A cleaning company charges $ 100 for each office it cleans. The fixed monthly cost of $ 480 for the company includes telephone service and the depreciation on cleaning equipment and a van. The variable cost is $ 52 per office and includes labor, gasoline, and cleaning supplies. (See Example 9) a. Write a linear cost function representing the cost C x in $ to the company to clean x offices per month. b. Write a linear revenue function representing the revenue R x in $ for cleaning x offices per month. c. Determine the number of offices to be cleaned per month for the company to break even. d. If 28 offices are cleaned, will the company make money or lose money?
A cleaning company charges $ 100 for each office it cleans. The fixed monthly cost of $ 480 for the company includes telephone service and the depreciation on cleaning equipment and a van. The variable cost is $ 52 per office and includes labor, gasoline, and cleaning supplies. (See Example 9) a. Write a linear cost function representing the cost C x in $ to the company to clean x offices per month. b. Write a linear revenue function representing the revenue R x in $ for cleaning x offices per month. c. Determine the number of offices to be cleaned per month for the company to break even. d. If 28 offices are cleaned, will the company make money or lose money?
A cleaning company charges
$
100
for each office it cleans. The fixed monthly cost of
$
480
for the company includes telephone service and the depreciation on cleaning equipment and a van. The variable cost is
$
52
per office and includes labor, gasoline, and cleaning supplies. (See Example 9)
a. Write a linear cost function representing the cost
C
x
in $
to the company to clean
x
offices per month.
b. Write a linear revenue function representing the revenue
R
x
in $
for cleaning
x
offices per month.
c. Determine the number of offices to be cleaned per month for the company to break even.
d. If 28 offices are cleaned, will the company make money or lose money?
Is the function f(x) continuous at x = 1?
(x)
7
6
5
4
3
2
1
0
-10 -9
-8 -7
-6
-5
-4
-3
-2
-1 0
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-71
Select the correct answer below:
The function f(x) is continuous at x = 1.
The right limit does not equal the left limit. Therefore, the function is not continuous.
The function f(x) is discontinuous at x = 1.
We cannot tell if the function is continuous or discontinuous.
Question
Is the function f(x) shown in the graph below continuous at x = -5?
f(z)
7
6
5
4
2
1
0
-10
-6 -5
-4
1
0
2
3
5
7
10
-1
-2
-3
-4
-5
Select the correct answer below:
The function f(x) is continuous.
The right limit exists. Therefore, the function is continuous.
The left limit exists. Therefore, the function is continuous.
The function f(x) is discontinuous.
We cannot tell if the function is continuous or discontinuous.
The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = -1.
654
-2-
-7-6-5-4-
2-1
1 2
5 6 7
02.
Select all that apply:
☐ f(x) is not continuous at x = -1 because f(-1) is not defined.
☐ f(x) is not continuous at x = −1 because lim f(x) does not exist.
x-1
☐ f(x) is not continuous at x = −1 because lim ƒ(x) ‡ ƒ(−1).
☐ f(x) is continuous at x = -1
J-←台
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