The manufacturing shop is producing custom photo imprinted mouse pads for clients. The startup equipment cost $400. A mouse pad has a production cost of $3. The retail sale is $12.
1). Write a cost function
2). Write a revenue function
3). Give the break-even point
Please help me answer all 3 questions, thanks!

Answers

Answer 1

Answer:

[tex]c(x) =400 + 3x[/tex]

[tex]r(x) = 12x[/tex]

[tex]x = 44.44[/tex]

Explanation:

Given

Cost

[tex]Equipment = 400[/tex]

[tex]Production = 3[/tex] per mouse pad

Revenue

[tex]Sales\ Price = 12[/tex]

Solving (a): The cost function

Let the number of mouse pad be x and the cost function be c(x).

[tex]c(x) =Equipment + Production * x[/tex]

[tex]c(x) =400 + 3 * x[/tex]

[tex]c(x) =400 + 3x[/tex]

Solving (b): The revenue function

Represent this with r(x)

[tex]r(x)= Sales\ Price * x[/tex]

[tex]r(x)= 12 * x[/tex]

[tex]r(x)= 12 x[/tex]

Solving (c): The break-even point

This is the point where r(x) = c(x)

So, we have:

[tex]12x = 400 + 3x[/tex]

Collect Like Terms

[tex]-3x+12x = 400[/tex]

[tex]9x = 400[/tex]

Solve for x

[tex]x = \frac{400}{9}[/tex]

[tex]x = 44.44[/tex]


Related Questions

1. Point out which changes are occurring in the business that affect HRM and Why (explain it in your own words).

Answers

Answer: Economic challenges

Explanation:

Economic challenges is what affects most and any organization. When this occurs, companies are forced to relieve some staff especially those who earn way much and which the company can't afford to pay them any longer or those who are close to retirement. These activities can affect the HRM, making them to consider ways to cut cost for the company in managing humans

what is the formula for total depreciation

Answers

Answer:

annual depreciation = (purchase price - salvage value) / useful life.

What is 5.00 per lip gloss with 50 orders of Pineapple and 40 strawberry and 90 raspberry Lipglosses

Answers

900.00 is the answer if you mean the cost for all

Which are ways that the economy is affected when the unemployment rate goes up? Select all that apply.
A. Fewer people pay income taxes.
B. Sales tax rates go down.
C. Many people refinance their houses.
D. Less money is spent on investments.
E. People spend more money on larger items.

Answers

Answer:

A. fewer people pay income tax

b. sales tax rates go down

c. many people refinance their houses

Explanation:

Answer:

D

Explanation:

Less money is spent in investments

What is the Disadvantage of fair trade?

Answers

Answer:

Losing a valuable

Explanation:

When trading there is always a valuable lost after. But if fair trading, you get new valuable

Answer:

One of the most commonly cited disadvantages of fair trade is paying premium prices. The cost of fair trade products tends to be higher, but are people willing to stump up the extra cash?

Explanation:

1203+345=

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

Answers

1548
...................................

What does an exchange rate tell you?

Answers

Answer:

An exchange rate tells you how much one type of currency is worth in a different currency.

Explanation:

Answer:A foreign exchange rate is the relative value between two currencies. Simply put, "exchange rates are the amount of one currency you can exchange for another."

Explanation:

Please help ASAP !!!!

I need an appropriate definition for:

1) Lean production

2) Operation management

Answers

Lean production is an approach to management that focuses on cutting out waste, whilst ensuring quality.

Operations management is an area of management concerned with designing and controlling the process of production and redesigning business operations in the production of goods or services.

If there is a large supply of a product, then production would be
decreased
increased
the same
none of the above

Answers

Production will increase.

What is the first step when creating a 3-D range name?
Open the New Range window, and click 3-D.
O Press the Shift key while selecting the new sheet.
O Open the Name Manager, and click New.
O Click a cell to insert the cell reference.

Answers

Answer:

C. Open the Name manager, and click New

Explanation:

Additional Information Check No. 5904 is correctly drawn for $2,090 to pay for computer equipment; however, the recordkeeper misread the amount and entered it in the accounting records with a debit to Computer Equipment and a credit to Cash of $2,060. The NSF check shown in the statement was originally received from a customer, S. Nilson, in payment of her account. Its return has not yet been recorded by the company. The credit memorandum (CM) is from the collection of a $1,500 note for Chavez Company by the bank. The bank deducted a $15 collection expense. The collection and expense are not yet recorded.

Answers

Answer:

Requirement: Prepare the September 2015 bank reconciliation for this company. Note: Missing table are attached as picture below

Adjusted Bank Balance

Bank statement balance                     $18,453.25

Add: Deposit in transit                         $1,682.75

                                                              $20,136

Less: Outstanding checks

CH #5893                           $494.25

CH #5906                           $982.30

CH #5908                           $388.00     $1,864.55

Adjusted Bank Balance                        $18,271.45

Adjusted Book Balance

Books Balance                                        $17,404.20

Add: Collect $1500 note, Less $15        $1,485

Interest earned                                        $12.50

                                                                 $18,901.70

Less: NSF Check                                     $600.25

Error in entry in check #904                   $30          

Adjusted Book Balance                          $18,271.45

Gary has a credit card with an APR of 13.57%, compounded monthly. He would like to pay off the $1,847.42 card balance over the course of two and a half years by making identical monthly payments. Assuming that he makes no additional purchases on his card, how much must Gary pay every month to reach his goal? (Round all dollar values to the nearest cent.)
a.
$72.96
b.
$137.45
c.
$61.58
d.
$86.29


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

Your answer is A

Explanation:

$72.96

The answer is A.72.96

Caitlyn has worked in HR for Clearwater Electronics for more than 20 years. She has found that many employees are now more concerned with working in an environment where they can grow personally than with their level of compensation. How can Caitlyn and the HR department best provide opportunities for their employees to grow?

Answers

Answer:

A) HR can provide training and development activities to help employees improve.

Explanation:

In a work environment where employees prioritize personal growth, it is necessary for the human resources department to implement training and development strategies for employees.

The focus on training and organizational development allows companies to develop diagnoses, discover the potential of employees, correct errors, reorganize the work according to the potential of each employee, etc., which makes the work more satisfying, more productive because it motivates and increase employee satisfaction, in addition to being essential for the development of creativity, innovation and differentiated skills.

The best way that Caitlyn and the HR can best provide opportunities for their employees to grow is through the provision of training and development activities to help employees improve.

This question obviously tells us that the employees are less concerned about the pay they receive compared to the growth that they can attain personally.

A way that would help them to attain the growth in their job is through trainings and other development activities.

These would help them to learn new skills and also get better at their jobs.

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When looking at the purchase of accounting software, things to avoid include

Answers

Answer:

4) C) software that requires a high annual subscription whether you want the updates or not

Explanation:

When the price of good A is $50, the quantity demanded of good A is 500 units. When the price of good A rises to $70, the quantity demanded of good A falls to 400 units. Using the midpoint method, O 1. the price elasticity of demand for good A is 0.67, and an increase in price will result in an increase in total revenue for good A O2 the price elasticity of demand for good A is 1.50, and an increase in price will result in a decrease in total revenue for good A. O 3. the price elasticity of demand for good A is 1.50, and an increase in price will result in an increase in total revenue for good A O 4 the price elasticity of demand for good A is 0.67, and an increase in price will result in a decrease in total revenue for good A

Answers

Answer: The price elasticity of demand for good A is 0.67, and an increase in price will result in a increase in total revenue for good A

Explanation:

The following can be deduced form the question:

P1 = $50

P2 = $70

Q1 = 500 units

Q2 = 400 units

Percentage change in quantity = [Q2 - Q1 / (Q2 + Q1) ÷ 2 ] × 100

Percentage change in price = [P2 - P1 / (P2 + P1) ÷ 2 ] × 100

% change in quantity = (400 - 500)/(400 + 500)/2 × 100

= -100/450 × 100

= -22.22%

% change on price = (70 - 50)/(70 + 50)/2 × 100

= 20/60 × 100

= 33

Price elasticity of demand = % change in quantity / % change on price

= -22.22 / 33

= -0.67

This means that a 1% change in price will lead to a 0.67% change in quantity demanded. As there was a price change, there'll be a little change in quantity demanded because demand is inelastic. Thereby, he increase in price will lead to an increase in the total revenue.

Therefore, the price elasticity of demand for good A is 0.67, and an increase in price will result in an increase in total revenue for good A

On day two of PI Planning, management presents adjustments based on the previous day's management review and problem solving meeting. What is one possible type of adjustment they could make

Answers

Answer:

The appropriate solution is " Business priorities".

Explanation:

Business priorities become the unique selling point, demonstrated thru all the work environment to somehow be accomplished that alone satisfies, as well as its profit procedure how well the corporation would be coordinated to generate profits. Responsibilities or expectations are perhaps the most significant so even though individuals guide the performance of the organization.

Which metric measures the customers willingness to recommend the clients product and services to others

Answers

Answer:

Net promoter score.

Explanation:

Net promoter score can be defined as a metric that measures the customers willingness to recommend the clients product and services to others.

In Business management, one of the key metrics that is being used by producers or service providers to measure the efforts of a customer to recommend their products and services to others is the net promoter score. The net promoter score is graded on a scale of -100 to 100 to measure customer satisfaction and the willingness of the customer to recommend such products or services to their peers, families or colleagues.

This ultimately implies that, a net promoter score helps business owners to gather information on how satisfied their customers are and if they would be loyal enough to the brand by recommending their products or services to others.

Sally wants to use money from her checking account to make a purchase. Which payment method should she use? Question 4 options: Credit Card Debit Card Direct Deposit Gift Card

Answers

Answer:

Sally should use the following payment method:

Debit Card.

Explanation:

Sally's debit card will deduct money directly from her checking account to pay for the purchase. With debit cards, Sally does not need to carry cash or physical checks in order to make payments for her purchases.  Another payment method she could use with her checking account is a check.  But this will involve the carrying of the physical checks.  Credit Cards are used when purchases are being made on credit.  In such a case, Sally will pay interest on the borrowed cash she uses to purchase items, and she will need to make deposits into the account to clear her loans.

The game hides the amount of cookies-per-second a new "vendor" (the grandmothers, the cookie farm, the mines, etc.) will grant you until you have purchased your first unit of that upgrade. How did that affect your strategy? How is that similar or different from what real businesses confront when creating a business plan?

Answers

Im not sure what that will be

For 1 How does grandma have so many cookies??? For 2 if i eat 555 cookies then imma have diabetes. and for 3 there really is no way to find this out. The only way to find out how many cookies there is now it to see how much cookies there were before and you cant do that without seeing how much is in there now. Its a catch 22.

Explanation:

What is a loan???????????

Answers

Answer:

Uhm i did not see the points at first lol im in 6 grade

Explanation:

In finance, a loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations etc. The recipient incurs a debt and is usually liable to pay interest on that debt until it is repaid as well as to repay the principal amount borrowed.- WIKEPIDIA

Answer:

yes

Explanation:

Lenders usually wants to see 12-18 months of positive credit history (Low balances, no late or missed payment, etc) before approving you for a mortagage. TRUE or FALSE.

Answers

Answer:

True. Your credit history is reflected in your credit score, which is also key to qualifying for a mortgage.

Explanation:

True, Lenders typically require 12 to 18 months of positive history: modest balances, no late or missed payments, etc. Your credit history is reflected in your credit score, which is also key to qualifying for a mortgage.


What is a Credit Score?

A credit score is a numerical expression based on a level analysis of a person's credit files to represent the creditworthiness of an individual. A credit score is primarily based on a credit report, information typically sourced from credit bureaus.  


What is Credit History?

Your credit history is an overview of how much you use credit and how well you pay your bills. It’s hard evidence that you don’t spend more than you earn, use credit in moderation, and pay bills regularly and promptly.


What is a Mortgage?

Mortgage refers to the process of offering something as a guarantee or collateral against a loan. One may come across the term when looking for secured loans. Generally, home loans of all types are secured loans. The borrower must offer their property as a security to the lender.

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what are some economic concerns that may need to be addressed in the future?

Answers

Over population, It can result from an increase in births (fertility rate), a decline in the mortality rate, an increase in immigration, or a depletion of resources. And less food for people who actually need it the state that had the least amount of people is China because it has a one child policy and if they break the law they can be executed and it’s to maintain current unsustainable consumption patterns while blaming the poor, women, people of color, immigrants, and those residing in the “global South” who produce a negligible impact on the environment.

Can some please explain what a core feature is for business class

Answers

Answer:

The main things

Explanation:

Which of the following should show a profit in order for a financial institution to give a the company a loan

a) income statement
b) rent expense
c) accelerated depreciation
d) accounts receivable

Answers

Answer:

A I think not really sure hope this helps you

Income statement. So answer is A.

which manager designs the product in a business​

Answers

It is a product design manager

Answer:

Product Design Management (PDM)

Explanation:

Product Design Management (PDM) is one of the most important elements in the successful business of designing innovative products for production.

On March 1, 2021, Stratford Lighting issued 10% bonds, dated March 1, with a face amount of $690,000. The bonds sold for $678,000 and mature on February 28, 2041 (20 years). Interest is paid semiannually on August 31 and February 28. Stratford uses the straight-line method and its fiscal year ends December 31.

1. Prepare the journal entry to record the issuance of the bonds by Stratford Lighting on March 1, 2021

2. Prepare the journal entry to record interest on August 31, 2021

3. Prepare the journal entry to accrue interest on December 31, 2021.

4. Prepare the journal entry to record interest on February 28, 2022

Answers

Answer:

1. March 1, 2021

Dr Cash $678,000

Dr Discount on bonds payable $12,000

Cr Bonds payable $690,000

2. August 31, 2021

Dr Bond interest expense $34,800

Cr Discount on bonds payable $ 300

Cr Cash $34,500

3. December 31, 2021

Dr Bond interest expense $23,200

Cr Discount on bonds payable $200

Cr Bond interest payable $23,000

4. February 28, 2022

Dr Bond interest payable $23,000

Dr Bond interest expense $11,600

Cr Discount on bonds payable $100

Cr Cash $34,500

Explanation:

1. Preparation of the journal entry to record the issuance of the bonds by Stratford Lighting on March 1, 2021

Dr Cash $678,000

Dr Discount on bonds payable $12,000

($690,000-$678,000)

Cr Bonds payable $690,000

(Being to record issuance of the bonds is recorded)

2. Preparation of the journal entry to record interest on August 31, 2021

Dr Bond interest expense $34,800

Cr Discount on bonds payable $ 300 ($12,000/20*6/12 )

Cr Cash $34,500

($690,000 × 10% × 6/12)

(Being to record interest )

3. Preparation of the journal entry to accrue interest on December 31, 2021.

Dr Bond interest expense $23,200

($23,000+$200)

Cr Discount on bonds payable $200

($12,000/20 × 4 /12)

Cr Bond interest payable $23,000

($690,000* 10%× 4/12)

(Being to record accrue interest is recorded)

4. Preparation of the journal entry to record interest on February 28, 2022

Dr Bond interest payable $23,000

($690,000* 10%× 4/12)

Dr Bond interest expense $11,600

[($34,500+$100)-$23,000]

Cr Discount on bonds payable $100

($12,000/20*2/12)

Cr Cash $34,500

($690,000 × 10% × 6/12)

(Being to record interest is recorded)

One popular system for defining effective goals uses the acronym SMART, which stands for?

Answers

Answer: Specific, Measurable, Achievable, Relevant, Timely

NEED HELP, I WILL GIVE BRAINLIEST

Today I sold a new 80 inch television. The sale of this item is called________?

A. Unit of Sale
B. Asset
C. Cost of Goods Sold

Answers

Answer:

unit of sale

Explanation:

if u look up the definition of the word, unit of sale makes understand

Answer:

a.unit of sales

Explanation:

I NEED THIS ASAP!!!!!! While working on a forty-slide PowerPoint presentation, a user needs to quickly look over the six slides that have orange backgrounds. How can the user most efficiently find the six slides and then see them in the main PowerPoint window?

by going under the View tab and clicking on the New Window tool
by clicking on the File tab and using the Open dialog box to select a slide
by scrolling through the slide previews on the left and clicking on orange slides
by using the slider in the bottom right to zoom out until all slides are visible

its not B!!!!!!!!!!!

Answers

Answer:

by scrolling through the slide previews on the left and clicking on orange slides

The user can see them in the main PowerPoint window he can scroll through the slide previews on the left and clicking on orange slides.

What is a power point presentation?

A power point presentation refers to a presentation that is made by the use of the Microsoft power point tool.

If the user wants to find the six slides and then see them in the main PowerPoint window he can scroll through the slide previews on the left and clicking on orange slides.

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Select two learning styles from the following list. Describe ways in which each of the two learning styles prefer to learn. Bodily/kinesthetic, interpersonal, intrapersonal, logical/mathematical, naturalistic, rhythmic/musical, verbal/linguistic.

Answers

Answer:

interpersonal

positive behaviors used when interacting with others

intrapersonal

relationship with self

Explanation:

I really don't have an explanation sorry

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On day two of PI Planning, management presents adjustments based on the previous day's management review and problem solving meeting. What is one possible type of adjustment they could make Two solutions, A and B, are at room temperature. They are mixed to produce solution C. The temperature of solution C is significantly higher than room temperature. Which of the following likely occurred? aA. new substance was formed. B.The color of the solution changed. C.A gas was produced.D.The solutions went through a physical change. HELP MATH HELP MATH math is hard pls help me and give workings too thank you so much Can someone pls help me I will give brainliest to the first answer a pencil costs 16p and a rubber costs 23p. bob purchases 18 pencils and 12 rubbers. Calculate how much he spends The Gettysburg Address is unique for its length; its just 272 words. Do you think the speechs brevity makes it more or less powerful? Why? -6 + (-2) + 5= ? Help would really be appreciated!! :) Which of these human development stages occurs after childhood?1. infancy2. adulthood3. maturation 4. adolescence The passage below is from the Fourteenth Amendment to the U.S. Constitution.No state shall make or enforce any law which shall abridge the privileges of citizens nor shall any state deprive any person of life, liberty, or property, without due process of law . . .What was the primary purpose of these provisions?to provide the right to vote to womento limit the ability of state governments to restrict individual rightsto establish federal reservations for American Indiansto protect the rights of African Americans moving to the North how do you simplify 1/10 Find the slope Bb bnbn Which of the following is a metal?A. nitrogenB. calciumC. sulfurD. carbon HELPPP 8g + 25 = 97Solve for G URGENT!!!!! PLEASE ANSWER Earth is 92.96 million miles from the su orbits the sun in about 365, 26 days traveling at an average speed of 18.51 miles per secondHow far does Earth travel in minute(60 seconds) solve the equation. check your solution.5/10=76=t/53a=1242=7kHELP ASAP PLEASE The diagram below shows two organellesa chloroplast and a mitochondrion.How are these organelles similar? A. They are both found in animal cells. B. They are both designed to create food for the cell. C. They both have an inner membrane and an outer membrane. D. all of these Was Dolly the Sheep gene cloning or therapeutic cloning? Ed buys a box of eggs costing 2.80, two packs of bacon for 2.40 each and two tins of baked beans. He pays with a 10 note and gets 80p change. How much does a tin of beans cost in pounds, ? helpppppp plssssssss