A rate of return (RoR) is the net gain or loss of an investment over a specified time period, expressed as a percentage of the investment's initial cost. (a) Assume you borrowed RM 50000 at an interest rate of 1% per month, to be repaid in uniform monthly payments for 30 years. In the 163 rd payment, how much of it would be interest, and how much of it would be principal. (b) To become a successful engineer, Aziz would like to start an endowment at UNIKL that will provide scholarships of RM 10000 per year to 4 deserving engineering students beginning in year 6 and continuing indefinitely. If the university earns 10% per year on endowments funds, how much money should he donate now?

Answers

Answer 1

Assuming that you have borrowed RM 50000 at an interest rate of 1% per month to be repaid in uniform monthly payments for 30 years, the payment can be calculated by using the formula;

P = r(PV) / [1 - (1 + r)^(-n)]

Where P = Payment per period

r = Interest rate per period

n = Total number of periods

PV = Present value

The total number of periods is 30 x 12 = 360 months

The interest rate per month is 1/100 = 0.01

The present value is RM 50000

Substituting the given values into the above formula, we have;

P = 0.01(50000) / [1 - (1 + 0.01)^(-360)] = 443.21 RM

Hence, the total scholarship amount per year is;

Total scholarship amount = 4 x 10000 = 40000 RM

The present value of the endowment can be calculated by using the formula;

P = A / r = 40000 RM / 0.007974 = 5010786.77 RM

Aziz should donate RM 5010786.77 now.

To know more about calculated visit:

https://brainly.com/question/30781060

#SPJ11


Related Questions

please briefly describe the steps un the marketing research
process. (think flow chart)
and which steps are the most important?
Please briefly describe the steps in the marketing research process (think "fow chart"). Which step is the most important? For the toolbar, press ALT \( +F 10(P C) \) or \( A L T+F N+F 10 \) iMari

Answers

The following steps are frequently included in the marketing research process:  Determine the precise problem or study objective that needs to be addressed in order to collect pertinent data.

Conduct a literature review. Review the existing research, studies, and pertinent sources to learn more about the subject.  Specify the research inquiries or theories: Create precise, well-defined research questions or hypotheses to direct your investigation.  Select the research design: Depending on the goals of the study and the resources at hand, select an appropriate research design, such as exploratory, descriptive, or causal.  Choose the sample: Choose a representative sample based on the target population and the data collection process.  Gather data: Using a variety of techniques, such as surveys, interviews, observations, or experiments, collect data, ensuring the accuracy and validity of the data.  Analyse and interpret data: To glean useful insights, analyse the gathered data using statistical methods, qualitative analysis, or other suitable techniques.  Draw findings and offer recommendations: Based on the analysis, offer conclusions and suggestions that speak to the goals of the study and offer practical knowledge. Report and present findings: Create a thorough report that includes a summary of the research process, conclusions, and suggestions. Then, present the report to the pertinent stakeholders. Finding the problem or research aim is frequently seen as the first and most crucial phase in the marketing research process. This step establishes the framework for the entire research procedure and guarantees that the study is targeted, pertinent, and in line with the objectives of the organisation. Absent a thorough knowledge Without a clear understanding of the issue or goal, subsequent actions could be ineffective and produce meaningless outcomes. To ensure the efficiency and success of the marketing research process, it is essential to precisely describe the research challenge.

learn more about marketing here:

https://brainly.com/question/32094123

#SPJ11

Consider the following​ information:
Demand rate ​(D)320 units
per hour Lead time​ (T) 6 hours
Container capacity ​(C) 65
units Safety factor ​(x)​30%
a. The number of kanban production cards is
enter your response here.
​(Enter your response rounded up to the next whole​ number.)
Part 3
b. The cards will represent
enter your response here
​hours' worth of demand. ​(Enter your response rounded to one decimal​ place.)
Part 4
c. Suppose the lead time is reduced to
five
hours. The number of kanban production cards is
enter your response here.
​(Enter your response rounded up to the next whole​ number.)
Part 5
The cards will represent
enter your response here
​hours' worth of demand. ​(Enter your response rounded to one decimal​ place.)

Answers

Kanban Production Cards are an inventory control mechanism used to manage the flow of parts and materials into and out of a manufacturing process. They act as a trigger to initiate replenishment and typically represent the movement of a standard quantity of production stock, such as a container of parts, from one point in the manufacturing process to the next.

Kanban is a Japanese word that translates to “sign” or “card,” and the Kanban Production Card system uses cards or other visual signals to initiate replenishment when parts are consumed in the manufacturing process.

The formula to calculate the number of Kanban production cards is

:Number of Kanban Production Cards = Demand During Lead Time + Safety Stock / Container Capacity

The Demand During Lead Time is calculated as follows:Demand During Lead Time = Demand Rate * Lead Time

The Safety Stock is calculated as follows:Safety Stock = Demand Rate * Lead Time * Safety Factor

The number of Kanban production cards, in this case, is calculated as follows:

Number of Kanban Production Cards = Demand During Lead Time + Safety Stock / Container Capacity

Number of Kanban Production Cards = 320 units/hour * 6 hours + (320 units/hour * 6 hours * 30%) / 65 units

Number of Kanban Production Cards = 115 cards (rounded up to the nearest whole number)

The cards will represent 6 hours' worth of demand as calculated from the given data.

The number of Kanban production cards when the lead time is reduced to five hours is calculated as follows:

Number of Kanban Production Cards = Demand During Lead Time + Safety Stock / Container Capacity

Number of Kanban Production Cards = 320 units/hour * 5 hours + (320 units/hour * 5 hours * 30%) / 65 units

Number of Kanban Production Cards = 96 cards (rounded up to the nearest whole number)

The cards will represent 5 hours' worth of demand as calculated from the given data.

To know more about manufacturing process visit:

https://brainly.com/question/33046966

#SPJ11

A B D E F G H | Gabby Inc. produces three products. Data concerning the selling prices and unit costs of the three products appear below: С S Product A B 70 $ 50 $ 45 $ 35 $ 23 $ 6 $ 80 S Selling price Variable costs Fixed costs Grinding machine time (minutes) 50 $ 20 7 9 3 1 Fixed costs are applied to the products on the basis of direct labor hours. 2 Demand for the three products exceed the company's productive capacity. 3. The grinding machine is the constraint with only 2,400 minutes of grinding time available per 4 week. 5 6 Required: 7 a) Given the grinding machine constraint, which product should be emphasized? Support 8 your answer with appropriate calculations 9 0 b) Assuming that there is still unfilled demand for the product that the company should 1 emphazie in part (a) above, up to how much should the company be willing to pay for an 2 additional hour of grinding machine time? 3 24 25 26 - stw WN -

Answers

a) Since the grinding machine is the constraint with only 2,400 minutes of grinding time available per 4 week, which product should be emphasized?Product C: Profit = Selling Price - Variable Costs = $80 - $20 = $60 per unit.

Contribution Margin per Grinding Machine Minute (CMM) = Profit / Grinding Machine Time = $60 / 9 = $6.67 per minute.

Product A: Profit = Selling Price - Variable Costs = $70 - $50 = $20 per unit.

Contribution Margin per Grinding Machine Minute (CMM) = Profit / Grinding Machine Time = $20 / 7 = $2.86 per minute. Product B: Profit = Selling Price - Variable Costs = $45 - $35 = $10 per unit.

Contribution Margin per Grinding Machine Minute (CMM) = Profit / Grinding Machine Time = $10 / 3 = $3.33 per minute.

Therefore, based on CMM, product C should be emphasized. b) If the company wants to increase the grinding machine time by one hour.

it would have an additional 60 minutes of grinding machine time per week. Therefore, the maximum cost that the company should be willing to pay for an additional hour of grinding machine time.

Product C: $6.67 × 60

$400Product A: $2.86 × 60

$172Product B: $3.33 × 60

$200Therefore, the company should be willing to pay up

$400 for an additional hour of grinding machine time if it wants to produce more of product C.

To know more about constraint visit:

https://brainly.com/question/17156848

#SPJ11

If a Central Bank wants to increase economic activity they could all the listed answers are correct make "open market" purchases reduce the "reserve ratio" act to reduce the "overnight interest rate"

Answers

The Central Bank has the authority to lower the "overnight interest rate." The rate at which banks lend to one another overnight is known as the overnight interest rate. The Central Bank stimulates borrowing and investment by lowering this rate, which increases economic activity.

If a Central Bank wants to increase economic activity, they can take several measures. In this case, all the listed answers are correct. One way the Central Bank can stimulate economic activity is by making "open market" purchases.

This refers to the Central Bank buying government securities in the open market, which increases the money supply and encourages lending and investment by commercial banks.

Another way is by reducing the "reserve ratio." The reserve ratio is the percentage of deposits that commercial banks are required to hold as reserves. By lowering this ratio, the Central Bank allows banks to lend out more money, which stimulates economic activity through increased borrowing and spending.

Additionally, the Central Bank can act to reduce the "overnight interest rate." The overnight interest rate is the rate at which banks lend to each other overnight. By lowering this rate, the Central Bank encourages borrowing and investment, which boosts economic activity.

By implementing these measures, the Central Bank can effectively increase economic activity and promote growth.

To learn more about economic activity from the given link.

https://brainly.com/question/14545466

#SPJ11

Suppose that the wages competitive frms must pay to their workers increase. Which of the following statements is TRUE? The firms' marginal costs will rise The market supply curve will shift left and price will rise In the iong run firms will be making zero economic profits All of the above are true

Answers

If the wages competitive firms must pay to their workers increase, the statement that is true is "All of the above are true" .Explanation  :When the wages competitive firms must pay to their workers increase.

It will result in an increase in their marginal costs as well. This happens because with the increase in wages, firms have to pay more money per unit of output produced, which increases the cost of producing that unit and thus, raises the marginal cost of production.The market supply curve will shift left and the price will rise.

This is because when wages increase, firms have to pay more money per unit of output produced, which means that the cost of production has gone up. Thus, they will have to raise prices in order to maintain their profit margins.In the long run, firms will be making zero economic profits. This happens because when wages increase, the cost of production increases as well.

To know more about workers visit:

https://brainly.com/question/30203906

#SPJ11

Which Aggregate Economic Indicators can you use to establish whether we are heading into stagflation?

Answers

Stagflation refers to an economic scenario characterized by stagnant economic growth coupled with high inflation rates.

The indicators include;

1. Gross Domestic Product (GDP): GDP is a measure of the total value of all goods and services produced in a country within a given period. In a stagflation scenario. As such, a declining or stagnant GDP coupled with increasing inflation rates could be an indicator of stagflation.

2. Consumer Price Index (CPI): CPI is an economic indicator used to measure inflation rates and price changes in a basket of goods and services consumed by the average household.. As such, a high CPI index could be an early warning sign of stagflation.

3. Unemployment Rates: In a stagflation scenario, the economy experiences slow growth or contraction, which can result in high unemployment rates as companies lay off workers to reduce expenses.


4. Interest Rates: In a stagflation scenario, the central bank may increase interest rates to curb inflation rates. High-interest rates can lead to a decrease in consumer spending and a reduction in investment, which can further slow down economic growth.

5. Trade Deficits: Stagflation can also result from a trade deficit, where a country imports more goods than it exports, leading to a decrease in economic output. A trade deficit can lead to currency depreciation, leading to inflationary pressures.

In conclusion, stagflation is an economic scenario that can have a devastating effect on a country's economy. To establish whether an economy is heading into stagflation, economists and financial analysts rely on several aggregate economic indicators, including GDP, CPI, unemployment rates, interest rates, and trade deficits.

To know more about economic visit:

https://brainly.com/question/33708534

#SPJ11

Which of the following is correct?
A.Bread is an example of a good that is nonrival in consumption
B.Internet service is a good example of a price-excludable public good.
C.Clubs are a means of providing congestible public goods through markets.
D.National defense is an example of a price-excludable public good.

Answers

D. National defense is an example of a price-excludable public good. national defense is a classic example of a public good because it is non-excludable, meaning individuals cannot be excluded from benefiting from it. Additionally, it is non-rivalrous, as one person's consumption does not diminish its availability for others.

However, it is not a congestible public good like clubs, and it is not price-excludable like Internet service. National defense is typically funded through taxes, making it non-excludable based on payment.

National defense is considered a public good because it benefits society as a whole and individuals cannot be easily excluded from its protection. It is non-excludable because once the defense system is in place, everyone within the country benefits from it regardless of their contribution or willingness to pay. For example, even if someone does not pay taxes, they still receive the benefits of national defense. However, unlike Internet service, which can be priced and restricted to those who pay for it, national defense is not typically provided or funded based on individual payment.

Learn more about benefits here:

https://brainly.com/question/30267476

#SPJ11

Ben Gordon, Inc. manufactures 2 products, wheels and seats. The company has estimated its overhead in the assembling department to be $660, 000. The company produces 300, 000 wheels and 600, 000 seats each year. Each wheel uses 2 parts, and each seat uses 3 parts. How much of the assembly overhead should be allocated to wheels? $165, 000. $220, 000. $264, 000. $282, 856.

Answers

The amount of the assembly overhead that should be allocated to wheels is A) $165,000.

How the overhead allocation is determined:

The amount of the assembly overhead to be allocated to wheels and seats should be determined as follows:

Estimated total overhead = $660,000

Production Units:

Wheels = 300,000

Seats = 600,000

Total Parts Used:

Wheels = 600,000 (300,000 x 2)

Seats = 1,800,000 (600,000 x 3)

Total parts = 2,400,000

Overhead allocation rate = $0.275 ($660,000/2,400,000)

Overhead Allocation:

Wheels = $165,000 ($0.275 x 600,000)

Seats = $495,000 ($0.275 x 1,800,000)

Learn more about overhead allocation at https://brainly.com/question/26475885.

#SPJ4

which types of statements are more likely to occur agreement among economists: Normative and microeconomics related Positive and macroeconomics related Normative and macroeconomics related Positive and microeconomics related

Answers

Among economists, positive statements are more likely to reach agreement than normative statements.

Positive and microeconomics-related statements are the types of statements that are more likely to occur agreement among economists. In economics, positive and normative statements are the two types of statements. Positive statements are those that are based on factual evidence and data. They are statements that are either true or false and can be tested and verified. Positive statements describe how things are, and they are objective and empirical.

For example, "The price of a gallon of gasoline is currently $3.00," is a positive statement.Normative statements, on the other hand, are subjective and cannot be verified using data. They are based on opinions and values, and they describe how things ought to be.

Normative statements are based on personal beliefs and are not testable. For example, "The government should provide free healthcare for all citizens," is a normative statement.

Know more about the microeconomics

https://brainly.com/question/28183019

#SPJ11

james is willing to pay $400 for a new suit, but he is able to buy the suit for $250. his consumer surplus is a)$650. b)$150. c)$250 d)$400.

Answers

B) $150 Consumer surplus is the difference between the maximum price a consumer is willing to pay for a product and the actual price they pay.

In this case, James is willing to pay $400 for the suit but can buy it for $250. Therefore, his consumer surplus is the difference between these two amounts, which is $400 - $250 = $150. Consumer surplus represents the additional benefit or value that consumers receive when they are able to purchase a product at a price lower than what they are willing to pay. It is a measure of the economic welfare or satisfaction that consumers gain from a transaction.In this scenario, James is experiencing a consumer surplus of $150 because he is obtaining the suit for a price that is $150 less than his maximum willingness to pay. This means that he is receiving a benefit of $150 in terms of the value he perceives from the suit beyond the price he pays.

learn more about Consumer here :

https://brainly.com/question/33474331

#SPJ11

the ceo of the company you analyzed informs you that some of the
executive managers are getting into conflicting situations trying
to agree if they should adopt organizational change or innovation.
wh

Answers

Organizational change and innovation are necessary in any business that wants to remain competitive and successful.

While they are distinct, the two ideas are closely related and can be implemented together. It's important to understand the differences between organizational change and innovation in order to make an informed decision about which to pursue.

Organizational change refers to the process of restructuring a company's internal operations, procedures, and systems. This could include anything from implementing new technologies, changing work processes, to hiring new employees or moving to a new location. The goal of organizational change is to improve efficiency and effectiveness, reduce costs, and increase profitability.

On the other hand, innovation refers to the process of developing new products, services, or business models. Innovation can be in the form of new products that meet customer needs, improvements to existing products, or the development of entirely new products. The goal of innovation is to stay ahead of the competition, increase revenue, and attract new customers.

If some of the executive managers are getting into conflicting situations trying to agree on whether to adopt organizational change or innovation, it's important to recognize that both are necessary for success. Organizational change can help create an environment that is more conducive to innovation, while innovation can lead to organizational change by introducing new ideas and technologies.

To Know more about increase profitability.

https://brainly.com/question/31865083

#SPJ11

Include a development plan for the two development areas identified in your course reflection. The Professional Development Plan will be developed from the insights, ideas and inspirations captured throughout the course. Draw from your journals, the course readings and lessons from the course to identify specific professional development goals and plans in the two areas you identified What is included in your plan? - Goals - identifying specific opportunities for personal "soft skills" development. - Rationale - articulating why the proposed changes are important to your professional development and necessary in order to reach your professional goals. - Action plans - outlining specific actions or new behaviours, and/or identifying concrete ways to learn, practice and improve. This is where you put your plan into practice: these are steps you will take to develop your "soft skills" now and in the future. - Outcomes - describing the specific benefits or improvements that can realistically result from attaining your personal development goals. Knowing what you are working toward and why you are working toward it can increase persistence. Focus for Development Plan This development plan is in support of: Expanding Self Awareness - MBTI Expanding Self Awareness - Emotional Intelligence Providing Constructive Feedback Navigating Conflict Team Development Facilitating Inclusive Teams Intercultural Awareness and Communication A topic of my choice Professional Development Goal My opportunity for change or development. Rationale Why is this important to my personal development? How will this enhance thy career? Action Plans (immediate) How will I begin developing thisgoal - this month? Action Plans (immediate) How will I begin developing this goal - this month? Action Plans ( 6 months) How will buid on this improvement E months from now? Expected Outcomes What improvements should i see at the end of 12 moriths? How will iknow I dhieved my goal?

Answers

Development Plan:

1. Enhance emotional intelligence through self-reflection, active listening, and seeking feedback.

2. Foster inclusive teams by educating myself, seeking diverse perspectives, and implementing inclusive practices.

Expected outcomes: Improved self-awareness, effective communication, inclusive work environment, and better team performance.

Development Plan:

Development Area 1: Expanding Self-Awareness - Emotional Intelligence

Goal: Enhance my emotional intelligence to improve self-awareness and interpersonal skills, leading to more effective communication and collaboration.

Rationale: Emotional intelligence is crucial for professional success as it enables better understanding of oneself and others, fostering empathy and effective relationships. Developing this skill will improve my leadership abilities, enhance teamwork, and enable me to navigate challenging situations more effectively.

Action Plans (Immediate): Engage in self-reflection exercises, practice active listening, and seek feedback from colleagues to gain insights into my emotional reactions and behaviors. Attend workshops or seminars on emotional intelligence.

Action Plans (6 months): Continue practicing self-reflection and actively seek opportunities to empathize with others. Implement strategies for managing emotions in high-pressure situations. Seek out a mentor or coach for guidance and support.

Expected Outcomes: Improved self-awareness, better understanding and management of emotions, enhanced empathy and interpersonal skills. Increased ability to navigate complex relationships and resolve conflicts effectively.

Development Area 2: Facilitating Inclusive Teams

Goal: Enhance my ability to foster inclusive teams by promoting diversity, equity, and inclusion in the workplace.

Rationale: Inclusive teams drive innovation, productivity, and employee satisfaction. Developing this skill will allow me to create a collaborative and respectful work environment that embraces diverse perspectives and experiences.

Action Plans (Immediate): Educate myself on unconscious biases and diversity-related topics through online courses or reading materials. Actively seek out diverse perspectives in team discussions and encourage open dialogue.

Action Plans (6 months): Act as an advocate for diversity and inclusion by participating in diversity initiatives or employee resource groups. Implement inclusive practices in team meetings and decision-making processes. Mentor or support colleagues from underrepresented backgrounds.

Expected Outcomes: Increased awareness of unconscious biases, active promotion of diversity and inclusion, creation of a more inclusive and equitable work environment. Enhanced ability to leverage diverse talents and perspectives for better team performance and outcomes.

Learn more about Development Plan here:

https://brainly.com/question/30587475

#SPJ11

Discuss the North-South gap in terms of economic development, environmental issues, security and migration and explain how the Biden Administration addresses these issues from the perspective of US interests

Answers

The North-South gap refers to the difference between the northern hemisphere countries, which are typically more prosperous, and the southern hemisphere countries, which are generally less developed. This gap has implications for economic development, environmental issues, security, and migration. The Biden Administration is seeking to address these issues from the perspective of US interests by implementing policies that aim to promote economic growth, protect the environment, enhance security, and manage migration.

Economic development: The North-South gap is evident in the differences in economic development between countries. The northern hemisphere is home to many developed economies, while the southern hemisphere has many developing economies. The Biden Administration is working to close this gap by promoting trade and investment in developing countries, providing development assistance, and supporting efforts to reduce poverty and inequality.

Environmental issues: The North-South gap also manifests itself in environmental issues. Developing countries are often more vulnerable to the negative impacts of climate change and environmental degradation than developed countries. The Biden Administration is addressing this issue by promoting clean energy and environmental sustainability, both domestically and internationally.

Security: The North-South gap also has implications for security. Many developing countries are plagued by conflict, terrorism, and other security challenges. The Biden Administration is working to address these issues by providing security assistance, promoting democracy and human rights, and supporting peacekeeping efforts.

Migration: The North-South gap also fuels migration, as people from developing countries seek better economic opportunities and greater security in developed countries. The Biden Administration is addressing this issue by promoting legal immigration, improving border security, and addressing the root causes of migration by providing development assistance and promoting stability in developing countries.

In conclusion, the North-South gap has significant implications for economic development, environmental issues, security, and migration. The Biden Administration is addressing these issues from the perspective of US interests by promoting economic growth, protecting the environment, enhancing security, and managing migration.

To know more about environmental visit:

https://brainly.com/question/21976584

#SPJ11

The Ohm Depot Co. is currently considering the purchase of a new machine that would increase the speed of manufacturing electronic equipment and save money. The net cost of the new machine is $ 66,000. The annual cash flows have the following projections:
Year Amount ($)
0 ( 66,000)
1 21,000
2 29,000
3 36,000
4 16,000
5 8,000
If the cost of capital is 10 percent, find the following:
a. The NPV
b. The IRR_
c. Payback_

Answers

The net present value (NPV), internal rate of return (IRR), and payback for Ohm Depot Co. if it purchases a new machine that will increase the speed of manufacturing electronic equipment and save money and costs $66,000 are to be calculated. The projected annual cash flows for five years are as follows:

Year ,Amount ($)0(66,000)121,000229,000336,000416,00058,000.

To find out the NPV of the company, the following formula can be used:

NPV = CF1 / (1 + r)1 + CF2 / (1 + r)2 + CF3 / (1 + r)3 + CF4 / (1 + r)4 + CF5 / (1 + r)5 – CoI

n this formula,

CF stands for cash flow for each year (1 to 5),

r stands for the discount rate, and Co is the cost of the investment in the machine which is $66,000.

Using the above formula and by placing the values, the NPV can be calculated as follows:

NPV = 21,000 / (1 + 0.10)1 + 29,000 / (1 + 0.10)2 + 36,000 / (1 + 0.10)3 + 16,000 / (1 + 0.10)4 + 8,000 / (1 + 0.10)5 – 66,000

= $12,551.44

(to the nearest cent)Now, to calculate the internal rate of return (IRR), we must calculate the discount rate (r) that makes the NPV equal to zero. We'll use trial and error to find the discount rate that produces an NPV of zero. We'll begin with a discount rate of 5 percent and gradually increase it until the NPV is close to zero.By using this method, the IRR is calculated to be 17.12 percent (approximately)Now, to calculate the payback, we'll keep adding the cash flows until we have enough money to recover our initial investment. In this case, since we're investing $66,000 and we're receiving the following yearly cash flows:

Year ,Amount ($)0(66,000)121,000229,000336,000416,00058,000

We can see that the year 4 cash flow is $16,000, and the year 5 cash flow is $8,000.

This totals to $24,000. If we add the year 3 cash flow of $36,000, we have a total of $60,000, which exceeds our $66,000 initial investment.

Therefore, the payback period for this investment is 3 years plus the ratio of the remaining $6,000 to the $36,000 cash flow in year 3

(i.e., $6,000 ÷ $36,000 = 0.17 years).
Thus, the payback period is approximately 3.17 years (to the nearest hundredth).Hence,
NPV = $12,551.44,

IRR = 17.12 percent (approximately),

and the payback period is approximately 3.17 years.

To know more about NPV visit:

https://brainly.com/question/33034124

#SPJ11

The corridor approach is used to amortize
A. the over/underfunded status of a pension plan.
B. benefit payments in excess of employer contributions.
C. prior service cost obligations.
D. actual return

Answers

Answer:

Corridor amortization is a term used when the organization's unrealized net gain or net loss exceeds 10% of the opening balance of defined benefit obligation as prescribed under the IASB criterion. The difference amount between the two should be amortized in a pension worksheet by the organization.

2. when analyzing the change during the year in each noncash account to determine its net increase or decrease, it is more efficient to begin with

Answers

When analyzing the change during the year in each noncash account to determine its net increase or decrease, it is more efficient to begin with accounts receivable.  The correct option is D.

Accounts Receivable represents the amounts owed to a company by its customers for goods or services provided on credit. By starting with Accounts Receivable, you can assess the changes in the amounts owed to the company throughout the year, which directly impacts its cash flow and overall financial performance. Analyzing Accounts Receivable allows to track the inflows and outflows of cash resulting from credit sales and collections.

Thus, the ideal selection is option D.

Learn more about accounts receivable here:

https://brainly.com/question/13230311

#SPJ4

The complete question might be:

When analyzing the change during the year in each noncash account to determine its net increase or decrease, it is more efficient to begin with

A Accounts Payable.

B Retained Earnings.

C Accumulated Depreciation.

D Accounts Receivable.

Nipigon Manufacturing has a cost of debt of 9 %, a cost of equity of 13%, and a cost of preferred stock of 10%. Nipigon currently has 100,000 shares of common stock outstanding at a market price of $25 per share. There are 49,000 shares of preferred stock outstanding at a market price of $40 a share. The bond issue has a face value of $800,000 and a market quote of 106. The company’s tax rate is 40%.
Required:
Calculate the weighted average cost of capital for Nipigon. You must show and clearly label all calculations to receive full marks. You can enter them in the space below or upload them to the drop box in the Assignments Area.

Answers

The weighted average cost of capital (WACC) can be calculated by weighting the cost of each capital source by its percentage of total capital. The formula for calculating WACC is shown below:WACC = (w1 x k1) + (w2 x k2) + (w3 x k3)where:w1, w2, w3 = the respective weights of debt, preferred stock, and common equityk1, k2, k3 = the respective costs of debt, preferred stock, and common equity.

The percentage of each capital source in the company's capital structure must be determined first, then the cost of each capital source must be calculated. To calculate the WACC, the weighted average of these costs will be used. Here are the calculations and explanations for each component:Cost of debt = 9%Because the bond issue's market value is different from its face value, the yield to maturity must be calculated before the cost of debt can be determined. = $848,000(106% of $800,000 face value)= $898,880Market Value of Bond = $898,880Yield to maturity is calculated using a financial calculator. A financial calculator was used to determine a yield to maturity of 7.49%. To calculate the cost of debt, multiply this figure by (1 - the tax rate):Cost of debt = 7.49%(1 - 0.40) = 4.494%Cost of preferred stock = 10%Market Value of preferred stock = 49,000 × $40 = $1,960,000Cost of preferred stock = $4.90Cost of common equity = 13%Market value of common equity = 100,000 × $25 = $2,500,000The capital structure of Nipigon is now shown in the table below:Source of Capital Market Value Weight CostDebt $898,880 21.17% 4.494%Preferred Stock $1,960,000 46.20% 10%Common Stock $2,500,000 32.63% 13%Total $4,359,880 100.00%Using the WACC formula and the capital structure weights and costs given above, the WACC for Nipigon Manufacturing is calculated as follows:WACC = (0.2117 x 4.494%) + (0.4620 x 10%) + (0.3263 x 13%)= 1.05% + 4.62% + 4.24%= 9.91%.

Therefore, Nipigon Manufacturing's weighted average cost of capital (WACC) is 9.91%. Hence, the solution to the problem is as follows:WACC=9.91%Answer: 9.91%.

To know more about average cost of capital visit:

https://brainly.com/question/8287701

#SPJ11

The Peridot Company purchased machinery on January 2, 2019, for $970,000. A five-year life was estimated and no residual value was anticipated. Peridot decided to use the straight-line depreciation method and recorded $194,000 in depreciation in 2019 and 2020. Early in 2021, the company revised the total estimated life of the machinery to eight years.
Required:
1. What type of change is this?
2. Is Peridot required to revise prior years’ financial statements as a result of the change?
3. Is Peridot required to provide a disclosure note to report the change?
4. Determine depreciation for 2021.

Answers

1. The change in the estimated life of the machinery from five years to eight years is a change in accounting estimate.

2. Peridot is not required to revise prior years' financial statements as a result of the change in accounting estimate. Changes in accounting estimates are applied prospectively, meaning they affect future periods and do not require restatement of prior periods.

3. Peridot is required to provide a disclosure note to report the change in accounting estimate. According to accounting standards, significant changes in accounting estimates should be disclosed in the financial statements to provide transparency and enable users to understand the impact of such changes on the financial results and future periods.

4. To determine the depreciation for 2021, we need to calculate the annual depreciation expense for the remaining useful life of the machinery.

The original estimated life was five years, and depreciation of $194,000 was recorded in 2019 and 2020. Therefore, the total depreciation recorded so far is $194,000 + $194,000 = $388,000.

To calculate the annual depreciation expense for the remaining three years (2021, 2022, and 2023), we can subtract the accumulated depreciation from the initial cost of the machinery:

Initial cost of the machinery: $970,000

Accumulated depreciation: $388,000

Remaining book value: $970,000 - $388,000 = $582,000

Depreciation expense for 2021 and subsequent years will be allocated over the remaining useful life of the machinery, which is now eight years. Therefore, the annual depreciation expense for 2021 would be:

Depreciation expense for 2021 = Remaining book value / Remaining useful life

Depreciation expense for 2021 = $582,000 / 3 years

Depreciation expense for 2021 = $194,000

Learn more about calculate  here:

https://brainly.com/question/27846658

#SPJ11

a. "Leasing reduces risk and can reduce a firm's cost of capital". Discuss briefly with TWO (2) supported reasons if you agree or disagree with the statement. (8 Marks)

Answers

Leasing is an agreement that allows a firm to use an asset for a specific period without purchasing it. The asset is owned by the lessor, and the lessee pays a lease payment for the asset’s use. Leasing reduces risk and can reduce a firm's cost of capital.

The following are the two reasons for supporting this statement:

Reduced Risk: Leasing decreases a company's risk in several ways. One way is by transferring the risk of the asset's ownership to the lessor. As a result, the lessee does not have to bear the risk of owning the asset. Leasing reduces the risks associated with technology obsolescence and asset resale because the lessor is responsible for the asset's disposition and replacement with new technology.

Cost of Capital Reduction: Leasing reduces a firm's cost of capital by providing an alternative financing source. Leasing is an excellent option for companies with high borrowing rates or insufficient creditworthiness. Leasing provides a lower-cost alternative to traditional bank loans. Because the lessor owns the asset and can take back the asset if the lessee fails to pay, the lease rates are often lower than other debt sources. In addition, lease payments are tax-deductible, providing additional savings. The above-discussed points support the statement that "Leasing reduces risk and can reduce a firm's cost of capital." Leasing not only lowers the costs of a company's capital, but it also helps a company to minimize its risk exposure.

To know more about Leasing visit :-
https://brainly.com/question/22785840
#SPJ11

Laura is willing to pay as much as $1,000 for a wedding dress but is happy to find one she likes that costs $300.

Select the term below that corresponds to this situation.

Consumer surplus

Producer surplus

Ceteris paribus

Equilibrium

Answers

Laura is willing to pay as much as $1,000 for a wedding dress but is happy to 'Consumer surplus' one she likes that costs $300. Thus, option (a) is correct.

The gap between the utmost price a consumer is prepared to pay and the final price they pay is known as the consumer surplus. In this instance, Laura would have been willing to spend up to $1,000 on a wedding gown, but she only spends $300, leaving her with a $700 consumer surplus.

A market's efficiency can be assessed using the concept of consumer surplus, which quantifies the benefit that consumers derive from a transaction.

Therefore, option (a) is correct.

Learn more about on consumer surplus, here:

https://brainly.com/question/29025001

#SPJ4

10.22 for 10.22% and 11.44 for 11.442%.) Hint: It may be useful to think of Nominal GDP as being equal to P multiplied by Y, where P is the price index and Y is real GDP.

Answers

In conclusion, we can calculate the nominal GDP by multiplying the price level by the real GDP.

The price level is determined by the inflation rate, and the real GDP is adjusted for inflation.

Nominal GDP is the total economic output of a country calculated using current prices, and it includes the effect of inflation and changes in prices. In order to determine the nominal GDP, we need to know both the price level and the real GDP.

Nominal GDP is calculated by multiplying the price level by the real GDP. In other words, Nominal GDP = Price Level x Real GDP.

Then we can calculate the nominal GDP as follows:

Nominal GDP = Price Level x Real GDP

Nominal GDP [tex]= (1 + 0.1022) x $1,000[/tex]

Nominal GDP = 1[tex].1022 x $1,000[/tex]

Nominal GDP = $1,102.20

Similarly, if we assume that the real GDP is $1,000 and the price level is 1.11442, we can calculate the nominal GDP as follows:

Nominal GDP = Price Level x Real GDP

Nominal GDP =[tex]1.11442 x $1,000[/tex]

Nominal GDP = $1,144.42

To know more about GDP visit:

https://brainly.com/question/30504843

#SPJ11

The ability to produce a product most efficiently given all the other products that could be produced is called________.



a. Absolute advantage.


b. Comparative advantage.


c. Human capital.


d. Physical capital

Answers

The ability to produce a product most efficiently given all the other products that could be produced is called comparative advantage. Thus, option B is the correct option.

The ability to produce a product most efficiently given all the other products that could be produced is indeed called comparative advantage. It refers to a situation where an entity, be it a country, individual, or company, can produce a specific good or service at a lower opportunity cost compared to others. It is based on the idea of trade-offs and efficiency in resource allocation.

By focusing on producing goods or services where they have a comparative advantage, entities can maximize their productivity and allocate resources more efficiently, ultimately leading to increased economic output and potential gains from trade in the global marketplace. Comparative advantage is a fundamental concept in international trade theory.

Learn more about Comparative advantage here:

https://brainly.com/question/7780461

#SPJ4

El Oceano operates more than 770 casual dining restaurants in the United States, Mexico and Canada, employing more than 59,000 people. By developing a new business strategy to focus on its values ​​and enhance its image, El Oceano established a new vision, mission, and goals for the company. The restaurant chain streamlined its menu with the highest quality seafood it could offer at mid-range prices; he swapped the tropical themes of his restaurants for a clean, crisp style, with white shirt and black pants uniforms for his employees; and added coastal imagery to its menu and website.
Executing the new mission and differentiation strategy required hiring fun people, people with a hospitality mindset who share the values ​​of El Oceano.
Although El Oceano had not had any problems hiring restaurant managers, the company felt that the managers it hired did not always reflect El Oceano's strategy, vision, mission, and values. The company also realized that its previous job descriptions did not reflect the passion required of its employees to deliver on its new strategy.
Present what the specific standards are and what other details you would include in the job description and specification.
Present how you would go about developing a standard job description.
Present what method you would use to collect the information and which are the members of the organization from whom you would collect useful information about the requirements for the job presented.

Answers

Job description and specification for El Oceano Job Title: Restaurant Manager

Reports To: Regional Director Department: Operations Location: United States, Mexico and Canada Summary:

The Restaurant Manager is responsible for managing all restaurant operations, driving sales, maintaining excellent service quality, and ensuring compliance with all policies and procedures.

The Restaurant Manager is responsible for hiring, training, scheduling, and supervising staff, maintaining inventory levels, managing costs, and ensuring guest satisfaction. Essential Functions: Ensures a positive guest experience by maintaining excellent service standards.

Hires, trains, schedules, and supervises staff. Ensures compliance with all policies and procedures. Ensures that the restaurant is clean, organized, and well-maintained.

Conduct a job analysis: Conduct a job analysis to gather data about the job, including job duties, skills, and qualifications.

Create a job description template: Create a job description template that includes the job title, department, location, summary, essential functions, qualifications, and other details.

Review job descriptions: Review other job descriptions within the organization to ensure consistency and compliance with policies and procedures.

Collect information from stakeholders: Collect information from stakeholders, including the hiring manager, human resources, and other members of the organization.

Conduct interviews: Conduct interviews with stakeholders to gather information about the job and its requirements.

Observation: Observe employees performing the job to gather information about job duties and tasks.

Questionnaires: Administer questionnaires to employees to gather information about job requirements.

To Know more about Restaurant Manager

https://brainly.com/question/5894844

#SPJ11

a 45-year-old woman decides to put funds into a retirement plan. she can save $2,000 a year and earn 6 percent on this savings. how much will she have accumulated if she retires at age 65? at retirement how much can she withdraw each year for 20 years from the accumulated savings if the savings continue to earn 6 percent?

Answers

The woman will have accumulated approximately $73,666.66 and the withdrawal will be approximately $6,409 each year for 20 years from the accumulated savings.

The woman saves $2,000 per year for 20 years (from age 45 to age 65) and earns a 6% annual interest rate.

Using the formula for the future value of an ordinary annuity:

[tex]Future Value = P * [(1 + r)^n - 1] / r[/tex]

Where:

P = Annual savings amount

r = Interest rate per period

n = Number of periods

P = $2,000

r = 6% = 0.06

n = 20

[tex]Future Value = 2,000 * [(1 + 0.06)^{20} -1] / 0.06[/tex]

[tex]Future Value = 2,000 * (1.06^{20} - 1) / 0.06[/tex]

Future Value = 2,000 * (3.21 - 1)/0.06

Future Value = 2,000 * (2.21)/0.06

Future Value = 2,000* 36.8333

Future Value ≈ $73,666.66

Thus, the woman will have accumulated approximately $73,666.66 at retirement.

Next, let's calculate the amount she can withdraw each year for 20 years from the accumulated savings, assuming it continues to earn a 6% annual interest rate:

Using the formula for the present value of an ordinary annuity:

Present Value = P * [(1 - (1 + r)^(-n)) / r]

Where:

P = Annual withdrawal amount

r = Interest rate per period

n = Number of periods

Rearrange the formula:

[tex]P = Present Value * [r / (1 - (1 + r)^{(-n)})][/tex]

Put the values in the formula

[tex]P = 73,666.66* [0.06 / (1 - (1 + 0.06)^{(-20)})][/tex]

[tex]P = 73,666.66* [0.06 / (1 - (1.06)^{(-20)})][/tex]

[tex]P = 73,666.66* [0.06 / (1 - 0.312)][/tex]

P = 73,666.66 * [0.06/0.688]

P = 73,666.66 * [.087]

P ≈ $6,409

Thus, the woman can withdraw approximately $6,409 each year for 20 years from the accumulated savings, assuming it continues to earn a 6% annual interest rate.

Learn more about the accumulated withdrawals here:

https://brainly.com/question/32585473

#SPJ4

Net Present Value (NPV) uses valuations of present values of a stream of income to discount to today’s dollars to compare to our investment today. Provide an analysis of the use of NPV within a corporation and prepare an example (with calculations) for how an organization would use NPV in a project decision.
Within professional sports contracts, contracts are often created to function similar to a bond where players will receive defined cash flows over time. Consider an NFL player (real or fabricated) and explain their contract in terms of TVM and provide an example to explain how these cash flows must be discounted to today’s dollars.

Answers

Net Present Value (NPV) is a valuable investment appraisal technique that can be used to determine the present value of future cash flows.

This technique uses the concept of Time Value of Money (TVM), which considers the value of money over time due to inflation and other factors.

NPV is used by corporations to evaluate potential investment opportunities and determine whether a project is worth investing in or not.

To calculate NPV, an organization would estimate the future cash flows expected from the project and discount them back to the present using a discount rate that reflects the cost of capital.

If the NPV is positive, the project is considered worth investing in as it is expected to generate a return that exceeds the cost of capital.

If the NPV is negative, the project is not worth investing in as it is expected to generate a return that is less than the cost of capital. A real-world example of the use of NPV would be a company considering investing in a new factory.

To know more about appraisal visit:

https://brainly.com/question/32118196

#SPJ11

Net Present Value (NPV) is an analysis of the use of NPV within a corporation and how an organization would use NPV in a project decision. NPV involves determining the present value of a project’s cash flows and deducting it from the initial investment.

The project’s net present value is determined by comparing the current value of the cash inflows to the current value of the cash outflows to determine whether the project is worth the investment.In a corporation, NPV is used to evaluate long-term investments, such as capital expenditures, and determine whether they are worth pursuing. Organizations use NPV to compare the cost of capital with the return on investment (ROI) for the project. If the net present value is positive, the project is worth investing in because it will generate a return that exceeds the cost of capital.

Conversely, if the net present value is negative, the project will not be profitable.An example of how an organization might use NPV in a project decision is as follows:Suppose that an organization is considering investing in a new project that will generate $100,000 in annual revenue for the next five years. The project requires an initial investment of $250,000. Assuming a discount rate of 10%, the NPV of the project is:Year 1: $100,000/(1 + 0.10)¹ = $90,909.09 Year 2: $100,000/(1 + 0.10)² = $82,644.63 Year 3: $100,000/(1 + 0.10)³ = $75,131.48 Year 4: $100,000/(1 + 0.10)⁴ = $68,301.34 Year 5: $100,000/(1 + 0.10)⁵ = $62,099.40 NPV = -$250,000 + $90,909.09 + $82,644.63 + $75,131.48 + $68,301.34 + $62,099.40= $28,086.94

To know more about corporation visit:

https://brainly.com/question/30029715

#SPJ11

Quantitative Problem: 5 years ago, Barton Industries issued 25-year noncallable, semiannual bonds with a $1,000 face value and a 9% coupon, semiannual payment (\$45 payment every 6 months). The bonds currently sell for $844.87. If the firm's marginal tax rate is 25%, what is the firm's after-tax cost of debt? Do not round intermediate calculations. Round your answer to two decimal places. %

Answers

Barton Industries issued 25-year noncallable, semiannual bonds with a $1,000 face value and a 9% coupon, semiannual payment (\$45 payment every 6 months).

The bonds are currently sold for $844.87. If the firm's marginal tax rate is 25%, then what is the firm's after-tax cost of debt?We know that,Current market price of bond = $844.87.

Face value of bond = $1000

Coupon payment = $45

Coupon rate = 9%

Tax rate = 25%.

[tex]First, let us calculate the YTM of the bond.Using excel function, YTM = 6.3% (approx)[/tex]

[tex]After-tax cost of debt = YTM × (1 - Tax rate) = 6.3% × (1 - 0.25) = 4.725%[/tex]

[tex]Answer: The after-tax cost of debt is 4.725%.[/tex]

To know more about noncallable visit:

https://brainly.com/question/29975597

#SPJ11

Beauty Cosmetic produces hair tonic through two manufacturing processes; Mixing and Packaging. Production begins in the Mixing Department where materials are added at the beginning of the process and conversion costs are incurred uniformly throughout the process. The company uses a weighted average process costing system to accumulate production and cost data. On 1 January 2022, the beginning work in process inventory consist of 13,000 units, which were 40% complete. The company incurred a total cost of RM255,575 and RM220,800 of which were materials costs. Cost and production data for the month of January are as follows: Materials added Conversion costs incurred Units completed and transferred out in January Units in ending work in process on 31 January (70% complete) ​
RM309,450 RM176,800 26,250
9,000

Required (a) Compute the physical units, equivalent units of production for materials and conversion costs in the Mixing Department for the month of January. Show all your workings. (b) Compute the costs assigned to the ending work in process inventory on 31 January. Show all your workings. (c) Compute the costs accounted for the month of January. Show all your working.

Answers

Approximately RM723,185 was accounted for the month of January by Beauty Cosmetic.

A. Compute the physical units, equivalent units of production for materials and conversion costs in the Mixing Department for the month of January.

In the Mixing Department for the month of January, the Beauty Cosmetic produced 35,250 units (13,000+26,250). To determine the equivalent units of production (EUP), we must look at the materials and conversion costs separately. Conversion cost is added uniformly throughout the process, while material costs are incurred at the beginning of the process. Therefore, the EUP of materials and conversion costs would differ.

1. Calculation of EUP of Materials:

Units completed in the month of January= 26,250 units

Units in ending work in process inventory= 9,000 units

Total units= 35,250 units

Material cost added in January= RM309,450

Cost of beginning work in process inventory= RM220,800

Total Cost= RM530,250

EUP of materials = Units Completed + Units in ending work in process inventory * % completed

Material Cost = 26,250 + 9,000 * 70%

= 32,400 RM309,450

EUP of Material = 32,400 units

2. Calculation of EUP of Conversion Costs:

Conversion cost is added uniformly throughout the process. The total number of units processed in January was 35,250.

Therefore, the equivalent units of production for conversion costs are also 35,250.

B. Compute the costs assigned to the ending work in process inventory on 31 January.

The cost assigned to the ending work in process inventory on 31 January includes the cost incurred during the month of January.

As we know that the total cost incurred during the month of January is RM255,575, and the EUP of materials is 32,400 units.

Therefore, the cost per unit for materials is RM255,575 / 32,400 = RM7.88 (approx).

Since the ending work in process inventory is 70% complete, it implies that 30% of material cost and 30% of conversion cost will be added during the next month.

The cost assigned to the ending work in process inventory is:

RM7.88 x 9,000 x 70% = RM62,640 C. Compute the costs accounted for the month of January.

Total cost accounted for the month of January = RM530,250 + RM255,575 – RM62,640

= RM723,185

To know more about inventory visit:

https://brainly.com/question/31827018

#SPJ11

B2B Company is considering the purchase of equipment that would allow the company to add a new product to its line. The equipment costs $377,600 and has a 8 -year life and no salvage value. B2B Company requires at least an 9% return on investment. The expected annual income for each year from this equipment follows: ( PV of $1,FV of $1, PVA of $1, and (Use appropriate factor(s) from the tables provided.) (a) Compute the net present value of this investment. (b) Should the investment be accepted or rejected on the basis of net present value? Complete this question by entering your answers in the tabs below. Compute the net present value of this investment. (Round your present value factor to 4 decimals and other final answers to the nearest whole dollar.)

Answers

a) The net present value (NPV) of the investment is -$33,345.96.

To calculate the NPV, we need to discount the expected annual income using the appropriate discount rate. The discount rate is given as 9%. Using the present value of an annuity (PVA) factor from the tables provided, we can calculate the present value (PV) of each year's income.

Then, we sum up the present values and subtract the initial cost of the equipment. The NPV is negative, indicating that the investment does not meet the minimum required return of 9%.

(b) The investment should be rejected based on the net present value.

The net present value measures the profitability of an investment by comparing the present value of cash inflows to the initial cost. In this case, the NPV is negative, indicating that the investment is expected to generate less than the required return of 9%.

As a result, accepting the investment would result in a loss. Therefore, it is advisable for the B2B Company to reject this investment based on the net present value analysis.

To learn more about cash inflows

Click here brainly.com/question/10714011

#SPJ11

a) The net present value (NPV) of the investment is -$33,345.96.

To calculate the NPV, we need to discount the expected annual income using the appropriate discount rate. The discount rate is given as 9%. Using the present value of an annuity (PVA) factor from the tables provided, we can calculate the present value (PV) of each year's income.

Then, we sum up the present values and subtract the initial cost of the equipment. The NPV is negative, indicating that the investment does not meet the minimum required return of 9%.

(b) The investment should be rejected based on the net present value.

The net present value measures the profitability of an investment by comparing the present value of cash inflows to the initial cost. In this case, the NPV is negative, indicating that the investment is expected to generate less than the required return of 9%.

As a result, accepting the investment would result in a loss. Therefore, it is advisable for the B2B Company to reject this investment based on the net present value analysis.

Learn more about value here-

brainly.com/question/10714011

#SPJ11

which economic system is mostly closely Associated with the activities shown in this art work? A) manorialism B) capitalism C) communism D) socialism

Answers

The economic system that is most closely associated with the activities shown in the artwork is manorialism. Manorialism was a system in which landowners provided shelter and protection to peasants or serfs, who worked on the land in exchange for housing, protection, and a portion of the crops they produced.

The lord of the manor controlled the economic and social life of the peasants.

The artwork depicts a scene of peasants working in a field, which is a typical example of the activities that would take place under the manorialism system.

Therefore, option A) manorialism is the correct answer.

To know more about economic visit:

https://brainly.com/question/32861646

#SPJ11

"
please do not give the same answer as the other 2 questions
posted. they are wrong
1. (2 marks) Consider preferences defined over the nonnegative orthant by \( \left(x_{1}, x_{2}\right) \succeq\left(y_{1}, y_{2}\right) \) if and only if \( \left(2 x_{1}+x_{2}\right)^{3} \geq\left(2 "

Answers

Preferences defined over the nonnegative orthant are as follows:

Consider preferences defined over the nonnegative orthant by[tex]\( \left(x_{1}, x_{2}\right) \succeq\left(y_{1}, y_{2}\right) \) if and only if \( \left(2 x_{1}+x_{2}\right)^{3} \geq\left(2 y_{1}+y_{2}\right)^{3} \).[/tex]

Prove that the above preference relation satisfies the following properties:

[tex]Complete: If \(x \succeq y\), then either \(x \succeq y\) or \(y \succeq x\).Reflexive: \(x \succeq x\) for all \(x\).Transitive: If \(x \succeq y\) and \(y \succeq z\), then \(x \succeq z\).[/tex]

Proof: First, we will show that this relation is complete. Suppose that \(x\) and \(y\) are two points in the nonnegative orthant.

Then, we have two possibilities:[tex]\(\left(2 x_{1}+x_{2}\right)^{3} \geq\left(2 y_{1}+y_{2}\right)^{3}\), in which case \(x \succeq y\).\(\left(2 y_{1}+y_{2}\right)^{3} \geq\left(2 x_{1}+x_{2}\right)^{3}\), in which case \(y \succeq x\).[/tex]

Thus, the relation is complete.

Now, we will show that the relation is reflexive. Let \(x\) be any point in the nonnegative orthant. Then,[tex]\(\left(2 x_{1}+x_{2}\right)^{3} =\left(2 x_{1}+x_{2}\right) \cdot\left(2 x_{1}+x_{2}\right) \cdot\left(2 x_{1}+x_{2}\right) \geq 0\)So, \(x \succeq x\) for all \(x\).[/tex]

Finally, we will show that the relation is transitive. Suppose that \(x\), \(y\), and \(z\) are points in the nonnegative orthant such that \(x \succeq y\) and \(y \succeq z\).

Then,[tex]\(\left(2 x_{1}+x_{2}\right)^{3} \geq\left(2 y_{1}+y_{2}\right)^{3} \geq\left(2 z_{1}+z_{2}\right)^{3}\)[/tex]

which implies that [tex]\(\left(2 x_{1}+x_{2}\right)^{3} \geq\left(2 z_{1}+z_{2}\right)^{3}\).[/tex]

Therefore, [tex]\(x \succeq z\)[/tex], and the relation is transitive.

To know more about orthant visit :

https://brainly.com/question/31829810

#SPJ11

Other Questions
Which statement is TRUE? (only one answer)O a. Delta of a long call is always negative.O b. Delta of a long put is always positive.O c. Large changes in stock price are not fully hedged in a delta-neutral portfolioO d. Delta is always constant for any changes in stock price.OE.All of the above. following the demise of the cartoon film short in its early years, disney expanded into all of these areas except In Michael Porter's framework all of the following factors affect a nation's competitiveness exceptA)factor conditions.B)demand characteristics.C)related and supported industries.D)policies that protect the nation's domestic competitors. Find An Equation Of The Line Tangent To The Graph Of F(X)=X3/xAt (8,3/8). The Equation Of The Tangent Line Is Y= Which of the following observations best illustrates the act of reciprocity that can influence helping behavior? a. If someone has the opportunity to help you but chooses not to, you are less likely to offer them assistance when they need it in the future. b. Individuals are more likely to offer assistance to others who are perceived to be "deserving" of help. c. When people are in a situation in which they feel that they have received more benefits than they really have earned, they are eager to help those who are underbenefited. d. Instead of helping others out of concern for their well-being, sometimes we offer assistance simply to avoid looking bad.a. If someone has the opportunity to help you but chooses not to, you are less likely to offer them assistance when they need it in the future. On March 17, Advanced Technologies purchased a patent related to laser surgery techniques. The purchase price of the patent is $1,360,000. The patent is expected to benefit the company for the next five years. The company had the following additional costs: $36,000 in legal fees associated with the purchase and filing of the patent, $51,000 to advertise its new laser surgery techniques, and $61,000 to train employees. None of these additional costs were included in the purchase price or paid to the seller. Now assume that instead of purchasing the patent, Advanced Technologles spent $1,360,000 to develop the patent internally, consisting of personnel. ($880,000), equipment ($348,000), and materials ($132,000). All additional costs were incurred for the same amount. What is the recorded cost of the patent? consistently consuming raw egg whites, as in a daily high-protein drink, can bind and result in a deficiency of this vitamin. Discussion question A sample vial containing 300mg of a mixture containing equal amounts of aniline, benzoic acid and benzophenone compound has been given to you. Outline a procedure for the separation of the acid compound from the neutral and base. At your disposal you have the following chemicals: Dichloromethane, 1.0MHCl,6.0MHCl,1.0M NaOH,6.0MNaOH and anhydrous Na2SO4. Which of these is a test of homogeneity of variance?Box's MSpearman's testWelch's TTukey's test An ecologist studied the food web Interactions within a small pond. Later, he expanded his study to include measurements of carbon and nitrogen flowing through the water and pond sediment as well as the organisms. The ecologist changed from a study of function to a study of function. ecosystems population community population community ecosystem population community ecosystem, community Thecompanyiconideringaddingapopicle machinetotheirplant. Themachinewillcot$1800andtheycanelleachpopicle for$1. 25 what product or products would you expect in part b of the experiment, if you used tert-butanol as your substrate instead of triphenylmethanol? draw the product(s) of the reaction(s) in pen and indicate the type of mechanism(s) involved (sn1, sn2, etc.). given an asset with a net book value (nbv) of $42,000. a. what are the after-tax proceeds for a firm in the 38% tax bracket if this asset is sold for $53,000 cash? b. what are the after-tax proceeds for a firm in the 38% tax bracket if this asset is sold for $25,000 cash? Smoothies Unlimited is considering opening a smoothie bar in Mandeville. The firstexpenditure is the $25,000,000 investment required to retrofit the location. Based on theanalysis, the probabilities are 0.25 that it will be extremely popular, 0.60 that it will bemoderately successful and 0.15 that it will not perform well.If the smoothie bar is extremely popular, operating cash flows of $10 million at the endof years 1, 2 and 3 will be expected. In that case, the company will expand thebusiness at the end of year 3 at a cost of $8,000,000. After the expansion, theprobabilities are 0.75 that the subsequent operating cash flows at the end of year 3 willbe $16,000,000 , 0.25 that they will be $10,000,000. Each of these cash flow streamswould continue in years 4 to 8.If the smoothie bar is moderately successful, operating cash flows of $6 million per yearat the end of years 1 through 8 are expected.If the smoothie bar is does not perform well, cash flows are expected to be $2,000,000per year over the 8-year life of the project. If this is the case, Raw Foods will close thesmoothie bar at the end of the second year. $8 million of the original investment wouldbe recovered.a) Draw a decision tree showing the decisions, outcomes and probabilities associatedwith the new project. [5 marks]b) Calculate the joint probability and NPV of each path of decision tree. Assume therequired rate of return is 17%. [20 marks]c) Calculate the expected NPV of the entire project. [4 marks]d) What is the value of the abandonment option? [3 marks]`e) Should the firm undertake the project? [2 marks]Question 2DCF methods are most appropriate for use in capital investment appraisal. Do youagree? What is the 1st evidence of continental drift? The low tidal volume alarm on a client's ventilator keeps sounding. What is the nurse's first action?A) Manually ventilate the client.B) Put air into the endotracheal tube cuff.C) Check ventilator connections.D) Call the physician. The endpoints of a diameter of a circle are (3,-7) and (-1,5). Find the center and the radius of the circle and then write the equation of the circle in standard form. the major purpose of cash flow statement is to provide information about cash receipts and cash payment during an accounting period. Section 1.518. If $10 is invested for 15 years at 3% interest compounded continuously, find the amount of money at the end of 15 years. Answer correct to one decimal place. 19. Evaluate log4 32 20. Find the domain of the function g(x) = log3(3-3x)21. Solve the equation 3x2+2 = 27x+422. Solve the equation log5 (2x-1)-log5 (x-2)= 1 if using a confidence interval, you must state the point estimate, the margin of error, the interval, and the conclusion;if using a hypothesis test, you must state the hypotheses, the test statistic, the p-value or critical value, and the conclusion;if using regression, you must state the correlation coefficient, the regression equation (even if it is not a good model), any predicted values, and the conclusion.