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
Marizza181 [45]
3 years ago
14

The demand function for our product is: Q=90-0.1P^2

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0
Assuming that "elasticity" = P:

A. Q=90-0.1P^2\\50=90-0.1P^2\\-40=-0.1P^2\\400=P^2\\20=P\\\\\frac{dQ}{dP}=-0.2P\\E=\frac{P}{Q}*\frac{dQ}{dP}\\E=\frac{(20)}{(90)}(-0.2P)\\E=\frac{-2(20)}{45}\\E=\frac{-8}{9} - Elasticity = -0.889

B. 0>\frac{-8}{9}>-1>-\infty - The demand is inelastic because the elasticity > -1.

(C). Set P and Q to 1 in two separate functions. If Q < P revenue will increase. If Q > P revenue will decrease.

Q=90-0.1P^2\\Q=90-0.1(1)^2\\Q=90-0.1\\Q=89.9\\\\(1)=90-0.1P^2\\-89=-0.1P^2\\890=P^2\\\sqrt{890}=P\\P=29.833\\Q>P\\(89.9)>(29.833)

Q > P therefore revenue will decrease.

(D). Q=90-0.1P^2\\\frac{dQ}{dP}=-0.2P\\-0.2P=0\\P=0

One obviously won't be able to maximize revenue if their price per unit, <em>P</em>, equals 0. Quantity of a product can only be sold in whole, so the closest integer to 90 is 89. The value of P that maximizes revenue is Q=90-0.1P^2\\(89)=90-0.1P^2\\-1=-0.1P^2\\10=P^2\\\sqrt{10}=P - sqrt(10).

Therefore, the values of P and Q that maximize revenue are 3.162 and 89, respectively.
You might be interested in
Help me with this problem that I'm stuck on!
jok3333 [9.3K]
                              4/(x+1) = 3/x + 1/15
Should we make common denominators with everything, we get
           4*15*x / [15x(x+1)] = 3*15*(x+1)/[15x(x+1)] + x(x+1)/[15x(x+1)]
Multiply both sides of the equation by the denominator to cancel them
                                         60x = 45(x+1) + x(x+1)
                                         60x = 45x + 45 + x^2 + x
                       x^2 - 14x + 45 = 0
                               (x-9)(x-5)  = 0
The answer to this question is that the solutions are x=9 and x=5.
6 0
3 years ago
How do I do 3 x 10^5
Ilya [14]

Answer: 3(10^5)

=3*10^5

=3*(10*10*10*10*10)

=300000

This is how you should do It, just when it is squared you should times the number like up here you times 10 times 10 5 times so if you see it you don't times it by 5 you do 10 times 10 times 10 times 10 times 10 like this

You should get it now

Have a good day

Yours,

Nathaniel

Step-by-step explanation:

4 0
2 years ago
How is a property tax similar to and different from an income tax?
Ainat [17]

Answer:Property tax is an ad valorem tax assessed on real estate by a local government and paid by the property owner. Income tax is tax levied by a government directly on income, especially an annual tax on personal income. Both pay the government but one is for their land and the other is for money they make.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
An automotive manufacturer has developed a new type of tire that the research team believes to increase fuel efficiency. the man
bezimeni [28]

Answer:

3) One-sided,compare two populations

Step-by-step explanation:

A manufacturer wants to investigate the whether there is an increase in the mean gas mileage of mid-sized sedan having new type of tire compared to mean gas mileage of mid-sized sedan not having new type of tire.

So, there are two populations :

population 1 : mid-sized sedan having new type of tire.

population 2 : mid-sized sedan not having new type of tire.

So, two populations are being compared.

Also, A manufacturer is investigating whether there is an increase in mean gas mileage.The alternative hypothesis will be right tailed and so, this corresponds to one sided test.

6 0
3 years ago
A preliminary study of hourly wages paid to unskilled employees in three metropolitan areas was conducted. Included in the sampl
andriy [413]

There is a system glitch during the process of adding my answer here so i create a document file for the answer, you find it in the attachment below.

Download docx
5 0
3 years ago
Other questions:
  • (very urgent) will gave 20 pts
    11·1 answer
  • Which value of c would make the following express completely factored? 8x+cy
    12·2 answers
  • Factor the expression completely:<br> x³y - 4xy
    11·2 answers
  • Find -24 5/8 + 11 1/4
    7·1 answer
  • I will brainlist you Little help? Please?
    13·1 answer
  • A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top
    13·1 answer
  • A manufacturing company plans to coat the entire exterior of a cylindrical shipping container with a 0.075-mm layer of special r
    11·1 answer
  • What is the quantity (7+7+7)/(-7-7-7) equal to?<br><br><br><br>please help ​
    13·1 answer
  • If the gross domestic product is currently 12,443.9 billion dollars and grows by 5 percent, how much will it be next year?
    9·1 answer
  • Find the area. HELP PLEASE!!!!!!​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!