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 carnival committee has purchased 985 small prizes. The prizes are to be divided equally among the 29 game booths
Vladimir [108]

Answer:

1 The first digit of the quotient is 3

2. 34 prizes per booth

3.  19 prizes left over

Step-by-step explanation:

We need to divide 985 by 29


29 goes into 98   3 times

29*3 = 87  with 13 left over

135 divided by 29

29*4 =116  135-116 =19

985÷29 = 34  with 19 left over

7 0
3 years ago
Hows your day going?<br> Mines Great :D
natta225 [31]

Answer:

It sucks

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
HHHEEELLLPPP PLEASE
lord [1]
Part 1
Rule of thumb for month rent: Rent ≤ 28% of monthly gross income

Then,
Month gross income = $62,112/12 = $5,176
Affordable rent = 0.28*5176 = $1,449.28
Rounding to nearest dollar;
Affordable rent = $1,449.
The correct answer is C.

Part 2
Monthly rent = $1240
Security deposit = 80% of rent = 0.8*1240 = $992
Amount to be paid = 1240*2 + 992 = $3472

The correct answer is B.
5 0
2 years ago
rectangular garden is 15 1/2 feet long and 26.5 wide. you plan to build a border. the boarder of material cost $2.88 for 1.5 fee
Studentka2010 [4]

Answer:

<em>It's 1209.6</em>

Step-by-step explanation:

4 0
3 years ago
Can anyone help me please It’s due in 2 hours
rodikova [14]

Answer:

It will be at 33.3333 repeating so if you estimate the answer is y = 33

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • 8 times 51 show your work
    15·1 answer
  • maya is 3 years older than ned and 2 years younger than carla. ten yeras ago, carlas age was equal to the sum of the ages of ned
    6·1 answer
  • A square piece of cardboard with each side 30 inches long hasa
    6·1 answer
  • Anyone want brainliest
    12·2 answers
  • 7(x+4)−6(x+3)=x+5 what is x
    11·2 answers
  • HELP !!!!!!!!!!!!!!!!!!!!!!!
    10·2 answers
  • Can anyone please help explain what any of this means and how I could solve this? Many Thanks!
    8·1 answer
  • 1. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for ful
    6·1 answer
  • Break Even Analysis for Small Business 1) Jesse wants to start a business making and selling skateboards. She will charge $75 fo
    6·1 answer
  • The answer to this problem
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!