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]

Evelyn jogs around the park every 4 1/4 minutes. How many laps will she jog in 38 1/4 minutes?
34
43
42 1/2
9

Home Prices The median selling price of an existing home in the United States increased continuously over the period 2011–2013 at the rate of 8.5% per year from approximately $166,000 in 2011.27 Write down a formula that predicts the median selling price of an existing home t years after 2011. Use your model to estimate, to the nearest $1,000, the median selling price of an existing home in 2013 and 2015

Which phrases can be represented by the algebraic expression 2x + 1? Check all that apply

Find the value of x.
(will give brainliest to correct answer)
30°
15x

A. 4

B. 2

C. 12

D. 10

Suppose a certain city has 50 licensed restaurants, of which 15 currently have at least one serious health code violation and the other 35 have no serious violations. There are five inspectors, each of whom will inspect one restaurant during the coming week. The name of each restaurant is written on a different slip of paper, and after the slips ate thoroughly mixed, each inspector in turn draws one of the slips without replacement. Label the jth trial as a success if the ith restaurant selected has no serious violations. A certain state has 500,000 licensed drivers, of whom 400,000 are insured. A sample of 10 drivers chosen without replacement. The ith trial is labeled if the ith driver chosen is insured. Although this situation would seem identical to the example above, the important difference is that the size of the population being sampled is very large relative to the sample size. In this case
P(S on 2 S on 1) = 399, 999/499, 999 = _________
(rounded to five decimal places.)
and
P(S on 10 S on first 9) = 399, 991/499, 991 = ___________
(rounded to six decimal places) = 0.80000
These calculations suggest that although the trials are not exactly independent, the conditional probabilities differ so slightly from one another that for practical purposes the trials can be regarded as with constant P(s) =_______ (rounded to one decimal place). Thus, to a very good approximation, the experiment is with n = 10 and p = 0.8.

Someone help solve ill gift you nitro :)

anybody know the answer to this

Pick the correct compound inequality that represent "All real numbers that
are greater than -6 but less than 6"*
-6 X 36
6 sxs-6
-6 0 -6

Solve:
-11 2/3 x (-4 1/5)

Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Association of Individual Investors (AAII). A list of the 30 companies in the Shadow Stock portfolio as of March is contained in the Excel Online file below. Use the spreadsheet to answer the following questions.

Jack would like to select a simple random sample of 5 of these companies for an interview concerning management practices.

a. The Shadow Stock companies are listed in column A of the Excel worksheet provided above. In column B we have generated a random number for each of the companies. Use these random numbers to select a simple random sample of 5 of these companies for Jack by finding the smallest random number, the second smallest random number, etc. in column B using an Excel function.

The random numbers corresponding to the first 5 companies selected are (to 5 decimal places):

First company (smallest random number) ____

Second company (2nd smallest random number) ____

Third company (3rd smallest random number) _____

Fourth company (4th smallest random number) _____

Fifth company (5th smallest random number)______

0.15106
0.78664
0.46736
0.31288
0.05743
0.96845
0.70824
0.43701
0.68709
0.49262
0.69531
0.04123
0.51061
0.23796
0.92181
0.91875
0.97469
0.78824
0.30299
0.61512
0.83291
0.05894
0.76809
0.85076
0.61597
0.42998
0.92434
0.36411
0.72285
0.29854

Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.

Please help quick! I will give brainliest

HELP ILL GIVE BRAINLESS DUE SOON

The width of a rectangle a is 12 cm less than the length. The perimeter is 156 cm. Which
equation represents how to find the length and the width?

Simplify each expression. Justify each step
4 x 9 x 50 =

Plz fast

Is (3,5) a solution to the system - x +y = 1 and 2x + 4y = 2?

(-7) + b = -12
what is b?

. You got 46 out of 65 questions right on your exam. What's your grade?

Can anyone help me with this plsss

Are these congruent (PLEASE HELPPP)

4 1/2 x 4 1/2? write in a decimal

A poker deck consists of fifty-two cards, representing thirteen denominations (2 through ace) and four suits (diamonds, hearts, clubs, and spades). A five-card hand is called a flush if all five cards are in the same suit but not all five denominations are consecutive. Pictured below is a flush in hearts. Let N be the set of five cards in hearts that are not flushes. How many outcomes are in N

7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?

three positive numbers form an arithmetic progression with d=8 If 7 is subtracted from the first number, 3 is subtracted from the second number, and the third numbers is first decreased by 1 and then the result is multiplied by 3, the resulting numbers form a geometric progression find the original three numbers

you walk 1/5 miles to a music store. Then you walk another 2/3 miles to shoe store. How many miles have you walked

Let u= -9, 4 , v= 8, -5 . find u-v.

a- -1, -1

b- -13, 13

c- -17, 9

d- -4, -4

9. A dust mite is about 250 microns long. One micron equals 0.001 millimeter. How long is a
dust mite in millimeters?

Given the Isosceles Trapezoid, find the measure of the missing? angle.

Which fraction has the same value as 0.3

How were some European Jews able to come to Georgia in the 1930s? Check all that apply.

The US government loosened its restrictions on Jewish immigration.

Officials in the Georgia state government sponsored most immigrants.

Jewish immigrants tried to help family members back in Europe escape.

Private organizations helped Jewish children and teenagers find homes.

American citizens legally agreed to be responsible for Jewish immigrants.

Jewish American activists worked to bring immigrants to the United States.