At Fenway park, they can 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 hot dogs. How many hot dogs should they sell to make profit? Please I need this question by 11:30 pm I’ve been looking everywhere but can’t find answers.

Answers

Answer 1

2500 hot dogs must be sold to  make a profit

If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:

SP= 4 * 5000

SP = 4 + 0.25x

Total number hot dog sold = 5000 - 200x

Revenue = Sales price*Total number hot dog sold

When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]

Taking the product, the resulting function will be;

[tex]g(x) = -50x^2 + 1250x + 20000[/tex]

To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:

[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]

Substittute x = 12.5 into the total number hot dog sold function

Recall that n = 5000 - 200x

n = 5000 - 200(12.5)

n = 5000 -  2500

n = 2500

Hence 2500 hot dogs must be sold to  make a profit

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Related Questions

plz help need asap .............

Answers

I don’t know

BUT why did someone answer and say, “Sike sorry I don’t know.”?

A RECTANGLE HAS SIDES OF "20 - x" AND "x - 5", IF THE RECTANGLES AREA IS 36 SQ. INCHES. FIND THE LARGEST SIDE.

Answers

Answer:

12 in.

Step-by-step explanation:

1. area can be calculated as A=s1*s2, where s1 and s2 are the largest and shortest sides.

2. according to the formula before A=(20-x)(x-5). But according to the condition A=36, then (20-x)(x-5)=36;

3. if to solve this quadratic equation, then

-x²+25x-136=0;

[tex]\left[\begin{array}{ccc}x=17\\x=8\end{array}[/tex]

4. if x=3;12, then the sides are 12 and 3 and

5. finally, the largest side s1=12 inches.

Find the perimeter. Simplify your answer.

Answers

(6t-4) + (6t-4) + (6t-4) + (6t-4)
4(6t-4)
24t-16

If you are to
evaluate your life now using polynomial functions , how will you
look at it?

Answers

I am not sure what the question is… but thanks for the points.

You can spend at most $24 at the fair. Game tickets cost $2 each and ride tickets cost $4 each. You want to buy at least 3 game tickets and more than 2 ride tickets. Write and graph a system of linear inequalities to represent this situation. How many of each ticket could you buy?

Answers

Your game tickets are $6 total. Your ride tickets would run you about $12.

$2 x 3 = 6

$4 x 3 = 12

Two sides of a triangle are 6 cm and 8 cm long. What can be the length of its third side.(Write all the possible lengths)
explain.............................................................

Answers

Answer:

Let the. length of 3rd side of a ∆ be x.

x>(8–6) cms. and. x <(8+6) cms.

or. x > 2 cms. and. x < 14 cms

or. 2 cms < x < 14 cm

Step-by-step explanation:

find the answer here

How would you convert 12.5% to a fraction?

Answers

Answer:

12.5% as a fraction is written as 25/2

Step-by-step explanation:

step 1; write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the numbers of zeros vital or require according.

step in this case 12.5 has one number after the decimal number so we place 10 in the denominator and remove the decimal point. this will make it 125/10.

step 2: then , this fraction can be simplified. 125/10=(125÷5)/(10÷5) =25/2

(5a-ab) (2ay-by)
[tex] {2}^2( {2}^{4 - ?}5 {} ){?} [/tex]

Answers

Answer:

a = 0

b = 5

y = 0

Step-by-step explanation:

I scared of exam how do i do

Answers

Answer:

.

Step-by-step explanation:

Explain how 20% can be different amount,

Answers

Answer:

As finding 10% of a number means to divide by 10, it is common to think that to find 20% of a number you should divide by 20 etc. Remember, to find 10% of a number means dividing by 10 because 10 goes into 100 ten times. Therefore, to find 20% of a number, divide by 5 because 20 goes into 100 five times.

Step-by-step explanation:

What is the equation, in standard form, of a parabola that models the values in the table?
PLS HELP!!!

Answers

right answer is b

b. y= -3.5x^2-0.5x+4.5

a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 27. find the value of a.​

Answers

Answer:

a = 16

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

If there is no exact middle then the median is the average of the 2 values either side of the middle

a + 1 , 2a - 1 ,  a + 7 ,  3a + 4

                   ↑ middle

Then

[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )

3a + 6 = 54 ( subtract 6 from both sides )

3a = 48 ( divide both sides by 3 )

a = 16

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

y - 3 = -12(x - 5)

Step-by-step explanation:

This is what point slope form looks like:

y - y1 = m(x - x1)

(5, 3) is our known point, represented as (x1, y1).

Now, just plug in the given slope and point into the equation:

y - 3 = -12(x - 5)

Does someone have the answer to this??? Thank You so much

Answers

Answer:

22

Step-by-step explanation:

Answer:

f(0)=22

Step-by-step explanation:

f(0)=13(2)^0+9

f(0)=13(1)+9

f(0)=13+9

f(0)=22

(any number raised to 0 is 1)

Please help, I would really appreciate it.

Answers

for 2/5(x-4)-10, x=29. For y=mx+b, x= y-b/m

what is 5/11 closest too

Answers

Answer:

__

0.45

__

__ means it's on-going, so 0.45454545


Express as a power of 2
(2/root8)^3

Answers

[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]

1/8+3/4= ______________

Answers

Answer:

7/8

you need a common denominator so multiply 3/4 by 2 to get 6/8 so now to have a common denominator then just add 1/8+6/8

Answer:

The answer is 7/8.

Step-by-step explanation:

First convert the 3/4 into eighths to get a common denominator. This will add everything together easier. Since 3/4 = 6/8, that means 1/8 + 6/8 = 1/8 + 3/4. The answer is 7/8. You can't simplify the answer any further.

for the equation y=ax^2 how does the sign of coefficient affect the graph of the curve

Answers

Answer:

The sign of the coefficient determines the direction of where the graph opens.

Step-by-step explanation:

Given the quadratic equation, y = ax²:

The sign of the coefficient, a, affects the graph of the curve as it determines the direction of where the graph opens.

If the value of a is negative (a < 0), then the graph of the parabola opens downward. If the value of a is positive (a > 1), then the graph of the parabola opens upward.  

 

Please see the attached screenshots of the graphed equations (y = -x², and y = x²), to show the effects of changing the sign of a quadratic equation's coefficient.

PLEASE HELP!!! THE QUESTION IS DOWN BELOW

Answers

Answer:

Second box, fourth box, first box, and third box

Step-by-step explanation:

1st answer box because (13 - 3 / 2 * r) - (1 - r) = 13 - 3 / 2 * r - 1 + 2 / 2 * r thus being the first answer because of the "-" in the front so distribute the "-" with the 1 and - r

2nd answer box because (7r - 3 / 2) - (2 / 3 + 6r) = 7r - (9 / 6) - (4 / 6) - 6r same principle here.

3rd answer box because (6r + 7) + (13 + 7r) = 6r + 7 + 20 + 7r

4rd answer box because (- 8 - r) + (2r - 4) = - 8 - r + 2r - 4

Answer:

1. (6r+7)+(13+7r)=13r+20

2. (13 3/2)-(1-r)= 12-r

3. (-8-r)+(2r-4)= -12+r

4. (7r-3/2)-(2/3*6r)=r-13/6

Step-by-step explanation:

1. Move 7r next to 6r then you get 13r then just add 7+13 and you get 20 answer is 13r+20

2. Subtract 1 from 13 and you get 12 then you do the 3/2r and and the other r to it and you get 1/2r answer should be 12- 1/2r

3. Move then 4 next to the -8 and subtract you should get -12 then you solve -r+2r should get r and the answer is -12+r

4. Subtract 7r from 6r and you get r(1r) then you should subtract 3/2 and 2/3 and you get 13/6 and the answer is r-13/6

Consider the equation below.

-5n + 31 - 14n -

5–59 + 31 = –14n – 5

-

Select the equation that has the same solution.

-1 – 22n

20n – 9–1 – 22n = –20n - 9

0

1 = 0.75n + 3.251 = 0.75n + 3.25

In + 2 = −3+ min + 2 =

3 + 1

3 – 6n + 3n = – 3 + 4 – 4n3 – 6n + 3n = -3 + 4 – 4n

Answers

Answer:

-1 - 22m

Step-by-step explanation:

Fibd the distance and midpoint between each pair of points. C(-2,2) d(5,-3)

Answers

Answer:

D=[tex]\sqrt{10}[/tex] or about 3.2  M=(1.5,-0.5)

Step-by-step explanation:

D=[tex]\sqrt{(x2+x1)^2 +(y2-y1)^2}[/tex]   M=[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

Lets find the distance first:

D=[tex]\sqrt{(5+-2)^2 + (-3+2)^2}[/tex]

D=[tex]\sqrt{(3)^2+(-1)^2}[/tex]

D=[tex]\sqrt{9+1}[/tex]

D=[tex]\sqrt{10}[/tex]

D is about = 3.2

Lets find the midpoint now:

M= [tex](\frac{-2+5}{2} , \frac{2+-3}{2} )[/tex]

M=[tex](\frac{3}{2} ,\frac{-1}{2} )[/tex]

M= (1.5,-0.5)

Solve the angles of this parallelogram

Answers

[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]

Elena and her family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $1,510. This year, the cost is $1,208. What was the percent of decrease in the cost of season tickets?

Answers

Answer:6

Step-by-step explanation:

Can someone help me with 15 and 16 Please!

Answers

With what? You have no attached documents and this is your only asked question on your brainly profile IM SO SORRY

What is the slope of the line ( part 2 )

Answers

Answer:

-1/2

Step-by-step explanation:

What is 4 percent of $128.72 ?

Answers

Answer:

124.72

Step-by-step explanation:

Answer:

Step-by-step explanation:

4% of 128.72 = 0.04 * 128.72

                    = 5.1488

what is 5 minutes to four and how?

Answers

Answer:

4 minutes to 4 is actually 3 56 am or pm

Step-by-step explanation:

it simply means you are left with 1 2 3 4 minutes only till is 4 o'clock

If your restaurant bill was $24.67 and there is a 7% tax, how much total would you have to pay? (round to nearest hundredth)

Answers

Answer:

1.73

Step-by-step explanation:

a = 3, k = 12, z = 6, h = 4

Evaluate the algebraic expression z + 15 = ??

Answers

Answer: 21

Step-by-step explanation:

[tex]z+15=?\\[/tex]

Substitute the value of z into the expression:

[tex](6)+15=21[/tex]

Answer:

21

Step-by-step explanation:

have a good day

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