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

PLS HELP WILL GIVE BRAINLIEST TY

Answers

Answer:

A. x=3

Step-by-step explanation:

Write the number in the exponential form with an exponent of 3.... therefore x=3 that’s your answer

A dolphin jumps from the water at initial velocity of 16 feet per second. The equation h= -16t^2+80t models the dolphin's height at any given time, t. what is the maximum height the dolphin jumps?

a) 1 foot
b) 5 feet
c) 96 feet
d) 100 feet

Answers

Answer:

d) 100 feet

Step-by-step explanation:

The x value of the vertex (highest point in this case) is found via -b/2a:

-80/-32 = 2.5

Plug 2.5 into the function:

h(2.5) = -16(2.5)² + 80(2.5)

= - 100 + 200 = 100

Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,300 just for the laptop. Sean made a 46% profit on the cost of the printer. What was the cost of the printer? Give your answer to 2 decimal places.

Answers

Answer: £137

Step-by-step explanation:

Since Sean sold both items for £1,500 getting £1,300 just for the laptop, the slave price of the printer will be:

= £1500 - £1300

= £200

Since we are informed that Sean made a 46% profit on the cost of the printer, the cost of the printer goes thus:

= £200 /(1 + Profit percent)

= £200 / (1 + 46%)

= £200 / 1.46

= £136.99

= £137 approximately

The equation y= 1.56x + 8.36 models the approximate height of a tree in feet after x weeks. Which statements are true about the linear model? Select all that apply.

A. The plant grows a total of 1.56x feet.
B. The initial height of the plant is 1.56 feet.
C. The initial height of the plant is 8.36 feet.
D. The plant grows about 1.56 feet each week.
E. The plant grows about 8.36 feet each week.

Answers

Answer and Step-by-step explanation:

C. The initial height of the plant is 8.36 ft.

When you plug 0 in for x, we get the value of 8.36. When x is 0, that means that 0 weeks have gone by, thus the plant starts at a height of 8.36 feet.

D. The plant grows about 1.56 ft. each week.

We see that the number 1.56 is with the x, so for every week that goes by, the growth will be changed by 1.56, thus making the plant grow 1.56 feet each week.

#teamtrees #PAW (Plant And Water)

how to graph 2x + 6y = -8

Answers

this is how this should help.

Amy’s dog weighs 14 pounds.

What is the dog’s weight in ounces?


30


64


210


224

Answers

Answer:

64

Step-by-step explanation:

thats all my answer...

Answer:

16 ounces in a pound

14 x 16= 224 ounces

PLSSSSSS HELPPPPP ASAPPPP

Answers

Answer:

I believe its C

Step-by-step explanation:

If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.

solve the system by substitution y+X=3 2y+x=-5

Answers

Answer:

Step-by-step explanation:

We have the system:

y+x=3

2y+x=-5

the question asks us to solve by substitution..

Let's subtract y from both sides of the first equation

y+x=3

-y    -y

x=3-y

now, let's substitute 3-y as x into the second equation

2y+3-y=-5

combine like terms

y+3=-5

subtract 3 from both sides

y=-8

so the value of y is -8

now let's use that information to solve for x; we know that x is 3-y, so let's substitute the value of y to find x

x=3-y

x=3--8

x=11

the value of x is 11

as a point, your answer is (11,-8)

Hope this helps! :D

There are 10 marbles in a bag : 5 red and 5 blue she draws a marble from the bag at random. The marble is red. She put the marble back into the bag. What is the probability that next marble she draws at random is red ?

Answers

Answer:

1/ 2

Step-by-step explanation:

Given that:

Number of marbles, = 10

Number of Red marbles = 5

Number of Blue marbles = 5

Probability, p = required outcome / Total possible

Probability of picking a red marble :

Required outcome = number of red marbles = 5

Total possible outcomes = total number of marbles = 10

Hence,

Probability of picking a red marble, P(picking a red marble) = 5 / 10 = 1/2

i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported

Answers

Answer:

for volume you multiple l*w*h so 2)432 4)1,216


Solve for X. Round to the nearest tenth.
29
18

Answers

Answer:

x = 30.5

Step-by-step explanation:

cos(18º) = 29/x

Multiply both sides by x and divide both sides by cos(18º) to get

x = 29/cos(18º)

x = 30.5  

Cody starts the month of April with 5 action figures. Each month, he collects an additional 3 action figures.

Write an equation (in slope-intercept form) that matches Cody's situation.

Group of answer choices

y = 3x + 5

y = 5x + 3

y = 3x - 5

y = 5x - 3

Answers

Answer:

y= 3x + 5

Step-by-step explanation:

The +5 represents the starting 5 action figures, and the 3x represents the 3 action figures he collects each month.

What is the total surface area??Please help me I’m so confused i have a test tomorrow

Answers

214 is the correct answer

Answer:

216 :)

Step-by-step explanation:

There are five sides in total. To find the total surface area we have to find the area of each side.

Let's start off easy with the rectangle at the base. The width and length are 7 and 6, which gives us an area of 42.

The rectangle with dimensions of 8 as the length and 7 as the width gives us an area of 56.

The rectangle with a length of 10 and a width of 7 gives us 70 as an area.

The two triangles are congruent, so all we have to do is find the area of one and multiply it by two. The formula for an area of a triangle is 1/2(bxh)-or the two legs multiplied by each other and then divided by 2. The length of one of the legs is 8, and the other is 6. That gives us 48, which we will then divide by 2 to give us a total area of 24. Now we have to multiply that by two because there are two triangle sides on this figure and they are congruent. That gives us a product of 48.

Now we add up all the areas of each side:

42 + 56 + 70 + 48 = 216

I need the answer pliss​

Answers

Answer:

Im sorry never did this before

help plz, will mark brainliest

Answers

Answer:

option c.........it should be tan(20)=x/15.035

Answer:

d

Step-by-step explanation:

PLEASE HELP 15 POINTS
Find m RS
S
(6x-28)
(4x+ 20)

Answers

Answer:

arc RS = 116°

Step-by-step explanation:

Since the 2 chords are congruent then their minor arcs are congruent, that is

SR = TU, substitute values

6x - 28 = 4x + 20 ( subtract 4x from both sides )

2x - 28 = 20 ( add 28 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°

Help plzzzzzzzzzzzzz

Answers

90 x 0.9 (90%) = 81 students

This means 81 students are enrolled in health.

Hope this helps :)

Answer:

OK

Step-by-step explanation:

Yep pls ASAP


Fifufhucuwhhciw

Answers

Answer:

10 2 28

9 3 30

8 4 32

7 5 34

6 6 36

the midpoint between -1/11 and 9/11



[tex]-\frac{1}{11}and\ \frac{9}{11}[/tex]

Answers

4/11


Hope this helps:):)

Answer:

4/11

Step-by-step explanation:

-1/11+9/11=8/11

mid=(8/11)/2

=4/11

Give the solution to the system

Answers

Answer:

f(x)=x+2g(x)=-1(x-4)

f(x) represents the red line

g(x) represents the green line

if the variable x = 1

1+2=-1(1-4)

3 = -1(1×(-3))

3 = -1×(-3)

3 = 3

What is the answer to this??

How to solve the maze:
1. Start on the start space and complete the problem.

2. The answers are on the arrows but you have to choose the correct answer.

3. When the correct answer is chosen move to the next quest that the answer arrow is pointing to.

4. Complete answers as you go on until you reach the finish square!!

Please help me!! More points for solving.

Answers

Answer:

54, 32, 76, 72, 68, 29, 24,

Step-by-step explanation:

please help me i need it

Answers

Answer:

n umber 3 is b and 4 is d

Step-by-step explanation:

A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit

Answers

Answer:

He is making 20 naira profit for every 4 cups that he sells for 100 naira

Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira

The probability that comic book reader in a particular city prefers comics published by company A is 25%. The probability that comic book reader in the city's is male 70%

Answers

Complete question is;

The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?

Answer:

0.14 or 14%

Step-by-step explanation:

We are told that the probability that the comic book readers prefers comics published by company A is 25%.

Thus; P(A) = 25% = 0.25

Also, we are told that the probability that comic book reader is male 70%.

Thus; P(M_r) = 70% = 0.7

We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.

Thus; P(A|M_r) = 40% = 0.4

To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.

Thus;

P(M_r|A) = [P(A|M_r) × P(A)]/P(M)

P(M_r|A) = (0.4 × 0.25)/0.7

P(M_r|A) ≈ 0.14

(HELP ME ASAP PLEASE) Line r is the image of the linear equation below after a dilation of scale factor 2 centered at (- 1, - 2) . What is the equation of the line r? (Note: you will need graph paper to complete this problem!) 6x - y = - 6

Answers

Answer:

th equation of the line can be considered a linear function equation

Step-by-step explanation:

hope it helps

You pick a card at random.
3 4 5 6
What is P(4)?
Write your answer as a fraction or whole number.

Answers

Answer:

im in paine from doing ixl so here is the answer its 1/3 bye

Step-by-step explanation:

paine

The required probability of picking a 4 from 3 4 5 6 is 1/4.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a mathematical concept used to quantify the chance of a particular outcome or event happening, based on the total number of possible outcomes. Probability is usually expressed as a number between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

Here,
There are four cards in total, with one of them being a 4. Therefore, the probability of picking a 4 is:

P(4) = number of ways to pick a 4 / total number of cards

P(4) = 1/4

So the probability of picking a 4 is 1/4.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

Can someone pleaseee help me

Answers

Answer:6

Step-by-step explanation:

Vertical angle proof. 4x is equal to 24 so 24/4=6 and x is 6

Are the two flags similar? If so, which triangle similarity theorem did you use to make your conclusion?

Answers

Answer:

NO

Step-by-step explanation:

I THINK THE RIGHT ANSWER IS RHS THEOREM.

Given right triangle HJK, which of the
following ratios is equivalent to cosH?

Answers

Answer:

cosH = JH/KH

Step-by-step explanation:

coa refers to base by hypotenuse

for H,

the base is JH and the hypotenuse is KH.

In the given right angled triangle cos H is equivalent to sin K

What is right angled triangle?

A triangle in which one of the interior angles is 90° is called a right triangle

Here,

Cos H =  Adjacent side / Hypotenuse = [tex]\frac{JH}{KH}[/tex]

In the given option

sin K = Opposite side / Hypotenuse[tex]=\frac{JH}{KH}[/tex]

Therefore Cos H is equivalent to the sin K

Hence, sin K is equivalent to the cos H

Learn more about right angled triangle here

https://brainly.com/question/3770177

#SPJ2

60 points!!! pls help

Answers

Answer:

im answering so the other guy can get brainliest...

hv a great day!!! :)

Step-by-step explanation:

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