Dave owns Dave's Donut Shop and must make decisions about how much to charge for donuts. As a businessowner he wants to attract a lot of customers as well as make a lot of money (revenue). The amount of revenue Dave makes can be modeled by the equation R = (p-1)(200 - 40p), where p represents the price of one donut and R represents the total revenue. Use as many strategies as you can to figure out the questions below. 0 At what price will Dave break even (make no revenue)? How much should Dave charge to maximize his revenue? What is the most money Dave can make? Dave made $100 from donut sales. How much must he have charged per donut?​

Answers

Answer 1

Answer:

2430

Step-by-step explanation:

Answer 2

The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:

The break even price is at $1 and $5To maximize his revenue, he as to charge $3The most money he can make is $160He charged $4.225 or $1.775 to make $100.

Given that:

[tex]R = (p - 1)(200 - 40p)[/tex]

To calculate the break even, we set R to 0.

So, we have:

[tex](p - 1)(200 - 40p) =0[/tex]

Split

[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]

Solve for p

[tex]p = 1[/tex] or [tex]40p = 200[/tex]

Divide by 40 in the second equation

[tex]p=1[/tex] or [tex]p =5[/tex]

The break even price is at $1 and $5

To maximize his revenue, we have:

[tex]R = (p - 1)(200 - 40p)[/tex]

Open bracket

[tex]R = 200p - 200 - 40p^2 + 40p[/tex]

Rewrite as:

[tex]R = - 40p^2+ 200p + 40p- 200[/tex]

[tex]R = - 40p^2+ 240p- 200[/tex]

Differentiate

[tex]R' = -80p + 240[/tex]

Equate to 0 and solve for p

[tex]-80p + 240=0[/tex]

[tex]-80p =- 240[/tex]

Divide by -80

[tex]p = 3[/tex]

To maximize his revenue, he as to charge $3

The most money he can make is calculated as:

[tex]R = (p - 1)(200 - 40p)[/tex]

Substitute [tex]p = 3[/tex]

[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]

[tex]R = (3 - 1)(200 - 120)[/tex]

[tex]R = 160[/tex]

The most money he can make is $160

The charges he sold when he made $100 is:

[tex]R = - 40p^2+ 240p- 200[/tex]

Substitute 100 for R

[tex]- 40p^2+ 240p- 200=100[/tex]

Collect like terms

[tex]- 40p^2+ 240p- 200-100=0[/tex]

[tex]- 40p^2+ 240p- 300=0[/tex]

Divide through by -20

[tex]2p^2- 12p+ 15=0[/tex]

Using quadratic formula, the solution of p is:

[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]

So, we have:

[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]

[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]

[tex]p = \frac{12 \± 4.90 }{4}[/tex]

Split

[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]

[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]

[tex]p = 4.225\ or\ p = 1.775[/tex]

He charged $4.225 or $1.775 to make $100.

Read more about revenue and price at:

https://brainly.com/question/11859895


Related Questions

4cm
2cm
6cm
Find the area please

Answers

Step-by-step explanation:

ummm where is the pic? like bruh

Answer:

48 cm

Step-by-step explanation:

Multiply 4x2x6 and get the answer of 48 cm.

20 points & Brainliest

Why are rotations a rigid motion?

Answers

Answer:

RC,\α is a rigid motion.

Here C, is the rotacenter which is the fixed point and around C all other points move in a fixed distance by the definition of rotation.

the motion follows in a circularmanner with C as the center.

consider a point Q which changes to Q1 after rotation by an angle\alpha

Step-by-step explanation:

When considering rotational motion and subsequently rotational mechanics every point on the body must have same angular velocity and angular acceleration. If the body is not rigid different points on the body will have different angular velocity and angular acceleration.

Is 8.25 greater, equal or less than 8.250

Answers

Answer:

If this is basic mathematics its =

Step-by-step explanation:

You won't have to worry about sig figs until chemistry.

Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.

Answers

Answer:

Responds to my friend

Decision rule

 Fail to reject the null hypothesis

Conclusion

There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian  

Step-by-step explanation:

Here we are going to consider this question

For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.

Here we are going to be solving the hypothesis test problem and we will be making use of the p-value method

From the question the we are told that

     The first sample size is  [tex]n_1 = 380[/tex]

       The second sample size is [tex]n_2 = 205[/tex]

       The number of California residents that are vegetarian is [tex]k = 109[/tex]

       The number of New Hampshire resident that are veterinarian is [tex]u = 39[/tex]

Generally the sample proportion for California residents is

      [tex]\^ p_1 = \frac{k}{n_1}[/tex]

=> [tex]\^ p_1 =\frac{109}{380}[/tex]

=> [tex]\^ p_1 =  0.2868 [/tex]

Generally the sample proportion for New Hampshire residents is

     [tex]\^ p_2 = \frac{39}{205}[/tex]

=>  [tex]\^ p_2 = 0.1902 [/tex]  

The null hypothesis is  [tex]H_o  :  p_1 -p_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  p_1 -p_2 > 0[/tex]

 Generally the test statistics is mathematically represented  as

[tex]t  =  \frac{(\^ p_1 - \^ p_2 ) -0}{\sqrt{ \frac{\^ p_1 (1-\^p_1 )}{n_1}  + \frac{\^ p_2 (1- \^p_2)}{n_2} } }[/tex]

=> [tex]t  =  \frac{( 0.2868 - 0.1902) -0}{\sqrt{ \frac{0.2868 (1-0.2868 )}{380}  + \frac{0.1902(1- 0.1902)}{205} } }[/tex]  

=>  [tex]t  =  0.036[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df  =  n_1 + n_2 -2[/tex]

=>    [tex]df  =  380 + 205 -2[/tex]

=>    [tex]df  =  583/tex]

Generally the probability of  [tex]t  =  0.036[/tex] at a degree of freedom of   [tex]df  =  583/tex]  from the t- distribution table is  

      [tex]p-value  =  P(t >  0.036) =  0.48564732[/tex]

Let take the level of significance to be [tex]\alpha = 0.05[/tex]

So from the values obtained we see that  [tex]p-value  >  \alpha[/tex] hence the decision rule is  

   Fail to reject the null hypothesis

The conclusion is

  There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian

Add parentheses to make 6-9-2+3x6 equal to 17

Answers

Answer:

6-(9-2)+3x6

Step-by-step explanation:

hope it helps

What is 4/9 - 1/3 =
help

Answers

1/9

Hope this helps! :))

Answer:djjdd

Please I love free points secy

Step-by-step explanation:

Ok but guys is 10009

Compute the mean, median, and mode for the following three sets of scores saved.

Score 1 Score 2 Score 3

3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123

Answers

Answer/Step-by-step explanation:

Score 1:

3, 7, 5, 4, 5, 6, 7, 8, 6, 5

Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]

Median: order the data from least to the greatest.

3, 4, 5, 5, 5, 6, 6, 7, 7, 8

The median is average of the fifth and sixth data value in the data set

Median = (5 + 6)/2 = 11/2 = 5.5

Mode = value with the highest frequency = 5

Score 2:

34, 54, 17, 26, 34, 25, 14, 24, 25, 23

Mean = sum of all values/10

Mean = 276/10 = 27.6

Median: order the data set from min to max.

14, 17, 23, 24, 25, 25, 26, 34, 34, 54

The median is average of the fifth and sixth data value in the data set

Median = (25 + 25)/2 = 50/2 = 25

Mode = 25 and 34 (both have frequencies of 2)

Score 3:

154, 167, 132, 145, 154, 145, 113, 156, 154, 123

Mean = sum of all values/10

Mean = 1443/10 = 144.3

Median: order the data set from min to max.

113, 123, 132, 145, 145, 154, 154, 154, 156, 167

The median is average of the fifth and sixth data value in the data set

Median = (145 + 154)/2 = 299/2 = 149.5

Mode = 154

Is f^-1(x) = x/9 - 5/9 a function?

Answers

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:

⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:

⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

Please help I would appreciate

Answers

Answer:

the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative

How many times greater is the product of 4 x 300 than the product 4 x 30

Answers

Answer:

10 times bigger

Step-by-step explanation:

because if you do 4 times 300 thats 1200

and if you do 4 times 30 then you get 120

and 120 times 10 is 1200 so there you go.

HOPED THIS HELPED!!!!!!!!! :D

Please find the area and circumference of
the circle below

Answers

Answer:

area: 153.86

Circumference: 43.96 :D

Step-by-step explanation:

Four college friends (one is named Cathy) were all accepted to a graduate school.

Answers

Answer:

Wow that is great

Step-by-step explanation:

is there a question? uhhhmmmmm

lines A and B are parallel lines find the measures of angle 1​

Answers

Answer:

33

Step-by-step explanation:

alternate angles are equal

see attached

The measure of ∠1 is 33° .

What is alternate interior angles?

When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.

According to the question

As given , lines A and B are parallel lines

therefore ,

∠1 = 33°  

∠3 = 57°

they are between parallel line and opposite of transversal line

So, they are alternate interior angles and are equal .

Hence, The measure of ∠1 is 33°  .

To know more about alternate interior angles here:

https://brainly.com/question/14693114

#SPJ2


The following relation is a function: {(-8, – 9), (-4, 5), (1, 5), (4, 7)}

Answers

Answer:

Yes

Step-by-step explanation:

The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.

Hope this helps. Please mark brainliest.

Factorise fully
-14x - 8

ease do quick, will mark brainiest!​

Answers

Answer:

-2( 7x+4)

Step-by-step explanation:

-14x - 8

Factor out -2

-2*7x -2*4

-2( 7x+4)

Answer:

2(-7x -4)

Step-by-step explanation:

[tex] - 14x - 8[/tex]

Write -8 as -4×2

[tex] - 14x + 2 \times 4[/tex]

Factor out common term : 2

[tex]2( - 7x - 4)[/tex]

a bottle of hand lotion is on sale for $2.25. if this price represents a 50% discount from the original price, what is the original price to the nearest cent?

Answers

Answer:

4.50

Step-by-step explanation:

2.25 plus 2.25 aka half

HELPPPPP!! Is the expression 6 + 3 = 9 an equation ? Explain.

Answers

Answer:

No, because an expression is already solved and an equation is where you have to solve it

Step-by-step explanation:

Answer:

No as said you have to solve and equation yet an expression is already solved for your viewing.

Step-by-step explanation:

Please help ASAP.
Will mark brainliste

Answers

Answer:

i think its c but it could also be d sorry if im wrong T-T

Step-by-step explanation:

a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s​

Answers

Answer:

23.7m

Step-by-step explanation:

Given parameters:

       Time taken = 2.2s

     Acceleration due to gravity = 10m/s

Unknown:

Depth of the well  = ?

Solution:

To solve this problem, we simply apply one of the motion equations;

        S = ut + [tex]\frac{1}{2}[/tex] gt²

    where S = depth of the well

                u = initial velocity

                t = time taken

               g = acceleration due to gravity

 Input the parameters and solve for S;

   Note initial velocity = 0;

     S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²

    S = 23.7m

On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park

Answers

4 ice cream shops
hope this helps!

Answer:

( 4 )

Step-by-step explanation:

Hope this helps

also go to g-mail to check out my

Type in Brandon Acevedo

okay


Solving a System of Linear Inequalities

Given the system of inequalities:
4x - 5y = 1
Which shows the given inequalities in slope-intercept
form?

Answers

Slope is 4/5
Y intercept is 0,-1/5

Answer:

y = 4/5x -1/5

Step-by-step explanation:

4x -5y = 1

-5y = -4x + 1

5y = 4x - 1

y = 4/5x - 1/5

Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour

Answers

Since there is no table given I will assume that what you want me to do is to show that Unit rate of Brandon’s biking. SO here are the data that we need: => 8 and ½ miles = 8.5 miles => ½ hour = .5 hours or 30 minutes Now, let’s solve for the unit rate => SO in every 30 minutes he bikes around 8.5 miles => Since 1 hour is equals to 30 minutes, simply multiply 8.5 by 2 => 8.5 * 2 = 17miles => 17 miles / hour
Hope this helps:)

Please Help! :(
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an algebraic equation whose solution is the number of players, p, on each team.

Write the Equation and the answer please

Answers

Answer: there is 90 players in total

Step-by-step explanation:

6x 2= 12

78 + 12 = 90

Answer:

x=15

Step-by-step explanation:

6(x−2)=78 (or 6x−12=78), x=15

Please help it would help me alot!!!

Answers

Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23

Step-by-step explanation:

The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.

Answers

Answer:

c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large

Step-by-step explanation:

The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.

So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large

The students can make 6 tickets from each sheet of paper. How many sheets of paper. How many sheets of paper are needed for 125 tickets?

Answers

Answer:

20.8333333

Step-by-step explanation:

6 x 20.8333333 = 125

I toss a coin 60 times. It lands on tails 24 times. What percent of the time does it land on tails?

Answers

40% is my answer, hope it helps

When is it appropriate to model data with a liner function? Give an example of real world data that can be modeled with a linear function. Include the linear function and a sample of the data

Answers

Answer:

The linear function would be:

C = 10t + 2

where C is the cost and t is time in months

Step-by-step explanation:

HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!

Answers

move point (-5,0) to (-4.0) and move point (7,1) to (8,1) so that the points pass the vertical line test. note that this points can be moved to others places too, these are just a few examples

Identify the coefficients: -3h - 2h + 6h +9

Answers

Answer:

-23h

Step-by-step explanation:

It’s -3, 2, 6 is the answer
Other Questions
(x - 3)? > -3(x + 2) for x = 3 It will make my life if you help me with this forealzez What is the range of the function graphed below? Which of the following best describes the Articles of Confederation?A. document outlining how the British government ignored the colonies' rightsB. The first plan for the government of the original thirteen statesC. John Locke's writings on the separation of government powerD. James Madison's document outlining the principles of the US government 13. Which of the following is NOT an example of verbal irony?(1 Point)O A left hand person is called a "Lefty"O A tall person is called a "Shorty"An arrogant criminal gets caught/O A best selling writer's latest novel is a flop. 1. The storm destroyed the sandcastle that we (build) had built. 2. He (not / be) ______ to Cape Town before 1997. 3. When she went out to play, she (do / already) ______ her homework. 4. My brother ate all of the cake that our mum (make) ______. 5. The doctor took off the plaster that he (put on) ______ six weeks before. 6. The waiter brought a drink that I (not / order) ______. 7. I could not remember the poem we (learn) ______ the week before. 8. The children collected the chestnuts that (fall) ______ from the tree. 9. (he / phone) ______ Angie before he went to see her in London? 10. She (not / ride) ______ a horse before that day due soon please help what is the scientific name for powdered pepper A grocery store sells cheese for $0.48 a pound. What would be the price for 6 pounds of cheese? Help me !!! Solve: 3b 2 = 7 what are some of the factors contributing to which candidate wins a presidential election? Find the remainder when f(x) is divided by g(x) given that f(x) = 4x3 5x2 3x + 2 and g(x) = x 3. What did we learn about the character Curley in chapter 2 and why is it important to the story (Of mice and men)? Explain Which of the following statements is FALSE?a.Colonel Jos de las Piedras was sent by the Mexican government to monitor the activities in Texas after the Fredonian Revolt.b.Samuel Norris was the son-in-law of Haden Edwards and was voted into the position of alcalde for the Nacogdoches colony. c.Martin Parmer helped the Edwards brothers take over an old stone fort in Nacogdoches where they wrote a Declaration of Independence.d.Peter Ellis Bean negotiated with Cherokee leaders on behalf of the Mexican government prior to the Fredonian Revolt.. Recall how the author of "The German Gas Attack at Ypres" describes the scene of French soldiers dying from exposure to poisonous gas. How do his descriptions suggest he feels about the topic? How the people around you make or unmade you as a person? Describe any five modern application areasof computer What caused most of the diseases and deaths in Plymouth? Which of the following shows an unsaturated fatty acid? Calculate the area of the trapezoid.12 mm5 mm9 mm________square millimeters