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
ludmilkaskok [199]
3 years ago
5

The weekly sales of Honolulu Red Oranges is given by q = 990 − 22p. Calculate the price elasticity of demand when the price is $

30 per orange (yes, $30 per orange†).(???)Interpret your answer.The demand is going (up of down) by (???) % per 1% increase in price at that price level.Also, calculate the price that gives a maximum weekly revenue.$ (???)Find this maximum revenue.$ (???)
Mathematics
1 answer:
elena55 [62]3 years ago
7 0

Answer:

E = -2. The demand is going down by 2% per 1% increase in price at that price level.

The price that gives a maximum revenue is $22.5. The maximum revenue is $9112.5

Step-by-step explanation:

The overall demand formula: Q = aP + b

Q = 990 - 22P

<u>Demand elasticity:</u>

At P = $30, the Q = 990 - 22×30 = 330. a = \frac{dQ}{dP} = -22

The formula for demand elasticity: E = \frac{dQ}{dP}×\frac{P}{Q}

Demand elasticity at $30: E = -22 × \frac{30}{330} = -2

So, The demand will be going down by 2% if 1% increase in price.

<u>Revenue:</u>

R = P×Q = P×(990 - 22P) = -22P² - 990P

R' = -44P - 990. The revenue is maximum when R' = 0

⇔0 = -44P - 990 ⇔ P = $22.5

At the P = $22.5, the Q = 990 - 22×22.5 = 495.

The maximum revenue = $22.5×495 = $11,137.5

You might be interested in
Santa's Wonderland is an extravagant holiday light display that is open from early November through January each year. The entry
Fofino [41]
Ok,
 f(0.35)= 7f/20

f(-5.2)=-26f/5

f(10)= 10f

f(-0.5)= -f/2

as for the last question I am not quite sure, sorry....hope I helped a little :)

5 0
3 years ago
The function f(x) is a quadratic function and a limited table of values is provided below. Write the equation of the quadratic p
OverLord2011 [107]

Answer:

  f(x) = 3x^2 -21x +36

Step-by-step explanation:

The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...

  f(x) = 3(x -3)(x -4)

Multiplying this out, we get ...

  f(x) = 3(x^2 -7x +12)

  f(x) = 3x^2 -21x +36

4 0
3 years ago
In a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third
insens350 [35]

Answer:

104°

Step-by-step explanation:

let the second angle be x , then

the first angle is x + 24

the third angle is 4x , thus summing and equating to 180

x + x + 24 + 4x = 180, that is

6x + 24 = 180 ( subtract 24 from both sides )

6x = 156 ( divide both sides by 6 )

x = 26

Thus largest angle = 4x = 4 × 26 = 104°

6 0
2 years ago
The baseball team has won 50 games of 75 players. The team has 45 remaining games to play.How many of remaining games must a tea
Paul [167]

the baseball team must win 22 more games to win 60% of total games played in the season.

/////////////////////////////////////////////////////////////////////////////////////

we know that the team played 75 games and will play 45 more games.

1st step: 75 + 45 = 120

2nd step: find 60% of 120 which is 72

3rd step: 72 - 50 = 22

5 0
3 years ago
The total charge on 6 particles is -48units. All the particles have the same charge. What is the charge on each particle?
Marina CMI [18]

i believe the answer will be -7

4 0
3 years ago
Other questions:
  • 31x-4+120 =180 <br> How would I solve ?<br> Any tips ?
    12·1 answer
  • How to the solve the equation by completing the square?
    9·1 answer
  • The cost of renting a community center is $100, with an additional cost of $10 per guest.
    5·2 answers
  • What is the value of x? Assume that the line is tangent to the circle.
    6·2 answers
  • The diameter of the circle is 12m find the circumference and leave at pi
    6·1 answer
  • Can you see attachment below
    15·2 answers
  • Arithmetic Geometric or Neither...
    10·1 answer
  • purchased a DVD player on sale. The original selling price was ​$154.30. The sale price was ​$128.02. What is the first step in
    8·1 answer
  • Tina rode her bike a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)
    7·1 answer
  • I need help with this !! chart
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!