An ice cream shop sells 700 cones per day at a price of $4.50. A survey lets the owner know
that for every decrease in price of $0.50, they will be able to sell 100 extra cones. Write an
equation for the Revenue, R, which can be used to determine how much the owners should
charge in order to maximize their revenue.​

Answers

Answer 1

Answer:

R(x) = (4.50 – 0.50x)(700 + 100x)

___________________________

R(x) is in factored form

Where x is each decrease in the price.

____________________________

Explanation:

R(x) is in the form ax² + bx + c.

This is where the equation is distributed and simplified [Standard form]

The maximum revenue is represented by

R(-b/2a), where the vertex of this relationship is, at x = -b/2a.

Revenue = (Price)(Quantity)

____________________________

R(x) = (4.50 – 0.50x)(700 + 100x) →

-50x² + 100x + 3150 [ax² + bx + c].

x = -b/2a

x = -(100)/2(-50)

x = -100 / -100

x = 100 / 100

x = 1

Therefore R(1) or where the price is decreased by a factor of 1 is the maximum revenue.

R(2) = -50(1)² + 100(1) + 3150

R(2) = -50(1) + 100 + 3150

R(2) = -50 + 100 + 3150

R(2) = 3200.

_______________________________

Thus the best revenue ($3,200) is obtained by decreasing the price once (Price of 4$), with 800 cones.


Related Questions


Help me out please?

Answers

Answer:

perpendicualr

Step-by-step explanation:

Answer:

Perpendicular

Explanation:

The mass of a dolphin is 2 × 102 kilograms. The mass of an orca is 1 × 104 kilograms. About how many times as much mass does the orca have than the dolphin?

Answers

Answer: 100

Step-by-step explanation:

2 x 102 = 204 and 1 x 104 = 104.

204 — 104 = 100.

5 less than 3 times a number y. Please help.

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Answer:

3y-5 would be your equation

Step-by-step explanation:

Answer:

H-u-H?!

Step-by-step explanation:

Right answer gets brainlist right answer gets brainlist

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Answer:

There's no question.

Step-by-step explanation:

Ram gives his son 100 naira on one day, 50 naira on the second day, 25 naira on the third day and so on. What will be the total amount given by Ram to his son starting from the first day, if he lives forever?​

Answers

Answer:

175+(25*∞d)

Step-by-step explanation:

So d will represent the days which we don't know yet

100 + 50 + 25 + 25d

175+25d

and in this case it will be infinite the amount of days so

175+(25*∞d)

The total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.

Given,

Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.

We need to find what will be the total amount given by Ram to his son starting from the first day if he lives forever.

What is a geometric sequence?

It is a sequence where each term after the first term is found by multiplying the previous terms by a common ratio.

Example:

2, 4, 8, 16, 32

Common ratio = 4/2 = 8/4 = 16/8 = 2

The sum of the nth term of a geometric sequence is given by:

S = a [ [tex]r^{n}[/tex]- 1 ) / ( r - 1 ) ] if r > 1 ______(1)

S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ] if r < 1 _______(2)

We see that,

Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.

This is a geometric sequence.

Find the sequence.

100, 50, 25, ,,,,,,, ∞

Here,

The common ratio is:

r = 50 / 100 = 25/50 = 1/2

i.e r < 1

Find the sum of at ∞.

Now,

a = 100

r = 1/2

n = ∞

From (2)

S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ]

S = 100 [ 1 - 0 ] / (1 - 0.5 ) ]

S = 100 [ 1 / 0.5 ]

S = 100 / 0.5

S = 200

Thus the total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.

Learn more about geometric sequences here:

https://brainly.com/question/11266123

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the perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?​

Answers

Answer:

9 mm wide

Step-by-step explanation:

Perimeter = length x 2 + width x 2

34 mm = 16 mm + ?

34mm = 16 mm + 18 mm

18/2 = 9

9 mm wide

Answer:

p=2L+2W

34mm=(2×8)+2W

34mm=16+2W

2W=34mm-16mm

2W=18mm

W=9mm

A cylindrical well has a radius of 10 feet and a height of 15 feet. What
volume of water will it take to fill in the well?

Answers

Answer:

Look below.

Step-by-step explanation:

We can use the information provided to plug it into a...

Fomula to find a volume of a cylinder:

V=πr^2h

V=π(10)^2(15)

V≈4712.39ft

Rewrite the following problems using exponent rules. Then, solve using logarithms.
1. 3(0.99)4t = 15
2. 4(1.01)3 + t = 8

Answers

9514 1404 393

Answer:

  1. 3(0.96059601^t) = 15; t = -40.03

  2. 4.121204(1.01^t) = 8; t = 66.66

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

The solution for an exponential problem using logarithms is ...

  a·b^x = c   ⇒   log(c/a)/log(b) = x

_____

1. Rewrite: (3)(0.99^4)^t = 15  ⇒  3(0.96059601^t) = 15

Solution: t = log(15/3)/log(0.96059601) ≈ -40.03

__

2. Rewrite: 4(1.01^3)(1.01^t) = 8  ⇒  4.121204(1.01^t) = 8

Solution: t = log(8/4.121204)/log(1.01) ≈ 66.66

what is the value of x?

Answers

Answer:

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.

A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue

Answers

Answer:

Use 1.75 cups of blue and 1 cup of yellow

Step-by-step explanation:

The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.

Tell me if you can’t see it I’ll tell you the answers!!

Answers

Answer:

I can't see it

Step-by-step explanation:

Answer:C

Step-by-step explanation: it’s 3/15, meaning, for example, taking 3 chocolate bars from a bunch of 15

Solve for y. 2(2y+6)=28​

Answers

Answer:

y=4

Step-by-step explanation:

2(6 + 2y) = 28

(6 x 2 + 2y x 2) = 28

(12 + 4y) = 28

12 + 4y = 28

 12 + -12 + 4y = 28 + -12

 12 + -12 = 0

0 + 4y = 28 + -12

4y = 28 + -12

 28 + -12 = 16

4y = 16

16\4

 y = 4

Please help I really don’t understand this question

Answers

Answer:

I will explain it to you in a jiffy ok? Can you wait a sec

The Polygons are similar. Find the value of x. ​

Answers

Answer:

13

Step-by-step explanation:

8/2=16/4

=4

x-3=2.5*4

x=10+3

x=13

The x would be 13, explanation: each value from the smaller polygon is multiplied by 4 to equal the value of the corresponding area on the larger polygon, 2.5 multiplied by 4 is 10, 13 - 3 equals 10, therefore x is 13 :)

What value of x is in the solution set of -2(3x + 2) > -8x + 6?

-6

-5

5

6

Answers

Answer:

hello as I think the answer is X= 6

Answer:

6

Step-by-step explanation:

Given

- 2(3x + 2) > - 8x + 6 ← distribute parenthesis on left side

- 6x - 4 > - 8x + 6 ( add 8x to both sides )

2x - 4 > 6 ( add 4 to both sides )

2x > 10 ( divide both sides by 2 )

x > 5

The only value on the list greater than 5 is 6

Then 6 is in the solution set

Write the series using summation notation: -1 +4-9+ 16 - 25+ ...

Answers

It’s gonna by the did r end

HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

1. +25

2. +14

3. -10

4. -3

5. +2

Step-by-step explanation:

I hope these help , please tell me if i got any incorrect or misunderstood!

A girl walks 5,000 meters in one hour. If the girl walks at the same speed for 4 hours, how many kilometers will she have walked?

Answers

She will walk 20,000 kilometers

mathematical literacy
[tex]79 \times 85[/tex]

Answers

Answer:

6715

Step-by-step explanation:

I hope this helps, :)

Ayyy bro so it’s 6715, you could of done this On a calculator

help please again...

Answers

Answer:

84

Step-by-step explanation:

Ab = 7 x 2 = 14

V = 14 x 6 = 84

An athlete consumed 4,000 calories yesterday. Today, she consumed 3,800 calories. What is the percent change in number of calories consumed. Was this a percent increase or decrease? Round to the nearest percent.

Answers

It is a 200% decrease.

A middle school has 200 boys and 300 girls enrolled in the seventh-grade. The principal randomly selects 45 seventh-grade students to take a lunch survey. How many of the seventh-grade students selected for the survey should the principal expect to be boys?

Answers

Answer:18

Step-by-step explanation:

Given

The school has 200 boys and 300 girls

The ratio of boys and girls is 2:3

If 45 seventh grade students are selected then the ratio of boys and girls remain the same

suppose there are 2x boys and 3x girls, such that ratio is 2:3

[tex]\Rightarrow 2x+3x=45\\\Rightarrow 5x=45\\\Rightarrow x=9[/tex]

No of the boys are [tex]2x=2\times 9=18[/tex]

Answer:

18

Step-by-step explanation:

what the another person said

Write the equation of the line which passes through (1, 2) and with slope of −1/3
in standard form.

Answers

Answer:

         x + 3y = 7            

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                                y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2)    ⇒   x₁ = 1,  y₁ = 2

Therefore,  the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃                     {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃                     {add 2 to both sides}

¹/₃x + y = 2¹/₃                       {multiply both sides by 3}

x + 3y = 7            

The sales representative went to made a deal with the schools for a discount on the individual juice bottles the company usually sells the bottles to the distributors for $2.25 but they are selling them to the schools for 15% off for what price will they sell each bottle to the school?

Answers

Answer:

$1.91 per bottle :)

Step-by-step explanation:

Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

Answers

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

3x = -6у + 3
2y = -x+1

Answers

Answer:

3x = -6у + 3 and   2y = -x+1 are the same

i dont know what the question is but this should help. they are the same line on  a graph

Step-by-step explanation:

3x = -6y + 3

2y = -x + 1 adding x on both sides and subtracting 2y on both sides

x = -2y + 1 multiply by 3

3x = -6y + 3

help please :)
V74
V74

Answers

Answer:

x =10

Step-by-step explanation:

Using the pythagoras theorem om one of the right triangle;

(√74)² = (x/2)²+7²

74 = (x/2)²+49

(x/2)² = 74 - 49

(x/2)² = 25

Square root both sides

√ (x/2)² = ±√25

x/2 = ±5

x = 2 * ±5

x = ±10

Hence the value of x is 10

Such as 0.5, has a finite number of digits.
a. terminating decimal
b. repeating decimal ​

Answers

Answer: terminating decimal

Step-by-step explanation:    :)

Please help me give Brain

Answers

Answer:168

Step-by-step explanation:

finding the area, ty

Answers

There is no picture attached
I would love to help but where is the pic?
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