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
Sergio [31]
3 years ago
10

A manufacturer of tennis rackets finds that the total cost of manufacturing x rackets/day is given by 0.0003x2 + 4x + 500 dollar

s. Each racket can be sold at a price of p dollars, where p = −0.0002x + 9 Find an expression giving the daily profit P for the manufacturer, assuming that all the rackets manufactured can be sold. Hint: The total revenue is given by the total number of rackets sold multiplied by the price of each racket. The profit is given by revenue minus cost. (Simplify your answer completely.)
Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer:

PT =-0.0005^2 +5x - 500

Step-by-step explanation:

We have price (P) = -0.0002x + 9

to calculate Total revenue (TR) we have to multiply Price by Production quantity.

TR=P * X   , we denote production quantity with the letter X.

TR=(-0.0002x + 9)*x  

We apply distributive law and then we have:

TR=-0.0002x^2 + 9x  , this is the Total revenue (TR) of selling X amount of production at a P price.

Now we only have to find the Profit (PT) using the formula:

PT=TR - TC  , TR is total revenue and TC is total cost

The expression of the daily profit (PT) for the manufacturer is:

PT=-0.0002x^2 + 9x - (0.0003x^2 + 4x + 500)

PT= - 0.0002^2 + 9x -0.0003^2 -4x -500

PT =-0.0005^2 +5x - 500

You might be interested in
A tea infuser in the shape of a right rectangular pyramid is 7.9 cm tall and has a base 3 cm long and 1.5 cm wide. To make the b
kaheart [24]

Answer:

  • 28.44 cm³

Step-by-step explanation:

<u>Full volume is:</u>

  • V = lwh
  • V = 3*1.5*7.9 = 35.55 cm³

<u>Volume of tea required:</u>

  • 35.55*80/100 = 28.44 cm³
4 0
3 years ago
...........I need help......
ASHA 777 [7]

The anwer is B, f(x)=9500-750x

Hope this helps, brianliest if you can!

5 0
3 years ago
Find the 89th term of 25,35,45
MAXImum [283]

Answer:

The 89th term would be 895.

Step-by-step explanation:

There is a pattern of adding 10 each time. Notice that the 5 at the end doesn't change and that the first number continues (i.e. 2, 3, 4, 5, 6). All you have to do is add an 89 in front of the 5 and that is your answer, 895.

4 0
3 years ago
Read 2 more answers
Math graph and solution y=3x2+18x-21
Likurg_2 [28]
We have that

<span>y=3x</span>²<span>+18x-21

using a graph tool
see the attached figure

the solutions are
x=-7
x=1</span>

6 0
3 years ago
If you drove 60 miles in two hours, how many miles per hour did you drive?<br><br> 30 miles per hour
soldi70 [24.7K]

Answer:

30 mph

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone solve this with explanation?
    7·1 answer
  • Marty has saved $63. He spent $3 on a video rental. Write a ratio as a fraction in simplest form to represent what portion of hi
    10·2 answers
  • Which type of transformation creates a similar but NOT congruent shape. A. reflection B. translation C. dilation D. rotation
    15·1 answer
  • The bookstore is overstocked with old fantasy novels. It needs to get rid of the novels to make room for newly published fantasy
    5·1 answer
  • the perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 34 meters and it’s length is 2 meter
    12·2 answers
  • You have $15 to spend on school supplies. You need to buy a three-ring binder and some folders. The binder costs $5.99 and each
    10·1 answer
  • Please help me with this homework
    12·2 answers
  • How can 6(5 + 9) be expressed using the distributive property?
    12·1 answer
  • 2. 6x + 29 = 5 (1 point)<br>-4<br>-18<br>204<br>-144​
    14·2 answers
  • (for 50 points) Choose an expression that is equivalent to negative two raised to the fourth power divided by negative two raise
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!