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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y = 1/2x + 1
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Answers

Answer:

X = 7

Step-by-step explanation:

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

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I hope this helps!!

- Kay :)

30 points!!
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Answers

Answer:

A: x = 2

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Step-by-step explanation:

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

B
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Answers

D
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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?

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Answers

Answer:

C

Step-by-step explanation:

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

more proof:

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Answers

Answer:

b:not similar

Step-by-step explanation:

HURRY HELP


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Answer:

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Step-by-step explanation:

Answer:

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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?

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Step-by-step explanation:

Because when you subtract you do you get it.

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Q(- 10) = 299

Step-by-step explanation:

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Answer:

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answer:
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Answers

Answer:

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Step-by-step explanation:

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Answer:

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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

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Step 2: Solve for x

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Answer:

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