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
Marrrta [24]
3 years ago
10

A university is trying to determine what price to charge for tickets to football games. At a price of ​$ per​ ticket, attendance

averages people per game. Every decrease of ​$ adds people to the average number. Every person at the game spends an average of ​$ on concessions. What price per ticket should be charged in order to maximize​ revenue? How many people will attend at that​ price?
Mathematics
1 answer:
Anika [276]3 years ago
8 0

This question is incomplete, the complete question is;

A university is trying to determine what price to charge for tickets to football games. At a price of ​$24 per​ ticket, attendance averages 40,000 people per game. Every decrease of ​$4 adds 10,000 people to the average number. Every person at the game spends an average of ​$4 on concessions. What price per ticket should be charged in order to maximize​ revenue? How many people will attend at that​ price?

Answer:

a) price per ticket = $18

b) 55,000 will attend at that price

Step-by-step explanation:

Given that;

price of ticket = $24

so cost of ticket = 24 - x

every decrease of $4 adds 10,000 people

for $1 adds 2,500 people

Total people = 40000 + 2500x

Revenue function = people × cost + people × 4

so

R(x) = (40000 + 2500x)(24 - x) + (40000 + 2500x)4

R(x) = 960,000 - 40000x + 60000x - 2500x² + 160,000 + 10000x

R(x) = 1120000 + 30000x - 2500x²

R(x) = -2500x² + 30000x + 1120000

now for maximum revenue; R'(x) is to zero

so

R'(x) = d/dx(  -2500x² + 30000x + 1120000 ) = 0

⇒ -5000x + 30000 + 0 = 0

⇒ -5000x + 30000 = 0

⇒ 5000x = 30000

x = 30000 / 5000

x = 6

R'(X) = -5000 < 0 ⇒ MAXIMUM

∴ Revenue is maximum at x = 6

so cost of ticket ;

price per ticket = (24 - x) = 24 - 6 = $18

so price per ticket = $18

Number of people = 40000 + 2500x

= 40000 + (2500 × 6)

= 40000 + 15,000

= 55,000

Therefore, 55,000 will attend at that price

You might be interested in
2.37 / x = 1<br> What is x?
NeTakaya

Answer: 2.37

Step-by-step explanation:

Multiply each side by x to get  rid of the denominator on the left side.

You get:

2.37 = 1x

1x = x

Therefore, 2.37 = x.

Also, any number divided by itself must be 1.  

3 0
3 years ago
Read 2 more answers
A cube has a surface area of 864 square inches.
slamgirl [31]
The answer is (D) or 1728 In³
6 0
3 years ago
Read 2 more answers
Find the value of X
geniusboy [140]
Here, angle (3x-1) is supplementary with 5x, so their sum would be equal to 180

3x - 1 + 5x = 180
8x = 180 + 1
x = 181/8
x = 22.625

Hope this helps!
8 0
3 years ago
How do you find 65% of 100
galben [10]
You multiply .65 times 100 and you get 65 which is 65% of 100
7 0
3 years ago
Read 2 more answers
What is subjective?? (Science)
natita [175]

Answer:

Hypotheses are always made by one individual or by a limited group of scientists, and are therefore subjective—based on the prior experience and processes of reason employed by those individuals, rather than solely on objective external process. 

According to this view, human attitude is associated with human sciences; but as far as natural science is concerned there is no scope for any subjective elements. Scientific knowledge is purely objective, and it is an objective description of the real structure of the world.

Step-by-step explanation:

Pertaining to or characteristic of an individual; personal; individual: a subjective evaluation.

Phrase collocation :

  1. subjective idealism
  2. subjective test
  3. subjective brightness

Bilingual example Used as an adjective (adj.) :

  1. Whatever is subjective in you, is the truth.
  2. The answer is not easy and, in this case, it is largely subjective .
  3. Marxism is not true and is not science, but so what? The hermeneuticians tell us that nothing is objectively true, and therefore that all views and propositions are subjective.
  4. His arguments were never subjective.
  5. He took a subjective view of the problem.
  6. Grading of oral tests is quite subjective.
4 0
3 years ago
Other questions:
  • What is y=1.5x-8 please help
    15·1 answer
  • The radius of a cylinder is 4 inches and the height is 5
    8·1 answer
  • Which fraction is represented by point A on the number line?
    15·1 answer
  • If f(x) = 4x^2 and g(x) = x+1, find (f.g)(x).
    15·1 answer
  • 5.4.4 Practice Modeling: Two variable systems of inequalities
    5·1 answer
  • Are all integers rational numbers?
    9·2 answers
  • Find the length of y in feet. (Similar angles or sides, I think)
    8·1 answer
  • Which best describes the "corrupt bargain" of 1824?
    9·2 answers
  • Please write the function(x) from the given rules:a. Twice the input value plus three. B. The input value minus five. C. To get
    9·1 answer
  • Does 8-3-1³=100? I hate Iready and i need this for finals
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!