Answers
Based on the information provided, the cost function, C(x) is given by 80x + 6000 while the demand function, P(x) is given by -1/20(x) + 920.
Mathematically, the revenue can be calculated by using the following expression:
R(x) = x × P(x)
Revenue, R(x) = x(-1/20(x) + 920)
Revenue, R(x) = x(-x/20 + 920)
Revenue, R(x) = -x²/20 + 920x.
Expressing the profit as a function of x, we have:
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = -x²/20 + 920x - (80x + 6000)
P(x) = -x²/20 + 840x - 6000.
For the value of x which maximizes profit, we would differentiate the profit function with respect to x:
P(x) = -x²/20 + 840x - 6000
P'(x) = -x/10 + 840
x/10 = 840
x = 840 × 10
x = 8,400.
For the maximum profit, we have:
P(x) = -x²/20 + 840x - 6000
P(8400) = -(8400)²/20 + 840(8400) - 6000
P(8400) = -3,528,000 + 7,056,000 - 6000
P(8400) = $3,522,000.
Lastly, we would calculate the price to be charged in order to maximize profit is given by:
P(x) = -1/20(x) + 920
P(x) = -1/20(8400) + 920
P(x) = -420 + 920
P(x) = $500.
Read more on maximized profit here: https://brainly.com/question/13800671
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Related Questions
Is the relation a function ?
Answers
Let f(x) = 3x^2+5, g(x)=3x-4. Find the following value or expression
(F*g)(x)=
Answers
Answer:
(f οg )(x) = 27 x² -36 x + 53
Step-by-step explanation:
Explanation:-
Given the function f(x) = 3 x² +5 and g(x) = 3x-4
(f οg )(x) = f(g(x)
= f(3x-4)
= 3 ( 3x-4)² +5 ( ∵ f(x) = 3 x² +5)
= 3 ( 9 x² - 2(3x)(4)+(4)²) +5
= 3 ( 9 x² -12 x + 16) +5
= 27 x² -36 x + 48 +5
= 27 x² -36 x + 53
Final answer:-
(f οg )(x) = 27 x² -36 x + 53
[tex](2y{}^{3}) {}^{2} [/tex]
answer:2y6
Answers
Ce clasă ești sa văd daca te pot ajuta
What is the length of the unknown side?
16
12
A 14 units
B) 20 units
C 28 units
D) 200 units
Answers
Answer:
B)20 Units is the answer for it
The circumference of a circle is _______
A. the length of the radius
B. the distance around the circle
C. the length of the diameter
D. 270
Answers
Answer:
B. the distance around the circle
Step-by-step explanation:
To easily answer this question, take a closer look at the given answer choices.
A says, "the length of the radius." Don't let the extra words trick you! This answer choice is just describing a radius. The term, "the length of--" is just there to trick you and to make you overthink. This answer choice is not correct because a radius =/= a circumference.
C says, "the length of the diameter." This is the exact same trick in choice A. Once you ignore the term, "the length off," you see that this answer choice is just describing a diameter. This answer is also incorrect because a diameter =/= a circumference.
D just says "270." This answer choice should not be considered, as there's no numbers involved in the question. The question is just looking for the definition of a circumference. Continually, not every circle's circumference is going to be 270. For these reasons, D is also an incorrect choice.
This leaves answer choice B. After eliminating the other answers, B becomes the remaining and correct choice. "The distance around the circle," is the only and correct definition of a circumference!
Answer:
Solution :B
Know More :The length of radius is not known as circumference.
Circumference or perimeter is same.
Area of circle = πr²
Perimeter of circle = 2πr
[tex] \\ [/tex]
What is 7 miles per hour in feet per minute? [Round if necessary.]
Answers
Answer:
616 feet per minute
Step-by-step explanation:
7 miles=7(5280)=36,960 feet per hour
36,960/60=616 feet per minute
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
Answers
Answer:
The area is 13
Step-by-step explanation:
By using the third picture you sent I figured out the area of both the triangle (area: 3) and the square (area: 4) and subtracted that from the area of the whole figure (20) to get the area of the shape.
10 pontos
10 points
4. What is the area of the composite figure?
6 cm
9 cm
L
2 cm
10 cm
A. 58 cm
O B. 68 cm
C. 88 cm
D. 48 cm
Answers
Answer:
hope it helped have a good day mate
Pls help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
$8.65
Step-by-step explanation:
1.25+4.75+2.50=8.5
8.5+0.056(5.6%)=8.65
Problem 5
Each of the following statements regarding the transformation of the function
y=f(x)
is false.
State what is wrong in the statement and provide the correction that would make the statement true. For example, “The sun is a planet.” is a false statement. One possible correct answer is: “Mistake: The sun is not a planet. Correction: The sun is a star.”
Part a)
When graphing the function
y=f(x+3)
, all of the
x
values would be shifted to the right by 3 because the transformation is a shift right by 3 units.
Part b)
When graphing the function
y=−f(x)
, there is a reflection over the
y
-axis.
Part c)
When graphing the function
y=2f(x)
, all of the
y
values would be multiplied by
12
because the transformation is a vertical compression by a factor of 2.
Answers
Answer:
Part AWhen graphing the function y = f(x+3), all of the x values would be shifted to the right by 3 because the transformation is a shift right by 3 units.
Mistake: This is not a shift rightCorrection: ... all of the x values would be shifted to the left by 3 because the transformation is a shift left by 3 unitsPart BWhen graphing the function y=−f(x), there is a reflection over the y-axis
Mistake: This is not a reflection over the y-axisCorrection: ...there is a reflection over the x-axisPart CWhen graphing the function y=2f(x), all of the y-values would be multiplied by 2 because the transformation is a vertical compression by a factor of 2.
Mistake: This is not a vertical compressionCorrection: ... a horizontal compression by a factor of 2Note: "multiplied by 12" considered as typo otherwise this is to be included as correction
Answer:
the answer is A When graphing the function
y=f(x+3)
, all of the
x
values would be shifted to the right by 3 because the transformation is a shift right by 3 units.
Mrs Andrew's pays $125. For a hair cut. If she gives a 25% tip, how much will she pay
Answers
Answer:
$156.25
Step-by-step explanation:
25% of 125 is 31.25. So 125+31.25 is 156.25.
Cruz is the editor of a magazine.
The magazine has 40 pages.
The magazine must have:
20% of the pages for adverts
1/4 of the pages for photos
the remaining pages for articles.
Work out the number of pages for articles in the magazine.
Show your working out.
Answers
Answer:
22
Step-by-step explanation:
20% * 40 = 20 / 100 * 40 = 800 / 100 = 8
1/4 * 40 = 40 / 4 = 10
So far we have use 8 + 10 = 18
There are 40 - 18 pages left
articles = 22
Write each mixed number as a percent.
1. 1 4/5
Answers
Answer:
180%
Step-by-step explanation:
What is the least common denominator for 1/3 and 3/4? please I need this quickly
Answers
Answer:
12
Step-by-step explanation:
Help ya girl out plsss
Answers
Answer: Scalane acute
Step-by-step explanation:
Answer:
Equilateral Acute.
Step-by-step explanation:
A triangle with 3 congruent angles is an equalateral triangle and all sides are acute
Look at the graph below: First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded above first and second line. Part B shaded below first line and above second line. Part C shaded below first and second lines. Part D shaded above first line and below second line. Which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≤ −1? (5 points) Question 10 options: 1) Part A 2) Part B 3) Part C 4) Part D
Answers
Answer:
It's Part B
Step-by-step explanation:
Got it right!
May someone please help me out with this? Look at the image above. How do I do this? May someone help me out please
Answers
Answer:
u = 9
Step-by-step explanation:
angle c and a are congruent so take the 2 angles and turn them into an equation
u + 99 = 12u
subtract 1u from both sides, you're left with 99 = 11u
now, divide each side by 11
now you'll get the value of u which is 9 (u = 9)
since 99/11 is 9 that's the value of u.
1/8 x a number equals 2
Answers
Answer:
The number should be 16.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
1/8 * x = 2
x = 16
I have to turn this in at 5:00 pls help!!!
Answers
There’s 12 bass fish and 30 fish overall
Which equals:
12/30
And then if you simplify 12/30 you get 2/5
Write an equation of the line in slope-intercept form.
2
у
2
(2, 2)
-2
2
4 x
(0, - 2)
2
y =
l
Answers
select two choices that are equivalent to 5v-12v+3v=
Answers
Answer:4v
Step-by-step explanation:
I need helppp picture is provided
Answers
A
Because it is 6.16
write a linear function in slope intercept form only that corresponds with this table
Answers
Because,
slope intercept form is y=mx+b
Where y is the y values, m is slope, x is x values, and b is y-intercept
First, to find the slope use rise/run, so rise (from 10 to 13) is 3 and run is (from 3 to 4) is 1, 3/1=3
Next to find y-intercept plug in the slope and some x and y values,
10=3(3)+b
10=9+b
1=b
So then the equation is y=3x+1 you can check by plugging stuff in and also I graphed it so I’ll add a picture
This is my first time answering questions so if I got something wrong ask or something hope this helps :)
A box contains 12 cereal bars. The empty box weighs 1.75 oz. The box
and the bars weigh 18.55 oz. What is the weight of each cereal bar?
Answers
Answer:
Step-by-step explanation:
Answer: the answer is 6.25
Step-by-step explanation:
How do you do the last couple of questions?
Answers
Answer:
SANAOL COMPUTER
Step-by-step explanation:
SORRY DI KO PO ALAM EHH
2+2
uhhh help plzzzzzz
Answers
Answer:
6
Step-by-step explanation:
4
Home work
Give (2) advantages and
disadvantages of modern
and traditional Kitchen
Answers
Answer:
modern kitchen=sandwich,Chinese food etc.
traditional kitchen = roti,sabji indian food etc.
I WILL GIVE BRAINLIEST solve the question below
Answers
Answer:
[tex]J' = (-2,-4)[/tex]
Step-by-step explanation:
Given
The attached figure
[tex]J = (-3,-6)[/tex]
[tex]D_{o,\frac{2}{3}}(x,y)[/tex]
Required: Determine J'
The given transformation: [tex]D_{o,\frac{2}{3}}(x,y)[/tex] means that the quadrilateral is dilated by a scale factor or 2/3.
So, J' is calculated as:
[tex]J' = \frac{2}{3} * J[/tex]
[tex]J' = \frac{2}{3} * (-3,-6)[/tex]
[tex]J' = (\frac{2}{3} * -3,\frac{2}{3} * -6)[/tex]
[tex]J' = (2*-1,2*-2)[/tex]
[tex]J' = (-2,-4)[/tex]
Hence, J' = (-2,-4)
If your car gets 25 miles per gallon, how much does it cost to drive 410 miles when gasoline costs $3.40 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)
Answers
Answer:
Step-by-step explanation:
410/25 = 16.4 gallons of gas
16.4*$3.40 = $55.76
a $5 bill is exchanged for 72 coins having a total calue.of $5. Some of the coins are nickels and the rest are dimes. How many dimes are in the exchange?
Answers
Hi there!
Ok so we know that every nickel is €5 and every dime is €10...
Let think...
If it is 30 nickels it would be 150 cents and would also be 1.50$...
Now we know that there is 42 dimes left.. let see if it can be equaled.
[tex]42[/tex]·[tex]10=4.62[/tex]
Adding both together would be 6.12 and it’s more than 5$ so this means that the nickels must be more.
Now let think again.. if it would be 44 nickels then the rest for 5.00 would be 2.20 and 72 subtract by 44 is 28. 28 multiply by 10 is perfectly 2.80.. now let check...
[tex]44[/tex]·[tex]5=2.20[/tex]
[tex]72-44=28[/tex]
[tex]28[/tex]·[tex]10=2.80[/tex]
[tex]2.20+2.80=5.00[/tex]
Therefore, the total of dimes would be 28...