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
Anna71 [15]
3 years ago
8

At Fenway park, they sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, the

y will sell 200 less dogs. How many hot dogs should they sell to maximize profit?
Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

4,100

Step-by-step explanation:

Let x be increase in the price % and f(x) be revenue

Revenue = Sales price*Total number hot dog sold

Hot dog sold = $4/dog

Now when increase in $0.25. Then, Revenue f(x) = (4+0.25x) (500 - 200x)

f(x) = 2000 - 800x + 1250x - 50x^2

f(x) = -50x^2 + 450x + 2000

To maximize revenue, we have to find f1(x) and find the value of x for which f1(x) = 0

f1(x) = -100x + 450

0 = 0100x + 450

x = 4.5

Hence, to maximize profit number of hot dog they sell: 5000 - 200(4.5)

= 5000 - 900

= 4100

Thus, the number of hot dog sold = 4,100

You might be interested in
The sum of a number y and -3 is -8 .
Allushta [10]

Answer:

-5 IDS THE AANSERRRRR thanks

Step-by-step explanation:

3 0
3 years ago
Solve the equation using the Quadratic Formula: (Hint: You may select
KIM [24]

Answer:

x = 3,2

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

please mark brainly

3 0
3 years ago
Read 2 more answers
What is the ratio of the number of days in the week that do not begin with the letter "T" to the number of days in the week that
serg [7]

Answer:

5:7

Step-by-step explanation:

The days in the week whose names don't begin with 'T' are Sunday, Monday, Wednesday, Friday, and Saturday. I counted them, and found that there are five (5) of them. Then I counted the number of days in a full week, no matter how they're spelled. I counted seven (7) that time. The ratio of 5 to 7 is. 5:7 or 5/7.

8 0
3 years ago
What is six less than three raised to the third power?
Nataliya [291]

Answer:

21

Step-by-step explanation:

Three raise to third power can be written as 3^3. In this three is the base which is raised to third power.

3^3 = 3*3*3 = 27

Next we need to subtract 6 from Three raise to third power(i.e from 27)

which can be written mathematically as

3^3 - 6 = 3*3*3 - 6 \\=> 27 - 6 = 21

Hence 6 less  than three raised to the third power is 21 as explained above.

4 0
3 years ago
PLEASE HELP QUESTION IN PICTURE.
nika2105 [10]

Answer:

D

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • For the geometric series<br> 4 + 20 + 100 + 500<br> what is the value of n?
    8·1 answer
  • I need to know how to solve 46.2x10-2
    10·1 answer
  • Calculate the volume of this cone to the nearest hundredth. Use 3.14 for pi.
    13·2 answers
  • A store carries four brands of DVD​ players, J,​ G, P and S. From past​ records, the manager found that the relative frequency o
    13·1 answer
  • How many degrees is the exterior angle of a triangle (w) if the non-adjacent angles (z and y) are 46 and 85?
    14·1 answer
  • What is the Unit Rate for each cyclist?
    5·1 answer
  • 10 POINTS!!!
    11·2 answers
  • Lacey picks blueberries and raspberries from her garden. She has 1/5 as many pounds of blueberries as raspberries. If she picks
    9·1 answer
  • Need help please<br> need help please<br> need help please<br> need help please
    13·1 answer
  • Its easy pls help{6x+4y=14}{9x+6y=c}which value of c represents a system with infinitely many solutions?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!