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
Vlad [161]
2 years ago
14

The price that a company charged for a basketball hoop is given by the equation 50-5x^2 where x is the number of hoops that are

produced, in millions. It costs the company $30 to make each basketball hoop. The company recently reduced its production to 1 million hoops but maintained its profit of 15 million dollars. Approximately how many basketball hoops did the company previously produce to make the same profit?
Mathematics
2 answers:
jasenka [17]2 years ago
5 0

Answer:

The company produced 2 million  basketball hoops in previous year.

Step-by-step explanation:

Let the number of basketball hoops produced by the company be x.

The equation of price is  

P=50-5x^2

The cost of each basketball hoop is $30, so the cost function is

C=30x

The profit function is the difference between price and cost function.

Profit=P(x)-C(x)

Profit=50-5x^2-30x

The company reduced its production to 1 million hoops and make profit of 15 million.

15=50-5(x-1)^2-30(x-1)

15=50-5(x^2-2x+1)-30x+30

15=50-5x^2+10x-5-30x+30

5x^2+20x-60=0

5(x^2+4x-12)=0

(x^2+6x-2x-12)=0

(x+6)(x-2)=0

Therefore value of x is -6 and 2. The production can not be negative, therefore the company produced 2 million  basketball hoops in previous year.

Debora [2.8K]2 years ago
3 0
Given:
Profit : 15,000,000
Cost: 30 per basketball hoop
production: 1 million hoops
price: 50 - 5x²

Profit = Sales - Cost
15,000,000 = sales - 30(1,000,000)
15,000,000 + 30,000,000 = sales
45,000,000 = sales

45,000,000 / 1,000,000 = 45 sales price.




You might be interested in
A hole needs to be at least 40 feet below ground level. This means it needs to be more than 2 times its current depth.
Alex Ar [27]

The current depth of the hole is at least 20 feet below ground level.

Inequality is an expression that shows the non equal comparison of numbers and variables.

Let d represent the current depth of the hole.

To be at least 40 feet below ground level, he need more than 2 times its current depth.

2d < -40

d < -20

Hence the current depth of the hole is at least 20 feet below ground level.

Find out more on inequalities at: brainly.com/question/11613554

3 0
2 years ago
Read 2 more answers
Moooooore memes aaaaaaaaaaa
Debora [2.8K]

Answer:

the third slide CRACKED me up XDDD

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Steve and Chris are working together to weed a garden plot. Steve weeded of the plot. Chris weeded of the plot.
Radda [10]
I'm pretty sure its A.
7 0
3 years ago
Read 2 more answers
Please help me I don’t understand it’s number 2<br> 2. Select all the pairs that are<br> equivalent.
kenny6666 [7]
Answers 3 and 4! since there is a negative power, that’s the only time the 0’s are added to the front :)
6 0
2 years ago
What is the answer??
igomit [66]
Tbh I don’t really know but if it did I would of help you
3 0
3 years ago
Other questions:
  • A packet contains 1.5kg of oats.
    11·2 answers
  • How do yo Surface Area of each pyramid
    11·1 answer
  • Is x/3 equivalent to 1/3x
    7·1 answer
  • What property is shown in the equation 7x divided by 1 = 7x
    8·1 answer
  • The following examples illustrate the inverse property of multiplication. Study the examples, then choose the statement that bes
    9·2 answers
  • I'd really appreciate it if you'd show your work for the question, it'd be lots of help! I'll give Brainliest! :)
    14·1 answer
  • In the diagram of circle o, what is the measure of ABC
    5·1 answer
  • WILL MARK BRAINLIEST
    12·1 answer
  • What is ten subtracted the difference of quadruple a number and the same number in expression form
    11·1 answer
  • (08.06)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!