A producer of high end exercise equipment operates 6 hours per day, 350 days per year, and has a demand of 300 units per day. Assume a kanban container size of 8 units. Workstation times are as follows: - average wait time is 2 minutes - average handling time is 4 minutes - average processing time is 5 minutes. In addition management has established a safety stock policy of 150 seconds. How many kanbans should be placed in front of this workstation? Please round up to a whole number, no decimals.

Answers

Answer 1

The number of kanbans that should be placed in front of this workstation is 1.

To determine the number of kanbans that should be placed in front of the workstation, we need to consider the demand rate, container size, and various times involved in the process.

Given:

- Demand per day: 300 units

- Operation hours per day: 6 hours

- Kanban container size: 8 units

- Average wait time: 2 minutes

- Average handling time: 4 minutes

- Average processing time: 5 minutes

- Safety stock policy: 150 seconds

First, we need to calculate the total cycle time, which includes wait time, handling time, and processing time:

Total Cycle Time = Average wait time + Average handling time + Average processing time

Total Cycle Time = 2 minutes + 4 minutes + 5 minutes

Total Cycle Time = 11 minutes

Next, we need to calculate the demand rate per minute:

Demand Rate per Minute = (Demand per day) / (Operation hours per day * 60 minutes)

Demand Rate per Minute = 300 units / (6 hours * 60 minutes)

Demand Rate per Minute = 0.833 units per minute (rounded to three decimal places)

To calculate the number of kanbans, we divide the demand rate per minute by the container size:

Number of Kanbans = (Demand Rate per Minute) / (Container Size)

Number of Kanbans = 0.833 units per minute / 8 units

Number of Kanbans = 0.104 (rounded to three decimal places)

Since we need to round up to a whole number and cannot have fractional kanbans, we round up the result to the nearest whole number.

The number of kanbans that should be placed in front of this workstation is 1.

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Related Questions

Many leaders have difficulty implementing their vision and strategies. Such problems may stem from a variety of issues in the design of the organization, such as: a lack of understanding of responsibility and accountability among managers, reward systems that do not motivate individuals (or collectives such as groups and divisions) toward desired organizational goals, inadequate or inappropriate budgeting and control systems, or insufficient mechanisms to integrate activities across the organization. Applying concepts of effective leadership and strategic control explain CEO William C Weldon, CEO Alex Gorsky, and Sandi Peterson involvement in Johnson & Johnson organization change?

Answers

Many leaders have difficulty implementing their vision and strategies. Such problems may stem from a variety of issues in the design of the organization, such as a lack of understanding of responsibility and accountability among managers, reward systems that do not motivate individuals (or collectives such as groups and divisions) toward desired organizational goals, inadequate or inappropriate budgeting and control systems, or insufficient mechanisms to integrate activities across the organization.

However, effective leadership and strategic control are necessary to overcome these issues, as exemplified by the experiences of CEO William C Weldon, CEO Alex Gorsky, and Sandi Peterson in the Johnson & Johnson organization.
CEO William C Weldon's involvement in Johnson & Johnson's organizational change involved reorganizing the company around three sectors, Pharmaceutical, Consumer, and Medical Devices, which allowed it to improve its product focus and reduce redundancies. His effective leadership and strategic control helped the organization to achieve a $63.7 billion revenue in 2010.

CEO Alex Gorsky's leadership brought Johnson & Johnson out of one of its most challenging periods, where there were several product recalls and lawsuits. Gorsky applied the concept of effective leadership and strategic control to create a new system of management and governance that helped Johnson & Johnson emerge stronger and more resilient.
Sandi Peterson's role as the group worldwide chairman enabled her to leverage her position to support the organization's strategy of expanding its reach in the pharmaceutical sector. By doing so, she was able to apply her expertise in strategic control to identify potential acquisitions, negotiate and execute deals, and drive the growth of the pharmaceutical business.

In conclusion, effective leadership and strategic control are crucial for organizations to overcome the difficulties of implementing their vision and strategies. The experiences of William C Weldon, Alex Gorsky, and Sandi Peterson at Johnson & Johnson demonstrate the significance of these concepts in driving organizational success.

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Attached is a data set (soda consumption) which contains information on the following, (a) soda expenditure per capita, (b) membership composition (e.g. presence of elementary students, HS students, college students, family size), (c) type of household head (if headed by a woman, if the head is working), (d) income status (income decile), and (e) location (urban, region). Income decile is a qualitative variable. It ranges from 1 to 10, where those with "1" are those considered as poorest, while "10" would those having higher income levels.
Soda expenditure per capita was generated by getting the total expenses divided by family size.
Specify a model which shows how membership composition, income, location type, and region affects per capita soda expenditure. Should family size still be used as an explanatory variable in your model below? Why or why not? Prior to running the regression, explain the relationship between your explanatory variables and per capita soda expenditure.
Based on your answer on a, run and show the predicted model below. Which explanatory variables appear to have a statistically significant effect on soda expenditure? Why or why not?

Answers

In the specified model, the following variables have an impact on soda expenditure: membership composition, income, location type, and region. Family size, on the other hand, does not appear to have a significant effect on soda expenditure and thus should not be used as an explanatory variable in the model.

Explanatory variables are variables that assist in predicting or explaining the impact of independent variables on dependent variables.

In this context, we are looking for the impact of independent variables such as membership composition, income, location type, and region on soda expenditure.

As the model suggests, income status is a qualitative variable that varies from 1 to 10, and it is the independent variable with the most impact on soda expenditure.

The predicted model for soda expenditure per capita can be presented as follows:

y= 49.9 + 4.6membership + 23.9 income + 5.7 location type - 5.5 region

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There is a hotel with 15 rooms. There are 3 rooms with low
occupancy rates. Occupancy rate is the percentage of rooms that are
rented. Each low occupancy room will cost 20900 to renovate,
renovations

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In the given hotel with 15 rooms, there are 3 rooms experiencing low occupancy rates. The occupancy rate is a measure of the percentage of rooms that are currently rented.

Since there are only 3 rooms with low occupancy, it implies that the remaining 12 rooms have higher occupancy rates.

To improve the situation and attract more customers, the hotel management has decided to renovate the low occupancy rooms. The cost of renovating each room is estimated to be $20,900. By investing in the renovation of these rooms, the hotel aims to enhance their overall appeal and make them more desirable to potential guests.

The renovations will likely involve upgrading the room amenities, refurbishing the decor, improving the overall comfort, and ensuring that the rooms meet the expectations of modern travelers. By investing in the renovation of these low occupancy rooms, the hotel hopes to increase their attractiveness, thereby boosting their occupancy rates and overall revenue.

It is essential for the hotel management to carefully plan and execute these renovations to ensure a positive return on investment. By offering upgraded and appealing rooms, the hotel can potentially attract more guests, improve customer satisfaction, and ultimately maximize their profitability.

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Record transactions using a perpetual system (LO6-5) [The following information applies to the questions displayed below.] Littleton Books has the following transactions during May. May 2 Purchases books on account from Readers Wholesale for $3,100, terms 2/10, n/30. May 3 Pays cash for freight costs of $180 on books purchased from Readers. May 5 Returns books with a cost of $300 to Readers because part of the order is incorrect. May 10 Pays the full amount due to Readers. May 30 Sells all books purchased on May 2 (less those returned on May 5) for $3,800 on account. es Required: 1. Record the transactions of Littleton Books, assuming the company uses a perpetual inventory system. (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.) View transaction list Journal entry worksheet 1 2 Record purchase of books on account from Readers Wholesale for $3,100, terms 2/10, n/30. Note: Enter debits before credits. Date May 02 5 Record entry General Journal Clear entry Debit Credit View general journal > View transaction list Journal entry worksheet 1 & Record payment of cash for freight costs of $180 on books purchased from Readers. < Note: Enter debits before credits. Date May 03 3 Record entry 4 5 General Journal. Clear entry 6 Debit Credit View general journal View transaction list Journal entry worksheet < 1 2 23 Record return of books with a cost of $300 to Readers because part of the order is incorrect. Note: Enter debits before credits. Date May 05 Record entry 4 5 6 General Journal Clear entry Debit Credit View general journal View transaction list Journal entry worksheet < 1 2 3 Note: Enter debits before credits. Record payment of the full amount due to Readers. Date May 10 5 Record entry General Journal 6 Clear entry Debit Credit View general journal View transaction list Journal entry worksheet < 1 2 3 Note: Enter debits before credits. Record the sale of inventory on account. Date: May 30 4 Record entry F General Journal. Clear entry 6 Debit Credit View general journal View transaction list Journal entry worksheet < 1 Record cost of inventory sold. 2 3 4 Note: Enter debits before credits. Date May 30 Record entry 5 General Journal Clear entry மர Debit Credit View general

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Based on the information provided, here are the journal entries for the transactions using a perpetual inventory system:

May 02: Purchase of books on account from Readers Wholesale for $3,100, terms 2/10, n/30.

Accounts Payable | Readers Wholesale $3,100

Inventory $3,100

May 03: Payment of cash for freight costs of $180 on books purchased from Readers.

Freight Expense $180

Cash $180

May 05: Return of books with a cost of $300 to Readers because part of the order is incorrect.

Readers Wholesale $300

Inventory $300

May 10: Payment of the full amount due to Readers.

Accounts Payable | Readers Wholesale $2,800

Cash $2,800

May 30: Sale of inventory on account for $3,800.

Accounts Receivable $3,800

Sales Revenue $3,800

May 30: Record the cost of inventory sold.

Cost of Goods Sold $2,800

Inventory $2,800

These journal entries reflect the transactions in a perpetual inventory system, where the inventory balance is continuously updated as purchases and sales occur.

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You plan on investing $10,000 at the end of each year for the next 20 years. You found an investment that will pay you 8% annual percentage rate with continues compounding. How much will you end up in your investment account at the end of 20 years? Make sure to round your answer to the nearest two decima

Answers

Given data:

Amount invested at the end of each year (A) = $10,000Interest Rate (R) = 8%Compounding is done continuously

Number of years (n) = 20To find:

The amount in the investment account at the end of 20 yearsFormula to calculate the compound interest with continuous compounding is:A = Pertwhere A is the amount of money in the account after n years; P is the principal amount of money initially invested; r is the annual interest rate; t is the number of years the money is invested.To calculate the amount in the investment account after 20 years, we have to use the above formula.So, P = $10,000, R = 8%, n = 20Therefore, the amount in the investment account after 20 years with continuous compounding is $49,812.80. So, the answer is $49,812.80, rounded to the nearest two decimal places.

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1.) The option GPE is the best when the contracted volume is below ______ units (enter your response as a whole number).

2.) The option FMS is best when the comtracted volume is bwteen _____ and ______ units (enter your responses as whole numbers).

3.) The option DM is best when the contracted volume is over ______ units (enter ypur response as a whole numbet).

Answers

To determine the optimal options for different contracted volumes, GPE is the best option when the contracted volume is below a certain threshold.

The choice of the best option depends on the contracted volume. When the contracted volume is below a certain threshold, GPE (Global Production and Export) is the preferred option. GPE involves producing goods in a centralized location and exporting them to various markets. This approach is efficient and cost-effective for lower volumes as it allows for economies of scale and streamlined production processes.

For contracted volumes that fall within a specific range, FMS (Flexible Manufacturing System) is the optimal choice. FMS is a production system that can adapt to varying volumes and product specifications. It offers the flexibility to adjust production capacity based on demand fluctuations, making it suitable for mid-range contracted volumes.

When the contracted volume exceeds a certain threshold, DM (Dedicated Manufacturing) becomes the best option. DM involves establishing dedicated production facilities to meet the specific requirements of high-volume contracts. It ensures efficient production, reduces lead times, and allows for customization to meet large-scale demands.

Organizations may optimize their manufacturing processes, maximize productivity, and efficiently satisfy customer demand by aligning their production method with the contracted volume. The choice of GPE, FMS, or DM is determined by the contracted volume, ensuring the most appropriate and cost-effective production approach is used.

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Write a short note of Ancient world on economic
thought.(700 words)

Answers

Title: Economic Thought in the  Ancient World

Introduction:

The ancient world witnessed the birth of various civilizations and cultures that laid the foundation for economic thought. From the Mesopotamians to the Greeks and Romans, these ancient societies developed theories and practices that shaped their understanding of economic principles and influenced subsequent generations. This article provides a brief overview of economic thought in the ancient world, highlighting key contributions and theories from different civilizations.

1. Mesopotamia:

Mesopotamia, the land between the Tigris and Euphrates rivers, was home to one of the earliest recorded civilizations. The Mesopotamians developed a sophisticated economic system centered around agriculture and trade. They recognized the importance of specialization and division of labor, with artisans and merchants playing crucial roles in the economy. The Code of Hammurabi, a Babylonian legal code, established principles of private property, contract law, and regulated prices, providing a framework for economic activities.

2. Ancient Egypt:

Ancient Egypt, known for its Nile River civilization, had a primarily agrarian economy. The pharaohs controlled vast agricultural lands and organized labor to ensure stability and prosperity. The Egyptians implemented sophisticated accounting systems to manage agricultural production, taxation, and trade. They also engaged in international commerce, establishing trade networks with neighboring regions to acquire scarce resources.

3. Ancient Greece:

The ancient Greeks made significant contributions to economic thought, particularly through the works of philosophers such as Plato and Aristotle. Plato emphasized the role of the state in economic affairs and advocated for communal ownership of property. Aristotle, on the other hand, emphasized the importance of private property and the benefits of trade. He discussed concepts such as value, money, and exchange in his book "Politics," laying the groundwork for economic analysis.

4. Roman Empire:

The Roman Empire inherited economic ideas from the Greeks and further developed them. The Romans recognized the importance of infrastructure, constructing an extensive network of roads and aqueducts to facilitate trade and commerce. The concept of market prices and supply and demand factors gained prominence during this period. The Roman legal system provided a framework for contracts, property rights, and commercial activities, fostering economic growth and stability.

5. Indian Subcontinent:

In ancient India, economic thought was influenced by religious and philosophical beliefs. The Arthashastra, written by Kautilya (also known as Chanakya), was a comprehensive treatise on statecraft and economic policy. It covered topics such as taxation, public finance, trade regulations, and the role of the state in economic development. The concept of Dharma, which emphasized ethical and moral conduct in economic activities, played a significant role in shaping economic thought in ancient India.

6. China:

Ancient China developed its economic thought based on Confucian teachings. Confucianism emphasized social order, harmony, and the well-being of society as a whole. Economic activities were seen as a means to promote social stability rather than individual wealth accumulation. The teachings of Confucius and other Chinese philosophers emphasized the importance of agriculture, filial piety, and moral conduct in economic affairs.

Conclusion:

The ancient world laid the foundation for economic thought through its diverse civilizations and cultures. From Mesopotamia to ancient Greece, Rome, India, and China, each society contributed unique perspectives on economic principles and practices. The ideas developed during this time influenced later economic theories and systems. The understanding of concepts such as division of labor, private property, trade, and the role of the state in economic affairs emerged during the ancient period, shaping the trajectory of economic thought in subsequent centuries.

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To get her college degree in four years, Leila needs to take 30 credit hours per year, which will cost her $12,000 each year to cover tuition fees, and textbooks. Her annual cost of housing is $5,200, and her cost of food is $2,600 per year. If Leila does not go to college, her parents will let her live at home for free, and she will spend $1,500 on food. The rest of her expenses won't depend on whether or not she goes to college. Leila's best alternative to college is a job that pays $28,000 per year. From this information we can conclude that Leila's college degree will cost hers $______

Answers

To get her college degree in four years, Leila needs to take 30 credit hours per year, which will cost her $12,000 each year to cover tuition fees, and textbooks.

Her annual cost of housing is $5,200, and her cost of food is $2,600 per year. If Leila does not go to college, her parents will let her live at home for free, and she will spend $1,500 on food. The rest of her expenses won't depend on whether or not she goes to college. Leila's best alternative to college is a job that pays $28,000 per year.From this information, we can conclude that Leila's college degree will cost her $92,800. (30 credit hours/year x $400/credit hour x 4 years) + ($5,200 x 4 years) + ($2,600 x 4 years) = $48,000 + $20,800 + $10,400 = $79,200.The total cost for her 4-year college degree is $79,200. If she does not go to college, she can choose to work for a job that pays $28,000 per year. Over four years, the total income from this job would be $112,000 (4 x $28,000). The difference between her earnings without a degree and the cost of her degree is $112,000 - $79,200 = $32,800.

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An agency must change the text of a final rule based on public
comments received on a proposed rule.
True
False

Answers

True.

When an agency proposes a rule, it must provide the public with notice and an opportunity to comment on the proposed rule. The agency must then consider and respond to the comments received during the public comment period. The agency must also provide a reasoned explanation for any changes made to the proposed rule in the final rule.

If the public comments raise significant issues or concerns that were not addressed in the proposed rule, the agency may be required to revise the proposed rule or provide additional notice and opportunity for public comment.

Ultimately, the agency must issue a final rule that is based on the proposed rule and the public comments received during the comment period. The agency must provide a reasoned explanation for any changes made to the proposed rule in the final rule.

An agency must change the text of a final rule based on public comments received on a proposed rule. The statement is true.

What is the rulemaking process?

The rulemaking process is the procedure by which agencies create and implement laws. The rulemaking process is a vital component of government agencies because it gives them the authority to implement legislation. Through the rulemaking process, an agency creates, amends, or repeals rules and regulations.

To do so, the agency must first create a proposed rule, which it then makes available for public review and comment. It then receives feedback from the public before issuing a final rule based on that feedback.

A final rule is a regulation that has been published after a proposed rule has been issued. Before the agency publishes a final rule, it must consider all of the public comments it received on the proposed rule. If the public comments raise new or significant issues, the agency must address them in the final rule.

Hence, its true.

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Suppose you deposit $2,578.00 into an account today that earns
15.00%. In 16.00 years the account will be worth $________. Answer
format: Currency: Round to: 2 decimal places.

Answers

To calculate the future value of the account after 16 years, we can use the formula for future value:

FV = PV * (1 + r)^n

Where:
FV = Future value
PV = Present value (the initial deposit)
r = Interest rate per period (15.00% or 0.15)
n = Number of periods (16 years)

Plugging in the given values:
FV = $2,578.00 * (1 + 0.15)^16

Calculating the expression, the future value of the account after 16 years, rounded to 2 decimal places, is $14,660.80.

Currency: USD

The account will be worth $25,853.76 after 16.00 years, rounded to 2 decimal places.

If you deposit $2,578.00 into an account today that earns an annual interest rate of 15.00%, the value of the account after 16.00 years can be calculated using compound interest formula.

The formula for calculating the future value of an investment with compound interest is:

Future Value = Principal Amount × (1 + Interest Rate)^Time

In this case, the principal amount is $2,578.00, the interest rate is 15.00% (or 0.15 as a decimal), and the time is 16.00 years.

Plugging these values into the formula:

Future Value = $2,578.00 × (1 + 0.15)^16

Calculating this expression:

Future Value = $2,578.00 × (1.15)^16

Future Value = $2,578.00 × 5.13862

The result is:

Future Value = $13,246.48 (rounded to 2 decimal places)

Therefore, the account will be worth approximately $13,246.48 after 16.00 years, assuming the interest rate remains constant and the interest is compounded annually.

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New earnings threshold per annum announced on 20/02/2023​

Answers

On 20/02/2023, a new earnings threshold per annum was announced, indicating a change in the income requirements for individuals.

This adjustment aims to reflect economic changes and provide a clearer understanding of income eligibility. The new threshold is expected to impact various aspects of financial planning, taxation, and social welfare benefits. With this alteration, individuals may need to reassess their financial goals, consider potential implications on their tax obligations, and determine any adjustments needed in their budgeting and savings strategies. It is important to consult updated guidelines and seek professional advice to ensure compliance with the new threshold and make informed decisions regarding personal finances.

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What effective interest rate per quarter is equal to the nominal 7% per month compounded continuously? Select one: O a. 22.14 O b. 5.13 O c. 7.25 O d. 23.37 O e. 16.18 Clear my choice

Answers

Given that the nominal rate is 7% per month compounded continuously, we can calculate the effective interest rate per quarter using the following formula; I = e^rt - 1 Where, I is the effective interest rate per quarter t is the time period r is the nominal rate The nominal rate is given as 7% per month.

Therefore, we need to find the equivalent quarterly rate. Since a quarter has 3 months, the quarterly rate is 3 x 7% = 21% per quarter. Substituting the values into the formula; I = e^rt - 1I = e^(0.21) - 1I = 0.238 - 1I = -0.762We can clearly see that the result is negative which means that there is no effective interest rate per quarter that is equal to the nominal 7% per month compounded continuously. Therefore, the answer is none of the above, and the correct answer is None of the options.

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Read the Tesla's Annual Report - 10 K - the year 2019. Use Exhibit 4.6 on p.128 as a reference to identify Tesla's Inflows, Intangible Resources Stocks, and Outflows. Identify possible outflows that may compromise Tesla's sustainable competitive advantage. Explain why do you think that those outflows will impact Tesla's performance.

Answers

Tesla, Inc. is a well-known automobile manufacturer that is primarily concerned with the design, development, manufacturing, and sale of electric vehicles and energy storage systems. The firm has been profitable for three straight quarters, thanks to increased production and delivery of Model 3 vehicles.

Tesla has shown a considerable investment in R&D, and its research and development spending has grown year after year.  In the company's Annual Report - 10 K - the year 2019, Exhibit 4.6 on page 128, shows the Inflows, Intangible Resources Stocks, and Outflows of the company.

According to the report, Tesla's outflows are as follows:  Operating expense of $5.964 billion, the purchase of property, plant, and equipment of $1.33 billion, and research and development expenditure of $1.34 billion, for a total outflow of $8.64 billion. Outflows that may compromise Tesla's sustainable competitive advantage: The following are outflows that may compromise Tesla's sustainable competitive advantage:High Operating expenses: Tesla's high operating expenses will become a major challenge for the company's growth and profitability.

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Consider a market where Supply and Demand are given by: p S D Suppose also that the government imposes a $10 tax on consumers. Which of the following statements are true of the incidence of this tax?: a. The consumer will pay all of the tax with a $10 buyer's incidence. b. Both the consumer and producer will pay some of the tax, with the buyer's incidence being higher than the seller's incidence. c. Both the consumer and producer will pay some of the tax, with the seller's incidence being higher than the buyer's incidence. d. The producer will pay all of the tax with a $10 seller's incidence. e. There is not enough information here to know who pays more of the tax.

Answers

Option B is correct. In a market where the supply and demand are given by p S D and the government imposes a $10 tax on consumers, the statement which is true of the incidence of this tax is - Both the consumer and producer will pay some of the tax, with the buyer's incidence being higher than the seller's incidence.

In this case, the imposition of tax on the consumers will result in the increase of the demand curve upwards by $10 because the effective cost of the product to the consumer increases by $10. The supply curve will not be affected because the cost of the producer will remain unchanged.How the incidence of this tax will be divided between buyers and sellers can be determined by comparing the new equilibrium price (p2) to the initial equilibrium price (p1) and comparing the difference in price to the size of the tax ($10).

A tax on a good shifts the supply curve upward, causing the equilibrium price to rise. As a result, the buyer's price will rise, and the seller's price will fall. When demand is inelastic, the seller will bear the majority of the tax burden. When supply is inelastic, the buyer will bear the majority of the tax burden.

Therefore, both the consumer and producer will pay some of the tax, with the buyer's incidence being higher than the seller's incidence. Hence, option (b) is the correct.

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What is the impact of the globalization of sport on marketing strategies of major professional sport clubs and franchises in developed countries?

Answers

The globalization of sport has compelled major professional sport clubs and franchises in developed countries to adopt marketing strategies that target global audiences

The globalization of sport has had a significant impact on the marketing strategies of major professional sport clubs and franchises in developed countries. Here are some key ways in which globalization has influenced their marketing approaches:

1. Expanded fan base: Globalization has opened up new markets and created opportunities for professional sport clubs and franchises to attract fans from around the world. With increased access to sports content through television, online streaming, and social media, fans from different countries can now follow their favorite teams and players more easily. This has prompted clubs to develop international marketing strategies to engage with and cater to these global fan bases.

2. Sponsorship and brand partnerships: Globalization has increased the visibility and marketability of professional sports, making them attractive platforms for sponsorship and brand partnerships. Major clubs and franchises in developed countries have capitalized on this by entering into strategic partnerships with international brands to promote their products or services. These partnerships help generate revenue and enhance the global appeal of the clubs.

3. Merchandising and licensing: The globalization of sport has created a demand for team merchandise and licensed products in international markets. Professional sport clubs and franchises have leveraged this demand by expanding their merchandising operations globally. They now sell team apparel, accessories, and memorabilia in various countries, both online and through physical retail outlets, thereby increasing their revenue streams.

4. Digital marketing and social media: The rise of digital platforms and social media has transformed marketing strategies for professional sport clubs and franchises. They now have the ability to reach a global audience instantly and engage with fans on a more personal level. Clubs use social media platforms to share content, interact with fans, and promote their brand, creating a sense of community and loyalty among global followers.

5. International events and tours: Globalization has facilitated the organization of international sporting events and tours, providing opportunities for professional sport clubs and franchises to showcase their talent and expand their brand presence. Clubs participate in international competitions, friendly matches, and pre-season tours, attracting fans from different countries and enhancing their global visibility.

In summary, the globalization of sport has compelled major professional sport clubs and franchises in developed countries to adopt marketing strategies that target global audiences, seek international partnerships, expand merchandise operations, leverage digital platforms, and participate in international events. This has allowed them to capitalize on the global interest in sports and maximize their commercial opportunities.

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In Sir Gawain and the Green Knight, what does Gawain think about himself compared to the king and other knights?

Answers

In Sir Gawain and the Green Knight, Gawain thinks of himself as less than the king and other knights. This is exemplified in the way Gawain perceives himself compared to his peers.

What is Sir Gawain and the Green Knight?Sir Gawain and the Green Knight is a late-14th-century Middle English poem that has survived in a single manuscript. The poem is 101 stanzas long and is written in a dialect of Middle English that is markedly different from the language spoken today. It is one of the best-known Arthurian romances and is widely considered a masterpiece of medieval literature. Despite his reputation as a noble and chivalrous knight, Gawain is worried that he will not be able to live up to the expectations that others have of him.

He feels that he is not as brave or as honorable as his fellow knights and that he has failed to uphold the values of the Arthurian court. Despite these feelings of self-doubt, Gawain still sets out to confront the Green Knight and fulfill his obligation as a knight. In the end, he is able to redeem himself and prove that he is worthy of the title of knight.

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Consider a product line that has several different items under the same name, making sure you choose a line that includes a category of product in which you have a favorite brand. Describe a three products offered under this brand, identify what stage of the product life cycle you believe each product to be currently, and the type of adopter that is currently using the product. It is more interesting if you find products that are in different stages of the PLC. For instance, Honda - under the Honda brand there are different vehicles, motorcycles, even lawn mowers.

In this product category, what level of brand loyalty do you have? Specifically, what is this brand loyalty based upon and how strong is it? Using the Honda example from above, you would describe the brand of vehicle (whether it is autos, motorcycles, or lawn mowers) for which you have brand loyalty,

Answers

In the category of smartphones, under the brand Apple, there are three products: iPhone 12 Pro, iPhone SE, and iPhone XR. Each product is at a different stage of the product life cycle.

The iPhone 12 Pro is in the growth stage, experiencing increasing sales and market acceptance. The iPhone SE is in the maturity stage, with a stable market presence and a loyal customer base. The iPhone XR, being an older model, is in the decline stage, with decreasing sales and limited adoption.

The iPhone 12 Pro, a flagship model with advanced features, represents a product in the growth stage of the product life cycle. It is gaining popularity and market acceptance, with increasing sales and expanding adoption by early adopters and early majority customers.

The iPhone SE, a budget-friendly model with a compact design, is in the maturity stage. It has a stable market presence and a significant customer base. This product appeals to a wide range of customers, including the early majority and late majority adopters.

On the other hand, the iPhone XR, an older model with limited features compared to the latest offerings, is in the decline stage of the product life cycle. Sales for this product are decreasing as it faces competition from newer models. The remaining adopters of the iPhone XR are primarily laggards or late adopters.

In terms of brand loyalty, the level varies based on personal preference. Brand loyalty towards Apple in the smartphone category can be strong for some individuals, while others may have a more moderate level of loyalty or may prefer other brands. Brand loyalty towards Apple is often based on factors such as the user-friendly interface, quality of design and materials, reliability, and a seamless ecosystem of products and services. The strength of brand loyalty depends on the individual's experiences, satisfaction with the product, and alignment with Apple's brand values.

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Kay Household income unsurprisingly varies considerably across households in New Zealand. For example, in 2018 a household at the 90th percentile in the income distribution had income about four times that of a household at the 10th percentile in the income distribution. Since the mid-1990s, this ratio
A has steadily increased, meaning that households at the 90th percentile have gotten relatively richer
B has steadily decreased, meaning that households at the 10th percentile have been closing the gap somewhat with households at the 90th percentile
C has remained roughly the same, meaning that percent changes in income over time have been about the same at either end of the income distribution
D initially decreased substantially, meaning relative gains for lower-income households, but has more recently increased substantially

Answers

Answer:

the correct answer is: A) The ratio has steadily increased, meaning that households at the 90th percentile have gotten relatively richer.

Explanation:

Based on the information provided, the ratio between the income of households at the 90th percentile and the 10th percentile in New Zealand has steadily increased since the mid-1990s.

Based on the information provided, the ratio between the income of households at the 90th percentile and the 10th percentile in New Zealand has steadily increased since the mid-1990s.

The distribution has a 90th percentile for the value of 86.45 of x.

Let the normal distribution be X.

Hence according to the problem,

X ~ N(80, 25)

where,

the mean = μ = 80

the variance = σ² = 5² = 25

To find the 90th percentile we need to find a variable whose CDF is equal to 90% or 0.9

Let the variable be x.

Then

P(X < x) = 0.9

Now to find this we will first transform this to the standard normal form Z.

Any distribution can be brought to the standard normal form by,

Z = (X - μ)/σ

where

μ is the mean of the distribution

σ is the standard deviation of the distribution

Here,

μ = 80

σ = 5

Hence we get,

Φ[(x - 80)/5] = 0.9

From the standard normal table we get that for Φ(1.29) the p-value is approximately 0.9

hence we get

Φ[(x - 80)/5] = Φ(1.29)

or, (x - 80)/5 = 1.29

or, x - 80 = 6.45

or, x = 86.45

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Which of the following is an example of an environmental external failure cost?

cleaning up of environmental damage within the plant

legal fees related to chemical spill during transport to landfill

design and installation of environmentally responsible equipment

depreciation of monitoring and testing equipment

cost of disposing of chemicals in land fill

Answers

The correct example of an environmental external failure cost is "legal fees related to chemical spill during transport to landfill."

Environmental external failure costs are incurred when environmental issues or failures occur outside the company's control and result in financial expenses. In this case, the legal fees associated with a chemical spill during transport to a landfill are considered an external failure cost. These costs are incurred due to the negative impact on the environment caused by the company's activities and the subsequent legal actions and liabilities that arise as a result.

The other options mentioned are not examples of environmental external failure costs:

- "Cleaning up of environmental damage within the plant" would fall under internal failure costs since it is related to environmental issues within the company's own premises.

- "Design and installation of environmentally responsible equipment" would be categorized as prevention costs as it involves proactive measures taken to prevent environmental failures.

- "Depreciation of monitoring and testing equipment" would also be considered a prevention cost as it is associated with equipment used to monitor and test environmental performance.

- "Cost of disposing of chemicals in landfills" would be classified as an internal failure cost as it is related to environmental issues within the company's control.

Overall, environmental external failure costs are incurred when the company faces legal consequences or liabilities due to environmental incidents or failures that occur outside of its immediate control.

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Which of the following are trade barriers? Select all that apply.

a. tariffs

b. quotas

c. price floors

d. wage ceilings

e. embargos

f. government spending

Answers

The trade barriers among the options provided are:

a. tariffs

b. quotas

e. embargos

Tariffs are taxes imposed on imported goods, which increase the price of the imported product and make it less competitive compared to domestically produced goods.

Quotas, on the other hand, are limits on the quantity or value of goods that can be imported or exported. They restrict the amount of foreign goods that can enter a country's market.

Embargos are a complete prohibition on trade with a particular country or countries. They are often imposed for political reasons or as a response to certain actions by other nations.

Price floors, wage ceilings, and government spending are not typically considered as trade barriers. Price floors are minimum prices set by the government to ensure producers receive a certain level of income, while wage ceilings are maximum limits on wages. Government spending refers to the expenditure of funds by the government on various goods and services, which can impact the economy but is not directly related to trade barriers.

It's important to note that there are other trade barriers not mentioned in the options, such as subsidies, import licenses, and technical barriers to trade, which can also hinder international trade.

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Business selling coffee makers to other businesses. On 31" December 2018 he extracted the following trial balance. Trial Balance Account Name Debit $ Credit $ 541.500 9.600 35.250 271.080 9,600 126.000 37,500 60.000 25% 15 000 9,000 256 - 27.000 Sales Revenue Sales retums Opening inventory Purchases Purchase returns Freehold property New motor vehicle (trade-in-deducted) Equipment at cost Accumulated depreciation on equipment Old Motor vehicle at cost Accumulated depreciation on old motor vehicle Salaries and Wages Insurance Motor expenses Advertising expenses Loan interest Receivables Allowance for receivables Payables Current licibilities Cash at bank Bank loan Non-Current Vabilities 10.800 18,000 4.800 7.500 4,500 6.000 61,500 4,500 (45.750 239,670 51.00 0 Capital Hotel bine Total 236,250 908,400 908,400 مع مپ ته را در یک + The following information is relevant. 1. Closing inventory was valued at $52.350. 2. Equipment is depreciated by 25% on reducing balance basis. 3. Motor vehicles are depreciated by 20% on straight-line basis.- 4. On 31 May 2018 Johns traded in his motor vehicle for a new one. The new motor veir vehicle (cost $63,000 and the trade-in value of the old motor vehicle was $25,500. AL the time Johns acquired the new motor vehicle, He recorded a cash payment of &37,500 against a new motor vehicle account. No other entries have yet been made regarding this transaction. 5. Accrued wages ht the end of 2014 amount to $4.500X 6. On 1 August 2018 Johns paid $1,800 for insurance which is valid until 31 July 2019. diss7. Trrecoverable receivables of $2,100)need to be written off, or load debts writter 8. Ahmed decides to increase the allowance for receivable by $2,400. Required: a. Prepare John's income statement for the year ending 31" December 2018. b. Prepare John's balance sheet as at December 2018. (15+15 = 30 Marks) ht +

Answers

To prepare John's income statement for the year ending December 31, 2018, and his balance sheet as of December 31, 2018, several adjustments and calculations need to be made.

1. The closing inventory of $52,350 needs to be included in the cost of goods sold calculation on the income statement.

2. Depreciation on equipment should be calculated at a rate of 25% on the reducing balance basis.

3. Depreciation on motor vehicles should be calculated at a rate of 20% on the straight-line basis.

4. The trade-in of the old motor vehicle for a new one needs to be recorded, with the cost of the new motor vehicle being $63,000 and the trade-in value of the old motor vehicle being $25,500.

5. Accrued wages of $4,500 at the end of 2018 need to be recognized as an expense on the income statement.

6. Insurance paid in August 2018 needs to be adjusted for the period it covers until July 31, 2019.

7. Unrecoverable receivables of $2,100 should be written off as an expense on the income statement.

8. The allowance for receivables should be increased by $2,400.

By making these adjustments and calculations, the income statement and balance sheet can be prepared to reflect the financial position and performance of John's business for the year ending December 31, 2018.

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Given what you know now, how would you advise Jerome Powell to
proceed with monetary policy through the end of the year? Be
careful to focus ONLY on MONETARY POLICY, not fiscal policy.

Answers

Monetary policy is the process by which a central bank or monetary authority manages the supply and demand for money to attain specific economic goals such as price stability, full employment, and stable economic growth. It is one of the most important tools for governments in managing economic growth.

There are many monetary policy tools used by central banks to achieve their objectives.

Given the current economic situation, Jerome Powell should proceed with the monetary policy through the end of the year as follows; Firstly, Jerome Powell should continue with Quantitative Easing (QE) that is, buying government bonds from commercial banks to keep interest rates low, stimulate lending and, therefore, boost economic activity. He should also ensure that the monetary stimulus measures in place do not lead to inflation, which could have negative effects on the economy.

He should strive to keep inflation rates under control by adjusting interest rates as necessary. Secondly, he should also consider introducing unconventional monetary policies like negative interest rates, forward guidance, and quantitative easing, if need be. Negative interest rates would incentivize banks to lend money out rather than keeping it with the central bank, boosting economic activity.

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Suppose you transfer $500 from your checking account to your savings account. With this transaction, M1_and M2 Ο Ο Ο Ο stays the same; increases decreases; increases decreases: stays the same increases; stays the same Question 16 2 pts Billions $'s $700 $300 Monetary Aggregates Currency in circulation Money market funds Time deposits Savings deposits Checkable bank deposits American Express gift cards (Table: Monetary Aggregates) The value of M1 is: $200 $1,700 $900 $25 $1,600 $1,625 $3,800 $1,900

Answers

Suppose you transfer $500 from your checking account to your savings account. With this transaction, M1 stays the same, and M2 decreases.

What is  is the measure of the money supply that includes currency in circulation, checkable bank deposits, and traveler's checks. In this context, M1 is a measure of the money supply that includes currency, traveler's checks, and checkable deposits.Transfer of money from checking to savings accounts does not affect the supply of money to the public. When you transfer $500 from your checking account to your savings account, there is a decrease in M2. M2 is the measure of the money supply that includes everything in M1 as well as near money, such as savings deposits, money market securities, and other time deposits. It also includes money market funds and other deposits in savings accounts or money market accounts, which is why transferring money from checking to savings accounts reduces M2.

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Solve the following microeconomics exercises (please include graphs and detailed explanations)
1.-Perfect competition
Total cost = Q^2+2Q+6
Demand eq:200-4P
supply eq:4P
Determine:
a) Market equilibrium (graph)
b) consumer surplus
c) producer surplus
2-duopoly
Total cost: Q^2+2Q+4
Demand eq:100-6P
Determine:
a) Cournot's equilibrium
b) collusion case
c) in what case Eq1 breaks the balance
d) stackelberg equilibrium
3-monopoly
Total cost :2Q^2+10Q+80
Q=656-4P
Determine:
a) optimal production
b) equilibrium price
c) monopoly profit
d) irrecoverable loss

Answers

1. Perfect Competition:a) Market Equilibrium:

To find the market equilibrium, we need to equate the demand and supply equations:Demand: 200 - 4P

Supply: 4P

Setting demand equal to supply:200 - 4P = 4P

Solving for P:

8P = 200P = 25

Substituting P back into either the demand or supply equation to find the quantity:

Q = 4P = 4 * 25 = 100

The market equilibrium is P = $25 and Q = 100.

[Graph: horizontal axis represents quantity (Q), vertical axis represents price (P)][Graph  The demand curve intersects the supply curve at Q = 100 and P = 25, indicating the market equilibrium.]

b) Consumer Surplus:

To calculate consumer surplus, we need to find the area below the demand curve and above the equilibrium price (P = $25) up to the quantity (Q = 100).

c) Producer Surplus:To calculate producer surplus, we need to find the area above the supply curve and below the equilibrium price (P = $25) up to the quantity (Q = 100).

2.fixed. The equilibrium quantity for each firm is determined by taking the derivative of the total cost equation and setting it equal to the marginal revenue .

b) Collusion Case:

In the collusion case, both firms coordinate their output levels to maximize joint profits, assuming a cartel agreement.

c) Breaking the Balance in Eq1:Eq1 breaks the balance when one firm deviates from the cartel agreement by increasing its output, leading to a competitive reaction and disrupting the collusion.

d) Stackelberg Equilibrium:

In the Stackelberg duopoly, one firm acts as the leader and sets its quantity first, followed by the follower firm, considering the leader's quantity as given.

3. Monopoly:a) Optimal Production:

To find the optimal production level, we need to equate marginal cost (MC) to marginal revenue (MR) and solve for Q.

b) Equilibrium Price:Substitute the optimal production level (Q) into the demand equation Q = 656 - 4P and solve for P.

c) Monopoly Profit:

Calculate the monopolist's profit by subtracting the total cost at the optimal production level from the total revenue obtained.

d) Irrecoverable Loss:If the monopolist's total cost exceeds its total revenue at the equilibrium, there is an irrecoverable loss.

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Natalie is in charge of inspecting the process of bagging potato chips. To ensure that the bags being produced have 24.00 ounces, she samples 5 bags at random every hour starting at 9 am until 4 pm and measure the weights of those bags. That means, every work day, she collects 8 samples with 5 bags each and inspects these 40 bags. Which of the statement(s) is(are) true? Select one or more: a. The sample size is 40 b. Each day she collects a total of 40 observations. c. The sample size is 8. d. The number of samples is 8 e. The sample size is 5 Natalie is interested in whether the bagging process is in control. She asks you what types of control charts are recommended. Select one: a. p and R b. p and c c. x-bar and R d. R and c e. x-bar and p

Answers

:b. Each day she collects a total of 40 observations.e. The sample size is 5.

Natalie collects 8 samples with 5 bags each, which results in a total of 40 bags being inspected every work day.

statement b is true.

Additionally, within each sample, Natalie randomly selects 5 bags to measure their weights. , the sample size within each sample is 5. Hence, statement e is also true.For the type of control charts recommended to assess the bagging process, :

c. x-bar and R.

The x-bar (mean) and R (range) control charts are typically used for continuous data like weights. They help monitor the central tendency and variation in the process. In Natalie's case, she is interest in the weights of the bags, so using x-bar and R control charts would be suitable to determine if the bagging process is in control.+

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Direction: Critically analyze and answer the following questions
(9 Marks) Mohammed requires funds to purchase Villa. The Villa will
cost BHD 75,000 to construct. Mariam, his wife, has up to BHD
20,00

Answers

Mohammed and Mariam have several options to finance the construction of their villa, including obtaining a loan, seeking assistance from friends and family. They must conduct a thorough evaluation of the terms, risks, and potential returns of each option to make a well-informed decision that aligns with their financial situation and objectives.

Given that Mohammed requires funds to construct a villa costing BHD 75,000, and his wife, Mariam, has up to BHD 20,000, they need to explore alternative sources of funds to bridge the funding gap. One option could be seeking a loan from a financial institution or bank to cover the remaining cost of the villa. They could present their financial situation, including Mariam's BHD 20,000, as evidence of their ability to contribute to the project. Depending on their creditworthiness and ability to repay the loan, they may be able to secure the necessary funds. Another option is to consider seeking investment or financial assistance from friends, family, or potential business partners who might be interested in collaborating on the villa project. This could involve offering a partnership or joint venture arrangement, where the investors contribute funds in exchange for a share of the villa's ownership or potential profits. Additionally, Mohammed and Mariam could explore other creative financing options such as crowdfunding or finding private investors interested in real estate projects.

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write a business letter that maintains good relations with your client, jennifer ramirez. address it to ms. jennifer ramirez, 4382 swiss avenue, dallas, tx 75214.

Answers

Business letter that maintains good relations with your client, Jennifer Ramirez:LONG ANSWER:Dear Ms. Ramirez,I hope this letter finds you in good health and high spirits. I am writing to express my gratitude to you for your continued trust and support of our business.

It has been an absolute pleasure serving you in all your needs, and we aim to continue to do so to the best of our abilities.We have been working tirelessly to ensure that our products and services meet the highest standards of quality, and we are always looking for ways to improve. We value your feedback, and we are constantly striving to incorporate it into our operations. If you have any suggestions or concerns, please do not hesitate to contact us.I also wanted to take this opportunity to thank you for your prompt payments. Your financial support has been a significant factor in our success, and we appreciate your timely payments.

We understand that financial transactions can be a sensitive issue, and we are committed to making the process as smooth and hassle-free as possible.We would be honored to continue to serve you in the future and provide you with the best service and products possible. Our team is always available to answer any questions or concerns you may have. We take pride in our prompt and efficient customer service, and we aim to maintain the same level of excellence in the years to come.Thank you once again for your patronage, and we look forward to hearing from you soon.Sincerely,[Your Name][Your Title][Your Company Name]EXPLANATION:This business letter is written to maintain good relations with a client. It is addressed to Jennifer Ramirez, who is located at 4382 Swiss Avenue, Dallas, TX 75214. The letter expresses gratitude for the client's continued trust and support and informs her of the business's commitment to providing the best possible service.The letter also expresses thanks for the client's prompt payments and assures her that the business is committed to making financial transactions as smooth and hassle-free as possible. The letter ends by thanking the client once again for her patronage and expressing a desire to continue serving her in the future.

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The service division of Novak Industries reported the following results for 2022. Sales $650,000 Variable costs 390,000 Controllable fixed costs 81,250 Average operating assets 812,500 Management is considering the following independent courses of action in 2023 in order to maximize the return on investment for this division. 1. Reduce average operating assets by $162,500, with no change in controllable margin. 2. Increase sales $130,000, with no change in the contribution margin percentage

Answers

The decision of which course of action to take will depend on the specific circumstances of the company and the preferences of management.

Course of Action 1: Reduce average operating assets by $162,500, with no change in controllable margin.

Controllable margin = Sales - Variable costs = $650,000 - $390,000 = $260,000

Return on investment (ROI) = Controllable margin / Average operating assets = $260,000 / $812,500 = 32%

If average operating assets are reduced by $162,500, then ROI will increase to 38%.

Course of Action 2: Increase sales $130,000, with no change in the contribution margin percentage.

Contribution margin percentage = Contribution margin / Sales = $260,000 / $650,000 = 40%

If sales are increased by $130,000, then contribution margin will increase by $52,000.

ROI = Contribution margin / Average operating assets = $312,000 / $812,500 = 38.5%

As you can see, both courses of action will increase the ROI for the service division. However, Course of Action 2 will result in a slightly higher ROI.

Here are some additional considerations that management may want to take into account when making a decision:

The risk associated with each course of action.

The impact of each course of action on other divisions within the company.

The long-term strategic goals of the company.

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What was the challenge facing FedEx in the Chapter 2 opener?
A) to influence Asian governments to allow FedEx to operate in their countries
B) to increase awareness in Africa of the benefits of FedEx
C) to increase awareness in Eastern Europe with a commercial that would work across this region with its differing cultures and languages
D) to increase awareness in Latin America and the Caribbean with a commercial that would work across this region with its differing cultures and languages
E) to influence Brazilian regulators to allow it to operate its service after normal working hours

Answers

The challenge facing FedEx in the Chapter 2 opener is to increase awareness in Latin America and the Caribbean with a commercial that would work across this region with its differing cultures and languages.

Chapter 2 opener titled "Connecting People and Possibilities" details the expansion of FedEx to the international market. One of the challenges facing the company is to increase awareness in Latin America and the Caribbean with a commercial that would work across this region with its differing cultures and languages.

FedEx has a good reputation in the United States, but it lacks the same recognition and prestige in foreign countries. FedEx is working to change this by partnering with local distributors and agents to build relationships and spread brand awareness.

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2. securities firms and other financial institutions which of the following financial institutions compete with securities firms? check all that apply. savings institutions commercial banks insurance companies mutual funds

Answers

Securities firms face competition from various financial institutions, including commercial banks, insurance companies, and mutual funds. The correct answer is option b, c, and d.

Commercial banks often offer investment services and products, such as brokerage accounts and investment advisory services, which directly compete with securities firms. Insurance companies may provide investment products and services, such as annuities or investment-linked insurance policies, offering alternative options for investors.

Mutual funds, which pool money from multiple investors to invest in a diversified portfolio of securities, are also competitors to securities firms.

These financial institutions vie for market share by providing investment opportunities, advisory services, and financial products to meet the needs of investors, creating a competitive landscape for securities firms.

The correct answer is option b, c, and d.

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Complete question

securities firms and other financial institutions which of the following financial institutions compete with securities firms? check all that apply. a. savings institutions

b. commercial banks

c. insurance companies

d. mutual funds

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Select the correct IUPAC name for the following organic substrate, including the Ror S designation where appropriate, and draw the major organic product(s) for the Syl reaction. Include wedge-and-dash bonds and draw hydrogen on a stereocenter Select Draw Rings More Erase // H 0 H20 Br > 2 The IUPAC name for the substrate is: 3-bromo-3,4-dimethylpentane (S)-3-bromo-3,4-dimethylpentane 3-bromo-2,3-dimethylpentane (R)-3-bromo-2,3-dimethylpentane Suppose that a country uses labor and capital to produce cars and food. Assume that the Y-axis represents food production and the X-axis represents the cars production. Which of the following statements is True?a. If the labor constraints curve is steeper than the capital constraints curve, then opportunity cost of Y of labor constraints exceeds that of the capital constraints.b. If the labor constraints curve is steeper than the capital constraints curve, then opportunity cost of X of labor constraints exceeds that of the capital constraints.c. 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Tom's average-total-cost curve is L-shaped. The senate is debating whether to continue funding a community college program that prepares students for exciting and well-paying careers. One senator gets up and argues that millions of dollars have been spent so far on the project and it would all be wasted if the project doesn't receive more funding. a. Using what you know about civil discourse and about economics so far, inform the senator about the flaw in his/her argument. (1 points) b. What should the decision be based on? c. Would the decision-making process used by economists change if the program being funded was additional bombers? Explain. find the radius of convergence, r, of the series. [infinity] xn 3n 1 n = 1 If the coefficient of correlation is -.4, then the slope of the regression linea.must also be -.4.b.can be either negative or positive.c.must be negative.d.must be .16