Given the short-run production function: Q=120L²-L³, where Q is Total Product and L is labour input, (a) Find MP and AP of labour (b) Find the value of L that maximizes Total Product (e) Find the value of L that maximizes Marginal Product (d) Find the value of L that maximizes Average Product (e) CAREFULLY graph TP, MP, AP and label all the critical points you found in parts b-d.
Answers
(a) MP = 240L - 3L²
AP = 120L - L²
(b) The value of L that maximizes Total Product is L = 80.
(c) The value of L that maximizes Marginal Product is L = 40.
(d) The value of L that maximizes Average Product is L = 60.
(e) Critical Point: (L, TP) - Maximum TP: (80, TP)
Critical Point: (L, MP) - Maximum MP: (40, MP)
Critical Point: (L, AP) - Maximum AP: (60, AP)
Let's differentiate the production function with respect to labor (L):
Q = 120L² - L³
(a) MP (Marginal Product) of labor is the derivative of the total product (Q) with respect to labor (L):
MP = dQ/dL = d/dL(120L² - L³) = 240L - 3L²
AP (Average Product) of labor is the total product (Q) divided by the quantity of labor (L):
AP = Q/L = (120L² - L³) / L = 120L - L²
(b) For the value of L that maximizes Total Product (TP), we need to find the maximum point of the production function. We differentiate the production function with respect to labor and set it equal to zero:
dQ/dL = 240L - 3L² = 0
Solving this equation, we get:
240L - 3L² = 0
3L(80 - L) = 0
This equation has two solutions: L = 0 and L = 80. However, since L represents the quantity of labor, the value of L cannot be zero. Therefore, the value of L that maximizes Total Product is L = 80.
(c) For the value of L that maximizes Marginal Product (MP), we need to find the maximum point of the MP curve. This occurs when MP reaches its maximum and starts decreasing. We already have the expression for MP:
MP = 240L - 3L²
Now let's differentiate MP with respect to L and set it equal to zero:
dMP/dL = 240 - 6L = 0
Solving this equation, we get:
240 - 6L = 0
6L = 240
L = 40
Therefore, the value of L that maximizes Marginal Product is L = 40.
(d) For the value of L that maximizes Average Product (AP), we need to find the maximum point of the AP curve. This occurs when AP reaches its maximum and starts decreasing. We already have the expression for AP:
AP = 120L - L²
For the maximum point, we differentiate AP with respect to L and set it equal to zero:
dAP/dL = 120 - 2L = 0
Solving this equation, we get:
120 - 2L = 0
2L = 120
L = 60
Therefore, the value of L that maximizes Average Product is L = 60.
(e) Now we can use a graph with the quantity of labor (L) on the horizontal axis and the corresponding values of TP, MP, and AP on the vertical axis. The critical points we found in parts b-d are:
Critical Point: (L, TP)
- Maximum TP: (80, TP)
Critical Point: (L, MP)
- Maximum MP: (40, MP)
Critical Point: (L, AP)
- Maximum AP: (60, AP)
By plotting these points on the graph, we can label them accordingly to represent the critical points of TP, MP, and AP.
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Related Questions
Q1: Describe the path taken by a water molecule from the soil until it reaches a mesophyll cell of a leaf to be made into sugar.
Q2: What are the differences between xylem and phloem:
a. In structure
b. In function?
Q3: State briefly the functions of the following : xylem, root hair, root cap, epidermis.
Q4: Why do you think that root hairs are produced only on the parts of the root system that have stopped growing?
Q5: What structures help to keep the stem’s shape and upright position?
Plz hlp me I will give u brainliest
Answers
Answer:
Answer 1:
Water is taken up through the xylem until it reaches a leaf, where it diffuses outinto the surrounding mesophyll cells.Water diffuses from the mesophyll cellsto the surrounding intercellular air spaces as water vapour, and finally, out of theleaf through the stomata.
Answer 2:
Xylem and phloem facilitate the transportation of water, minerals and food throughout the plant. Xylemcarries water and minerals from the roots to the leaves. Whereas,phloem carries the food prepared by the leaves to different parts of the plant.
Answer 3:
XYlem- It helps in Conduction of minerals and water in Plant. Troot hains: - Troots haves absonb water from the soil. Epidermis- It Provide Protection Root Cap
Answer 4:
Explanation: The function of root hairs is to help the plant absorb water and nutrients. Root hairs are part of the root system of the plant and their job is to increase the surface area of the roots, allowing them to take in more nutrients than if the roots were smooth.
Answer 5:
The vascular tissue contributes to the support of the plant. I think the xylem and phloem also help with support, but I'm unsure.
Explanation:
I hope ki mera answer sahi h
Due to your good credit, your bank reduces the interest rate on your 12,000 loan from 9% to 7.5% per year. Thanks to the change, how much will you save in interest this year?
The amount you will save in interest this year is $______________
Answers
Answer:
Explanation:
you have got a reduction of 1.5% (9%-7.5%) in your interest rate
So, if you multiply this value by the amount of the loan, you can know how much you will save this year.
Savings = $12,000 x 1.5%= $180
Another way to board the problem is the following:
With the initial interest rate of 9% you will would have to pay:
$12,000 x 9% = $1080
But now, with a reduced rated of 7.5% you only pay:
$12,000 x 7.5% = $900
Logically, the difference between these amounts will be what you save in the year
Savings=$1080-$900=$180
The entry to record the amortization of a premium on bonds payable on an interest payment date would Group of answer choices a debit to Premium on Bonds Payable and a credit to Interest Revenue a debit to Interest Expense and a credit to Premium on Bond Payable a debit to Interest Expense and Premium on Bonds Payable and a credit to Cash a debit to Bonds Payable and a credit to Interest Expense
Answers
Answer:
a debit to interest expense and premium on bonds payable and a credit to cash
Explanation:
Based on the information given The Appropriate journal entry to record the AMORTIZATION OF A PREMIUM ON BONDS PAYABLE ON AN INTEREST PAYMENT DATE will include: a DEBIT TO INTEREST EXPENSE and PREMIUM ON BONDS PAYABLE and a CREDIT TO CASH
Debit Interest expense
Debit Premium on bonds payable
Credit cash
(To record the amortization of premium on bonds payable on an interest payment date)
Directions and Analysis
Handling a Diverse Workforce
Perform online or offline search, and choose a multinational corporation that you can contact.
You must then email or call and speak to someone from the firm's Human Resources
department (preferably the HR manager or a senior HR person), place a request to come in,
and conduct a brief (15- to 20-minute) interview with the HR manager. During the interview,
you need to ask questions about the background of the company and the challenges that the
company faces when they have employees from different cultural backgrounds. Evaluate the
responses and summarize your findings.
Type your response here:
Answers
I have chosen Samsung electronics which is positioned in my area. I have visited the business enterprise and performed a meeting with HR manager.
The corporation has launched trainee software for the graduates. HR manager has supplied details about the program which consists of education of freshers and on job support.
They can find out about and do the job collectively so that they analyze how to work in an workplace environment. Graduates can aid supervisor of more than one department at a time which gives them publicity of notable department tasks.
The essential characteristics which are required with the aid of the business enterprise in a candidate are multitasking skills, trouble solving ability and potential to meet deadlines. For interview there is a quick recreation in which IQ stage of candidates is tested and those who clear the levels of the game are then promoted for a panel interview.
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"I put $200 into my retirement account at work," Maisie says. "And I see that my employer put in $200 in the same account! What is this?" What is
Maisie describing?
A. medical insurance
O B. worker's compensation
OC. matching funds
O D. Social Security
um. All rights reserved.
Reset
Next
G
Answers
In matching funds, as Maisie is discussing, her company makes a contribution to her retirement account that is equal to the one she makes.
What do you mean by matching funds?funding matches. a confirmed cash contribution or financial commitments from approved sources, free of any conflicts of interest, that are used for approved project purposes during the grant financing period.
How do match funds function?The non-federal portion of the total project expenditures that a grantee must contribute in order to fulfill the objectives of the award is known as a match for a federal grant. The program RFP should be consulted because the needed match percentage, sources of match, and other conditions differ from program to program.
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True or false? Technology alone will solve most of your client’s problems. As long as you have a basic implementation strategy, you don’t need to worry about building out a detailed plan.
Answers
Answer:
ture
Explanation:
technology is here to solve your problems
Technology alone will solve most of your client’s problems. As long as you have a basic implementation strategy, you don’t need to worry about building out a detailed plan, this statement is true.
What is technology?Technology is the development, application, and knowledge of tools, techniques, skills, systems, or administrative procedures used to address a challenge or further a certain objective. Business Models for the Digital Economy.
The primary goal of technology, which combines tools to promote development, use, and information interchange, is to simplify work and find solutions to many of humanity's issues. We must underline the advantages of technology as it develops and continues to make our lives easier.
Hence, Technology alone will solve most of your client’s problems. As long as you have a basic implementation strategy, you don’t need to worry about creating out a detailed plan.
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Name and describe four trade barriers.
Answers
Answer:
subsidies, standardization, tariffs, quotas, and licenses.
Explanation:
The main types of trade barriers used by countries seeking a protectionist policy or as a form of retaliatory trade barriers are subsidies, standardization, tariffs, quotas, and licenses.
How important is money
Answers
Answer:
very important
Explanation:
money is a global income source for everyone. we all have different types but it is all still money. now say one country got rid of money and had people pay for stuff using other things. if china did that lots of different countries wouldn't be able to get stuff from there unless they had so much of that product they could just give it up.
Please help--
Spending that is based on the purchase decisions you make that can vary from month to month is a ___
Answers
People commonly use credit cards, auto loans, home mortgages to finance their purchases *
A. True
B. False
Answers
Answer:
the answer to this question is true
Answer:
People use credit cards for daily purchases. I think the question is asking for finance a purchases which will conclude it's a big purchases so YES people will use credit and assists to finance purchases
Explanation:
The best answer is A. Ture
Which source is NOT a valid data source for a mail merge?
O database
O Outlook contacts
O Excel worksheet
O PDF document
Answers
Excel worksheet
From the different options listed below the one that is not a valid data source for mail merge is a database. Thus, the first option is the correct answer.
What is mail merge?Mail merge allows us to create a batch of personalized documents for each recipient. A form letter, for example, could be personalized to address each recipient by name. The document is linked to a data source, such as a list, spreadsheet, or database.
Mail merge employs all Microsoft Word and Microsoft Excel document types, including Outlook contacts, Excel worksheets, and even PDF documents.
Databases, on the other hand, are server-side programs that contain a variety of information but are not classified as a specific document type and thus are not eligible for mail merge.
Therefore, database is not a valid data source for a mail merge.
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________ is largest employer in the country and the largest purchaser of goods and services in the world.
Answers
The largest employer in the country which can also be regarded as largest purchaser of goods as well as services is U.S. federal government.
U.S. federal government can be regarded as national government of the United States, which is composed of self-governing territories as well as several island.She serve as one of the major force in the world market, and that is why many countries relied on their exports.Therefore, U.S. federal government is right.
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paragraph of changing place
Answers
Answer:
put the hold question in the text box
What are the Dow Jones close at today?
Answers
"Today's Dow Jones close is an important indicator of the overall performance of the stock market. The Dow Jones Industrial Average (DJIA), also known as the Dow Jones or simply the Dow, is a stock market index that tracks the performance of 30 large U.S. based companies.
The Dow Jones close at the end of each trading day is the final closing price of the Dow Jones Industrial Average, which is a reflection of the aggregate value of the 30 companies that make up the Dow.
As of the close of trading today, the Dow Jones closed at 28,586.22. This means that the aggregate value of the 30 companies that make up the Dow Jones Industrial Average was 28,586.22. It is important to note that the close of the Dow Jones may not necessarily reflect the actual performance of the stock market, as it is just a snapshot of the aggregate value of the 30 companies.
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What type of marketing is generally characterized by limited communications and little or no ongoing relationship between the buyer and seller?.
Answers
A type of marketing that is generally characterized by limited communications and little or no ongoing relationship between the buyer and seller is transactional marketing.
What is transactional marketing?
Transactional marketing is one business strategy that focuses on single "point of sale" transactions. This strategy emphasizes is on maximizing the volume and efficiency of individual sales rather than developing a relationship with the buyer. The advantage of this strategy is the cost-effective strategy to build a sales model. It's because the strategy doesn't focus on brand image and the promotional costs are low. The example of transactional marketing is a shopping channel on TV advertising a new product and provides a phone number or website to buy the product in that moment.
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An inheritance of $250,000 is to be divided among Chris, Kelly, and Julie in the following manner: Kelly is to receive (3)/(4) of what Chris gets, while Julie gets (1)/(3) of what Chris gets. How much does Kelly receive?
Answers
Kelly will receive $90,000.. Let's denote the amount that Chris receives as "x." The sum of the amounts received by all three individuals should add up to the total inheritance of $250,000:
x + (3/4) * x + (1/3) * x = $250,000
To simplify the equation, we can find a common denominator:
(12/12)x + (9/12)x + (4/12)x = $250,000
(25/12)x = $250,000
To isolate x, we can multiply both sides of the equation by (12/25):
x = ($250,000) * (12/25)
x = $120,000
Now that we know the amount Chris receives, we can calculate how much Kelly gets, which is 3/4 of what Chris receives:
Kelly's amount = (3/4) * $120,000
Kelly's amount = $90,000
Therefore, Kelly will receive $90,000.
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What factors maintain differences between countries/religion
Answers
Answer: Different beliefs of "God"
Suppose that the CAPM holds and that BP's stock has a beta of 2. (a) If the expected market return is 4% and the risk-free rate is 1%, what is the required rate of return on BP's stock?
Answers
Based on the Capital Asset Pricing Model (CAPM) and given BP's stock beta of 2, an expected market return of 4%, and a risk-free rate of 1%, the required rate of return on BP's stock is 7%.
According to the CAPM, the required rate of return on a stock is determined by the risk-free rate and the stock's beta, which measures its sensitivity to market movements. The formula for the required rate of return is: Required Rate of Return = Risk-Free Rate + (Beta × (Expected Market Return - Risk-Free Rate)). In this case, the risk-free rate is 1%, the expected market return is 4%, and BP's stock beta is 2. Plugging these values into the formula, we can calculate the required rate of return:
Required Rate of Return = 1% + (2 × (4% - 1%))
= 1% + (2 × 3%)
= 1% + 6%
= 7%
Therefore, the required rate of return on BP's stock is 7%. This implies that investors would expect a 7% return on their investment in BP's stock to compensate for the additional risk associated with its higher beta compared to the market.
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A person who fails to make loan payments on time is likely to face which
consequence?
A. Paying higher interest rates on future loans
B. Having his or her credit score greatly increased
C. Being arrested and charged with bank fraud
D. Being given a lower debt-to-income ratio
Answers
A person who fails to make loan payments on time is likely to face the consequence of paying higher interest rates on future loans. The correct option is A.
When a borrower fails to make loan payments on time, it can negatively affect their credit score. This can make it harder to obtain future loans or credit cards, and lenders may charge higher interest rates to compensate for the increased risk of lending to someone with a lower credit score.
It is important to note that failing to make loan payments on time does not typically result in being arrested and charged with bank fraud. However, it is important to communicate with the lender and work out a plan for repayment to avoid further consequences such as defaulting on the loan or having the loan sent to a debt collection agency.
Thus, the ideal selection is option A.
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Questions
1. Practical problem solving skills in the workplace and an
example ?
2. Conflict management in workplace with an example
3. How do you address underperforming team member
(subordinate)?
Answers
1. Practical problem-solving skills in the workplace refer to the ability to solve problems that arise during work operations in a practical and efficient manner. An example of practical problem-solving skills in the workplace is the ability to address customer complaints effectively.
When a customer has a problem with a product or service, a team member with practical problem-solving skills will listen to the complaint and offer a solution that is practical and efficient. For instance, if a customer complains about the poor quality of a product, the team member can offer a replacement or refund to address the problem.2. Conflict management in the workplace refers to the process of identifying and addressing conflicts that arise between team members in a professional manner.
3. Addressing an underperforming team member requires a delicate balance between offering support and accountability. A manager should start by communicating their expectations and goals to the team member. They should also provide regular feedback and coaching to help the team member improve their performance. If the team member continues to underperform, the manager should have a one-on-one conversation with them to understand the reasons behind their poor performance.
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A scrum master is responsible for estimating a work package that has a significant amount of uncertainty associated with the time and cost to complete. Due to the uncertainty involved he will be making a low, an average and a high estimate. He is using which estimating approach?
a. Apportion method
b. Range estimating
c. Learning curve
d. Parametric procedures applied to specific tasks
e. Template method
Answers
Based on the scenario above, He is using the Range estimating approach.
What is a range estimate?The Range estimating approach is known to be a kind of estimated distance that exist between a person and their target.
There are a lot of techniques in estimating range, An example is the:
100-meter-unit-of-measure method. The appearance-of-object method.The bracketing method, etc.Learn more about Range estimating from
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What is the purpose of the qualifications section of a résumé?
a.
To provide an employer with the applicant’s contact information
b.
To highlight why the applicant is the perfect candidate for the position
c.
To give an employer an overview of the applicant’s education history
d.
To state the type of work the applicant is seeking
Answers
the Answer is B?
Explanation:
im bord so how are u to day say any thing u whant be free
Answers
Do you think the current system of punishment for cimes committed in the United States works? Why or why not? What would you change about the system?
Answers
Answer:
According to my understanding of the text, the author suggests that the current system of punishment in the United States is not effective, as evidenced by overcrowded jails. They suggest that not everyone who commits a crime needs to be incarcerated and that some may benefit more from rehabilitation or counseling, particularly those who have experienced past traumas or abuse. The author suggests that this approach should depend on the specific crime committed, with substance abuse users being directed towards rehabilitation and juveniles in detention centers being treated differently depending on their offense. The author notes that there is no rehabilitation in incarceration and that it may not be the best option for some offenders. However, for offenders who commit violent crimes such as sex offenders, murderers, and criminals, the author believes that harsh punishment is warranted. The author also disagrees with pardoning drug traffickers and dealers who have not committed violent crimes and believes that they should be incarcerated for their offenses, which they consider to be just as bad as violent crimes.
Question 5 of 10
When gathering information, which of the following tasks might you need to
perform?
A. Apply standards, such as measures of quality, beauty, usefulness,
or ethics
B. Seek out ideas from others and share your own ideas
C. Study objects, conduct lijsts, research written materials, and ask
questions
D. Fill out forms, follow procedures, and apply math and science
SEN
Answers
the first era in marketing was a focus on producing as much as possible because of high demand. this was termed the era which was followed by the selling era, the marketing concept era and finally the customer relationship era..
Answers
The first era of marketing was focused on producing as much as possible due to high demand. This was called the production era, which followed the sales era, the marketing concept era, and finally the customer relationships era.
The era of production in marketing, had as its main objective to increase production to meet demand, that is, the more a company could produce and distribute products in the markets, the better positioned it would be.
Marketing therefore evolved and new concepts emerged, and currently marketing is in the customer relationship era, which was impacted by new technologies and digital media.
The customer relationship era has as its main objective the creation of value and customer engagement with the company, which constitutes a relevant competitive differential.
Currently, businesses face greater competitiveness, so companies are looking for ways to stand out in the market to attract and retain their customers, through strategies that increase their value and satisfaction for consumers.
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What’s one category you wish more taxes were spent on? Why?
Answers
Answer I wish fewer taxes were spent on health. Although health is an essential part of everyone's life Why? feel there are more significant aspects of society that need to be addressed such as the Federal Debt or Veteran's Benefits. 2.
A(n) _allows students to study more specific topics within their majors. O A. requirement O B. integration O C. minor O D. specialization
Answers
Answer:
requirement
Explanation:
think so
Which cable news network produces the most straight reporting?
A. MSNBC
B. ESPN
C. CNN
D. FOX
Answers
Answer:
C.
Have a good morning✨
Answer:
A
Explanation:
A(n) _____ identifies how you feel about an activity or subject.
Answers
Answer:
Survey
it questions and identifies how you feel about an activity or subject.
Answer: interest theory
took it on edg.