A fast-food restaurant has a cost of production C(x)=12x+114 and a revenue function R(x)=6x. When does the company start to turn a profit?

Answers

Answer 1

Step-by-step explanation:

Given data

C(x)=12x+114

R(x)=6x.

The company will start to run on profit just when revenue equals the production cost, that is

C(x)=R(x)

equating the two expressions we have

12x+114=6x

solving for x we have

12x-6x+114=0

6x+114=0

6x=-114

x=-114/6

x=-19

Hence the company will start to run on proft when they start to produce above 19 items

Answer 2

Profit is the difference between the revenue and cost functions

A production greater than 19 will turn a profit

From the question, we have:

[tex]\mathbf{R(x) = 6x}[/tex]

[tex]\mathbf{C(x) = 12x + 114}[/tex]

So, the profit function is:

[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]

Substitute known values

[tex]\mathbf{P(x) = 6x - 12x - 114}\\[/tex]

[tex]\mathbf{P(x) = - 6x - 114}[/tex]

Equate to 0

[tex]\mathbf{- 6x - 114 = 0}[/tex]

Collect like terms

[tex]\mathbf{- 6x= 114}[/tex]

Divide both sides by -6

[tex]\mathbf{x= -19}[/tex]

The above equation means that: A production greater than 19 will turn a profit

Read more about profit functions at:

https://brainly.com/question/16866047


Related Questions

Plz answer 1st RIGHT gets BRAINLY!!!!! PLUS 10 POINTS!!!!

Answers

Answer: I think the answer is B.) 570

the answer is C.) 760

(6-x3)5=45 Please help

Answers

the answer is x equals -1

What is 5/8 of $16 restaurant bill=
What is the answer

Answers

Answer:

$10

Step-by-step explanation:

16 * 5 / 8 = 16 * 0.625 = $10

Jillian is at her favorite clothing store and has found a pair of pants that are on sale for 20% off the regular price. They
are regularly $28. How much will be taken off the price?
$4,60
$8.00
$6.00
$5.60

Answers

$5.60 is correct. Multiply $28 by .20

Answer:

5.60 it answer D hope it helps ~••~

I need help ASAP. thank you in advance!

Answers

Answer:

True, depending on where f(x) is located

Step-by-step explanation:

Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please

Answers

Answer:

what questions need to be done? We need to know the problems before we answer them. :/

Graph the line that passes through the points (-5,2) and (6,2) and determine the equation of the line.​

Answers

Answer:

y = 2

Step-by-step explanation:

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

help with math, please
will give 100 points

Answers

Answer: y=x10
Because: i looked it up

Answer: y=x10

Step-by-step explanation:

Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?

Answers

Answer:

4 of the conspiracy theories were true

Step-by-step explanation:

Percentages

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

Wendy and Mini earn $38 per week for delivering magazines. Wendy worked for x weeks and earned an additional total bonus of $15 Mini worked for y weeks. Which expression shows the total money, in dollars, that Wendy and Mini earned for delivering magazines

A: 53x + 38y
B: 38 + 15 + 38y
C: 38 - 15 + 38y
D: 38x + 53y

Answers

A. Let me know if this helps❤️

suppose 123 people voted for danny if 55 of the votes from girls to votes for boys explain

Answers

Answer:

Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes from boys? If 55 were girls then there were 123-55 = 68 boys. Thus the ratio would be 55 girls to 68 boys, or 55/68.

Answer:

60

Step-by-step explanation:

polynomial time............

Answers

Answer:

I'm pretty sure its b

Step-by-step explanation:

I plotted each one to make a polynomial graph and b was the one that had the x-intercepts at -6, 1, and 4.

hope this helped a little :))

I need somw help on this pls ^^

Answers

Answer:

100=9s+10

there are 10 students on each bus

Research shows that many banks are unwittingly training their online customers to take risks with their passwords and other sensitive account information, leaving them more vulnerable to fraud (Yahoo, July 23, 2008). Even web-savvy surfers could find themselves the victims of identity theft because they have been conditioned to ignore potential signs about whether the banking site they are visiting is real or a bogus site served up by hackers. Researchers at the University of Michigan found design flaws in 78% of the 214 U.S. financial institution websites they studied.

Required:
Is the sample evidence sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud? Use a 5% significance level for the test.

Answers

Answer:

Decision rule

Fail to reject the null  hypothesis

Conclusion

The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  214

   The sample proportion is p = 0.78

   The level of significance is [tex]\alpha = 0.05[/tex]

Generally the population proportion is mathematically represented as

      [tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement  ''three out of four'' in the question)

The null hypothesis is [tex]H_o : p = 0.75[/tex]

The alternative hypothesis [tex]H_a : p > 0.75[/tex]

Generally the test statistics is mathematically represented as

     [tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]

=>    [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]

=>  [tex]z = 1.01[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  = P(Z > z )[/tex]

=> [tex]p-value  = P(Z > 1.01 )[/tex]

From the z-table  

    [tex]P(Z > 1.01 ) = 0.15625[/tex]

So

    [tex]p-value  = 0.15625 [/tex]

From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis

 Therefore we can conclude that the sample evidence is  not  sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

Which shows associative property?
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)

Answers

Answer: the answer is the second one

Step-by-step explanation:

9514 1404 393

Answer:

3(ab) = (3a)b . . . associative property of multiplication(3 + a) + b = 3 + (a + b) . . . associative property of addition

Step-by-step explanation:

The "associative property" can apply to any number of operations. The ones we're usually concerned with are multiplication and addition.

Basically, the associative property says you can regroup elements that have the same operation being performed on them. Effectively, that regrouping lets you perform the sequence of operations in whatever order you may choose.

For multiplication, the associative property can be written:

  (ab)c = a(bc)

This form matches the first of the choices shown:

  3(ab) = (3a)b

__

For addition, the associative property can be written:

  (a+b)+c = a+(b+c)

This form matches the second of the choices shown:

  (3 + a) + b = 3 + (a + b)

__

If you must select one answer, you need to know which associative property you're talking about.

g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.

Answers

Answer:

Main difference between circle & ellipse

Step-by-step explanation:

Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel

Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets

Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question

Explanation:

Cricle is the most rounded shape. Its different from ellipse because it has the radius, chord  and diameter.cricle can be drawn easily with compass and ellipse is oval shape.cricle contains two types perimeter cricle and normal cricle. Ellipse has also two types partial ellipse and normal ellipse.Cricle does not  have major and minor axis length both are different.

Thus we conclude that cricle is totally different from ellipse

To know more about cricle and ellipse

https://brainly.com/question/9689499

Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5

Answers

The answer would be A because 5 goes to two y-values, instead of just one.
THE ANSWER IS A........

Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?

Answers

1 1/3 every single mile

Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.

Answers

Gshhebehbebe hebebeb bebebeb benenne hwbebeb hebebvecehalonw wine wow. Nennen

DATE:
a. Aling Luz bought 3 yards of linen cloth
which cost pnp 72. per yord & She gave Php 10o.
oo to cashier How much change will she tecive.​

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't well written but let me help out. I saw a similar question.

Example 1: Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard. She gave Php 1000.00 to the cashier.How much change will she get?

Since we are informed that Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard, the amount she'll pay will be:

= 3/8 × 72

= Php 27

Since she gave the cashier Php 1000, her change will be:

= 1000 - 27

= Php 973

What similarity rule can be used to prove the triangles are similar . plz help

Answers

Answer:

SAS

Step-by-step explanation:


Caleb is saving money to buy a bike next year. So far he has saved $150. Write an inequality to show how much he needs to
save each month for the next year so he has at least $800 to spend on the bike, then solve the inequality

Answers

He needs to save > or = to $800 sorry if this is wrong I’m a little rusty on this math topic

Where is the vertex of f(x) = -2x - 3| +6.4?

Answers

(-2x-19.2) I think that is the answer :(

ANSWER ASAP! NEED HELP

Answers

Can anyone answer my question I’ve already posted like 3 pictures of it and no one is answering it please help me :(

If a, b and c are positive integers for which (a,b,c) is the only
ordered triple such that 6a +9b + 20c = 61, then what is
a+b+c?

Answers

If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.

So consider two cases:

• If c = 2, then we're left with 6a + 9b = 21.

• If c = 1, then 6a + 9b = 41.

We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.

This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.

What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x – 12? (1 point)

Answers

6 because it’s one of the three most common

PLEASE HELP!!!!


Drag each tile to the correct box.
Match each savings plan to its description.

401(k)
Roth IRA
403(b)
529 plan
health FSA

a tax-deferred retirement savings plan available to employees of some nonprofit
organizations and educational Institutions

a tax-advantaged college savings plan

an employer-offered retirement account that accepts contributions from
employees and employers

a tax-advantaged savings account available through employers to pay for
qualified medical expenses

a retirement Investment account managed by individuals, deposits are taxable,
but funds are tax exempt when withdrawn at retirement

Answers

Answer:

403(b)

529 plan

401(k)

health FSA

Roth IRA

Step-by-step explanation:

I looked it up. Good luck :)

Answer:

401(b)

529 plan

401(k)

health FSA

Roth IRA

Step-by-step explanation:

helpp meeee will award brainliest

Answers

What’s the question?

Change the equation from standard form into vertex form by completing the square.

y equals x squared plus 14 x plus 53

Answers

Hi hi I hope you know that I was wondering if you wanna was a way you can get me to

Please I need some answers a few is fine

Answers

I may be wrong but in order from least to greatest
On A 36 comes before 4 but 36 is greater than 4 so it can’t be A

On B 19 comes before 15 so it can’t be B

On C 81 is bigger than 11 but 81 comes first

So that leaves D. I may be wrong but from process of elimination it leaves D
i think it is D, A, B, C
Other Questions
Plowing is an example of what Energy?a. Kinetic Energyb. Potencial Energy How are your relationships with family members similar to your relationships with friends and how are they different? What do natural processes do? Give examples of these processes. Jordan has 3 blue shirts, 4 red shirts and 6 orange shirts. She chooses a shirt for Monday and places it in her suitcase. Then, she chooses a shirt for Tuesday. What is the probability that she choose a red shirt for Monday and an orange shirt for Tuesday? You see a boat filled with people, yet there isnt a single person on board. How is that possible? Find the equation of the line of the below: Fishing, shrimping, and shippingMedical industryPetroleum industryAerospace industryWhich of these would be the best title for the list above?A.Economic activities of the Coastal PlainsB.Impact of Tourism on the Texas EconomyIC.Social Activities of the North Central PlainD.Career Opportunities in the Mountains and Basins RegionsPLEASE HURRY!! 5 advantages of storing oil underground in salt dome? Explain what the 4/4 in this example means? Find a counterexample to show that the given conjecture is false: The sum of two positive even integers is always an odd integer. What does the underlined phrase mean in the following sentence?Sie kommt aus Brasilien.She is fromHe is fromWe are fromThey are from Name four innovations in the mid-18th century that made producing cloth faster and required far less human labor 7/8 divided by (-13/7) The point of view that London uses in White Fang helps the reader understand the perspectives ofthe people in the story, not the animals.the animals in the story, not the people.both the people and the animals in the story. both the characters and the author of the story. The League, like Local 25, had expected a turnout of four or five thousand. They were bowled over by this army, utterly unprepared for it. They had organized strikes in the garment trade, small ones, usually confined to a single shop, but never before had they undertaken something on so vast a scale. They might fail, might be laughed at by the whole of New York as well as John Dyche and the ILGWU men, and all the same they knew this was the challenge they'd been hoping for their chance to show the world they were more than highbrow butters-in, just as the shirtwaist makers were more than irresponsible little girls.What conclusion can be drawn by connecting knowledge of the historical time period with information in the text? The items Pedro has selected at his local hardware store have a total cost of $130 before tax. If the sales tax is 8.25%, which is closest to the amount of sales tax Pedro canexpect to pay? What is considered revenue recognition? Which king signed the Magna Carta? Charles VI Edward III O Henry v John The following lots of Commodity Z were available for sale during the year.Beginning inventory 11 units at $48First purchase 16 units at $51Second purchase 20 units at $56Third purchase 19 units at $58The firm uses the periodic system, and there are 23 units of the commodity on hand at the end of the year. What is the ending inventory balance at the end of the year according to the FIFO method?a.$1,326b.$3,566c.$3,543d.$1,104 Use synthetic division to find f(2) f(x) = 2x3 3x+7X-12