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

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Answers

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Answer:

23

Step-by-step explanation:

A birdwatcher on a cliff saw a eagle 70 feet above him. Earlier, he had spotted the eagle 30 feet above him. Which integer represents the eagle's change in altitude?

Answers

The integer that represents the altitude change is -40

How to determine the integer that represents the altitude change?

From the question, the positions of the eagle are

70 feet above him and 30 feet above him

Rewrite the positions of the eagle properly

This is done as follows

Position 1 =  70

Position 3 =  30

The expression of the altitude change in the position of the eagle is then calculated as

Change = Position 2 - Position 1

Substitute the known values in the above equation

So, we have the following equation

Change = 30 - 70

Evaluate

Change = -40

Hence, the altitude change is -40

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Cups are sold in packages of 8. Napkins are sold in packages of 6. If you want to purchase the fewest number of cups and the fewest number of napkins so there will be the same of each, how many packages of napkins will there be?

Answers

I think 4 is the answer

Leah read 1/2 of a book in the morning, and she read some at night. By the end of the day, she still had 2/5 of The book to read left. How much of the book did Leah read at night?

Answers

Answer:

1/10

Step-by-step explanation:

First, you have to get common denominators, so we will use 10. She read 5/10 in the morning, so that is 5/10 of the book left. 2/5 = 4/10 left, so if you added those two numbers up, you only get 9/10. So this means that she read 1/10 at night. I hope this helps!

which of the following is 6.3 not a possible solution

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Step-by-step explanation:

ang qt ko share ko lang bleeeh

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Charlie has completed 12 deliveries so far this week. He needs to make 16 deliveries for the week. What percentage of his deliveries has Charlie completed?

Answers

Answer:

75%...........................

A baseball team plays in a stadium that holds 74000 spectators. With the ticket price at $9 the average attendance has been 30000. When the price dropped to $8, the average attendance rose to 37000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue

Answers

Answer:

solution

$9=30000

$8=37000

$?=74000

=$3

Tulsi and Gary are competing in a basketball free throw competition. Tulsi’s ratio of free throws made to free throws missed is 3 to 5. Gary’s ratio of free throws made to free throws missed is 10 to 15. Who has the better ratio for making free throws?

pls help

Answers

Gary because 10 to 15 rounds down to 2/3 which is greater than 3 to 5

Answer:

Gary

I have no idea how to explain this but I do know for a fact that the answer is Gary.

A TV Screen is measured according to the diagonal of the screen. If a 65-inch TV has a height f 33 inches, what is it's width?

Answers

Answer:

The width of the TV screen is 56 inches.

Step-by-step explanation:

We can find the width of the TV screen by using Pitagoras:  

[tex] D^{2} = H^{2} + W^{2} [/tex]

Where:

D: is the diagonal = 65 in

H: is the height = 33 in

W: is the width =?

Then, the width is:

[tex] W = \sqrt{D^{2} - H^{2}} = \sqrt{(65 in)^{2} - (33 in)^{2}} = 56 in [/tex]

Therefore, the width of the TV screen is 56 inches.

I hope it helps you!        

Answer:

56in

Step-by-step explanation:

If brownies are $1.80 each how much is that for 10 brownies

Answers

Answer:

18 just move the decimal because there is one zero

If you have 9/10 of a pound of granola, how many 1/5 pound bags can you fill?

Answers

you can fill 4 1/2 bags

but why u got so much granola lol

Answer:

4 full bags and 1/2 a bag

Step-by-step explanation:

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Answer:

yes

Step-by-step explanation:

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Which of the following represents the series shown? Check all that apply. 11+17+23+29

Answers

Answer:

80

Step-by-step explanation:

have a wonderful day :)

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An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

The depth of the aquarium is 3 feet.

Step-by-step explanation:

From the formula for the volume of a bar we find that [tex]V=whl[/tex], where [tex]w[/tex] is the width, [tex]h[/tex] is the height (depth), and [tex]l[/tex] is the length of the bar (which in this case is the aquarium). So [tex]h=\frac{V}{wl}[/tex] and by substituting [tex]V=11.94[/tex], [tex]w=1.4[/tex] and [tex]l=2.6[/tex] we can see that [tex]h=\frac{V}{wl} = \frac{11.94}{2.6 \cdot 1.4} = 3.2802... \approx 3[/tex] feet (rounding to the nearest whole number).

So the depth of the aquarium is 3 feet.

Find the slope of the line through these two points: (-2, -1) and (10, 2).
[Write slope as a decimal, not a fraction.]

Answers

Answer:

[tex]y=0.25x-0.5[/tex]

Step-by-step explanation:

Firstly, the slope is [tex]\frac{3}{12} = 0.25[/tex], then you get the expression of the line.

baa baa the black sheep had 7 pounds of wool if he separated the wool equally into 3 bags how much wool would be in 2bags

Answers

Answer:

4 pounds and 2/3 of a pound

each bag would contain 2 pounds and 1/3 of a pound so two pounds would be two times that so 4 pounds and 2/3 of a pound is the answer.

i.dk if this is what u needed but good luck

hope this helped

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Answers

Answer:

50 fish

Step-by-step explanation:

80% 40 fish :8

10% 5 fish x10

100% 50 fish

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The length of the indicated side is

Answers

Answer:

d

Step-by-step explanation:

Because you need to substitute the variable first, multiply that and add 8.

Which of the hhh-values satisfy the following inequality?
6\geq\dfrac h26≥
2
h

6, is greater than or equal to, start fraction, h, divided by, 2, end fraction
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
h = 12h=12h, equals, 12

(Choice B)
B
h = 14h=14h, equals, 14

(Choice C)
C
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Answers

Answer:

H=12

Step-by-step explanation:

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Answers

2 1/2 is the answer

A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 50% of the cameras sold have been of the basic model. Of those buying the basic model, 34% purchase an extended warranty, whereas 47% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model

Answers

Answer:

0.4198 = 41.98% probability that he or she has a basic model

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Extended warranty

Event B: Basic model

Probability of extended warranty:

34% of 50%(basic model)

47% of 100 - 50 = 50%(deluxe model). So

[tex]P(A) = 0.34*0.5 + 0.47*0.5 = 0.405[/tex]

Intersection of events A and B:

34% of 50%(basic model with extended warranty). So

[tex]P(A \cap B) = 0.34*0.5 = 0.17[/tex]

How likely is it that he or she has a basic model

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.17}{0.405} = 0.4198[/tex]

0.4198 = 41.98% probability that he or she has a basic model

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Answers

Answer:

94 hours

Step-by-step explanation:

3 days = 3×24 =72total hours= 72 + 22 = 94

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Answers

Answer:

D. [tex] 9 \sqrt{2} [/tex]

Step-by-step explanation:

Side length of square = Perimeter/4 = 36/4 = 9

Length of diagonal (x)

[tex] = length \: of \: side \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]

(3,19), (-1,-13) I need help with this answer

Answers

Answer:

Step-by-step explanation:

I need more information

Dion builds a pattern that is represented by the equation b equals 2 F + 6 where f is the figure number of the pattern and B is the number of blocks in each figure. How many blocks are needed to make the 9th figure in the pattern?​

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

Using 9 as the figure number, Dion's equation tells us there are ...

  2(9) +6 = 18 +6 = 24 blocks in figure 9

Help needed today plsss

Answers

Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2

Step-by-step explanation:

Hope this helps

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Answers

Answer:

106

Step-by-step explanation:

B) 106

Explanation:
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words every 20 minutes, whilo Becky's rate is represented by the graph below. Who types at a faster rate , Armav or Becky? PLEASE HELP I WILL MARK YoU BRAINALIST!!!!

Answers

Answer:

The anwser is 1340

Step-by-step explanation:

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Answers

Answer: 3 feet tall

Step-by-step explanation:

50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.

sequence
60,45, 33.75 ....​

Answers

33.75,45,60 is the answer!!!!
The next number in the sequence is 25.3125.
60 x .75 (or 3/4) = 45
45 x .75 = 33.75
33.75 x .75 = 25.3125
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