If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below. C(x) = 16,000 + 140x + 4x3/2 (a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.)(b) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.) (c) Find the marginal cost at a production level of 1000 units. (Round your answer to the nearest cent.)(d) Find the production level that will minimize the average cost. (Round your answer to the nearest whole number.) (e) What is the minimum average cost? (Round your answer to the nearest dollar.)

Answers

Answer 1

Answer:

Following are the solution to the question:

Explanation:

Calculating the total cost:

[tex]C(x) = 2,000 + 140x + \frac{4x^3}{2}[/tex]

Calculating the marginal cost:

[tex]M(x) = C'(x) = 140 + 6 \times \frac{1}{2}[/tex]

Calculating the average cost:

[tex]A( x ) =\frac{ C( x )}{x} = 2,000x-1 + 140 + 4\times \frac{1}{2}[/tex]

Calculating the marginal average cost:

[tex]m( x ) = A'( x ) = -2,000x-2 + 2x-\frac{1}{2}[/tex]

In point  (a)

[tex]C( 1,000 )[/tex]

              [tex]= 2,000 + 140( 1,000 ) + 4( 1,000)^{\frac{3}{2}}\\\\= \$ \ 268,491.106 \\\\ = \$ \ 268,491.11[/tex]

In point(b)

[tex]A( 1,000 )[/tex]

               [tex]= 2,000( 1,000 )-1 + 140 + 4( 1,000 )^{\frac{1 }{2}}\\\\= \frac{\$ \ 268.491106} {unit}\\\\= \frac{\$ \ 268.49}{ unit}[/tex]

In point (c)

[tex]M( 1,000)[/tex]

              [tex]= 140 + 6( 1,000 )^{\frac{1}{2}}\\\\= \frac{\$ \ 329.73666}{unit}\\\\= \frac{ \$ \ 329.74}{ unit}[/tex]

In point (d)  

Calculating the average cost:

[tex]A'( x ) = m( x ) = -2,000x-2 + 2x- \frac{1}{2}\\\\A'( x ) = 0 = -2,000x-2 + 2x-\frac{1}{2}= 0\\\\multiply \ by \ 2\\\\\to -2,000 + 2 \times \frac{x^3}{2}= 0 \\\\\to 2\times \frac{x^3}{2} = 2,000 \\\\\to \frac{x^3}{2} = \frac{2,000}{2} \\\\ \to \frac{x^3}{2}= 1,000 \\\\\to x = ( 1,000 )^{\frac{2}{3}}\\\\ \to 100 \ units[/tex]

In point (e)

[tex]A( 100 )[/tex]

            [tex]= 2,000( 100 )-1 + 140 + 4( 100 )^{\frac{1}{2}}\\\\= \frac{ \$ \ 200}{unit}[/tex]


Related Questions

_____ are words that are specific to an employer’s needs or industry and improve your chances of having your résumé considered.

Important words
Key words
Search words
Power words

Answers

Power words are the word that are specific to an employer’s needs

Answer:

imma say key words

Explanation:

srry if its wrong yall

Choose the four diversity in the workplace issues from the list below. Remember to choose four!


Ethnic groups


Role of women


Older workers


Physically challenged


Increase advertising


Raise the profit margin

Answers

Answer:

Ethnic groups

Physically challenged

Role of women

Older workers

Explanation:

Diversity in the workplace refers to the employers' deliberate efforts to employ individuals with varying traits.  A workplace that embraces diversity will have employees of different religions, races, gender, sexual orientations, educational backgrounds, and other attributes.

Employees with different backgrounds bring on-board different experiences and perspectives, which enhance the quality of decisions. Having a variety of views and opinions results in higher creativity.

Which describes the purpose of non-sufficient funds fees? A: penalize customers for writing checks for money they don't have


B:make sure customers keep sufficient funds in their account


C: pay for the costs of having bank employees


D: collect funds for withdrawals from a competitor’s machine

Answers

Answer:

A: penalize customers for writing checks for money they do not have

Explanation:

A bank reconciliation mainly computed by an accountant, gives the difference between the balance in relation to the bank statement and the cash balance with respect to the accounting records of the depositor in a particular financial institution.

In Financial accounting, a bank statement can be defined as an official summary or list of financial transactions, which typically comprises of the amount of money that has been paid into or withdrawn from an account by an individual or business entity over a specific period of time.

Generally, a bank statement usually has the following information charges, deposits, withdrawals, including the opening and closing balance for each account held at a given the period. Thus, bank customers are advised to frequently reconcile their records with bank statements in order to prevent non-sufficient funds (NSF) checks.

A non-sufficient funds (NSF) checks refers to a check that is not honored by the bank of the issuer due to the fact that the individual or business entity has an insufficient fund. It is also known as a bounced or bad check.

Hence, the purpose of non-sufficient funds fees is to  customers for writing checks for money they do not have. In the United States of America, the fee charged for non-sufficient funds (NSF) checks is between $27 to $35.

i believe this is business but idk but if anyone could help me with this that would be amazing

Answers

The correct answer is a Car salesman

Explanation:

Event planners are professionals in planning and organizing events, which includes weddings, conferences, birthday parties, festivals, among others. Moreover, planning events involves multiple elements such as music, food, decoration, among others and this makes event planners be in contact with vendors (companies or people that sell specific products or services).

In this context, an event planner is likely to be in contact with musicians because music is an essential element in many events, caterers because food is quite common in events, and florists because flowers are often used as part of the decoration. However, it is not likely event planners are in contact with a car salesman because most events do not require buying cars and this is not a common element in events.

The FDIC in the United States insures some financial accounts up to what amount?
A.
$10,000
B.
$50,000
C.
$100,000
D.
$500,000

Answers

Answer:C

Explanation:

Cover pages should include
a. The name of your class
b. The date you turn in the paper
c. Your teacher's name
d. All of these
Please select the best answer from the choices provided
O A
B
Ос

Answers

The answer it’s letter D

Answer:

the answer is D

Explanation:



QUESTION 4 of 10: An example of
sponsor
would be naming an event held at the stadium or even naming the stadium it
a) Naming rights
Ob) Signage
c) Hospitality
d) Endorsing
Submit
Id

Answers

Answer:

a) Naming rights

Explanation:

Naming rights involves a financial agreement where a private entity purchases the rights to name a facility or an event. The intention is to use the facility or an event as an advertising platform. In this case, the private company will name the stadium with its brand name. It paints the facility with its corporate colors. Naming rights are usually purchased for a specified duration.

Jordan loves creating short films using his phone camera and small posable figures. He has learned how to edit the videos so that it looks as if the figures are alive and moving! What possible career paths might Jordan want to consider for his future? Explain.

Answers

Answer:

You tube , computer enjneer

Explanation:

Answer:

"A possible career path that Jordan would consider taking for his future are videography, music/video editor, or even an influencer of some sort! Becoming a videographer could widen his knowledge about the electronics he enjoys working with. He could possibly turn something that he's passionate about into something small like short films on a phone all the way to a Hollywood movie."  all credit goes to foochy, the original creator of this paragraph. foochy is a brainly user.

identify two methods by which data maybe collected from supplier, customer, government​

Answers

Answer:

Questionnaires :  Interviews

Explanation:

There are several methods of collecting data from suppliers, customers, or the government. Two of them are

1. Questionnaires

Questionnaires are documents that contain questions related to the subject of inquiry. The researchers formulate questions that, when answered with provide information that they are seeking. Questionnaires can be administered to the suppliers or customers by email,  online or hard copies. They are among the most popular and oldest data collection techniques.

2. Interviews

In this method, a researcher engages a selected respondent on one-one conservation. They discuss the subject matter in detail.  Interviews provide instant feedback and offer the interviewer a deeper understanding of the respondents' thought processes.  

what is the harder subject you guys ever did

Answers

Answer:

Science

Explanation:

is the hardest subject, now.

why killed 2 pac and how old was he he when he died​

Answers

Answer:

Explanation:

2pac was 25 years when he died i think it was suge knight

plz marke me as brainlist

Imagine you’re working on an important project at work. You’re writing some content about space exploration for your client. Your client has promised to send you a list of approved encyclopedias or reference books that you can use for your article. However, you haven’t received it yet. Write an email asking the client to provide you with the list. Remember to follow the email etiquette you learned in this lesson: Address your recipient by name. Mention the subject of the mail in the subject line. Clearly state the purpose of your email in the first sentence. End with an appropriate complimentary close. Make sure that your language is formal and professional.

Answers

Answer:

Subject: Request List: Approved Reference Books for Space Exploration Article

Dear Mr. Jackson,

I am writing to request you to email me the list of approved reference books for the space exploration article. We had discussed some tentative suggestions in our previous meeting. We are a bit behind schedule with writing the article. The reference book list will be a great help to us. Thank you for your time in considering this request.

Sincerely Yours,

Janice Collins

Head Writer

Star Communications

2563 Maple Road

Sunny City, CA 4523

Tel: (123) 456-7890

THIS IS THE EXAMPLE ANSWER!

Type the correct answer in the box. Spell all words correctly.

What is the term for the account balances of commercial banks held by the central bank?
The account balances of commercial banks held by the central bank are termed ________

Answers

Answer:

The account balances of commercial banks held by the central bank are termed as Bank reserves or Reserves

Explanation:

One function of the central bank is to be a bank to the commercial banks. Each licensed bank is required to open and operate an account with the central bank. The deposits that commercial banks hold at the central bank as known as bank reserves or reserves.

The central bank offers banking services to commercial banks, just as commercial banks serve their customers. The central bank accepts deposits, process checks, and issues loans to commercial banks

how do i get an egg out of my fridge????? HELP NEED TO KNOW ASAP

Answers

Answer:

open fridge!!!

Explanation:

STEP 1: open fridge

STEP 2: find the egg then grab with hand!!!!!!!!

(Its really hard!!)

Mary is deciding whether to book the cheaper flight home from college after her final​ exams, but​ she's unsure when her last exam will be. She thinks there is only a ​%10 chance that the exam will be scheduled after the last day she can get a seat on the cheaper flight. If it is and she has to cancel the​ flight, she will lose ​$150. If she can take the cheaper​ flight, she will save ​$50. ​a) If she books the cheaper​ flight, what can she expect to​ gain, on​ average? ​b) What is the standard​ deviation?

Answers

Answer:

(a) Expected gain = 30

(b) Standard deviation = 66.03

Explanation:

From the question, we are given the following:

Probability of loss = 10%

Loss amount = $150

Probability of Saving = 100% - Probability of loss = 100% - 10% = 90%

Saving amount = $50

Therefore, we proceed as follows:

a) If she books the cheaper​ flight, what can she expect to​ gain, on​ average?

This can be calculated as follows:

Expected gain = (Probability of loss * (-Loss amount)) + (Probability of Saving * Saving amount) = (10% * (-150)) + (90% * 50) = -15 + 45 = 30

b) What is the standard​ deviation?

Standard deviation can be described as a measure of the amount of variation a set of values. This can be calculated from the variance as follows:

Variance = (Probability of loss * (-Loss amount - Expected gain)^2) + (Probability of Saving * (Saving amount - Expected gain)^2) = (10% * (-150 - 50)^2) + (90% * (50 - 30)^2) = (10% * (-200)^2) + (90% * (20)^2) = (10% * 40,000) + (90% * 400) = 4,000 + 360 = 4,360

Standard deviation = Variance^0.5 = 4,360^0.5 = 66.03

Below are eight descriptions of firms operating under various market conditions. For each item, determine whether the market is a monopoly or a market with perfect competition. Items (8 items) (Drag and drop into the appropriate area below) A firm in this market produces where P > MCA firm in this market may earn long-run economic profitsA firm in this market has no market powerA firm in this market has no competitorsA firm in this market cannot earn long-run economic profitsA firm in this market has significant market powerA firm in this market is one of many small competitorsA firm in this market produces where P = MC Categories Monopoly Drag and drop here Perfect Competition Drag and drop here.

Answers

Answer:

A firm in this market produces where P > MC ⇒ MONOPOLY, in perfect competition markets, firms produce where P = MC

A firm in this market may earn long-run economic profits ⇒ MONOPOLY, on perfect competition markets firms cannot earn economic profit in the long run

A firm in this market has no market power ⇒ PERFECT COMPETITION

A firm in this market has no competitors ⇒ MONOPOLY (this is the definition of a monopoly)

A firm in this market cannot earn long-run economic profits ⇒ PERFECT COMPETITION

A firm in this market has significant market power ⇒ MONOPOLY, since the firm is the only supplier, it has a lot of bargaining power

A firm in this market is one of many small competitors ⇒ PERFECT COMPETITION

A firm in this market produces where P = MC ⇒ PERFECT COMPETITION

Law governing relations among governments and international organizations is referred to as _______,while law that applies to private parties in international commercial and legal transactions is referred to as _______.

A) private international law; public international law

B) public international law; private international law

C) sovereign international law; statutory international law

D) statutory international law; sovereign international law

Answers

Answer:

answer is number that the number c

Sovereign legal theories reinterpret the Constitution of the United States through selective reading of law dictionaries, state court opinions, or specific capitalization, and incorporate other details from a variety of sources including the Uniform Commercial Code, the Articles of Confederation, the magna carta, etc.

c.


Which is not a task of the bankruptcy trustee?
ensures that the debtor begins repayment
gathers the debtor's funds in excess of exemptions
monitors the progress of a bankruptcy case
represents the debtor when meeting with the creditors

Answers

Answer:

The option which is not a task of the bankruptcy trustee is;

Represent the debtor when meeting with creditors

Explanation:

In a case of bankruptcy a bankruptcy trustee is assigned by the court and to whom the case information is handed to perform the following tasks

1) Converts the collected company assets to money

2) Assess the creditors (owed by the debtor) proof of claims

3) Allocate monetary refunds to the creditors

4)  Upholds or refuse claimants to specific debts

5) Completes tax and other financial reports that are submitted to government agencies

Answer:

Which is not a task of the bankruptcy trustee? That would be: Represents the debtor when meeting with the creditors.

Explanation:

Why? Because he is not a lawyer. He wouldn't really be able to do much in court.

Your bank gives you 50 points for monthly online bill pay, 50 points for monthly mobile deposits, 100 points per car payment, and 1.5 points per dollar credit card spent. You had monthly credit card charges of $1,400 last month. You earn $75 per 10,000 points. How much in dollars did you earn from points last month.

Answers

Answer: Last month earning = $17.25

Explanation:

If Anna originally invested $5,000 and Caleb invested $1,000 in the business, and the business made a profit of $60,000, how would the profit be split?

a. Regardless of what is in the partnership agreement, Anna will receive $50,000 of the profits and Caleb will receive $10,000.

b. If the partnership agreement does not specify how the profits will be split, then the proceeds will be split evenly ($30,000 to both).

c. If the partnership agreement specifies how the profits will be split, then the proceeds will be distributed accordingly, otherwise the profits will be split evenly between Anna and Caleb.

d. If the partnership agreement specifies how the profits will be split, then they will be split using the terms of the agreement.

Answers

Answer:

The answer is "Option A and B".

Explanation:

Irrespective of any terms of the cooperation arrangement, that corporation receives $50,000 and its company receives $10,000.

Unless the new agreement doesn't state how well the profits would be distributed, that revenues are shared evenly ($30,000 to each of them).

If the collaboration contract specifies that your benefits are distributed, therefore the conditions of the partnership are split" but "If it does not tell you how the earnings are split, then these gains are divided equal ($30,000 to both).

To locate the explanation of the colors on a map, you should look for a a. Compass c. Key b. Scale d. Chart Please select the best answer from the choices provided A B C D

Answers

Answer:

C. Key

Explanation:

Answer:

key

Explanation:

Jose Garcia agrees to contribute land with a fair market value of $10,000 in exchange for 200 shares of Damian Inc.'s common stock with a par value of $10 per share. The journal entry to record this transaction in the books of Damian, Inc., will include a credit to?

Answers

Answer:

Paid-in Capital in Excess of Par $8,000

Explanation:

Based on the information given we were told that Garcia contribute land that has  a fair market value of the amount of $10,000 which was exchange for 200 shares of the common stock of Damiann Inc.'s that has a par value of $10 per share which means that the journal entry to record the transaction in the books of Damian, Inc., will include a credit to Paid-in Capital in Excess of Par $8,000 calculated as:

Fair market value  $10,000

Less  common stock $2,000

(200 shares *$10 per share)

Paid-in Capital in Excess of Par $8,000

Time periods for a goal include which of the following? short-term mid-term intermediate-term long-term

Answers

Answer:

1. short-term

2. mid-term

3. long-term

Explanation:

Goals can be classified depending on the time taken to accomplish them. In this classification, three categories emerge.

Short-term goals are goals that take less than one year to achieve. They may take a day, two days, weeks, months but not more than 12 months.

Midterm goals usually take between one year and five years to accomplish. They form a link between the long term and short term goals.

Long term goal takes more than five years and beyond to accomplish. Some may even take a lifetime. To achieve long-term goals, they are split into smaller, easy to manage short and midterm objectives.

Answer:

1. short-term

2. mid-term

3. long-term

Explanation:


Type the correct answer in the box. Spell all words correctly.

What is the term for the account balances of commercial banks held by the central bank?
The account balances of commercial banks held by the central bank are termed _______

Answers

Answer:

Money Supply

Explanation:

Hope it helps, if its right it would be much appreciated if you could give me brainliest!

Answer: Money Supply

Explanation: The total amount of money-cash, coins, and balances in bank accounts-in circulation.

If you know a brand so well that you use its trademark name to describe all similar products, you are
exhibiting...
A. Brand Awareness
B. Brand Loyalty
C. Promotion Awareness
D. Promotion Susceptibility

Answers

Answer:

I think It's A. and C. or D. but I really think it's D. actually .

What can stand alone when applying for a job?
-cover letter and resume
-resume and transcript
-transcript and cover letter
-recommendations

Answers

Answer: A resume and cover letter

Explanation:

Creating a Customer-Centered Culture test

Quit

Page 2 of 10

Please read and answer each question carefully,

urse

2. For a company to develop an effective customer-centric culture, there is always room for:

A) O Improvement

B) O More customers

c) O Larger product research and development investment

D) More accurate market research

or organiza

hey must d

hiringur

Answers

Answer:

it is 4

Explanation:

4

Answer:

the answer is A have a good day

Nathan has created a chart depicting changes in the eating habits of various members of an average American family. Based on this chart, he has created a report forecasting a change in demand for fast-food products. He has also made suggestions regarding the ideal prices at which customers are likely to buy the most food products. What role is Nathan performing at his company?

Nathan is the ______ analyst at his company.

Answers

Market research analyst.

Nathan is the market research analyst at his company.

What is a market research analyst?

Market research analysts gather and analyze data on consumers and competitors. Market research analysts study market conditions to examine potential sales of a product or service. They help companies understand what products people want, who will buy them, and at what price.

Skills needed to be a Market ResearcherAn analytical mind.Strong knowledge of statistics and computers.An ability to handle data to work in quantitative research.An interest in psychology and behavioral science for qualitative research.Specific scientific or technical knowledge to work as an industrial researcher.

Learn more about market research analyst here https://brainly.com/question/15389852

#SPJ2

ILL GIvE BRIANLEST PLZZZ HELP

Flowcharting clarifies what will happen in a process or

a. What needs to happen

c. What is predicted to happen at a future date

b. What is estimated to happen

d. None of these Please select the best answer from the choices provided A B C D

Answers

Answer:

What is estimated to happen

Explanation:

Flowcharts are created to gather information to determine what will or what could happen.

Answer:

D

Explanation:

Need asap

Submit your essay on what's next for digital video in the future.

Answers

Answer:

I feel that this will all change because of all the emerging technology that is evolving in just 2018 and is still evolving today. I think that all of the desktops will become more portable an have more features while the common laptop will do the same also there will be even fewer people going out to shop at malls or clothing stores (because of online shopping) which means these local businesses will not be able to pay the rent or they will have to cut down on employment or even lower the hourly wage. This combined will snowball and be even worse by the future

Explanation:

I hope I've done a good answer, have a good day :)

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