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
The price of a TV rose from $350 to $371 in one<br> month. By what percent did the TV price rise?
lesantik [10]
6% increase


To calculate the percentage increase:
First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

If your answer is a negative number, then this is a percentage decrease.
4 0
3 years ago
I want to subscribe to Brainly
valina [46]

Answer:

Then Just Subscribe Then

6 0
3 years ago
You open a bank account with $100 and deposit 15 every week. Create an equation to model the total amount of money,y, in dollars
Charra [1.4K]

Answer:

Y = 15x+ 100

x = 10 months

Step-by-step explanation:

Given:

Initial deposit = $100

Weakly deposit = $15

Solution:

We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.

Y = 15x+ 100 ---------(1)

Where:

Y = Total amount

x = Number of months.

Second thing we need to find the month for y = $250

Now, we substitute y = 250 in equation 1.

250 = 15x+ 100

15x=250-100

15x =150

x=\frac{150}{15}

x = 10 months

Therefore, we need to required 10 months for $250.

4 0
3 years ago
A net force of 66 N accelerates a child at 2.0m/s 2 down a smooth playground slide what is the mass of the child?
Georgia [21]
I think it c cause 68
8 0
3 years ago
Read 2 more answers
Which equation is not true?
Natali [406]
The answer is D hope this helps
3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the order of rotational symmetry for a mombus?<br> 0<br> 1
    7·1 answer
  • 26. $4.90 is what percent greater than $4.20?<br> 27. What amount is 621% smaller than $88?
    6·1 answer
  • Points A, B, C, and D are located on a line. A is at (-6,13), D is at (2,14), C is the midpoint of AD and B is the midpoint of A
    14·1 answer
  • Jasper slices a cone and the cross section is a triangle. How could Jasper have made the slice?
    11·1 answer
  • 8s+7&gt;-3(5s-4) <br> Solve the inequality
    7·1 answer
  • Which expressions represent the same value? <br> Please helpp
    12·2 answers
  • HW HELP ASAP PLZZZZZ
    9·1 answer
  • Let f(x) = x-4 and g(x) = (x-4)^3
    5·1 answer
  • Find dy/dx using implicit differentiation<br> cos x + sin y = 1
    14·1 answer
  • Simplify (2^5/3^2)^4
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!