1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ilia_Sergeevich [38]
3 years ago
8

A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he

maximum reveremany should be manufactured to obtain this moximum units
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

The maximum units is 200 and , Total revenue is $8,000

<u>Step-by-step explanation:</u>

Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:

We have following function as R(x)=80x-0.2x^ 2 . Let's differentiate this and equate it to zero to find value of x for which the function is maximum!

⇒ R(x)=80x-0.2x^ 2

⇒ \frac{d(R(x))}{dx}=\frac{d(80x-0.2x^ 2)}{dx}

⇒ \frac{d(R(x))}{dx}=\frac{d(80x)}{dx}-\frac{d(0.2x^ 2)}{dx}}

⇒ 0=80-2x(0.2)

⇒ \frac{80}{0.4}=x

⇒ x=200

Now , Value of function at x=200 is :

⇒ R(200)=80(200)-0.2(200)^ 2

⇒ R(200)=16000-8000

⇒ R(200)=8000

Therefore , The maximum units is 200 and , Total revenue is $8,000

You might be interested in
Find all solutions to the equation. <br> cos^2 x +2cosx+1=0
Schach [20]

x= \pi

Step-by-step explanation:

\cos^2x+\cos x+1=0

Let u= \cos x

Then u^2+2u+1=(u+1)^2=0

or

\cos x = -1

This gives us x= \pi or all integer multiples of \pi (n \pi)

4 0
3 years ago
Consider ΔDEF with centroid at point G and median EH. What is GH, if EG=3x+4 and GH=x+10?​
sesenic [268]

Answer:

gh = x+9

Step-by-step explanation:

8 0
2 years ago
Find the diameter of a circle that has an area of 254.34mm2
zvonat [6]
To find the diameter, divide the area(254.34) by pi(3.1415) and then square the quotient

\frac{254.34}{3.1415} =  80.95
\sqrt{80.95} = 8.99
That is the radius now just times that by 2 so 2 x 8.99 = 17.98

Now I have a felling the might be wanting 18 because 8.99 is so close to 9 and this is also true for 80.95. They probably want 80.95 = 81, which the square root of that is 9, which is the radius and if you times that by 2 the diameter would equal 18
5 0
3 years ago
for every 4 small popcorns sold at the theater there were 3 large sold. what is the ratio of small sold to large sold?
guapka [62]
4 to 3 would be the answer
4 0
3 years ago
Read 2 more answers
What is the domain of a function?
Nookie1986 [14]

The domain of a function is the complete set of possible values of the independent variable.

Brainliest please!

7 0
3 years ago
Read 2 more answers
Other questions:
  • Jim hikes 2/3 mile every 1/4 hour. How long will it take Jim to hike 24 miles? Explain.
    12·2 answers
  • Read and write the number in two other forms. five hundred sixty-one thousand, thirty-eight
    10·1 answer
  • Item 15
    5·1 answer
  • Y=x-3 asp need it willl make brainless
    6·1 answer
  • Bill wants to rent a car. Rental Company A charges $35 per day plus $0.10 per mile driven. Rental Company B charges $25 per day
    8·1 answer
  • What is the value of x?<br> O 20<br> 0 35<br> O 60<br> O 70
    11·1 answer
  • Evaluate -x+4x when x=-2
    5·2 answers
  • Christopher has 100 flavored donuts to sell. Each flavored donut is covered with one topping. How many flavored donuts are cover
    15·1 answer
  • Factor2(to the power of 2)+5x−3
    12·2 answers
  • A submarine was situated 600 feet below sea level. An airplane directly above is at a height of 8,500 feet.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!