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!

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:

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]

A pet store has 40 freshwater fish. Of all the fish in the store, 80% are freshwater fish. How many fish does the store have in all?

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
h =16h=16

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

sequence
60,45, 33.75 ....​

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?​

PLEASE HELP IM BEING TIMED

what is the answer to
24(4 goes up)+7

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

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

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?

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

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?

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

AHHH HELP

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.

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

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?

PLEASE HELP !!

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?

3 days 22 hours equals how many hours

Perimeter = 16x + 8
The length of the indicated side is

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

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

What is 30/12 written as a mixed number?

Help needed today plsss

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

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?

The perimeter of the square is 36. What is the length of the diagonal, x? HELPNPLZ FOR THE LOVE OF GOD

which of the following is 6.3 not a possible solution

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!!!!

When Trudy planted a large bush in her garden, it was 2 feet tall. Now it is 50% taller. How tall is the bush now?

Mkkkknnehejdjdijdjdndnc cncjr