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 .

Answers

Answer 1

Answer:

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

b. The price she should sell the cookies for her to make the maximum revenue is $1.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

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 for to make the maximum revenue.

The explanation of the answer is now provided as follows:

Given;

x = −2000p + 4000 …………………………. (1)

The revenue function is obtained as follows:

R = px ……………………….. (2)

Substitute equation (1) into (2), we have:

R = p(−2000p + 4000)

R = −2000p^2 + 4000p ……………… (3)

Obtain the derivative of equation (3), set to zero and solve for p, we have:

−4000p + 4000 = 0

4000 = 4000p

p = 4000 / 4000

p = 1

From the above, p = 1 implies that the price that ensure maximum revenue is $1.

We can now answer as follows:

a. Find the maximum revenue Luci can make selling cookies in one day.

Since p = 1 implies that the price that ensure maximum revenue is $1, we then substitute p = 1 into equation (3) as follows:

R = (−2000 * 1^2) + (4000 * 1)

R = (−2000 * 1) + (4000 * 1)

R = −2000 + 4000

R = 2000

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

b. Find the price she should sell the cookies for to make the maximum revenue.

Since p = 1 implies that the price that ensure maximum revenue is $1 as obtained above, it therefore implies that the price she should sell the cookies for her to make the maximum revenue is $1.


Related Questions

I'll give Brainliest to whoever can help! I need help ASAP..!!

Answers

Answer:

1. b d

2. is c or d

3. a or c

4. b or c

5. c

Step-by-step explanation:

1) B
2)B
3) I can’t really see the numbers on the number line

Maria is in the state park riding her bike on the new bike trail. She starts at the beginning of the trail and rides for 4 miles. After the first 4 miles, her friend Aiden joins her and they ride the rest of the trail. By the end of the trail, Maria has been riding for two and half hours, while Aiden has been riding for two hours. Assuming they are both riding their bikes at a constant speed the entire time, how long is the bike trail?​

Answers

Answer:

20 miles

Step-by-step explanation:

If Maria has been riding for 2 1/2 hours and Aiden only for 2. That means that the first 4 miles she rode alone was for 1/2 hour. So that is the rate.

1/2 hour for every 4 miles

Maria rode for 2 1/2 hours divided by 1/2 hours is 5. So 5 x 4mi = 20 miles

Answer:

20 miles

because 4 miles= 1/2 hr

solve for X: 3х + 4 = 9x + 3 ​

Answers

Answer:

x=1/6

Step-by-step explanation:

The steps are in the picture below

Answer:

Step-by-step explanation:

here you go mate

step 1

3х + 4 = 9x + 3 ​ equation

step 2

3х + 4 = 9x + 3 ​ simplify

-6x+4=3

step 3

−6x+4=3  subtract 4 from both sides

−6x+4(-4)=3(-4)

-6x=-1

step 4

[tex]\frac{-6x}{-6} =\frac{-1}{-6}[/tex]  divide both sides

answer

x=[tex]\frac{1}{6}[/tex]

A) SAS
B) AAS
C) Not enough information
D) SSS

Answers

It would be not enough information since there isn’t three different marks, for example the angles have the circles and for the sides they are marked with lines

Can someone find "BC" for me plz?

Answers

Answer:

BC = 104

Step-by-step explanation:

By the SAS postulate, ΔBDA and ΔBDC are congruent, meaning that each of the corresponding sides are equal in length.

BD = BD

AD = CD

BA = BC

If we know BA = 21x - 1 and BC = 9x + 59, then we can set them equal to each other and solve for "x".

BA = BC

21x - 1 = 9x + 59

21x = 9x + 60                     Added 1 to both sides

12x = 60                             Subtracted 9x from both sides

x = 60/12                            Divided both sides by 12

x = 5                                   Reduced fraction, solved for "x"

To find BC, substitute x = 5 into the equation for BC.

BC = 9x + 59

BC = 9(5) + 59                    Substituted "x" for 5

BC = 45 + 59                      Multiplied 9 and 5

BC = 104                            Added, solved for BC

∴ BC = 104

What is the equation of a line with a Y intercept of -3 and a slope of five

Answers

Answer:

y = 5x -3

Step-by-step explanation:

m=5

b=- 3

y = mx + b

y = 5x -3

What is the length of AC?

Answers

Answer:

b

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

triangles CAB and CED are similar, their sides are proportional

set up a proportion:

[tex]\frac{51}{144-x}[/tex] = [tex]\frac{3}{x}[/tex]

cross-multiply:  51x = 3(144 - x)

                         51x = 432 - 3x

                         54x = 432

                          x = 8

Plug in:

144 - 8 = 136

19. What percent of offspring will be blue eyed?

0%
25%
50%
100%

Answers

It is 0% Bc it’s not capital

Answer:

25%

Step-by-step explanation:

What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.

Answers

Answer:

x is equal to 3 and -0.25

Step-by-step explanation:

The answer can be found by factoring the equation and solving for zero:

[tex]8x^2 = 6 + 22x\\4x^2 = 3 + 11x\\4x^2 - 11x - 3 = 0\\4x^2 -12x + x - 3 = 0\\4x(x - 3) + (x - 3) = 0\\(4x + 1)(x - 3) = 0[/tex]

So x is equal 3 and -0.25

QUICK I NEED HELP!!! the question is: Roberto is using 12 blue tiles and 8 green tiles to design a of his outdoor patio which ratio compares the number of blue tiles to the number of green tiles in one section

Answers

12:8 is the correct answer

Someone please help me with this I really don’t know how to do this.

Answers

Answer:

Slope of the graph is steeper.

The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Step-by-step explanation:

First we will find slope of the graph.

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We need to find two points from the graph to find the slope.

Let we take point 1 (-2,1) and point 2 (1,2)

We will have: [tex]x_1=-2, y_1=1, x_2=1, y_2=2[/tex]

Now finding slope of the graph

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}[/tex]

So, slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Now, we will find slope of Linear function.

It has x-intercept of 1 and y-intercept of -2

x-intercept means y=0

So, the point will be: (1,0)

y-intercept means x=0

So, the point will be: (0,-2)

We will have: [tex]x_1=1, y_1=0, x_2=0, y_2=-2[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2[/tex]

So, the slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]

Now, we need to find which of the slope is steeper.

The larger the value of slope, more steeper it is:

Now, comparing the slopes:

The slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

The slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]

We know that, [tex]\frac{1}{3}>-2[/tex]

So, Slope of the graph is steeper.

The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Pleas help it’s due tomrrow

Answers

Answer:

Step-by-step explanation:

K is located at -25

L is located at -15

just move 5 units away from J on both sides

hope this helps <3

did I correctly fill this out(20 points someone please answer)

Answers

Answer: yes

Step-by-step explanation:

Solve using a proportion and an equation. Kendra found the experimental probability of her making a penalty kick in soccer is 3/10 or 30%. Out of 40 penalty kicks, how many could she predict she will make?

Answers

Answer: The predicted number of penalty kicks = 12

Step-by-step explanation:

Given : The experimental probability of her making a penalty kick in soccer is 3/10 or 30%.

So, the proportion of penalty kicks she make = 0.3

Out of 40 penalty kicks, the predicted number of penalty kicks = 0.3 x 40

= 12

Hence, the predicted number of penalty kicks = 12

*TWO QUESTIONS IN ONE*
1. What is the area of the white triangle below?


2. What is the area of the shaded region (grey) of the figure?

Answers

Answer:

1. 18 2. 30

Step-by-step explanation:

finding a triangle a=b(base)h(height) 1/2

9 times 4=36/2 =18

the whole thing is 48- the triangle 18=30

given mtw=bgk find the values of x and y

Answers

Answer:

x = 12

y = 8

Step-by-step explanation:

to solve for x you would set up your equation:

4x - 3 = 45

then solve using algebra:

4x - 3 = 45

4x = 48

x = 12

to solve for y set up your equation as:

11y + 6 = 94

TO GET 94: you will need to subtract 41 and 45 from 180 to get 94.

(each triangle equals 180 and we need the 3rd measure)

solve the equation:

11y + 6 = 94

11y = 88

y = 8

Hope this helped!!

Can somebody plz help and try answering these word problems correctly thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD

Answers

Answer:

21. is 18 dollars

22. is 75 dollars

Step-by-step explanation:

Answer:

21. $18.00

22. $75.00

Step-by-step explanation:

21. you can first start by seeing that since two pairs of socks are $6, then one pair must be $3. So, by multiplying 6 by 3, you would get 18 which would show that the socks would cost $18.

22. By dividing 15 by 3, you can deduce that an hour of cleaning would yield $5. So, by multiplying that by 15, she would earn $75.

Hope this helped!

How do I get 1/2 divided by 1/4 step by step

Answers

such as 1/2 ÷ 1/4, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other then we get the answer 2

what percent of a is b

Answers

Answer:

I didn't receive enough information about this, but I hope this helps?

Step-by-step explanation:

A 50%?

B 50%?

This problem needs more information.  :3

To answer this, we’d need specific numbers, but the basic concept can be explained.

to solve this problem, you need to multiply b by 100 and divide by a.

I need help ASAP! Please don't answer if you don't know the answer.

Answers

X = 5/6, y= 8/5. I hope this helped

Find the HCF of 32 and 50 using prime factors

Answers

Answer:

It’s 32

Step-by-step explanation:

cos 63° = x/80 ??? PLS HELP????

Answers

Answer:

X = 37.6

Step-by-step explanation:

Cos(62°) = X/80

80cos(62°) = X

X = 80cos(62°)

X = 37.6

What is the sum of 1/5 and 3/4?

Answers

Answer:

19/20

Step-by-step explanation:

1/5+3/4

(4+15)/20....take L.C.M

19/20

Answer:

0.95 OR 19/20 OR 95%

Step-by-step explanation:

(1/5)+(3/4)=0.95

HOPE IT HELPS

,a,Please help me with this question

Answers

ik i’m late but, 5/4 fabric or 1 1/4 fabric. :)

I need help I don’t get the question

Answers

They are equal to each other
9x - 7 = 7x - 3
2x = 4, x = 2
Solution: x = 2

Answer:

2

Step-by-step explanation:

9x-7 = 7x-3

9x-7x = 2x

2x -7 = -3

   +7   +7

2x=4

x=2

A cyclist travels 20 km from home to the park.
She leaves home at 11:10 and arrives at the park at 11:40.
What is her average speed in km/h?

Answers

Answer:

40 kph

Step-by-step explanation:

I'm not to familiar with km but if it took you 30 minutes to travel 20km you would have to be going 40kph. It's basic math too. If you went 20 kph for 20km it would take you an hour to get there, but since they made it in 30 minutes, you just double the speed.

Pls help I will give BRAINLIEST ​

Answers

Answer: M<2=38 m<3=142 m<4=38

Step-by-step explanation:

142+142+38+38=360-Both side

142+38=180- one side

180-142=38

Answers:

angle 2 = 38 degreesangle 3 = 142 degreesangle 4 = 38 degrees

========================================================

Explanation:

Angle 1 is given to be 142 degrees. Angle 3 is equal to this measure since vertical angles are congruent. Vertical angles are angles that form when you have an X shape like this. They are opposite angles.

Angles 2 and 4 are the other pair of congruent vertical angles. This means angle 2 = angle 4.

Note how angle 1 and angle 2 form a straight line. These two angles add to 180.

(angle1) + (angle2) = 180

(142) + (angle2) = 180

angle2 = 180-142

angle2 = 38 degrees

angle 4 is also 38 degrees since angles 2 and 4 are a congruent vertical angle pairing.

For each expression, combine like terms and write an equivalent expression with fewer terms. 4x+3x

Answers

9514 1404 393

Answer:

  7x

Step-by-step explanation:

We can factor out x and simplify.

  4x +3x = x(4 +3) = 7x

If you were having a birthday party and had 30 slices of pizza, how many slices would 5 birthday guests each get? What about 10 birthday guests? 15 birthday guests?

Answers

Answer:

5 guests: 6 slices 10 guests: 3 slices 15 guests : 2 slices

Step-by-step explanation:

So, we have 30 slices of pizza and 5, 10, and 15 slices

So , we need to divide 30 by each of the guests

30÷5=6

30÷10=3

30÷15=2

We can also heck by multiplying teh guests by our answer

5*6=30 ✔️

10*3=30✔️

15*2=30✔️

So, for 5 guests, each oione gets 6 slices

For 10 guests, each guest gets 3 slices

For 15 guests, each guest gets 2 slices

A farmer wants to fence in a square pasture for his sheep. The length of one side of the pasture is represented by ^2^3. What term represents the area of the pasture?

Answers

Answer:

4x^6

Step-by-step explanation:

Area of the square pasture = L² where:

L is the

length of one side of the pasture

Given

L = 2x³

Area of the pasture = (2x³)²

Area of the pasture =2x³•2x³

Area of the pasture = 4x^{3+3}

Area of the pasture = 4x^6

Hence the area of the pasture is 4x^6

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