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
densk [106]
2 years ago
11

Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket,

attendance averages 40,000 people per game. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person at a game spends an average of $4.50 on concessions. What price per ticket will maximize revenue
Mathematics
1 answer:
Papessa [141]2 years ago
7 0

Answer:

New price is $12.75

New attendance is 57500

Step-by-step explanation:

For starters, we use the relation.

18 - 3x

Since we don't know the number of times we're expected to deduct $3 from the price.

Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.

Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be

(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0

Expanding the bracket, we have

[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have

900000 + 105000x - 30000x² = 0 or

-30000x² + 105000x + 900000 = 0

Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a

x = -105000 / 2 * -30000

x = -105000 / -60000

x = 1.75

From our earlier equations, the new price then is

18 - 3(1.75) = 18 - 5.25 = $12.75

The new attendance also is

40000 + 10000(1.75) =

40000 + 17500 = 57500

You might be interested in
List the perfect squares between 100 and 500 that are even numbers.
labwork [276]
The perfect squares between 100 and 500 are:

100  (10²)

121  (11²)

144  (12²)

169  (13²)

196  (14²)

225  (15²)

256  (16²)

289  (17²)

324  (18²)

361  (19²)

400  (20²)

441  (21²)

and

484  (22²) .

The squares of odd numbers are odd.
The squares of even numbers are even.
7 0
3 years ago
Plz answer I’ll mark brainliest
Monica [59]

Answer: B

Step-by-step explanation:

Any inscribed quadrilateral (quadrilateral in a circle) has opposite angles that add up to 180 degrees.

So looking at he picture we can see that, (x+16) + (6x-4) = 180.

So your answer is B.

7 0
3 years ago
Read 2 more answers
Katrina is asked to simplify the expression Negative 3 a minus 4 b minus 2 (5 a minus 7 b).
nekit [7.7K]

Answer:

Distributive property

Step-by-step explanation:

Distributive property allows you to multiply a(b+c) as ab + ac.

4 0
2 years ago
Read 2 more answers
What is the solution to this inequality?
Ksivusya [100]
The answer is D. 

X/-5 = 2
x =2 * -5
Therefore, x is less than -10
4 0
3 years ago
Which is correctly ordered shortest to longest: 1 yard; 2 feet; 16 inches; 1 foot; 1/2 yard? *
Leno4ka [110]

Answer:

1 foot, 16 inches, 1/2 yard, 2 feet, 1 yard

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Four hundred grams of grass seed are used for every 100 m2. Find the amount of seed needed, in kilograms, to cover 3000 m2?
    14·1 answer
  • Help plz what is -6 + -12????
    13·1 answer
  • I need help please!! 10 points
    13·2 answers
  • Please please help me
    7·1 answer
  • Venus buys 13 CDs at 18.99 each. How much does she spend on CDs?
    8·1 answer
  • Josh has 12 computer games he received 1\4 of them for his birthday how many computer games did he receive for his birthday
    7·1 answer
  • A survey of 1000 air travelers1 found that 60 % prefer a window seat. The sample size is large enough to use the normal distribu
    5·1 answer
  • 20% of your customers Call back within 72 hours Of their first call. Of those who call back, 10% call back again within 96 hours
    9·2 answers
  • Ra'Shaela is going to the store to buy candy. She has $3.45 in dimes and
    6·1 answer
  • Write the equation of the line with the give information:<br> Through (5,3)<br> m=2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!