) 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

Answers

Answer 1

Answer:

The maximum revenue Luci can make selling cookies in one day is $4,004,000.

Step-by-step explanation:

Given;

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

Revenue = xp

Revenue = (−2000 p + 4000)p =

Revenue = −2000p^2 + 4000p .................... (2)

The price at which Luci will the maximum profit can be calculated by finding the derivative of equation (2), equating to 0, and then solve for p as follows:

−4000p + 4000 = 0

4000 = 4000p

p = 4000 / 4000

p = 1

This implies that the price at which Luci will the maximum profit is $1.

Substituting p = 1 into equation (2) to obtain the maximum revenue Luci can make selling cookies in one day, we have:

Revenue = (−2000 * 1)^2 + (4000 * 1)

Revenue =  −2000^2 + 4000

Revenue = 4,000,000 + 4000

Revenue = 4,004,000

Therefore, the maximum revenue Luci can make selling cookies in one day is $4,004,000.


Related Questions

A rectangular field is 10m longer than wide. The area of the field is 2000m². Find the perimeter of the field.

Answers

Answer:

180m

Step-by-step explanation:

Let L = length of field,

W = width of field,

A = field area = 2000 m^2

Lenght = Width + 10m

Let Lenght= x

Width=y

A = X ×Y = (Y + 10)Y= 2000

Y^2 + 10Y- 2000 = 0

Solving using Quadratic eqn with plot

Y= 40 or -50 but we go for the positive root

Width=40m

Length= 40m +10m

= 50m

Perimeter= 2(l+w)

=2(50+40)

180m

Hence, the perimeter is 180 m

CHECK THE ATTACHMENT FOR THE QUADRATIC PLOT

There were 12 boys and 20 girls in a chorus. What is the ratio of boys to girls? 3 : 8 5 : 8 3 : 5 5 : 3

Answers

Answer:5 : 3

Step-by-step explanation:

Answer:

12:20

Step-by-step explanation:

12 boys: 20 girls

Bonnie's favorite game at the arcade is Can Em Down. In the game, players earn 7 points for each can they knock down. Bonnie earned 84 points in her best game. Let c represent how many cans Bonnie knocked down. Which equation models the problem?

Answers

Answer:

c = (total points earned in best game / points per can knocked down)

c = 12

Step-by-step explanation:

Given that :

Points earned per knockdown = 7

Total points earned in best game = 84

Number of cans knocked down, c

c = (total points earned in best game / points per can knocked down)

c = 84/ 7

c = 12

Please help me thanks please

Answers

Answer:

3054

Step-by-step explanation:

4/3 πr³

4/3 × 3.14 × 9³

3054

Rahul's monthly income is * 25,000, out of
which he spends 20% on accommodation,
50% on household expenditure, 15% on
transportation and the rest is saved. How
much money does he save?​

Answers

Answer:

3750

Step-by-step explanation:

25,000 = 100%

20% accomodation

50% household

15% transportation

Saved=100%-20%-50%-15%=15% left saved

15% of 25,000=3750

_______________________________

= 20% + 50% + 15%= 85%= 85% × $25,000 ÷ 100= $21,250= $25,000 - $21,250= $3,750RAHUL SAVES $3,750 EVERY MONTH

_______________________________

The ratio of a larger rectangle to a smaller rectangle is 2:1. If the perimeter of the smaller rectangle is 15 ft, what is the perimeter of the larger rectangle?

Answers

Answer:

perimeter of the larger rectangle would be 30, since the ratio of the larger rectangle is double the ratio of the small rectangle, you would have to double the peri. of the small rect. to get the peri. of the large rect.


Claire and Malia are training for a race.
a. Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? in 2 1/2 hours?

b. Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? in 2 1/2 hours?
c. On Tuesday, Claire and Malia both ran for 2 1/2 hours. Who ran the farther distance?

Answers

Answer: hello ima say first off Malia is my name lucky me my name is being used but for more serious matters... hope this helpssss

b)Claire runs 10km in 1 hour. In 2-1/2 hours, she runs (2-1/2 x 10) = 25 km.

c) Malia runs 5 miles in 1 hour

Step-by-step explanation:

why do you have to make people pay if they had question about math

Answers

Answer:

because it's a way to work people out of money and then they get the pay check you just get the problem

Step-by-step explanation:

Look at question 5 not the other ones and just answer please

Answers

They will each spend 40.94$ but all together they spent 204.70$ Hope I helped;)

Select the correct answer.
ОА
Which equation represents the line that is perpendicular to y = $5 + 23 and passes through (-40,2012
- 15
y = - = - 30
= 5 + 52
= - 56
ОВ.
Ос. y =
OD.

Answers

Answer:

The question is written kinda bad, so i take the next two assumptions:

The original line is:

y = 5*x + 23

And we want to find a perpendicular line that passes through the point (-40, 2012)

Suppose that we have a linear equation:

y = a*x + b

A perpendicular line to this one, will have a slope equal to -(1/a)

Then a random perpendicular line to the one above, is:

y = -(1/a)*x + c

In this case, we start with the line:

y = 5*x + 23

Then the family of perpendicular lines to this one, will be like:

y = (-1/5)*x + c

Where c can be any real number.

Now, we also want this line to pass through (-40, 2012)

This means that when x = -40, the value of y must be 2012

We could replace these values in our equation above and solve it for c.

2012 = -(1/5)*(-40) + c

2012 = 40/5 + c

2012 = 8 + c

2012 - 8 = c = 2004

Then the equation is:

y = -(1/5)*x + 2004.

Please help me! ( Please) will mark brainiest

Answers

Answer:

Option 2

Step-by-step explanation:

Option 2,all the given sets have their members occuring

GUYS PLEASE HELP HELPING ME GIVES U 50 POINTS PLEASE HELP ME


Y = 1/1 x + 1

Answers

Is it a fraction? Or what

Answer:

m = 1

b = 1

Step-by-step explanation:

y = mx + b:

y = 1/1x + 1

y = 1x + 1

m = 1

b = 1

how do you factor 3y^3 - y^2 -9y + 3​

Answers

Answer:

(3y - 1)(y - √3)(y + √3)

Step-by-step explanation:

Factor by grouping.

3y³ - y² - 9y + 3

= (3y³ - y²) - (9y - 3)

= y²(3y - 1) - 3(3y - 1)

= (3y - 1)(y² - 3)

= (3y - 1)(y - √3)(y + √3)

If 1 Euro is equivalent to $1.475 in US dollars, then approximately how many Euros would $50 U S be worth?​

Answers

Answer:

33.89

Step-by-step explanation:faci regula de 3 simpla

1 euro....... 1,475 usd

X euro....... 50 USD => x = 50/1.475 = 33,89

Helllppppppppppp plsssss

Answers

no solution because the 8w canceles out snd then it would be 5=4 which is incorrect
w=ø
i took this and got it correct

Hanna has 24 candies. She wants to split all her candies equally into bags to give to her friends. How can she spilt them?

Answers

Answer:

Divide

Step-by-step explanation:

Divide 24 into how many friends there are.

Answer:

8 * 3 = 24

Step-by-step explanation:

Please help me ASAP!! Worth 30 points

Answers

Answer:

Step-by-step explanation:

p≤15/2

Please help answer the following question

Answers

Answer:

D

Step-by-step explanation:

The unmarked angle of the triangle is also 40o. The triangle is marked with two equal sides (isosceles).

<2 + 40 + 40 = 180            Combine the left

<2 + 80 = 180                    Subtract 80 from both sides

<2 = 180 - 80

<2 = 100 degrees.

That's not the answer. We have to solve for x

<2 = x + 106

100 = x + 106       Subtract 106 from both sides

100 - 106 = x

x = - 6

Which of the following equations is equivalent to 4.37p + 7.5 = -6.092?
A. 437p + 75 = -6092
B. 437p + 750 = -6092
C. 437p + 750 = -692
D. 4370p + 7500 = -6092

Answers

The answer is D)
Everything is multiplied by 1000

Answer:

D

Step-by-step explanation:

write an equation for the n th term of the arithmetic sequence then find a10 -6,-9,-12,-15

Answers

Answer: [tex]a_{10}[/tex] = -33

Step-by-step explanation:

-6, -9, -12, -15

The common difference is -3

d = common difference

Arithmetic sequence formula:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1) d

[tex]a_{10}[/tex] = -6 + (10 - 1) -3

[tex]a_{10}[/tex] = -6 + 9 × -3

[tex]a_{10}[/tex] = -6 - 27

[tex]a_{10}[/tex] = -33

Answer:

its -30

Step-by-step explanation:

because -15-15=-30

The equation A=p+prt is ued to find the accumulated amount, A, of an investment with principle, P, a certain interest rate, r, and over time, t. What is the value for r, after the equation is rearranged?

A. r= A+p/ pt
B. r= A-p/ pt
C. r= A-1/ t
D. r= A-p-pt

Answers

Answer:

B. r = A-p/pt

Step-by-step explanation:

We can rearrange the equation to make [tex]r[/tex] the subject of the equation:

[tex]A=p+prt[/tex]

[tex]A-p = p+prt-p[/tex]

[tex]A-p = prt[/tex]

[tex]\frac{A-p}{pt} = \frac{prt}{pt}[/tex]

[tex]r = \frac{A-p}{pt}[/tex]

∴ Option B is correct

Hope this helps :)

What is the average speed of a commercial
jet that travels from New York to Los I
Angeles (4800 km) in 6.00 hours?

Answers

Answer:

800 km per hour.

Step-by-step explanation:

4800km/6h = 800kmph

4800/6 = 800kmh ........

It costs $320 for a a camping trip. It costs $50 to park your vehicle for the entire trip and $90 per day for the camping site How many days was the camping trip?​

Answers

Answer:

3 days

Step-by-step explanation:

320-50 = 270

270/90 = 3

Height in meters 15 30 45 60 75 90 105
Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.598

1. Determine a function that could be used to model the data in the table.
Make sure to use h for height and d for distance.

2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round answer to the nearest whole number

3. Round answer to the nearest whole number
A building is 16 km away. What height does the balloon have to rise for the building to be visible?

Answers

Step-by-step explanation:

....................

pls help me on this question :-

Answers

Answer:

We conclude that the rule for the table in terms of x and y is:

y = 3x+2

Step-by-step explanation:

The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.

We know the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept.

Taking two points

(-2, -4)(-1, -1)

Finding the slope between (-2, -4) and (-1, -1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]

[tex]m=3[/tex]

We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.

Taking another point (0, 2) from the table.

It means at x = 0, y = 2.

Thus, the y-intercept b = 2

Using the slope-intercept form of the linear line function

y = mx+b

substituting m = 3 and b = 2

y = 3x+2

Therefore, we conclude that the rule for the table in terms of x and y is:

y = 3x+2

Gail has $5,500 that she wants to put in a new savings account. She is
considering two banks that are very similar. One difference she notices
are the interest rates:
• Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
.
Based on interest, which bank would you suggest Gail pick if she plans to
have her money in the account for 15 years?

Answers

Answer: Neighborhood Bank - 0.65% interest, compounded weekly

Step-by-step explanation:

The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

Given that Gail has $5,500 that she wants to put in a new savings account.

Neighborhood Bank - 0.65% interest, compounded weekly

Beautiful Day Bank - 0.65% interest, compounded daily

Thus, $5,500 x 0.65% = $35.75

$35.75 a day times 360 days = $12870

$12870 times 20 = $257,400.

$257,400 times 20 = $514800 (16.2mil)

Hence, The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.

Learn more about compound interest here:

https://brainly.com/question/1329401

#SPJ2

Gabriel can't decide whether to get a 16 oz can of creamy corn that sells for $1.09, or the 32 oz that's on sale for 1.89 which is a better but 16 oz or 32 oz ?

Answers

The 32 oz can is better because theres more and its less cheaper compared to the 16 oz can

What property is this? -5 + 5 = 0

Answers

Answer:

Inverse Property of Addition

Step-by-step explanation:

Any problems that will go into the inverse property of addition must equal 0.  In this case, the equation above shows two of the same numbers with opposite signs in which that will equal to zero.

Can someone help pleaseee!!!

Answers

Step-by-step explanation:

6) D= [-1,4]

R= [-2,3]

7) D= [-3,4]

R= [-5,7]

8) i do not know how to read this...

1.) domain={-2,1,2,3} range={-4,-1,2,1}
Function=yes
2.)domain={-3,3,0,4}
Range={-5,0,1,7}
Function=No
3.) domain={3,6,12,18}
Range = {5,7,8,10}
Function= No

Hope this helps

Have a great day/night

The unit rate for 65 miles in 2.7 gallons is___ miles per gallon. (Round your answer to the nearest hundredths)

Answers

Answer:

The unit rate for 65 miles in 2.7 gallons is 24.07 miles per gallon.

Step-by-step explanation:

Given that:  

65 miles in 2.7 gallons

We have to find the unit rate.

Unit rate is a rate to compare quantities in which one quantity is 1.

Unit rate = [tex]\frac{65}{2.7}[/tex]

Unit rate = 24.07 miles per gallon.

Hence,

The unit rate for 65 miles in 2.7 gallons is 24.07 miles per gallon.

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