Mathematics College

Find the maximum revenue for the revenue function R(x) = 395x − 0.9x2

Answers

Answer 1

The maximum revenue obtained for the given revenue function is 43340.

What is termed as maxima and maximum value?

Maxima and minima are the highest and lowest values of a function within a given set of ranges.

The maximum value of the function under the entire range is known as the absolute maxima, and the minimum value is recognized as the absolute minima.Range refers to the difference between both the maximum and minimum values of observations in a data set.

Now, as per the given question;

The given revenue function is;  R(x) = 395x − 0.9x²

Differentiate the given function with respect to x.

dR/dx = 395 − 2×0.9x

dR/dx = 395 - 1.8x

Put the given equation equal to zero and find the critical point for which the function will become maximum.

395 - 1.8x = 0

x = 219.44

x ≈≈ 220.

Substitute the obtained value of x in the revenue function to find its maximum value.

R(x) = 395x − 0.9x²

R(220) = 395×220 − 0.9(220)²

R(220) = 86900 - 43560

R(220) = 43340.

Therefore, the maximum revenue calculated for the given revenue function is 43340.

To know more about maxima and maximum value, here

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Related Questions

30 points!!
Solve for x: the quantity x plus fifty all over two equals thirteen times x

x = 2
x = 5
x = 9
x = 13

Answers

Answer:

A: x = 2

Step-by-step explanation: When plugging in 2 for x, the equation is 26 = 13(2). Process: 2 +50 = 52/2 = 26 and 2 x 13 = 26.

Answer:

Its the first one (x = 2)

Step-by-step explanation:

give answers please!

Answers

Answer:

9.) -3

10.) -4

11.) -5

12.) -2

Step-by-step explanation:

1.) You need to plug in a number from the table into x on the equation

2.) Once you plug in the number divide that number by 3

3.) Once you divide it subtract by 3 from the number you got

4.) Then you get the solution and plug it into the table

Yess this is the answer

Fort Worth and Houston are 240 miles apart. The scale of a map of Texas is 1 inch = 50 miles. How far apart are Fort Worth and Houston, in inches, on the map?

Answers

Answer:

4.8

Step-by-step explanation:

just divide

PLSSS CAN SOMEONE HELP MEE, my friend can't figure this out , and the assignment is already overdue , pls someone help :(
this is the first part of it , it also has a B part​

Answers

Answer:

um 1630 divided by 96 and divided by 3equals the answer ? yes yes i think

Step-by-step explanation:

Im a bit stuck id appreactate any help. Just liek an simplified

Answers

Answer:

x < -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

15 < -5x

Step 2: Solve for x

Divide -5 on both sides:                    -3 > xRewrite:                                               x < -3

Here we see that any number x that is smaller than -3 would work as a solution to the inequality.

Answer: The answer is x<-3 Hope this help :)

Step-by-step explanation:

15<-5x

15/-5  -5x/-5

x=-3= X<-3

PLS HELP I’ve been trying to do this but I just can’t do it

Answers

Answer:

the answer is 8:1 so 8/1

Step-by-step explanation:

Answer:

26/3

Step-by-step explanation:

6 cups flour

3/4 cup of sugar

ratio of flour to sugar is

(6 flower : 3/4 sugar) multiply both sides by 4

26 flower : 3 sugar

so the ratio is 26/3

What is 77/20 simplified

Answers

answer:
3.25 or 3 17/20

In item 4 assume Jack works from 2:30pm to 7:00pm. How much would he earn?

Answers

Answer:

4 dollars and 30 cents i think or $4.30

Step-by-step explanation:

7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"

A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive ​

Answers

Answer:

D

Step-by-step explanation:

Answer:

It's B, Dark and gloomy

Have a great rest of your day!

Stay stay and healthy!

Happy holiday seasons!

May I please have brainliest?

HURRY HELP


Which of the following is equal to the fraction below?
ОА 5
5
O B.
O C. 8.
)
O D.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A is equal to the fraction

Please help
Find KL in the image below.

Answers

Answer:

KL = 8

Step-by-step explanation:

Based on the midsegment theorem, the length of midsegment KL = ½ of the length of the third segment FH.

Thus:

KL = ½(FH)

FH = 16

Plug in the value into the equation

KL = ½(16)

KL = 8

Tell whether (12, 43) is a solution of y = 3x + 7.
yes
no

Answers

Answer:

yes

Step-by-step explanation:

*** WHITE Given m|n, find the value of x. (2x-3) (6X+17)​

Answers

Answer:I dont belive i know

Step-by-step explanation:

Step-by-step explanation:

can i know the equation is 2x 6x is the x

Edwin has 50$ in his bank.He starts spending $3 each week on snacks at lunch. how many weeks will edwin run out of money?

Answers

He will run out of money in 16 weeks

If P(x)=x²+x+7 and Q(x)= 3x² -1, find Q( – 10).

Answers

Answer:

Q(- 10) = 299

Step-by-step explanation:

Q(- 10) = 3.(- 10)² - 1

= 3 . 100 - 1

= 300 - 1

= 299

=> Q(- 10) = 299

What is the equation of the line?

Answers

y = 1/2x + 1
Using rise over run, it takes two movements right and one up to reach a whole number. This means that the slope is 1/2. The y intercept is 1 because the line starts at 1 on the y axis.

Which one is it guys?

Answers

Answer:

b:not similar

Step-by-step explanation:

Find the length x.
3
6
3.5

Answers

Answer:

X = 7

Step-by-step explanation:

If you look you can see that the middle line has 6 and 3.

3 is half of 6 right?

So this means that 3.5 is half of whatever x is.

Just multiply 3.5 by 2 to find x.

(3.5)(2) = x

x = 7

Therefore, x is equal to 7.

I hope this helps!!

- Kay :)

noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account over the last 8 months noah has paid a total of 280 for his phone bill what wold noah be charged for his phone bill each month if he soped his auto pay

Answers

Given
Discount - 5
Total in 8 months - 280

280 divided by 8 months
280 divided by 8
= 35

So we know he pays $35 every month now we have to find out if he stops autopay

35 + 5 = 40

Noah would pay $40 every month if he stops autopay as there is just a $5 difference

- If this helped I hope you can mark this as brainlest

What is the solution to this system of equations?
PLS HELP FOR A GRADE
100 POINTS IF CORRECT

Answers

Answer:

C

Step-by-step explanation:

(-2,6) is the cordnate where the two cross

more proof:

3x + 12 = -2x + 2

3x + 2x = -12 + 2

5x = -10

x = -10/5

x = -2

y = 3x + 12

y = 3(-2) + 12

y = -6 + 12

y = 6

solve x+3>5

how can you isolate x on the left side of the inequality ?

what is the new inequality after you perform the above operations

Answers

Answer:

x > 2

Step-by-step explanation:

x+3>5

Solve for x

Subtract 3 from each side

x+3-3 > 5-3

x > 2

Robyn likes to read novels that have fewer than 400 pages. Which inequality represents the number of pages, p, in the novels she likes to read?

Answers

Answer:

p < 400

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Simplify
√
175
fully, giving your answer in the form
a
√
b

Answers

Answer:

5

[tex] 5\sqrt{7} [/tex]

Which line is perpendicular to the line y=-1/3x-2 and passes through the point (1, 4)?

Answers

Answer:

it's answer choice 3

y=3x+1

this is correct on edmentum

Is this relations a function? Justify your answer. ​

Answers

Answer:

A

Step-by-step explanation:

There need to be more matching points, but there aren't, therefore, its A

Answer:

lets gooo

Step-by-step explanation:

11. 4x - 6x + 12 = 18

Answers

Answer:

11. 4x - 6x + 12 = 18

11. 4x - 6x =18-12=6

11. 4x - 6x =6

5.4x=6

x=6/5.4

x=1.111

-2x = 6 so in solving for x divide each side by -2 and you get x = -3

please help me to solve this question ​

Answers

Answer:

2/5

Step-by-step explanation:

Because when you subtract you do you get it.

2/5 hope this helps you

Which of the following correctly shows the distributive property?
A
4(x + 5) = 5(x + 4)

B
4(x + 5) = (4)(x) + 5

C
4(x + 5) = x + (4)(5)

D
4(x + 5) = (4)(x) + (4)(5)

Answers

D
4(x+5) = (4)(x)+(4)(5)

Ms. Thornton is buying treats for her top 10 algebra students in each of her two classes (20 treats total). She’s only willing to spend $30 and finds individualized candy packs for $1.75 each. What is the maximum number of packs that she will be able to buy? Will that be enough for all of her students?

Answers

Answer:

Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75.

No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.

Step-by-step explanation:

Total treats to buy = 20

Total cost to spend = $30

Price of one candy pack = 1.75

We need to find:

a) What is the maximum number of packs that she will be able to buy?

Price of 1 candy pack = $1.75

If she spends $30, divide 30 by 1.75 to get the number of candy packs she can buy

Number of candy packs = [tex]\frac{30}{1.75} = 17.14 \approx 17[/tex]

So, Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75

b)  Will that be enough for all of her students?

No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.

doris got in trouble because____.

A. she had an unexpected event and no savings
B. she had too much debt
C. her boss fired her
D. she did not work hard enough​

Answers

Answer:

A. she had an unexpected event and no savings

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