Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.
vertex (
,
); point (
,
)
− 3 − 2
3 34
f(x) =
ID: Bus Econ 3.3.21
A resident in a particular city pays a water bill of $
per month plus $
per 1000 gallons of water used (up to 4000
gallons). If this city has
customers that use less than 4000 gallons a month, find its monthly revenue function R(x),
where the total number of gallons x is measured in thousands.
3.56
1.12
693,000
R(x)
=
(Use integers or decimals for any numbers in the expression. Do not include the $ symbol in your answer.)
5.
6.
ID: 3.2.43GC
Using a graphing calculator, find the xintercepts of the function.
f(x)
= 0.1x
− 0.8x
− 2.5x + 20
3
2
The zeros are
.
(Use commas to separate answers as needed.)
ID: 3.2.9
Graph the function.
f(x)
x

=
− 2
Choose the correct graph.
A.
10
10
10
10
x
y
B.
10
10
10
10
x
y
C.
10
10
10
10
x
y
D.
10
10
10
10
x
y
7.
Recall that profit equals revenue minus cost. For the revenue and cost functions shown, answer parts
(a)
through
(e)
below.
R(x)
and C(x)
x
, with 0
x
= 500x − 2x
2
= 300
+ 4250
≤
≤ 100
(a)
Find the breakeven point.
The breakeven point(s) is(are) x
.
=
(Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as needed.)
(b)
Find the xvalue that makes profit a maximum.
x
(Type an integer or decimal rounded to one decimal place as needed.)
=
(c)
Find the maximum profit.
The maximum profit is $
.
(Type an integer or decimal rounded to one decimal place as needed.)
(d)
For what xvalues will a loss occur?
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to one decimal place as needed.)
8.
ID: Bus Econ 3.4.63
ID: 3.1.7
Decide whether the relation defines y as a function of x.
(e)
For what xvalues will a profit occur?
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to one decimal place as needed.)