Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies to make the maximum revenue

Answers

Answer 1

Answer:

The maximum revenue Luci Lulu can make selling cookies in one day is $2,000.

The price Luci Lulu should sell the cookies to make the maximum revenue is $1.

Step-by-step explanation:

From the question, we have:

x = −2000p + 4000 ..................... (1)

Where;

x = number of cookies sold

p = price of a cookie, p, and the

Revenue function (R) can therefore be obtained as follows:

R = px ……………………….. (2)

If we substitute equation (1) into (2), we will have:

R = p(−2000p + 4000)

R = −2000p^2 + 4000p ……………… (3)

Differentiating equation (3) with respect to p and set it equal to zero, we have:

−4000p + 4000 = 0

Solving for p, we have:

4000 = 4000p

p = 4000 / 4000

p = 1

Therefore, this implies the price Luci Lulu should sell the cookies to make the maximum revenue is $1.

Substituting p = 1 into equation (3), we have:

R = (−2000 * 1^2) + (4000 * 1)

R = (−2000 * 1) + (4000 * 1)

R = −2000 + 4000

R = 2000

This implies that the maximum revenue Luci Lulu can make selling cookies in one day is $2,000.


Related Questions

What describes the slope of this line

Answers

Answer:

Undefined

Step-by-step explanation:

ANSWER :

1: undefined slope

I need help please I’m going to give brainliest if u do help me thank you

Answers

Answer:

A orange is $0.39

Step-by-step explanation:

$1.56 divide that by 4

A giant tortoise travels at 0.17 miles per hour and an arctic hare travels at 37 miles per hour. If
The tortoise and the hare start out together and after half an hour the hare stops to take a rest. How long does it take the tortoise to catch up

Answers

Answer:

3.145 Hours

Step-by-step explanation:

37÷2=18.5

18.5×.17=3.145

It will take the tortoise to catch up with the hare 109 hours.

Given that,
A giant tortoise travels at 0.17 miles per hour and an arctic hare travels at 37 miles per hour. If The tortoise and the hare start out together and after half an hour the hare stops to take a rest. How long it takes the tortoise to catch up is to be determined.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Distance traveled by hare in half hour,
= speed * time
= 37 * 1/2
= 18.5 miles

Time is taken by the tortoise to catch up with the hare,
= distance / speed
= 18.5 / 0.17
≈ 109 hours

Thus, it will take the tortoise to catch up with the hare 109 hours.

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find the slope from the points (5,-1) & (8,-6)

Answers

Answer:

-5/3

Step-by-step explanation:

change in y over change in x

Solve: 7.45 - 22.1 - 6.8

Answers

-21.45 is the answer to this question.
Solve: 7.45-22.1-6.8
answer= -21.45

35 is 28% of what number? Please explain how you got it.

Answers

Answer:

125

Step-by-step explanation:

we have

x*.28= 35

we divide both sides by .28 and get

x= 125

and 28% of 125 = 35

Hope it helps !

Hey there!

[tex]\text{35 is 28\% of what \# ?}[/tex]

[tex]\bold{Equation: y = \% \times \ \# }[/tex]

[tex]\bold{We\ should\ now\ start\ looking\ for\ your\ unknown\ number}[/tex]

[tex]\bold{\# =\dfrac{y}{\%}}[/tex]

[tex]\bold{y=35}[/tex]

[tex]\%=28[/tex]

[tex]\bold{\#=\dfrac{35}{28\%}}[/tex]

[tex]\text{Convert 28\% to decimal}[/tex]

[tex]\bold{28\% =\dfrac{28\%}{100}=0.28}[/tex]

[tex]\bold{New\ equation: \dfrac{35}{0.28}}[/tex]

[tex]\bold{Simplify\ the\ one\ above\ and\ you\ have\ your\ mystery\ number}\uparrow[/tex]

[tex]\boxed{\boxed{\bold{Answer: 125}}}\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{Amphitirite1040}[/tex]

Solve each equation mentally: J + 7 = 13

Answers

Answer:

j=6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

13-7=6

Factor completely: X^3-5x^2-9x+45

Answers

Answer:

x^2(3x-5)-9(x_5)

I think that is the answer and hope you will benefit from it

Answer:

(x-5) (x^2-9)

Hope it helps....

Help ASAP please!!!!!

Answers

Answer:

f=      2x+3

         x

Step-by-step explanation:

Let's solve for f.

fx=2x+3

Step 1: Divide both sides by x.

fx

x

=

2x+3

x

f=

2x+3

x

A "rigid motion" refers to which of the following?

change in neither size nor shape
change in both size and shape
change in shape but not size
change in size but not shape

Answers

Answer:

change in neither size nor shape

Answer:

Change in neither size or shape

Step-by-step explanation:

Rigid motion changes the location or direction of the object not their size or shape

no clue how to answer this

Answers

Answer:

s=4.75

Step-by-step explanation:

Just substitute the given variable values into the original equation

s=10•½+½•-2•½²

s=5+-1•¼

s=5+-¼

s=-4.75

An airplane traveling with the wind flies 450 miles in 2 hours. On the return trip, the plane takes 3 hours to travel the same distance. Find the speed of the airplane if the wind is still.

Answers

Answer:

150mph

Step-by-step explanation:

find the area of the composite figure

Answers

You split it into a triangle and a rectangle. The rectangle’s area is 12x16=192. For the triangle, you have to find the length of the b side. You already know a and c so 12^2 + b^2=15.5^2. Solve it algebraically to get b=9. So the triangle has an area of (12x9)/2=54. So the total area is 192+54=246cm^2.

Dan invests £22000 into his bank account.
He receives 2.5% per year simple interest.
How much will Dan have after 3 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£23650

Step-by-step explanation:

FV (or AV) = PV(1+it)

22000(1+.025*3)

22000(1.075)

23650

What is the complete factorization of x^2 + 2x − 63?

A. (x + 21)(x − 3)
B. (x − 9)(x + 7)
C. (x + 9)(x − 7)
D. (x − 21)(x + 3)

Answers

Answer:

C. (x+9)(x-7)

Step-by-step explanation:

(x*x)=x^2

(9*x)=9x

(-7*x)= -7x

(9*-7)= -63

x^2+9x-7x-63 = x^2+2x-63

How do I find Mean Absolute deviation again? I forgot. URGENT!

Answers

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean

Step-by-step explanation:

Can I plz get some help plz Brainly

Answers

Answer:

5n/2

Step-by-step explanation:

The answer is C

Answer:

C.

Step-by-step explanation:

5 times a number (n) / 2 as a quotient

Meredith needs $399 to buy a tablet computer. She wants
to earn enough money babysitting to cover at least two-
thirds of the cost.
If she earns $8 an hour babysitting, write an inequality that
can be used to solve for b, the number of hours she must babysit.

Answers

Answer:

233 and 20 hrs

Step-by-step explanation:

Can somebody plz help answer these word prob questions plz thanks! (Grade7math( btw :)

WILL MARK BRAINLIEST WHOEVER ANSWER FIRST :DDD

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Answer:

3:1

8:5

Step-by-step explanation:

What is equivalent to the expression 7x - 14

Answers

7(x - 2) is equivalent to the expression

Answer:

7x -14

Step-by-step explanation:

god

Caroline ordered 126 shirts: She plans to decorate the shirts
and sell them in packages. Each package will have 5 shirts.
How many packages of shirts will she be able to sell?

Answers

Answer:

25 and there a leftpover of 2

Step-by-step explanation:

Hello i need help with this one aswell! ​

Answers

Answer:

24 cm^2

Step-by-step explanation:

This is called a ratio. The easiest way to solve this problem is to recognize that 12 / 4 will give you 3. Therefore, we can divide 96cm^2 by 4 and get our answer (24 cm^2).

However, you should make a habit of doing it the following way until you can start recognizing the shortcuts:

If the plane intersects the cylinder horizontally, the cross section

Answers

Did you finish this question? I feel like you're missing something.

AREA OF CIRCLE !! PLEASE HELP !! WILL GIVE BRAINLIEST !!

Answers

Answer:

A circle doesnt have a area its 0 duhhh

Step-by-step explanation:

Select all of the equations that have a solution of 4.
A.5x=20
B.8x-32
C.-4x=16
D.x/2=2
E.x/4=16

Answers

Answer:

a and d

Step-by-step explanation:

5x = 20

5/5x = 20/5

x = 4

8x = -32

x = -4

-4x = 16

x = -4

x/2 = 2

2*x/2=2*2

x = 4

x/4 = 16

4*x/4 = 16*4

x = 64

The equations 5x = 20 and x/2 = 2 are that have a solution of 4 which is the correct answer would be options (A) and (D).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have to determine the solution of all the given equations.

5x = 20

x = 20/5

Apply the division operation, and we get

x = 4

This is the required solution.

8x = -32

x = -32/8

Apply the division operation, and we get

x = -4

-4x = 16

x = 16/4

x = -4

x/2 = 2

2×x/2=2×2

x = 4

This is the required solution.

x/4 = 16

4×x/4 = 16×4

x = 64

Therefore, the correct answer would be options (A) and (D).

Learn more about the equation here:

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Math Please Help Make sure you explain your answer Thanks Have a blessed day!

Answers

Answer: A

Step-by-step explanation:

x=3=x=7=

24−x=20=

The equation for picture D is 13 4/5 = w + 3 4/5. What is the solution? Write the number answer only. Please do not write the variable with it

Answers

Answer:

13 4/5 = 10 + 3 4/5

Step-by-step explanation:

2 of 6
Caroline and Sarah are marking exam papers.
Each set takes Caroline 89 minutes and Sarah 2 hours.
Express the times Caroline and Sarah take as a ratio in its simplest form.

Answers

Answer:

89:120

Step-by-step explanation:

convert the both times to minutes

2 hours is 120 mins

89:120

both divisible by 1

89:120

it cant be simplified further

Find the missing x value for for question 14

Answers

Answer:

x=12 but who knows maybe

Step-by-step explanation:

if we are trying to say those lines are equal length than surely the equations must be equal value otherwise they aren't equal so we can probably set them equal to each other and solve for x right? 2x+6=3x-6 subtract 6. 2x=3x-12. subtract 3x. -1x=-12. divide by -1 so x=12.

Two snakes race the speed of the first is 24 1/2 inches per minute and the speed of the other is 26 inches per minute how far apart with they be in 3 min? 10 min?

Answers

Answer:

637, 245

Step-by-step explanation:

Speed is the rate of change in the position of an object. The distance between the two snakes after 10 mins is 15 inches.

What is the relation between speed, distance, and Time?

We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given to us

Two snakes race The speed of the first is 24 1/2 inches per minute The speed of the other is 26 inches per minute

What is the distance between them after 3 mins?

The relative speed between them, as they are moving in the same direction, therefore,

Relative speed = (26-24.5) = 1.5 inches per minute

[tex]\text{Distance between them after 3 mins}= \rm speed \times \rm time[/tex]

                                                        [tex]= 1.5 \times 3\ mins\\= 4.5\ inches[/tex]

Thus, the distance between the two snakes after 3 mins is 4.5 inches.

What is the distance between them after 10 mins?

The relative speed between them, as they are moving in the same direction, therefore,

Relative speed = (26-24.5) = 1.5 inches per minute

[tex]\text{Distance between them after 10 mins}= \rm speed \times \rm time[/tex]

                                                          [tex]= 1.5 \times 10\ mins\\= 15\ inches[/tex]

Thus, the distance between the two snakes after 10 mins is 15 inches.

Learn more about Speed, distance, and Time:

https://brainly.com/question/15100898

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