A bi-monthly sports magazine has 48,000 subscribers when it charges $20 for a one year subscription. For every $1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below. Using the equation below, how much should the magazine sell for in order to maximize revenues? f (x) = (48,000 – 2,000x) (20 + x)​

A Bi-monthly Sports Magazine Has 48,000 Subscribers When It Charges $20 For A One Year Subscription.

Answers

Answer 1

Answer:

To maximize the profits of the company, the subscription price should be raised to $ 22.

Step-by-step explanation:

Given that a bi-monthly sports magazine has 48,000 subscribers when it charges $ 20 for a one year subscription, and for every $ 1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below, to determine, Using the equation below, how much should the magazine sell for in order to maximize revenues, the following calculations should be performed:

f (x) = (48,000 - 2,000x) (20 + x)

X = 48,000 x 20 = 960,000

X = (48,000 - 2,000x1) x (20 + 1)

X = 46,000 x 21

X = 966,000

X = (48,000 - 2,000x2) x (20 + 2)

X = 44,000 x 22

X = 968,000

X = (48,000 - 2,000x4) x (20 + 4)

X = 40,000 x 24

X = 960,000

Therefore, to maximize the profits of the company, the subscription price should be raised to $ 22.


Related Questions

Is the following relation a function? (yes/no) (1,3) (2,2) (3,1) (2,0) (1,-1) and explain why or why not

Answers

Answer:no

Step-by-step explanation:

the (x) fators out more than once

write an Equation for the angle relationship shown in the figure and solve for x. Find the measures of RQS and TQU?

Answers

Answer:

∠RQS = 21°

∠TQU = 28°

Step-by-step explanation:

90° + 221° + 3x + 4x = 360°

combine like terms:

7x + 311° = 360°

subtract 311° from each side of the equation:

7x = 49°

divide both sides by 7:

x = 7°

∠RQS = 3x = 3(7°) = 21°

∠TQU = 4x = 4(7°) = 28°

Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at (6, –1).
What is u + v in component form?
⟨-10, -4⟩
⟨-5, -1⟩
⟨3, 9⟩
⟨5, 3⟩

Answers

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

[tex]u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)[/tex]

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

[tex]v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)[/tex]

What is u + v in component form?

[tex]u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)[/tex]

⟨-5, -1⟩ is the answer.

I NEED HELP ASAPPPPP ​

Answers

Answer:

y=55 degrees x=125 degrees

Step-by-step explanation:

Find Y.
Round to the nearest tenth.

Answers

Answer:

Y ≈ 59.0°

Step-by-step explanation:

Using the Cosine rule

cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]

with x = 22, y = 20, z = 18

cosY = [tex]\frac{22^2+18^2-20^2}{2(22)(18)}[/tex]

        = [tex]\frac{484+324-400}{792}[/tex]

        = [tex]\frac{408}{792}[/tex] , then

Y = [tex]cos^{-1}[/tex] ( [tex]\frac{408}{792}[/tex] ) ≈ 59.0° ( to the nearest tenth )

I dont understand.i need help​

Answers

Answer:

A= 160 in. squared

Step-by-step explanation:

Find the area of the shape below

Answers

Answer:

I have questions in physics if you know it answer it

TANIA WANTS TO BUY STICKERS OVER THE INTERNET. EACH STICKER COSTS $2 AND SHIPPING THE ENTIRE ORDER COSTS $6. IF SHE CAN SPEND NO MORE THAN $30, HOW MANY STICKERS CAN SHE BUY? WRITE AND SOLVE AN INEQUALITY SHOWING THIS SITUATION. CHECK THE IN THE Soultion in the inequality. ​

Answers

She can buy 12 stickers

Enter the value of (0.45) divided by 9/10

Answers

The value is .5 or 1/2

Helpppppppp plsss ASAP math look at picture for details

Answers

i believe the answer is 8384 and to the power or 4in

An apartment complex stretched a string of decorative floats diagonally across a
rectangular pool. The width of the pool is 15 ft and the length of the pool is 20 ft.
What is the length of the a diagonal that the floats are stretched across ?

Answers

Answer:

25 feet

Step-by-step explanation:

Use the pythagorean theorem, where the width and length of the pool are the legs of the triangle.

Solve for c, the hypotenuse/diagonal

a² + b² = c²

15² + 20² = c²

225 + 400 = c²

625 = c²

25 = c

So, the length of the diagonal is 25 feet

Write each sentence as an equation.
1 .Two less than a number n is fifty two.
2. Three less than a number is twelve.
3. The sum of five and a number is ten less than fifty.
4. Three more than a number is sixty.
5. The sum of x and 6 is two less than ten,
6. A number minus 9 is twelve.
7. The sum of a number and five is thirteen.
8. The sum of x and ten is twenty.
9. A number five times is twenty five.
10. Twice a number is two more than five,

Answers

Answer:

n - 2 = 52x - 3 = 125 + x = 50 - 103 + x = 60x + 6 = 10 - 2x - 9 = 12x + 5 = 13x + 10 = 205x = 252x = 5 + 2

please rate and heart :)

have a great day!!

The answer is given,

1.n - 2 = 52

2.x - 3 = 12

3.5 + x = 50 - 10

4.3 + x = 60

5.x + 6 = 10 - 2

6.x - 9 = 12

7.x + 5 = 13

8.x + 10 = 20

9.5x = 25

10.2x = 5 + 2

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here, we have,

as the description given,

we get,

1.n - 2 = 52

2.x - 3 = 12

3.5 + x = 50 - 10

4.3 + x = 60

5.x + 6 = 10 - 2

6.x - 9 = 12

7.x + 5 = 13

8.x + 10 = 20

9.5x = 25

10.2x = 5 + 2

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

in a class of 38 students, 16 passed chemistry, ​

Answers

Answer:

what are you asking exaclty ???

Step-by-step explanation:

If f(x) = x - 4 and g(x) = 3x + 5, find (f + g)(x).

Answers

Answer:

(f + g)(x) = 4x + 1

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) = x - 4 + 3x + 5 = 4x + 1

guys help me lol plssss

Answers

Answer:

ITS RED

Step-by-step explanation:

Answer:

the red one/ fgh=vwh

Step-by-step explanation:

What is the resistance of a coil which draws a current of 200na​

Answers

Answer:

600000Ω

Step-by-step explanation:

1μA = 10⁻⁶ A

200μA = 0.0002 A

Potential difference = V = 120 V

Current = I = 0.0002 A

Resistance = R

R = V / I

  = 120 / 0.0002

  = 600000Ω

Erik saves $279 in one week, $558 in two weeks, and $837 in three weeks. How much will Erik
have saved after 6 weeks?

Answers

1,674 dollars after saved 6 weeks, your welcome

A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth side is a wall that already exists. If the farmer has 148 feet of fencing, what is the largest area the farmer can enclose?

Answers

Answer:

Step-by-step explanation:

There are several things we need to know to solve this: the perimeter formula of a rectangle, the area formula of a rectangle, and how to complete the square to find the answer. First of all, if the farmer has 148 feet of fencing to enclose 3 sides of a rectangle, the perimeter formula we need will include only 3 sides, the 2 widths and the 1 length:

P = 2w + l; solving for l and filling in our length of fencing gives us:

l = 148 - 2w

The area then for this will be:

A = (148 - 2w)(w) which is the same thing as length times width (area for a rectangle). Multiplying that out gives us:

[tex]A=148w-2w^2[/tex]. Let's rearrange that and put it into descending order so we can complete the square on it:

[tex]A=-2w^2+148w[/tex]

The reason we want to complete the square is because the answer that results from that will give us the dimensions of the rectangle (the width and the length) and also the area. Completing the square maximizes (or minimizes) area.

To complete the square, first factor out the -2 since the leading coefficient when you complete the square has to be a +1. When we do that we get:

[tex]A=-2(w^2-74w)[/tex]. Set it equal to 0 so we can factor it:

[tex]-2(w^2-74w)=0[/tex]

The idea now is to take half the linear term (the term stuck to the w), divide it in half, then square that number. Our linear term is 74. Half of 74 is 37, and 37 squared is 1369. So we add 1369 to both sides, the left side first:

[tex]-2(w^2-74w+1369)=...[/tex]

But we didn't just add in 1369. There's a -2 out front there that refuses to be ignored. It's a multiplier. What we ACTUALLY added in was -2 times 1369 which is -2738; therefore:

[tex]-2(w^w-74w+1369)=-2738[/tex]

The left side can be simplified down to a perfect square binomial:

[tex]-2(w-37)^2=-2738[/tex]

Now we'll add over the -2738:

[tex]-2(w-37)^2+2738=y[/tex] and from there determine our answer. The (w-37) term is the width of the rectangle; therefore, the length is 148 - 2(37) which is 74; the total area if the 2738. Completing the square gives us the vertex form of the parabola; the vertex is (37, 2738) where 37 is the width of the rectangle and 2738 is the max area.

Help please!!!! I’ll appreciate it so much!

Answers

Question 1) x + 6 = 20
x + 6 - 6 = 20 - 6
x = 14

Question 2) x - 2 = 5
x - 2 + 2 = 5 + 2
x = 7

Question 3) 15 + m = 9
15 - 15 + m = 9 - 15
m = -6

plsss help and please dont be scammer

Answers

Answer:

38 students

Step-by-step explanation:

because 19% of 205 is 38.95, but not fully 39 students, so about 38 students

Ryan has 4 rap songs, 8 country songs, and 2 rock songs.  what is the probability of Ryan picking a rock song or a Pop song

Answers

Answer:

Step-by-step explanation:

Total songs = 8 + 4 + 2 = 14 songs

number of rock songs = 2

Number of rap songs = 4

Probability of rock songs = 2/14 = 1/7

Probability of rap songs = 4/14 = 2/7

In a 30-60-90 triangle, if the the side opposite 30 degrees has a length
of 5, what is the length of the hypotenuse?

Answers

Might Want to draw this and Its very long but Hope it helped :)

Answer:

The sides are all of the same length - let's say a. The angles are all the same too, and since the angles must add up to 180∘, we conclude that the three angles in the equilateral triangle are equal to 180∘/3=60∘.

Now we do something sneaky. We draw a line all the way down from the top vertex of the triangle to the midpoint of the bottom line.

This new line cuts our equilateral triangle in half. What are the angles in one half?

The angle at the bottom is 90∘.

One of the angles is the same as one of the angles in the original equilateral triangle, so it is 60∘.

So the third angle must be 180∘−90∘−60∘=30∘.

Now the hypotenuse of this new triangle is a, the side length of the equilateral triangle. And the length of the shortest side is a/2, since the line we drew cut the bottom line in half.

When calculating simple probability,
what goes in the numerator and what
goes in the denominator?
Please.

Answers

Answer:

The top number in a fraction. Shows how many parts we have. (The bottom number is the Denominator and shows how many equal parts the item is divided into.)

Step-by-step explanation:

A share of stock LOSES value in each week of a month. In which quadrant would the data points for this situation be graphed? ( The 2 variables are WEEKS and STOCK PRICE)

Answers

Answer:

Quad III

Step-by-step explanation:

III.

Any help with this question please?

Consider this equation.
c = ax – bx
Joseph claims that if a, b, and c are non-negative integers, then the equation has exactly one solution for x. Select all cases that show Joseph’s claim is incorrect.
A. a – b = 1, c ≠ 1
B. a = b, c = 0
C. a ≠ b, c = 0
D. a – b = 1, c = 0
E. a = b, c ≠ 0

Answers

Answer:

B.a=b, c≠0

C.a=b, c=0

D.a-b=1, c≠1

Step-by-step explanation:

The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x

Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.

A

a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0

B

a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.

C

This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.

D

Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.

E

Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.

From the above, the answer to the question is choices B, C, and D

Question 2
Find the Total Surface Area and volume of the prism below. Round to the nearest hundredth, if necessary.
8 cm
16 cm
18 cm
cm squared
Total Surface Area =
cm cubed
Volume =
Back
Next
M

Answers

the volume is 2304
the surface area is 1120

Best Company sells personalized mugs for $18 each plus a fixed fee of $26 for shipping and handling for the entire order. The Cup Expert Company sells personalized mugs for $22 each plus a fixed fee for $14 for shipping and tandling for the entire orderHow many personalized mugs would a customer have to purchase for the total cost of each company to be the same?

Answers

Answer:

3

Step-by-step explanation:

No
© A
A cube
side 4cm has the same
as a cone with diameter 7cm. calculate
correct to the nearest cm,
the
گج
the height
heig
cone,​

Answers

The answer is A. to your question

a sales clerk wants to make at least $519 . If he makes a base salary of $335 and $10.25 per hour at his part time job how many hours will he have to work?

Answers

Answer:

18 hours at least to reach the goal

Step-by-step explanation:

Well 519 is the lowest objective so lets aim for that

we can make an equation

since base pay is 335 that doesn’t change

We can make x for hours

335+10.25x ≥ 519

SO it can exactly equal or be greater

You’d get 17.95121... and you can’’t work 17.95121 hours so it has to be 18.

Help please will mark brainliest!!!

Answers

Answer:

3739.3

Step-by-step explanation:

Equation for an area of a circle: A=πr ^ 2

Radius is half the diameter, so r = 69 / 2 = 34.5

A = π * 34.5 ^ 2 = 3739.3 cm squared

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