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
vodomira [7]
3 years ago
5

Total profit P is the difference between total revenue R and total cost C. Given the following​ total-revenue and​ total-cost fu

nctions, 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!
Mathematics
2 answers:
gavmur [86]3 years ago
5 0

Answer:

The profit function is:

P(x)=-x^2+1280x-3300

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

R(x)=1300x-x^2

And the cost function is:

C(x)=3300+20x

Then the total profit function will be:

P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300

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:

\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

\displaystyle x=-\frac{1280}{2(-1)}=640

And the maximum profit will be:

P(640)=-(640)^2+1280(640)-3300=406300

slavikrds [6]3 years ago
5 0

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

You might be interested in
The length of one of the sides of a square was increased by 4 dm, and the other one was decreased by 6 dm. As a result, a rectan
Inga [223]

Answer:

The answer to your question is 10 dm

Step-by-step explanation:

Data

length of a rectangle = x + 4

height of a rectangle = x - 6

Area of the rectangle = 56 dm²

length of the square = x

Process

1.- Find x with the information given for the rectangle

    Area = length x height

Substitution

    56 = (x + 4)(x - 6)

Expand

    56 = x² - 2x - 24

Equal to zero

            x² - 2x - 24 - 56 = 0

Simplify

             x² - 2x - 80 = 0

Factor

            (x - 10)(x + 8) = 0

Equal to zero

             x₁ -10 = 0          x₂ + 8 = 0

             x₁ = 10               x₂ = -8

2.- Conclusion

The length of the square is 10 dm because there are no negative lengths.                  

5 0
3 years ago
Read 2 more answers
Well i know what to do but could u help me decimals aand adding full numners it just makes no sence
Agata [3.3K]
 2.03
x121
--------
      203
    406x
+203xx
---------
  245.63
8 0
3 years ago
Read 2 more answers
Use the following net to find the volume of the solid figure it represents.​
adelina 88 [10]

Answer:113

Step-by-step explanation:

I guessed

7 0
3 years ago
Read 2 more answers
Cheek your level in mathematics
Naily [24]

sorry...

Step-by-step explanation:

I need some points...

8 0
3 years ago
Read 2 more answers
Find the values of x and y
Anna [14]

Answer:

x=26, y=116

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Which pair of expressions below are equivalent? a. −4−8 and 4+8 b. −4−8 and −4+8 c. −4−8 and −4−(−8) d. −4−8 and −4+(−8)
    15·2 answers
  • A jar was full of quarters and $1 coins. 2/5 of the coins in the jar were quarters. The rest were $1 coins. There were 10 more $
    7·1 answer
  • there were 3,905 more hits on the schools website in january than february. february had 9,854 hits, how many hits did the schoo
    15·1 answer
  • Simplify the variable expression by evaluating its numerical part, and enter
    5·1 answer
  • What is the product of 1 2/3 and -3 1/2?
    10·2 answers
  • Two machines can complete 5 tasks every 4 days. Let t represent
    9·1 answer
  • Can l please get help ​
    13·1 answer
  • A water park sells 168 tickets. Each ticket costs $12. What is the total cost of the tickets sold?
    9·2 answers
  • 0/1<br> (-7x2 + 2x – 9) - (2 + 9x2 + 3x)<br> 7<br> 8<br> 9
    14·1 answer
  • Whoever guesses not only the song but the singer will get brainliest if there are any absurd answers they will be deleted.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!