Total profit P is the difference between total revenue R and total cost C. Given the following​ total-revenue and​ total-cost functions, find the total​ profit, the maximum value of the total​ profit, and the value of x at which it occurs.

R(x)=1300x-x^2
C(x)=3300+20x

Will give brainliest!

Answers

Answer 1

Answer: Oh no... Anyway's wanna ask me a question about sex ed?

Step-by-step explanation: x=495

,P=241,525

Step-by-step explanation:

Given that

Profit=Total revenue - total cost

P= R -C

Also given that

So

Above equation is the total profit in terms if x.

Now to find maximum value of P we have to differentiate above equation with respect to x

So

⇒x=495

So total profit at x=445  ,P=241,525

Answer 2

Answer:

The profit function is:

[tex]P(x)=-x^2+1280x-3300[/tex]

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

[tex]R(x)=1300x-x^2[/tex]

And the cost function is:

[tex]C(x)=3300+20x[/tex]

Then the total profit function will be:

[tex]P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300[/tex]

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

[tex]\displaystyle x=-\frac{1280}{2(-1)}=640[/tex]

And the maximum profit will be:

[tex]P(640)=-(640)^2+1280(640)-3300=406300[/tex]


Related Questions

7. Use substitution. What is the solution
to the system of equations? Explain.
This is the question and equation please helpppppp

Answers

12(1/4x + 4) - 48 = 3x
3x + 48 - 48 = 3x
x = 0

y = 1/4(0) + 4
y = 4
1) solve y
y= x/4+4
2) substitute- y=x/4+4 into y-48=3x
3x=3x

Hope this helps, and I hope you get your marks :)

6/5 of ______ is 30
Please help

Answers

6x30=180
—————-
5x1= 5
180/5=36
5/5 =1
36/1
Answer : 36

It is 36.

180/5 = 36

5/5 = 1

When we put that together, we can see that our complete answer is:

36/1  

The complete and simplified answer to the question what is 6/5 of 30 is:

36.

When 2/3 tons of coal cost $13.50, what will in ton cost?

Answers

Answer:

20.25

Step-by-step explanation:

Divide 13.50 by 2 and then multiply by 3.

The line across which a figure is flipped is called the line of transformation.
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

In a certain chemical, the ratio of zinc to copper is 4 to 11. A jar of the chemical contains 418 grams of
copper. How many grams of zinc does it contain?
It contains
grams of zinc.

Answers

Answer:

Step-by-step explanation:

Zinc:copper = 4:11

Amount of zinc = 4x

Amount of copper = 11x

11x = 418

x = 38 grams

Amount of zinc = 4x = 152 grams

Buffy ate 10 hot dogs every 35 minutes. At that rate, how long, in minutes will it take to eat 6 hot dogs

Answers

Answer:

21 minutes

Step-by-step explanation:

35 ÷ 10 = 3.5

3.5 × 4 = 14

35 - 14 = 21

=21

What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative

Answers

Answer:

C

Step-by-step explanation:

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.

Answer: D both negative

Step-by-step explanation:

Trophies for Gunther’s soccer team will cost $6.25 each, plus 15 cents for every word on the engraving. Which equation could be used to find the cost, c, of each trophy based on the number of words, w , on the engraving?
Select one:

c=6.25+0.15w

c=6.25−0.15w

c=6.25+15w

c=15+6.25w

Answers

Answer: c=6.25+0.15w

Step-by-step explanation:

Please help with this question

Answers

To find out one book you have to divide 65 by 5

65/5 = 13

The answer is $13 per book

Answer:

One book would cost $13.

Step-by-step explanation:

To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.

I hope this helps you.

How long a ladder must you have to reach the top of a 15-foot wall if the bottom of the ladder is placed 4 feet from the base of the wall? Round to the nearest tenth of a foot.
14.5 ft
15.5 ft
17.0 ft
19.0 ft

Answers

Answer:

15.5

Step-by-step explanation:

on edguenity

Answer:

15.5

Step-by-step explanation:

trust

Diana had 41 stickers. She put them in 7 equal groups. She put as many as possible in each group. She gave the leftover stickers to her sister. How many stickers did Diana give to her sister?

Answers

She gave her sister 6 stickers. 41 divided by 7 = 5 with a left over of 6 stickers left.

Answer:

5 to each group and she gave 6 stickers to he sister

GIVING BRAINLIEST TOO BEST ANSWERED
Solve for p.

−4.5 + p/6 = −18.9

A
p=−117.9

B
p = −108.9

C
p = −86.4

D
p = 140.4

Answers

Answer:

c p = -86.4

aww man I got to explain too I used this app called math - way they will explain it

A circular pool has a radius of 10 feet. What is the area of the pool? Use 3.14 for it. The area of the pool is about ft?​

Answers

Answer:

314ft^2

Step-by-step explanation:

The area of a circle is found using this equation:

A=3.14r^2

r = radius

so if we know the radius is 10ft, we can put that into the equation and it will read:

A=3.14(10)^2

^2 means squared, for clarification.

Using PEMDAS we know to do exponents first

A=3.14(100)

Now multiply

A=314

and don't forget to add your units and square!

A=314ft^2

Evaluate the expression below, if a = 3, b = 4, c = 12, and d = 1

Answers

Alabama hi hi hi hi hi hi hi hi hi hi

1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:​

Answers

Answer:

Cuadrilátero A: [tex]A = y^{2}+4\cdot y +4[/tex]

Cuadrilátero B: [tex]A = a^{2}+6\cdot a + 9[/tex]

Step-by-step explanation:

Existen dos formas distintas de determinar las áreas de cada cuadrilátero:

(i) Obtener el área de cada cuadrado y sumar los resultados.

(ii) Calcular los lados del cuadrilátero grande y determinar el área.

Cuadrilátero A

Método (i)

[tex]A = y^{2}+2\cdot y +4+2\cdot y[/tex]

[tex]A = y^{2}+4\cdot y +4[/tex]

Método (ii)

[tex]A = (y+2)\cdot (y+2)[/tex]

[tex]A = y^{2}+4\cdot y + 4[/tex]

Cuadrilátero B

Método (i)

[tex]A = a^{2}+3\cdot a +9 + 3\cdot a[/tex]

[tex]A = a^{2}+6\cdot a +9[/tex]

Método (ii)

[tex]A = (a+3)\cdot (a+3)[/tex]

[tex]A = a^{2}+6\cdot a + 9[/tex]

(05.06)Use a net to find the surface area of the right triangular prism shown below:

Three rectangles next to each other with a width of 8 feet. The first and second rectangles length are unknown, and the last is 13 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 5 feet and a height of 12 feet.

88 square feet
232 square feet
283 square feet
300 square feet

Answers

Answer: The answer is 300

Step-by-step explanation: The triangle formula = ( B · H) ÷ 2

B = 5     H = 12     5 · 12 = 60 ÷ 2 = 30

Since there is two triangles you will have two 30's.

The rectangle farthest to the right = 13 · 8 = 104

If you unfold the triangle it will line up perfectly with the 3 rectangles, so...

The middle rectangle = 5 · 8 = 40

The rectangle farthest to the right = 12×8 = 96

Add them all up

30 + 30 + 104 + 40 + 96 = 300

Hope this helped!

Answer:

300

Step-by-step explanation:

A $65.00 coat is now on sale for $52.00. What percent discount is given.

Answers

65-52=13

13x100

65 = 20%

the discount is given 20%

Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM

Answers

Answer: I think it’s cm = b, I think your image is very hard to see

Step-by-step explanation:

The given quadrilateral is a parallelogram.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

The proof is as follows;

          STATEMENTS                                       REASONS

1)  AM = CM and BM = DM                                    Given

2) m ∠ AMB = m ∠ DMC and

m ∠ AMD = m ∠ BMC                          Definition of Vertical angles

3) Δ AMB ≅ Δ DMC and

Δ AMD ≅ Δ BMC                                 By SAS congruency criterion

4) AB = CD and

BC = AD                                                BY CPCTC

5) ABCD is a parallelogram                If both pairs of opposite sides of a                                      

                                                           quadrilateral are congruent then it is    

                                                                           a parallelogram.

Hence, proved, ABCD is a parallelogram.

For more references on parallelograms, click;

https://brainly.com/question/29147156

#SPJ6

slope
y intercept
x intercept​

Answers

Answer:

Step-by-step explanation:

y = mx + b

Here, m is the slope.

b is the y-intercept

x-intercept = -b/m

y = 3x -4

a) slope = 3

b) y-intercept = (-4)

c)  x -intercept = -(-4)/3 = 4/3

[tex]y = \frac{1}{5}x-3[/tex]

a) slope =  [tex]\frac{1}{5}[/tex]

b) y-intercept = (-3)

c)  x -intercept = [tex]-\frac{1}{5}[/tex]÷(-3)

                      [tex]= \frac{-1}{5}*\frac{-1}{3}\\\\=\frac{1}{15}[/tex]

       

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PLS SHOW THE WORK!!!!!!!!

Answers

Answer:

The answer is (-4/11, -19/11)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. Hoped this helped!

Brainly, Please?

A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is
$150 plus $4 per day. The fee for a game booth is $95 plus $10 per day. The fair lasts for d days, and all the
booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the
company is paid.
The expression is

Answers

Answer:

290d + 245

Step-by-step explanation:

Hello! So what you do first is make two equations, then combine them.

For the food booths, the equation would be 15(4d) + 150

For the game booths, the equation would be 23(10d) + 95

Now simplify them.

Food booths: 60d + 150

Game booths: 230d + 95

Next, we combine the two equations to get one equation.

60d + 150 + 230d +95

Simplify even more...

290d + 245

This is going to be your equation. I don't know the number of days the fair went so I can't go any futher on this question. Hope this helps though!

I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?

Answers

Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Initial deposit of $400.

This means that [tex]P = 400[/tex]

2% annual interest

This means that [tex]I = 0.02[/tex]

How much interest will he earn in 9 months?

An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]

This is E. So

[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]

He will earn $6 in interest in 9 months.

1. 8.3 is equal to _____ tenths ______ hundredths
2. 28 is equal to ______ hundredths _______tenths.

Answers

Answer:

8.3 is equal to eight tenths 3 hundredths

28 is equal to 28 tenths.

I really need help quickly please!!!!

Answers

Answer:The third one is!!

Step-by-step explanation:

The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4

Yup absolutely right nice one

Simplify the expression:
(8 - 3)(-7) =
I
Submit

Answers

Answer:

(8-3)(-7) =8×-7=-56 (-3)×(-7)=+21

Step-by-step explanation:

then -56+21= 77

plz help me with this

Answers

Answer:

You do it yourself jk There is a positive linearly accending correlation with an increase of 80 products for every increase of 10 employees respectively.y=8(x)+120initial products are the factory and increase per employee

write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)

Answers

9514 1404 393

Answer:

  y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

  y = mx +b

  y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

  b = 9 -4(4) = -7

The desired equation is ...

  y = mx +b

  y = 4x -7

PLEASE HELPPPPP ME IN BEGGING YOU

Answers

Answer:

im going to say its B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

All you gotta do is take each angle and subtract it from 180. Jus learned dis in geometry.

180-133= 47

180-108=72

180-119=61

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes. The taxi time has a bell/mound shape distribution. On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time. Round the final answer to 2 decimal places.

Answers

Answer:

The z score for your flight's taxi time is of 2.14.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.

This means that [tex]\mu = 15, \sigma = 1.4[/tex]

On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.

This is Z when [tex]X = 18[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 15}{1.4}[/tex]

[tex]Z = 2.14[/tex]

The z score for your flight's taxi time is of 2.14.

You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.

The z score for our flight's taxi time is approx 2.14286

How to convert a normal distribution variate to standard normal distribution variate?

Suppose you  have got a normal distribution variate with mean  [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have

[tex]X \sim N(\mu, \sigma)[/tex]

To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

For the given case we have:

Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,

[tex]X \sim N(15, 1.4)[/tex]

Converting it to standard variate:

[tex]Z = \dfrac{X - 15}{1.4}[/tex]

Since the observed taxi time was 18 minutes, thus, we have X = 18,

Getting the z score:

[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]

Thus,

The z score for our flight's taxi time is approx 2.14286

Learn more here about normal distribution here:

brainly.com/question/14989264

$250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened
by a customer.​

Answers

Answer:

i think you want to know what is the total it is 87.5

Step-by-step explanation:

Answer:

You pay $168.75

You save $81.25

Step-by-step explanation:

First you find the 25% off

25% of 250 is 187.50

That is 62.50 saved

Now subtract 187.50 by 10%

10% of 187.50 is 168.75

That is 18.75 saved

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