Business: profit-and-loss analysis. A printing shop has fixed costs of $8000 for producing a newly designed note card. The variable costs are $0.08 per card. The revenue from each card will be $0.50. a. Find C ( x ) , the total cost of producing x cards. b. Find R ( x ) , the total revenue from the sale of x cards. c. Find P ( x ) , the total profit from the production and sale of x cards. d. How many cards must the company sell in order to break even?
Business: profit-and-loss analysis. A printing shop has fixed costs of $8000 for producing a newly designed note card. The variable costs are $0.08 per card. The revenue from each card will be $0.50. a. Find C ( x ) , the total cost of producing x cards. b. Find R ( x ) , the total revenue from the sale of x cards. c. Find P ( x ) , the total profit from the production and sale of x cards. d. How many cards must the company sell in order to break even?
Solution Summary: The author calculates the total cost C(x) of producing x cards if fixed cost for a newly designed note card is 8000
Business: profit-and-loss analysis. A printing shop has fixed costs of $8000 for producing a newly designed note card. The variable costs are $0.08 per card. The revenue from each card will be $0.50.
a. Find
C
(
x
)
, the total cost of producing x cards.
b. Find
R
(
x
)
, the total revenue from the sale of x cards.
c. Find
P
(
x
)
, the total profit from the production and sale of x cards.
d. How many cards must the company sell in order to break even?
The graph of the function f in the figure below consists of line segments and a quarter of a circle. Let g be the function given by
x
g(x) = __ f (t)dt. Determine all values of a, if any, where g has a point of inflection on the open interval (-9, 9).
8
y
7
76
LO
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2 3
♡.
-1
-2
3
-4
56
-5
-6
-7
-8
Graph of f
4 5
16
7
8
9 10
The areas of the regions bounded by the graph of the function f and the x-axis are labeled in the figure below. Let the function g be
C
defined by the equation g(x) = [* f(t)dt. What is the maximum value of the function g on the closed interval [-7, 8]?
17
y
Graph of f
00
8
76
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3-2-1
-2
702
4
1
21
3 4
568
-4
-5
--6
-7
-8
x
5
6
7
8
9 10
17
Chapter R Solutions
Calculus and Its Applications, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
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