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, they will sell 200 less dogs. How many hot dogs should they sell to maximize profit?

Answers

Answer 1

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


Related Questions

please helppppppppppppoppopppp

Answers

Answer: I think it might be 2.

Determine if the triangles are congruent. If so, write a congruence statement. Explain
your reasoning in a short paragraph proof.

Answers

Answer: Yes, there are congruent.

Step-by-step explanation: A triangle is congruent if the same shape and size. In this figure, they're congruent.

I hope this helps you!

Help me!!!! with this please

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Answer:

x= 58+46-180

z=x

y=z+13-180

find the domain and range of x square - 6 X + 6​

Answers

Answer:

Domain:(−∞,∞),{x|x∈R}  

Range:(−∞,∞),{y|y∈R}

Step-by-step explanation:

Write the sentence as an equation.

225 is 68 divided by t

Answers

Answer:

[tex] \frac{225}{68} = t[/tex]

Which best describes the end behavior of y=-2x^3?

As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) increases.

As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases.

As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) decreases.

As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) increases.

Answers

Answer:i believ the its the last one

Step-by-step explanation:

For end behaviour, note the leading coefficient and the degree. The degree is odd and the leading coefficient negative, hence it would rise to the left and fall to the right.

Answer:

D on ed

Step-by-step explanation:

Consider this right triangle. R 9 55° Q P Enter the length of RQ, to the nearest tenth.​

Answers

Answer:

RQ = 7.4

Step-by-step explanation:

From the right triangle PQR,

m∠Q = 90°

m∠P = 55°

Hypotenuse PR = 9

By applying sine rule in the given triangle,

Sin(55°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

0.819152 = [tex]\frac{\text{RQ}}{\text{PR}}[/tex]

0.819152 = [tex]\frac{RQ}{9}[/tex]

RQ = 9×0.819152

RQ = 7.37

     ≈ 7.4

The scale of a model airplane is shown in the graph

Answers

Answer:5/3

Step-by-step explanation:

Answer: 5/3


Step-by-step explanation: rise/run (rise over run) or y/x

can You guys help me with this asap, please

Answers

Hey there! Let's answer each part of this question in order.

Part a

If Pedro withdrew [tex]\$35[/tex] per week, his change in balance could be represented as [tex]-35x[/tex] since [tex]x[/tex] is the number of weeks. Add this to his initial balance of [tex]\$710[/tex] to get the first answer:

[tex]\huge\boxed{710-35x}[/tex]

Part b

The same concepts can be applied to solve the next part. Maria started off with [tex]\$570[/tex] in her account and withdrew [tex]\$25[/tex] each week. Apply the same process from the first part to get the second answer:

[tex]\huge\boxed{570-25x}[/tex]

Part cWrite an equation

For the last part, we need to find the value of [tex]x[/tex] that makes the expressions we made in the first two parts equal to each other, so start by making them into an equation.

[tex]\huge\boxed{710-35x=570-25x}[/tex]

Solve the equation

Now we need to solve this equation. Start by bringing the constants to the right and the variables to the left.

Keep in mind that when you move a term to the other side of the equation, you need to change its sign, as you are adding or subtracting the same number from both sides of the equation.

[tex]\begin{aligned}710-35x&=570-25x\\-35x&=570-25x-710\\-35x+25x&=570-710\end{aligned}[/tex]

Now, combine the like terms with addition and subtraction.

[tex]\begin{aligned}-35x+25x&=570-710\\-10x&=-140\end{aligned}[/tex]

Finally, divide both sides of the equation by [tex]-10[/tex] to fully isolate the variable and find the final answer.

[tex]\begin{aligned}-10x&=-140\\x&=14\ \text{(weeks)}\end{aligned}[/tex]

[tex]\huge\boxed{14\ \text{weeks}}[/tex]

Check your answer

We can also check our answer by substituting the final answer back into each expression, simplifying, and making sure the answers are equal.

[tex]\begin{array}{l|l}710-35x&570-25x\\710-35*14&570-25*14\\710-490&570-350\\220&220\end{array}[/tex]

Since the expressions are equivalent, we know that Pedro's balance is the same as Maria's balance after [tex]14[/tex] weeks.

PLEASE HELP ME!!!!!​

Answers

Answer:

The number pattern is that the decimal point moves one place to the left each time.

Next three numbers: 7.3456, 0.73456, 0.073456

Step-by-step explanation:

Ashley began a new fitness and wellness program. After 30 days she weighed 124 pounds.
After 60 days she weighed 108 pounds. If the relationship between the number of days and
Ashley's weight is linear, how many pounds per day did Ashley lose?

Answers

Ashley lost approximately 0.53 pounds per day. After 30 days, she lost 16 pounds and 16/30=0.53

A gym is selling monthly memberships for $35 each and reusable water bottles for $9 each. The gym
needs to make $1188 by the end of the month.
Enter a linear equation that describes the problem.
An equation for the amount of money made by the gym is = $1188, where m is the number of
monthly memberships sold, and w is the number of reusable water bottles sold.

Answers

Answer:

x = gym memberships, and y = bottles of water

30x + 7y = 1050.....when x = 28

30(28) + 7y = 1050

840 + 7y = 1050

7y = 1050 - 840

7y = 210

y = 210/7

y = 30....so he would have to sell 30 water bottles

Step-by-step explanation:

Answer:

1188=35m+9w

Step-by-step explanation:

If x is a positive integer,
give possible values of x
for inequality
5 > 2x – 3

Answers

9514 1404 393

Answer:

  {1, 2, 3}

Step-by-step explanation:

Here's the solution to the inequality:

  5 > 2x -3

  8 > 2x . . . . . add 3

  4 > x . . . . . . divide by 2

Positive integers less than 4 are ...

  {1, 2, 3} . . . possible values of x

f(x)=(x-3) ²+5 determine the vertex

Answers

Answer:

The vertex is (3,5)

Step-by-step explanation:

Brainliest please

Can someone help me please my grades close today?

Answers

Step-by-step explanation:

1.m<U=54

3.m<F=72

5.x=7

The Circle Problem Draw a circle.You have only 3 lines. Divide the circle into 7 pieces.

In your own words, explain how to solve this problem. To attain maximum credit please include any websites used for references. Your reflection should include complete sentences and paragraphs.

Answers

Answer:

Draw a x then place a horizontal line to cut the highest quarter piece in half

A circle with 7 pieces is given below.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Here is one way to divide a circle into 7 pieces using only 3 lines:

Draw a horizontal line across the middle of the circle to create two equal halves.

Draw a vertical line that intersects the horizontal line at the center of the circle.

Draw a diagonal line from the top of the circle to the bottom, passing through the center point.

This should create 7 pieces in the circle: two halves, four quarters, and one central piece that is shaped like a kite.

Therefore, the diagram of the image is given below.

To learn more about the circle;

https://brainly.com/question/29142813

#SPJ3

Which unit rate is the lowest price per ounce? (1 point) Choice A: 30 ounces of chocolate chips for $2.49 Choice B: 40 ounces of chocolate chips for $3.32 Question 1 options: 1) Choice A 2) Choice B 3) The unit rates are equal. 4) The unit rates cannot be determined.

Answers

Answer:

choice a and b are equal

Step-by-step explanation:

You divide 30÷2,49

and 40÷3,32 they both equal 12,04

Hi. I need help with these questions.
See image for question.
Answer 15

Answers

Step-by-step explanation:

YOU JUST FOLLOW THE STEP

Answer:

x = 1/5

Step-by-step explanation:

GivenParabola y = 5x² -2x + 3To findThe equation of the line of symmetrySolution

The line of symmetry passes through the vertex of the parabola

The vertex is determined by the formula:

x = -b/2aWhere b and a are constants from the standard form of ax² + bx + c = 0

Substituting values from the given equation:

x = -(-2)/2(5) = 1/5x = 1/5 is the line of symmetry

Kendra was asked to find the number of students who planned to attend the evening symphony performance. She was told that 40 percent of the 50 students planned to attend. Kendra’s work is shown below.

Answers

Answer:

KENDRA SHOULD DIVIDE IT BY 2

Step-by-step explanation:

Answer:

The correct answer is B.

Step-by-step explanation:

Hope it helps

just did quiz   (┬┬﹏┬┬)

It costs $3.75 for 25 oz. of candy or $6.30 for 90 oz. of candy. Which is
a better buy?*
O 25 oz.
O 90 oz.

Answers

Answer:

90 OZ.

Step-by-step explanation:

You have to divide the ounces by the price to see how much $1 per ounce costs.

25 divided by 3.75 = 6.6 Ounces for $1

90 divided by 6.30 = 14.28 ounces for $1

En un juego se tiene una ficha, donde un lado dice ganar y otro dice perder. Si se ha lanzado 3 veces la ficha y en todos a salido el lado que dice ganar. ¿Cuál es la probabilidad de que en el cuarto lanzamiento también salga el lado que dice ganar?

Answers

Answer:

no existe una probabilidad ya que es un juego de azar pero si queres la cuarta victoria deberias calcular muchas cosas como el angulo para tirar la ficha y calcular la fuerza etc

Step-by-step explanation:

Date


0.5


/


Ration


Question


The boiling point of jet fuel is 329°F.


Rounded to the nearest degree, what is


the temperature in degrees Celsius?


Use the formula C = (F – 32), where


C represents degrees Celsius and F


represents degrees Fahrenheit.

Answers

Answer:

Boiling point of jet fuel = 165 degrees Celsius

Step-by-step explanation:

Given:

Boiling point of jet fuel = 329°F

Find:

Boiling point of jet fuel in degrees Celsius

Computation:

C = [5/9][F – 32]

C = [5/9][329 – 32]

C = 165

Boiling point of jet fuel = 165 degrees Celsius

There are 450 walnuts in 9 bags. If each bag has the same number of walnuts, how many walnuts are in 3 bags?

Answers

Answer:

150

Step-by-step explanation:

Answer:

150 walnuts

Step-by-step explanation:

450= 9 x x= bags

450/3 = 150

9/3= 3

150 walnuts= 3x

A football team has a squad of 24 players,
1/12 of their squad are suspended, some of the squad are injured, and this leaves only 14 players to choose a team from,
What fraction of the squad are injured?

Answers

Answer:

1/3.

Step-by-step explanation

1/12 * 24 = 2 players suspended leaving 22 players.

So the number injured = 22 - 14 = 8.

Fraction injured = 8/24 = 1/3.

Help me asap
Write an equation to represent the tape diagram.
Find the value of p that makes the equation true.

Answers

Answer:

6p =120

Step-by-step explanation:

well the p's are very close together in a sense that we are going to multiply instead of add because they the p's would have space in between

6 * 20 = 120

so p= 20

choose A

and P=20

6p is equal to 6×20

to get P, do 120÷6

Prices for Soup
Price A
Price B
Price C
$3.87 for 3
$2.38 for 2
$8.75 for 7

Which gives the prices in order, from greatest to least unit rate?
Price B, Price C, Price A
Price A, Price C, Price B
Price C, Price A, Price B
Price B, Price A, Price C

Answers

Answer:

A, C, B

Step-by-step explanation:

A $3.87 ÷ 3 = $1.29 each

B $2.38 ÷ 2 =  $1.19 each

C $8.75 ÷ 7 = $1.25 each

greatest to least would be A, C, B

I hope this helps, please mark Brainliest, thank you!

show questions
Your total cost C to skate at Skate Days is a $2 skate rental plus an additional $3.25 for each hour Chat
you skate.
Write a function rule to represent the situation.
19
Is this situation continuous or discrete? Explain your reasoning.
Create a sign that Skate Days can display at the counter that tells people how much it will cost
for each hour they skate (include 1-5 hours on your sign)
Skate City has free skate rental but charges $4 for each hour.
Which skating rink would you choose to go to?
Why did you make that choice? Use mathematical reasoning to support your answer. Lo

Answers

Answer:

The cost is a fixed $2, plus $3.25 for any additional hour.

Then if you rent it for x hours, the cost is:

c(x) = $2 + $3.25*x

Is this situation continuous or discrete?

Yes, it is discrete, because x is "the number of hours"

so if you rent it for 1.30 hours, they will say "ok, this is equivalent to two hours".

This means that while the values of x are continuous, the possible costs are:

{$2, $2 + $3.25, $2 + 2*$3.25, ....}

Which is a discrete set.

Then the sign for 1 to 5 hours will be:

1 hour ---------- $2 + $3.25 = $5.25

2 hours -------- $2 + 2*$3.25 = $8.50

3 hours--------- $2 + 3*$3.25 = $11.75

4 hours--------- $2 + 4*$3.25 =  $15

5 hours -------- $2 + 5*$3.25 = $18.25

In the other park the cost is only $4 for each hour (no fixed cost) then the total cost for x hours is:

c(x) = $4*x

Now, which option is better?

If we look at the costs for different numbers of hours for this other equation, we have:

1 hour ----- $4

2 hours ---- 2*$4 = $8

3 hours ----- 3*$4 = $12

4 hours ------ 4*$4 = $16

Then: if you want to skate 2 hours or less, Skate City is cheaper, if you want to skate more than that, kate Days is cheaper.

This happens because the first one has a smaller slope, meaning that is larger at first, but as x grows the price does not grow as much as in Skate City

whats the slope of the line y-9=15 x-5

Answers

The correct slope is 15:)

Answer:

Slope= 15

Hope this helps! :)

Express 144 1/4 in simplest radical form

Answers

the answer would be 12



how many solutions to that problem

Answers

Answer:

NO solution

this is absolute value meaning whatever is in the signs l    l   will come out to a positive. THis cant posibly equal a negative

Step-by-step explanation:

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