At HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $17 per member and the number of members is 81 when annual membership fee is $24 per member. As the operator of the gym, you found out that number of members (q) and membership fee (p) have a linear relationship.

A) At what membership price, p, is the revenue maximized?
p=$??. Round your answer to 2 decimal places.

B) What is the maximum annual revenue?
R=$??. Round your answer to 2 decimal places.

Note: Round all coefficients of your revenue function to 2 decimal places.

Answers

Answer 1

The price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.

Since at HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $ 17 per member and the number of members is 81 when annual membership fee is $ 24 per member, and the number of members and membership fee have a linear relationship, to determine at what membership price is the maximized revenue, and what is the maximum annual revenue, the following calculations must be performed:

17 x 83 = 1411 24 x 81 = 1944 31 x 79 = 2449 38 x 77 = 2926 66 x 69 = 4554 73 x 67 = 4891 80 x 65 = 5200 94 x 61 = 5734 101 x 59 = 5959 122 x 53 = 6466 129 x 51 = 6579 150 x 45 = 6750 157 x 43 = 6751 164 x 41 = 6724

Therefore, the price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.

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Related Questions

Should i redo a test even if i got a D ( which is passing), or should i Try again?

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Answer:

Redo

Step-by-step explanation:

Answer:

Depends

Step-by-step explanation:

It depends if you can retake it and if you get a lower Grade. Like if you get a F do you keep the D or F

solve the following equasion: 17 + 2.6b = 30

Answers

Answer:

Step-by-step explanation:

=30-20

Answer:

b = 5

Step-by-step explanation:

2.6 b= 30 - 17

2.6 b = 13

b = 13 ÷ 2.6

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The teacher-student ratio at Dunn Middle School is 1 to 23. If there are 966 students, how many
teachers are there?

Answers

Answer:

42 teachers

Explanation:

Teacher to student ratio is 1:23

If there are 966 students, then divide by 23 to get how many teachers their are.

966/23=42

Find the area of the following trapezoid.

Answers

Answer:

Your answer should be 48 [tex]cm^{2}[/tex].

Step-by-step explanation:

Hope this helps!

Answer:

48 cm square

Step-by-step explanation:

12×4=48

explanation attached

Can someone check this for me and tell me if I’m wrong or correct? Thank you

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Step-by-step explanation:

yeah they are all correct

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Yes i believe you are correct. Hope this helped :)

I need a full answer​

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Answer:

D

Step-by-step explanation:

Main value = .4142

A. sqrt(3)-sqrt(2) = .3178

B. sqrt(3)+sqrt(2) = pi

C. sqrt(2)+1 = 2.4142

D. sqrt(2)-1 = .4142 <-

Write three numbers that round to 400,000 when rounded to the nearest 100,000

Answers

Answer: 397,825  390,000   350,000

Step-by-step explanation: Numbers must be above 350,000 because it was rounded up to 400,000.

Can someone please do this for me I am confused

Answers

Answer:

Where's the question???????

It is not 9/18 or 1/2 PLEASE ANWSER CORRECTLY

Answers

Answer:

1/8 because you do 5 divided by 5 and 40 divided by 5 which gives you 8. Meaning, 1/8 is the answer.

Step-by-step explanation:

Answer:

7/8.

Step-by-step explanation:

5 weeks = 5*7 = 35 days.

So the fraction is 35/40

= (35/5) / (40/5)

= 7/8.

A car repair shop charged $80 per hour for labor and $210 for the parts of a car. If the total cost of repair for the car was $490, how many hours did it take to repair the car? (1 point)

Answers

Answer:

80x + 210 = 490

x = 3.50 per hour

Step-by-step explanation:

What is the difference between a linear function and a non linear function?

Answers

Answer:

A difference is that a linear line is straight and a non linear is not

PLEASEEEE HELPPPPPPPPPP

Answers

Answer:

-1/2, +1/4, -1/8, +1/16, -1/32, +1/64

Step-by-step explanation:

multiplying a negative by a negative makes it a positive. Multiplying a positive by a negative makes it a negative. The order will be negative, positive, negative, positive, negative, positive, etc.

Hope this helps!

Answer the answer is the third one

POSTING THIS AGAIN PLEASE I NEED HELP I CAN'T FAIL THIS TEST


1) Which set of equations shows a way to find 729 : 9? 721 : 7 = 103 8: 2 - 4 . 729 : 3 = 243 729 ; 3= 243 So, 729 : 9 = 103 + 4 So, 729 : 9 = 243 + 243 720 : 9 = 80 9 : 9 = 1 72 :9= 8 9:9=1 So, 729 : 9 = 80 +1 So, 729=9= 8+1​

Answers

Answer:

729 : 9 = 80 +1 is correct

The ratio of boys to girls in math class is 3 to 5 if there are 9 boys how many girls are there

Answers

Answer:

15

Step-by-step explanation:

for every three boys there are five girls

3 groups of 3 boys

3*5=15 girls

Answer this for likes and a crown

Answers

Answer:

The unit cost is 25 cents for 1 oz of cereal, because 4/16 = 1/4, convert to cents.

Hope this helps and have a nice day:)

Step-by-step explanation:

Answer:

Your answer should be the 3rd one.

Step-by-step explanation:

Please answer this question

Answers

Step-by-step explanation:

a ) 19 + 7 = 26

26 ÷ 2 = 13

13 - 5 = 8 ans

b) (19+7/2)-5

[tex]( \frac{19 + 7}{2} ) - 5[/tex]

hope this answer helps you dear...

Hi !
A
19 + 7 / 2 - 5
According to PEMDAS, division comes first, so we start by diving 7 by 2, which equals 3.5.
19 + 3.5 - 5 = 17.5

B
19 + 7 / 2 - 5
In order for this to equal 8, the brackets will be placed like this: (19 + 7)/2 - 5
It gives (26)/2 - 5
Then we divide 26 by 2 (according to PEMDAS once again)
We get 13 - 5 = 8

C
19 + 7 / 2 x 6 + 1
In order to get 2 as an answer, we place the brackets this way:
(19 + 7)/(2 x 6 + 1)
(26)/(12 + 1)
26/13 = 2

Hope it helps!!

PLS HELP ASAP!

Masha bought red, green, and yellow balloons for a party. She bought 40 red balloons. The number of green balloons Masha bought is 3/5 of the number of red balloons. The number of green balloons is also 2/3 of the number of yellow balloons. while being inflated, 1/20 of the red balloons, 1/12 of the green balloons, and 1/36 of the yellows balloons popped. The remaining balloons were used as decoration. What part of all the balloons Masha purchased to decorate the party?

Answers

Answer:

95 balloons

Step-by-step explanation:

red = 40

green- 40x(3/5) = 24

yellow- 24÷(2/3) =36

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40×(1/20) =2. 2 red balloons popped

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Answers

Answer:

Village Market

Step-by-step explanation:

for this question we need to find the unit rate (the rate for one of something).

in this case, we need to find the cost of one can at each store so we can

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Sam's Club = $6.5/10 = .65 cents per can

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Answer:

Village Market

Step-by-step explanation:

10 cans at the Village Market is = to $5.40.

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Simplify 4x²+ x− (x²+x−2)

Answers

Answer:

3x²+2

Step-by-step explanation:

4x²+ x - (x²+x - 2)4x²+ x - x²-x+24x²-x²+x-x+23x²+2

Can you help me please

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Answers

Answer:

11.99

Step-by-step explanation:

write vertically and solve step bye step 1.what is 0.24x3.12

Answers

Answer:

0.7488

Step-by-step explanation:

    0.24

×   3.12

_______

     0.48

    0.240

+   0.6200

________

     0.748 8

are the following triangles similar? if so state the reason.

not similar
SAS
SSS
AA​

Answers

The triangles are not similar.

What is similarity in triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

The Given triangle ZXB and DZN are not similar

Because,

XZ/DZ =XB/DN ≠ ZB /BN

XZ/DZ = 1/2

XB/DN = 1/2

ZB /BN = 1/3

Hence, the triangles are not similar.

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luigi has 9 more books than Mario. Luigi has 52 books . how many books does Mario have.

Answers

forty three because 52-9= 43

Answer:

Mario has 43 books.

Step-by-step explanation:

Subtract the 52 books by the 9 books (52 - 9), and you will get 42 as your answer.

A. Levi decorates with a stamp foot long and į foot wide. What is the area of the stamp? 3 4 B. The work space in Lillian's room has a width of meter and an area of į square meter. How long is it? 3 3 C. Lauren jogs around a rectangular course with a length of mile and an area of į square mile. How wide is the course? D. Layton paints on a canvas that has a length of yard and an area of square yard. How wide is the canvas? ? 1​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The statement representing the problem is :

Layton points on a canvas that has a length of 1/3 yard and an area of 3/4 square yard. How wide is the Canvas ?

D is the Correct choice ~

please help thank you

Answers

Step-by-step explanation:

[tex] (2x^2+11x+5)(x-3)[/tex]

How many tons are equal to 54,000 pounds?

Answers

Answer:

I think About 27 short ton

Plz help me do this math problem !

Answers

Step-by-step explanation:

reason 1: given

reason 2: alternate interior angles

reason 3: alternate interior angles

reason 4: common (reflexive property)

reason 5: aas

Which of the following best describes the relationship shown in the equation below?


A.
It cannot be determined if this is or is not a functional relationship.
B.
This is a functional relationship.
C.
This is not a functional relationship.

Answers

Answer:

C. this is not a functional relationship.

Step-by-step explanation:

In other words, for each x-value, there is only one corresponding y-value.

For the equation x2 + y2 = 10, find the y-value for a given x-value.

Let x = 1.

Since (-3) · (-3) = 9 and 3 · 3 = 9, there are two y-values for x = 1.

please show work tyvm 4+3x6x(4-3³)²

Answers

Answer:

9526

Step-by-step explanation:

simplify 3^3+27

4+3*6(4-27)^2

simplify: 4-27+ -23

4+3*6(-23)^2

since the power of 2 is even it will be a positive

4+3*6*23^2

simplify: 23^2 to 529

4+3*6*529

simplify 3*6 to 18

4+18*529

then simplify 18*529 to 4+9522

and 4+9522= 9526

What is the distance between the points (−3, −5) and (−3, −7) ?




2 units

4 units

12 units

10 units

Answers

Step-by-step explanation:

d = √(x2-x1)²+(y2-y1)²

d = √(-3-(-3))²+(-7-(-5))²

d = √ 0+(-2)²

d = √4

d = 2 units

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