1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrej [43]
3 years ago
14

The unit cost, in dollars, to produce bins of cat food is $4 and the fixed cost is $18424. The revenue function, in dollars, is

R(x)=−2x^2+478x
Find the cost function.
C(x)=
Find the profit function.
P(x)=
At what quantity is the smallest break-even point?
Mathematics
1 answer:
Inessa [10]3 years ago
8 0

Answer:

49

Step-by-step explanation:

The cost function is the sum of the costs as a function of the number of bins made.

C(x) = 4x + 18424

The profit function is the difference between the revenue and the cost functions.

P(x) = R(x) - C(x)

P(x) = -2x^2 + 478x - (4x + 18424)

P(x) = -2x^2 + 474x - 18424

The smallest break-even point is the smallest value of x at which profit is zero. Zero profit means there is no gain and no loss.

P(x) = -2x^2 + 474x - 18424 = 0

x^2 - 237x + 9212 = 0

9212 = 2^2 * 7^2 * 47

(x - 188)(x - 49) = 0

x - 188 = 0 or x - 49 = 0

x = 188 or x = 49

Answer: 49

You might be interested in
The glass container is shown filled to a height of 2.25 inches. How much sand is currently in the container.
JulijaS [17]
2.25 inches of sand.
3 0
3 years ago
40 points and brainliest answer to the first correct answer:
lilavasa [31]
<span>40.19 + 2.06x


I think its the right one, not sure though

Hope this helped</span>
6 0
3 years ago
Read 2 more answers
A swimming pool at a park measures 9.75 meters by 7.2 meters what is the area?
Brilliant_brown [7]
The area is 70.2 meters because length times width equals area okay also there's a magical invention called a calculator that might be helpful in the future my friend
5 0
3 years ago
How can I solve this?
Eva8 [605]

Answer:

they are congruent so 47 is also the measurement for its corresponding angle(aka the corner that doesn't have a variable)

and in a triangle, interior angles add to 180 so 47+x+y=180

90 + 43 = 133

+47= 180

so your answer is a

hope this helps!!

8 0
2 years ago
Solve the equation 1/3m+6m-9/3m=3m-3/4m
vekshin1
M
=
0

O
r

m
=
23
15

Explanation:
1
3
m
+
6
m
−
9
3
m
=
3
m
−
3
4
m



⇒
1
+
6
m
−
9
3
m
=
3
m
−
3
4
m





⇒
−
8
+
6
m
3
m
=
3
m
−
3
4
m





⇒
(
−
8
+
6
m
)
×
4
m
=
(
3
m
−
3
)
×
3
m





⇒
−
32
m
+
24
m
2
=
9
m
2
−
9
m





⇒
−
32
m
+
24
m
2
−
9
m
2
+
9
m
=
0





⇒
15
m
2
−
23
m
=
0





⇒
m
(
15
m
−
23
)
=
0



m
=
0



Or


15
m
−
23
=
0
⇒
15
m
=
23
⇒
m
=
23
15
3 0
2 years ago
Other questions:
  • Drag and drop numbers into the boxes so that the paired values are in a proportional relationship. x 1 5 15 25 y 0.2 1 2 3
    5·1 answer
  • the ratio of the length and the width of a rectangle is 2:5. If the rectangle has a perimeter of 98 inches, what is the area of
    9·1 answer
  • Liam bought a picture frame that cost $12 plus 8% sales tax. He wrote the expression 1.08(12) to find his total cost.
    7·2 answers
  • Find the midpoint of the line segment joining the points ​(-1​,​-1) and ​(-3​,​12).
    6·1 answer
  • What is the probability that on 9 tosses of a fair coin, at least one tail will appear?
    11·1 answer
  • 38 In the faculty parking lot of a school 21 out of 25.cars have four doors. What
    6·1 answer
  • <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D-x-2%20%7D%7Bx-5%7D" id="TexFormula1" title="f(x) = \fra
    8·1 answer
  • What does 24 + (-13)​
    12·1 answer
  • Madison and Tyler each wrote an expression that is equivalent to 14.1 (19.8 + 7.6). The expressions they created are shown in th
    11·2 answers
  • !!!! PLEASE HELP!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!