Critically evaluate and explain: a. A firm in a perfectly competitive market should always shut when its marginal revenue is below its average cost (equivalent to average total cost).
b. The intersection of marginal revenue and marginal cost determines the quantity at which a business in a perfectly competitive market is profitable

Answers

Answer 1

a. A firm in a perfectly competitive market should not always shut down when its marginal revenue is below its average cost(equivalent to average total cost).

1. Calculate the average cost (AC) by dividing total cost by the quantity produced.

2. Compare the marginal revenue (MR) with the average cost (AC).

3. If the marginal revenue is greater than the average cost, the firm should continue operating.

4. If the marginal revenue is less than the average cost, consider additional factors such as fixed costs and long-term prospects before deciding to shut down.

5. Shutting down should be considered only if the firm cannot cover both variable and fixed costs with its total revenue.

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Related Questions

The market demand curve shows how the total quantity demanded of a good varies as the income of buyers varies, while all the other factors that affect how much consumers want to buy are held constant. True False

Answers

False. The market demand curve represents the relationship between price and quantity demanded, holding other factors constant, not specifically focusing on the impact of income variations on quantity demanded.

The market demand curve does not solely show how the total quantity demanded of a good varies as the income of buyers varies. Instead, the market demand curve represents the relationship between the price of a good and the total quantity demanded by all consumers in the market, while other factors are held constant.

The factors that affect how much consumers want to buy, apart from income, include the price of the good itself, the prices of related goods, consumer preferences, expectations, and other market conditions.

Changes in buyers' income typically impact the demand for normal goods and inferior goods, but income is just one of the many factors that influence consumer demand. Therefore, the market demand curve considers the impact of price on the quantity demanded, holding other factors constant, rather than focusing solely on income variations.

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A manufacturer of tablet computers currently sells 10,000 units per month of a basic model. The cost of manufacture is $700 /unit and the wholesale price is $950. During the last quarter the manufacturer lowered the price $100 in a few test markets, and the result was a 50% increase in sales we will call this the price elasticity. The company has been advertising its products nationwide at a cost of $50,000 per month. The advertising agency claims that increasing the advertising budget by $5,000/month would result in a sales increase of 100 units/month. Management has agreed to consider an increase in the advertising budget to no more than $75,000/ month. a) Determine the price and the advertising budget that will maximize profit. Use the five-step method. Model as a constrained optimization problem, and solve using the method of Lagrange multipliers. b) Determine the sensitivity of the decision variables (price and advertising) to price elasticity. c) Determine the sensitivity of the decision variables to the advertising agency's estimate of 100 new sales each time the advertising budget is increased by $5,000/ month. d) What is the value of the multiplier found in part (a) i.e. the first bulleted item above? What is the real world significance of the multiplier? How could you use this information to convince top management to lift the ceiling on advertising expenditures? Notes: s=10000+ 1005000​ (950−p)+ ??​ (a−50000) where the factor 1005000 is called the the price elasticity and where we assume the following notation - p= price ($/ computer ), - s= sales (computers/month), - a= advertising budget($/month).

Answers

The price and advertising budget that will maximize profit can be determined using the method of Lagrange multipliers. We need to maximize the profit function subject to the constraints. The profit function is given by P = (p - 700)(s) - a, where p is the price, s is the sales, and a is the advertising budget.

The constraints are:Price elasticity constraint: s = 10,000 + 1,005,000(950 - p), Advertising budget constraint: a ≤ 75,000. Using Lagrange multipliers, we set up the Lagrangian function as follows: L = (p - 700)(s) - a + λ[10,000 + 1,005,000(950 - p)] + μ(a - 75,000), where λ and μ are the Lagrange multipliers.By taking partial derivatives of the Lagrangian function with respect to p, s, a, and the Lagrange multipliers, and setting them equal to zero, we can solve for the optimal values of p and a that maximize the profit function.b) The sensitivity of the decision variables (price and advertising) to price elasticity can be analyzed by examining the impact of changes in the price elasticity factor on the optimal values of p and a. By adjusting the price elasticity factor in the price elasticity constraint equation, we can observe the corresponding changes in the optimal price and advertising budget that maximize profit.

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apple inc. reported revenues of 234 billion usd and net income of 53 billion usd in 2015. these figures represent a stunning annual growth in revenue and net income of 28 percent and 33 percent, respectively, for 2014. this information indicates the importance of using to evaluate company financial performance. group of answer choices historical comparisons financial ratios industry norms competitor analysis

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By comparing the revenues and net income data from 2015 to the previous year, 2014, we can analyze the growth rate and evaluate the company's financial performance over time. Historical comparisons indicate the importance of using them to evaluate a company's financial performance. The correct option is A.

The details supplied regarding Apple Inc.'s sales and net income growth rates underline the significance of using historical comparisons to assess a company's financial performance. Analysts can determine patterns and gauge the company's growth by comparing the current year's numbers to those from the prior year.

The fact that revenue and net income have grown significantly in this instance suggests that Apple Inc. is on the right track. Other techniques and studies, such as financial ratios, industry standards, and competition analysis, can be used, nevertheless, to undertake a thorough examination of a company's financial performance.

Thus, the ideal selection is option A.

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you buy a 5-year zero coupon bond with 4% yield to maturity. you sell the bond 2 years later when its yield to maturity is 2%. what was your annualized holding period return?

Answers

The annualized holding period return for the bond is approximately 0.8%. To calculate the annualized holding period return, you can use the formula:

Annualized Holding Period Return = (Ending Value / Beginning Value) ^ (1 / Holding Period) - 1

To calculate the annualized holding period return, we need to solve for P and F in the following equation:

F = [tex]P * (1 + r) ^ n[/tex]

Where:

r = yield to maturity as a decimal

n = holding period in years

Now, we can rearrange the equation to solve for P:

[tex]P * (1 + 0.04) ^ 5 = P * (1 + 0.02) ^ 2[/tex]

[tex](1 + 0.04) ^ 5 = (1 + 0.02) ^ 2[/tex]

1.21665 ≈ 1.0404

Annualized Holding Period Return = [tex](F / P) ^ (1 / Holding Period) - 1[/tex]

= [tex](1.0404 ^ (1/5)) - 1[/tex]

≈ 0.008

Annualized Holding Period Return ≈ 0.8%

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Yoko and John decided to get married in Japan. Yoko is from Japan, but she and John reside permanently in Ontario. They planned a two-week trip to Japan, hoping to get married in a Shinto ceremony. When they got to Japan, they learned that there was a residency requirement of one month to get married. They went ahead with the ceremony any way. Will this marriage be recognized as valid in Ontario? Discuss.

Answers

Yoko and John planned a two-week trip to Japan to get married in a Shinto ceremony. However, upon arriving, they learned that Japan has a one-month residency requirement to get married.

Despite this, they went ahead with the ceremony. The question is whether their marriage would be recognized as valid in Ontario. According to Ontario law, for a marriage to be recognized, the marriage must be valid under the law of the place where the marriage occurred.

If the marriage is valid under Japanese law, it will be recognized in Ontario even if it does not meet the residency requirement. The Canadian government has agreements with many countries including Japan on recognizing each other's marriages. Therefore, the marriage between Yoko and John would be recognized as valid in Ontario if it is valid under Japanese law.

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--------------------- is one reason for the different rates of entrepreneurship among countries across the globe.

a. climate

b. competitiveness

c. culture

d. constitution

Answers

Different cultures have varying levels of acceptance and support for entrepreneurship. In some cultures, entrepreneurship is highly valued and encouraged, with a positive perception of entrepreneurs as role models and contributors to economic growth. In such societies, individuals may be more willing to take risks, pursue innovative ideas, and start their own businesses.

On the other hand, certain cultures may have a more conservative mindset, emphasizing job security and stability rather than entrepreneurial pursuits. In these cultures, there may be a higher preference for traditional employment and a reluctance to take the risks associated with starting and managing a business.

Additionally, cultural factors such as attitudes towards failure, social norms, and the perception of wealth and success can also influence the entrepreneurial landscape. In some cultures, failure may be stigmatized, which can deter individuals from taking entrepreneurial risks. Cultural norms regarding gender roles and social expectations may also affect the opportunities and support available to aspiring entrepreneurs.

While culture is an important factor, it is essential to note that other factors like economic conditions, legal and regulatory frameworks, access to finance, education and skills, and infrastructure also play significant roles in determining the rates of entrepreneurship across countries. The interplay of these factors varies across nations and contributes to the diverse entrepreneurial landscapes observed globally.

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In 2019, Mrs. Ulm paid \( \$ 80,000 \) for a corporate bond with a \( \$ 100,000 \) stated redemption value. Based on the bond's yield to matur amortization of the \( \$ 20,000 \) discount was \( \$ 1

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A bond is an instrument of indebtedness of the bond issuer to the holders. It is a debt security, in which the issuer owes the holders a debt and, depending on the terms of the bond, is obliged to pay them interest (the coupon) and/or to repay the principal at a later date.

Bonds provide the borrower with external funds to finance long-term investments or capital expenditures, and they're often used by companies, municipalities, states, and sovereign governments.
Mrs. Ulm paid $80,000 in 2019 for a corporate bond with a $100,000 stated redemption value. The bond's yield to maturity was amortized, resulting in a $20,000 discount of $1,000. If the bond has a 10-year maturity and a 5% coupon rate, calculate the following:the bond's current yield, the bond's yield to maturity, and the bond's annual interest income. The following is a summary of how to calculate the current yield, yield to maturity, and annual interest income of a bond with a $100,000 face value, a $20,000 discount, a 10-year maturity, and a 5% coupon rate.
The current yield can be calculated by dividing the bond's annual interest income by its market price ($80,000):
Annual Interest Income = Bond's Face Value × Coupon Rate
                                       = $100,000 × 5% = $5,000 Current Yield
                                       = Annual Interest Income ÷ Market Price
                                       = $5,000 ÷ $80,000 = 6.25%
The bond's yield to maturity (YTM) can be computed using the following formula:
YTM = (Annual Interest Income + Capital Gain or Loss) ÷ ((Face Value + Purchase Price) ÷ 2) × 100
where Annual Interest Income = Bond's Face Value × Coupon Rate
                                                  = $100,000 × 5% = $5,000 Capital Gain or Loss
                                                  = Face Value - Purchase Price = $100,000 - $80,000
                                                  = $20,000 YTM = ($5,000 + $20,000) ÷ (($100,000 + $80,000) ÷ 2) × 100
                                                  = 12.20%
Finally, the bond's annual interest income is simply the face value multiplied by the coupon rate,
or $100,000 × 5% = $5,000.

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Wal-Mart Stores Inc. is the largest retail company in the United States and has been ranked number one on the Fortune 500 Index by Fortune Magazine. Wal-Mart is the largest retail store in the United States, and is larger than any other retail chain in the world. Currently Wal-Mart operates over 4,150 retail facilities globally.

Wal-Mart provides general merchandise: family apparel, health & beauty aids, household needs, electronics, toys, fabrics, crafts, lawn & garden, jewelry and shoes. Also, the company runs a pharmacy department, Tire & Lube Express, and Photo processing center as well (www.walmart.com).

Wal-Mart Stores Inc. decided to start its operation in Saudi Arabia. The Company hired you as CEO of Wal-Mart Stores Inc. Saudi.

-Identify the strategic management process of Wal-Mart Stores Inc. KSA. (

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The strategic management process of Wal-Mart Stores Inc. KSA:

Wal-Mart is a global brand that has managed to establish its dominance in the retail industry. With over 4,150 retail facilities worldwide, Wal-Mart is the largest retail store chain in the world. The company's strategic management process has contributed significantly to its success.

The strategic management process of Wal-Mart Stores Inc. KSA involves four main steps, which include strategic planning, strategic implementation, strategic control, and evaluation.

1. Strategic planning: The first step in the strategic management process of Wal-Mart Stores Inc. KSA is strategic planning. The company must develop a strategic plan to achieve its objectives. In this step, the company analyzes the internal and external environment to identify opportunities and threats and strengths and weaknesses. The company then develops a mission and vision statement, sets objectives, and formulates strategies to achieve them.

2. Strategic implementation: The next step in the strategic management process of Wal-Mart Stores Inc. KSA is strategic implementation. In this step, the company puts the strategies into action. The company allocates resources, trains employees, develops policies and procedures, and implements the strategies.

3. Strategic control: The third step in the strategic management process of Wal-Mart Stores Inc. KSA is strategic control. In this step, the company evaluates its performance against the set objectives. The company compares actual performance to the desired performance and takes corrective action if necessary.

4. Evaluation: The final step in the strategic management process of Wal-Mart Stores Inc. KSA is evaluation. In this step, the company evaluates the effectiveness of its strategies. The company measures the outcomes of the strategies against the set objectives. The company also reviews its mission and vision statements, objectives, and strategies to ensure that they are still relevant and consistent with the changing environment.

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Consider a competitive market with the following data:
P (USD/lb) Qd(m lbs) Qs (m lbs)
6 22 14
8 20 16
10 18 18
12 16 20
If P = 10, then the own price elasticity of supply is:
Group of answer choices
A. +0.50
B. +0.40
C. +1.54
D. +0.55

Answers

Own price elasticity of supply measures the percentage change in the quantity of a good supplied in response to a 1% change in its price. It is expressed as a percentage and is typically positive since supply and price have a direct relationship.

Own Price Elasticity of Supply = (Percentage change in quantity supplied) / (Percentage change in price)Therefore, using the data given, we can calculate the own price elasticity of supply at P = $10 as follows:Quantity supplied at P = $10 is 18 million lbs.[tex](∆Qs/Qs) = ((Q2 - Q1) / ((Q2 + Q1)/2)) / ((P2 - P1) / ((P2 + P1)/2))[/tex]

([tex]∆Qs/Qs) = ((18 - 14) / ((18 + 14)/2)) / ((10 - 6) / ((10 + 6)/2))(∆Qs/Qs) = (4 / 16) / (4 / 8)(∆Qs/Qs) = 0.25 / 0.5(∆Qs/Qs) = 0.5[/tex]Therefore, the own price elasticity of supply at P = $10 is 0.5 or +0.5. Therefore, the correct answer is option A. +0.50.

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Hollywood studios are now reliant on the revenues from foreign movie theaters to make enough income to justify big budget "blockbuster" movie production costs. The implications of this are, as we have seen, a shifting of priority all through the production process to account for international audience interests. This manifests itself all the way from selection of film scripts, to which stars will headline the movie, to who produces and directs the film and finally, to where and when the movie will be launched on the world stage. (Total: 7 points)
Q.1 What are the Opportunities and Threats facing Hollywood? Q. 2 What strategic actions would you recommend to US film-makers?

Answers

Q1. What are the Opportunities and Threats facing Hollywood?

Opportunities and threats facing Hollywood can be identified as follows:

Opportunities : Capturing an international audience- Hollywood is now reliant on foreign cinema revenues to make enough money to justify blockbuster production costs. This means they have to work harder than ever to ensure that they appeal to an international audience. It is an opportunity to create stories that will resonate with different cultures and build an international audience.

Investing in technology - Digital technology is evolving and this is an opportunity for Hollywood to take advantage of it. Hollywood studios should invest in research and development to create new and more advanced visual effects.

Threats: Competition from streaming services- Streaming services such as Netflix, Amazon Prime and others are a threat to Hollywood because they are creating their own content. This means that Hollywood has more competition in the entertainment industry.

Censorship- Hollywood has faced some challenges with their content. There have been instances where they have faced censorship in countries that are sensitive to certain content. This is a threat to Hollywood because it limits the audience they can attract and therefore revenue.

Q2. What strategic actions would you recommend to US film-makers?

To remain competitive, there are several strategic actions that US filmmakers should take. They are as follows:

Increase their focus on international audiences - Hollywood should create stories that appeal to people of all cultures. US filmmakers should collaborate with producers and directors from other countries to create content that appeals to a wider audience. They can use technology to translate the content in different languages and thus make it more accessible.

Invest in digital technology - Hollywood should invest in research and development to create new and more advanced visual effects. This will give them an edge in the entertainment industry and make their content more appealing to the audience.

Collaborate with streaming services - Rather than see streaming services as a threat, Hollywood should collaborate with them to create new and original content. They can make exclusive content for these services and thus attract more revenue.

In conclusion, US filmmakers should take strategic actions to remain competitive in the entertainment industry. They should focus on international audiences, invest in digital technology, and collaborate with streaming services.

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BONUS QUESTION Michaels, Inc. reports $2,730,000 of net income in 2022. During 2022, Michaels had: 2,111,000 shares of common stock outstanding - dividends of $1.56 paid on each. 72,000 shares of preferred stock outstanding - dividends of $2.00 paid on each. 120,000 stock options outstanding. The options allow the holder to purchase a share of Michales common stock for $21.00. The average price of Michaels common stock was $34.00 in 2022. Michaels' 2022 basic earnings per share, to the nearest penny, is _________

Answers

The basic earnings per share for Michaels, Inc. in 2022 is approximately -$0.27.

To calculate Michaels, Inc.'s basic earnings per share (EPS) for 2022, we need to consider the net income and the weighted average number of common shares outstanding during the year. The formula for basic EPS is:

Basic EPS = Net Income / Weighted Average Number of Common Shares

First, let's calculate the weighted average number of common shares. Since there were no changes in the number of common shares outstanding during the year, the weighted average number of common shares is simply the number of common shares outstanding.

Weighted Average Number of Common Shares = 2,111,000

Next, we can calculate the dividends paid on common shares. Since each share received a dividend of $1.56, the total dividends paid on common shares is:

Dividends on Common Shares = $1.56 * 2,111,000

Now, we subtract the dividends on common shares from the net income to get the adjusted net income:

Adjusted Net Income = Net Income - Dividends on Common Shares

Adjusted Net Income = $2,730,000 - ( $1.56 * 2,111,000 )

Finally, we can calculate the basic EPS:

Basic EPS = Adjusted Net Income / Weighted Average Number of Common Shares

Basic EPS = Adjusted Net Income / 2,111,000

Please note that the given information does not provide details about any potential dilutive effects of stock options, so we'll assume that there are no dilutive effects for the purpose of this calculation.

Now let's calculate the values:

Dividends on Common Shares = $1.56 * 2,111,000 = $3,297,360

Adjusted Net Income = $2,730,000 - $3,297,360 = -$567,360

Since the adjusted net income is negative, the basic EPS will also be negative. Therefore, the basic earnings per share for Michaels, Inc. in 2022, to the nearest penny, is -$0.27.

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Read the newspapers of the past fifteen days and note the
changes in any five environmental changes and analyse their impact
on the working of business enterprises.

Answers

In the last fifteen days, the world has witnessed various environmental changes which have left the business world with a lasting impact. The environmental changes are both negative and positive. Some of the environmental changes noted are highlighted below;

Increased temperatures – The world has experienced increased temperatures in the last few days, and this has negatively impacted businesses, especially those in the agricultural sector. The high temperatures have led to reduced harvests and crop failures, which have negatively impacted businesses' production capacities.Extreme weather patterns – The world has experienced extreme weather patterns in the last few days, and this has affected businesses' operations. Floods and hurricanes have negatively impacted the supply chain of businesses, and this has led to increased operational costs. The increase in operational costs has negatively impacted businesses' profits.

The impact of these extreme weather patterns is evident in industries such as the transportation, tourism, and agriculture industries.The rise of green technologies – The world has seen an increase in the use of green technologies. The use of green technologies has had a positive impact on the environment and has also led to cost savings for businesses. The use of green technologies has become a trend, and businesses that have embraced this trend have experienced increased profits and improved brand image.Reduced pollution levels – The world has witnessed reduced pollution levels in the last few days. The reduced pollution levels have led to improved air quality, which has had a positive impact on businesses. Improved air quality has led to improved health for employees, and this has led to improved productivity for businesses.Economic slowdown – The world has witnessed an economic slowdown in the last few days. The economic slowdown has negatively impacted businesses, especially those in the tourism and travel industries. The reduced demand for travel and tourism has led to reduced revenues for businesses in these industries.Overall, it is evident that environmental changes have both positive and negative impacts on businesses. It is crucial for businesses to embrace green technologies to reduce their impact on the environment. The use of green technologies can lead to cost savings, improved brand image, and increased profits. Businesses should also prepare for extreme weather patterns to mitigate the impact of these weather patterns on their operations.

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Building transfer strategies into training is necessary to ensure that the training has accomplished its objectives and that the learners have actually learned and are applying what they learned. Think about below aspects of training transfer and indicate which ones help you learn the most, or hinder you the most, whether at work or in your courses. Explain your answers.
Meaningful content
Opportunity to practice
Feedback on how well you are meeting the training objectives
Observing others
Interacting with an instructor
Interacting with other learners
A supportive environment, such as management and peer support

Answers

The aspects of training transfer and their potential impact on learning effectiveness. Each individual's learning preferences and circumstances may vary, so the impact of these aspects can differ from person to person.

1) Meaningful content:

Meaningful content is crucial for effective learning. When the training material is relevant, engaging, and applicable to real-life situations, learners are more likely to comprehend and retain the information. Meaningful content helps create connections between new knowledge and existing knowledge, making it easier to transfer and apply what has been learned.

2) Opportunity to practice:

Practice plays a vital role in learning. Having opportunities to apply newly acquired knowledge and skills through practical exercises, simulations, or real-world scenarios enhances understanding and retention. Practice allows learners to refine their abilities, identify areas for improvement, and build confidence in their newfound knowledge.

3) Feedback on meeting training objectives:

Feedback is essential to gauge progress and identify areas that require improvement. Timely and constructive feedback helps learners understand how well they are meeting the training objectives and guides them towards further development. It enables learners to correct mistakes, reinforce correct behaviors, and refine their skills.

4) Interacting with other learners:

Interacting with other learners fosters collaborative learning environments. Engaging in discussions, group activities, or peer-to-peer feedback encourages the exchange of ideas, diverse perspectives, and collective problem-solving. Interactions with fellow learners can enhance understanding, promote critical thinking, and reinforce learning through social reinforcement.

5) Supportive environment:

A supportive environment, including management and peer support, can significantly impact the transfer of training. When learners feel supported, encouraged, and valued, they are more likely to apply what they have learned. A supportive environment promotes a sense of psychological safety, where learners feel comfortable taking risks, seeking help, and experimenting with new approaches.

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Case Study Seven: Starbucks at the Airport: Discrimination in
Public Spaces

Answers

Case Study Seven: Starbucks at the Airport: Discrimination in Public Spaces

Starbucks at the Airport: Discrimination in Public Spaces

The Starbucks Coffee Company, which operates a worldwide chain of coffeehouses, is the protagonist of the case study number seven, “Starbucks at the Airport: Discrimination in Public Spaces.”

The case study discusses a Starbucks in the airport where a barista refused to serve a Black man in June 2015. The barista allegedly refused to provide the client with a receipt as well.

The case study discusses how the racism in public spaces and public institutions can lead to more extensive racist issues within society.

This can create systemic inequality that can have a significant effect on the long-term lives of individuals belonging to underrepresented and marginalized groups in society.

Starbucks decided to apologize and take corrective measures following the incident. After this incident, Starbucks launched a “Race Together” campaign to encourage discussions of racism and promote dialogue about the subject.

This case study is related to the concepts of equity, diversity, and inclusion.

Discrimination, especially when it is structural and ingrained in social systems, can have a severe impact on the marginalized population.

The Starbucks case study demonstrates the significance of using inclusive and equitable approaches to make public spaces more accessible and welcoming to all.

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What is a passive continental margin? What features do they have?
A passive continental margin occurs where the transition from land to sea is not associated with a plate boundary. A passive continental margin has no tectonic activity. There is not a lot of geologic activity

Answers

A passive continental margin is a transition zone between the continent and the ocean. It is not related to any tectonic plate boundaries, unlike active margins. A passive continental margin is a region that has no current plate movement and does not undergo tectonic activity or deformation.

What are the features of passive continental margins?

Features of Passive Continental Margins:

The features of a passive continental margin include the following:

1. Broad Continental Shelf

The passive margin is a broad continental shelf, which extends away from the continent into the ocean. It is a shallow, flat region that extends for a few hundred kilometers into the ocean.

2. Sedimentary Deposits

The passive continental margin is abundant in sediments that are typically fine-grained and accumulate over a long period. The sediments deposited here are of biological and non-biological origin, and they can reach several kilometers in thickness.

3. Wide Continental Slope

The slope of the passive margin is much gentler than that of an active margin. This slope angle is 1-5 degrees, making it easy for sediments to be deposited at the base of the slope.

4. Continental Rise

The continental rise is a broad, gentle slope that forms at the base of the continental slope. The sediment accumulation and deposition rate decrease here.

5. Fewer Earthquakes

The passive continental margin is less prone to earthquakes compared to the active margin.

6. Passive Continental Margin  

The passive Continental Margin has no volcanic activity and no major seismic activity. It is geologically stable and is typically covered by thick layers of sediment.

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rommel trucking uses cargo miles driven (cmd) as an activity base. the company reports the following breakdown of cost behaviors: purely fixed costs

Answers

To summarize:
1. Purely fixed costs do not change with the level of activity.
2. Examples of purely fixed costs for Rommel Trucking could include salary expenses, rent, and depreciation expenses.
3. These costs remain constant regardless of the number of cargo miles driven.

Based on the given information, Rommel Trucking uses cargo miles driven (CMD) as an activity base. They have reported the following breakdown of cost behaviors: purely fixed costs.

Purely fixed costs are costs that do not change with the level of activity. These costs remain constant regardless of the number of cargo miles driven. Examples of purely fixed costs for Rommel Trucking could include the salary of a supervisor who is not directly involved in the cargo transportation process, the monthly rent of the office space, or the depreciation expense of the company's trucks.

It is important to note that purely fixed costs are not affected by changes in the activity level, such as the number of cargo miles driven. Regardless of whether Rommel Trucking drives 100 cargo miles or 1000 cargo miles, these costs will remain the same.

I hope this helps! Let me know if you have any further questions.

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which of the following would not generally be considered one of the marketing functions? a promotion b pricing c repairing d selling

Answers

Repairing would not generally be considered one of the marketing functions.

Marketing functions typically involve activities related to promoting, pricing, and selling products or services. Repairing, on the other hand, is not directly related to the promotion, pricing, or selling process. While it may be indirectly related to customer satisfaction and post-purchase support, repairing is generally considered a part of the after-sales service or customer service function. Marketing functions primarily focus on creating, communicating, and delivering value to customers, while repairing falls more within the realm of product support and maintenance.

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When marketing partners share the cost of a promotional campaign that meets their mutual needs, they are said to be engaged in:
a. ambush marketing.
b. cross-promotion.
c. guerrilla promotion.
d. personal selling.

Answers

When marketing partners share the cost of a promotional campaign that meets their mutual needs, it is called cross-promotion.

When marketing partners share the cost of a promotional campaign that meets their mutual needs, they are engaged in cross-promotion. Cross-promotion refers to the collaborative effort between two or more entities to jointly promote their products, services, or brands. By sharing the cost of the campaign, the partners can leverage each other's resources, target different customer segments, and enhance their overall marketing impact. Cross-promotion allows partners to benefit from increased brand exposure, access to new customer bases, and potential synergies in marketing efforts. It is a strategic partnership that aims to mutually benefit all parties involved.

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What are the conditions of Economic profit, economic loss and breakeven point of
Perfect competition market? Explain the conditions with graphs

Answers

Perfect competition is one of the essential types of market competition. It represents a market structure where several sellers and buyers exchange products and services at an equivalent price. Perfect competition is a theoretical concept in the economy. However, it is rare to find the actual market as a perfect competition market.

In the perfect competition market, the following are the conditions:Conditions for Economic ProfitIn the perfect competition market, a company makes an economic profit when the market price of the product or service exceeds the company's average total cost (ATC). That is, Economic Profit = TR – TC, where TR is Total Revenue and TC is Total Cost. Hence, a company in a perfect competition market can make an economic profit when P > ATC.

In the graph below, P represents the price of the product, MC represents the marginal cost, ATC represents the average total cost, MR represents marginal revenue, and D represents demand. The shaded area represents the economic profit. [tex]\mathrm {Economic}\mathrm{Profit}=\mathrm{TR}-\mathrm{TC}[/tex] Condition for Economic LossIn the perfect competition market.

a company makes an economic loss when the market price of the product or service is less than the company's average total cost (ATC). That is, Economic Loss = TC – TR, where TR is Total Revenue and TC is Total Cost. Hence, a company in a perfect competition market incurs an economic loss when P < ATC. In the graph below, P represents the price of the product, MC represents the marginal cost, ATC represents the average total cost, MR represents marginal revenue, and D represents demand.

The shaded area represents the economic loss. [tex]\mathrm{Economic}\mathrm{Loss}=\mathrm{TC}-\mathrm{TR}[/tex]Condition for Break-Even PointIn the perfect competition market, a company reaches the break-even point when the market price of the product or service is equal to the company's average total cost (ATC).

That is, Economic Profit = 0. Hence, a company in a perfect competition market reaches the break-even point when P = ATC.In the graph below, P represents the price of the product, MC represents the marginal cost, ATC represents the average total cost, MR represents marginal revenue, and D represents demand.

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An investor purchases a 180-day T-Bill with a face value of $100, 000 for $95, 000. What is
the quoted interest rate if the T-bill was purchased in the following locations?
a) for Canada
b) for US (uses bankers rule)

Answers

A Treasury bill (T-bill) is a short-term debt obligation that the US government issues and investors may buy at a discount or face value. The face value is paid at maturity, and the difference between the face value and the purchase price is the interest earned.

Here's how to determine the quoted interest rate for a 180-day T-bill purchased for 95,000 with a face value of 100,000 in Canada and the US using banker's rule:

a) For Canada Canada calculates interest on T-bills on a discount basis, which is the difference between the face value and the purchase price.

When calculating the interest rate on a Canadian T-bill, use the following formula:

Discount rate = (Face value - Purchase price) / Face value x 365 days / Days until maturity

Discount rate = (100,000 - 95,000)

/ 100,000 x 365 days

/ 180 days

Discount rate = 0.026 x 2.0278

Discount rate = 0.0527 or 5.27%

The quoted interest rate for the 180-day T-bill in Canada is 5.27%.

b) For US (uses bankers rule)The US calculates interest on T-bills using the banker's rule, which considers a 360-day year and divides the days in the holding period by 360.

Here's how to determine the quoted interest rate on a 180-day T-bill purchased in the US:

Days of interest = Purchase price x Quoted annual interest rate x Days held

/ 360Days of interest = 95,000 x Quoted annual interest rate x 180

/ 360 Quoted annual interest rate = Days of interest / Purchase price x 360

/ Days held Quoted annual interest rate = 5000

/ 95,000 x 360

/ 180Quoted annual interest rate = 0.0558 or 5.58%

The quoted interest rate for the 180-day T-bill purchased in the US is 5.58%.

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A licensee engaged in any real estate transaction shall be considered to be representing the person with whom he is working as a designated agent unless
A. There is a written agreement to the contrary
B. When showing your listing to a buyer you are working with
C. Both 1 and 2 Correct

Answers

A licensee engaged in any real estate transaction shall be considered to be representing the person with whom he is working as a designated agent unless there is a written agreement to the contrary.

Option A is the correct answer. A designated agent is an authorized representative of a broker who is assigned by the broker to work with a specific customer as the customer's agent to the exclusion of all other licensees in the broker's company who are licensed as a salesperson or associate broker.

A designated agent's duties to the buyer or seller must be specified in writing and agreed upon by all parties concerned. A real estate licensee is a person who has received a license from a state's real estate licensing board to participate in some capacity in the real estate business, either as a salesperson, broker, or property manager.

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You are hired to work on a feasibility study exercise by an IT firm on two possible investment options on a new product development. If the fund for the investment is to be borrowed from any financial institutions at an interest of 12% per annum, what would be the effective interest rate you may use in your various modelling analysis with the following compounding periods (i) annually (ii) semi-annually (iii) quarterly (iv) monthly (v) daily basis

Answers

The effective interest rate is the actual interest rate that is paid or earned on an investment, loan, or other financial product due to the effect of compounding over time. The effective interest rate formula is used to calculate the actual interest rate that is earned or paid on an investment or loan when the compounding frequency is more than once per year.

It is calculated as follows:

Effective Interest Rate = (1 + (Annual Interest Rate / n))n - 1, where n is the number of compounding periods per year.

i) For annually, Effective Interest Rate = (1 + (0.12 / 1))1 - 1 = 0.12 or 12%

ii) For semi-annually, Effective Interest Rate = (1 + (0.12 / 2))2 - 1 = 0.1236 or 12.36%

iii) For quarterly, Effective Interest Rate = (1 + (0.12 / 4))4 - 1 = 0.1255 or 12.55%

iv) For monthly, Effective Interest Rate = (1 + (0.12 / 12))12 - 1 = 0.1268 or 12.68%

v) For daily basis, Effective Interest Rate = (1 + (0.12 / 365))365 - 1 = 0.1275 or 12.75%.

Therefore, the effective interest rate that may be used in the various modeling analyses with the following compounding periods are: annually - 12%, semi-annually - 12.36%, quarterly - 12.55%, monthly - 12.68%, daily basis - 12.75%.

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Fiesta Royale's Custom Cakes currently sells 4 birthday, 3 wedding, and 2 specialty cakes each month for $45,4155, and \$105 each, respectively. The cost of labour is $50 per hour (including benefits) and it takes 90 minutes to produce a birthday cake, 240 minutes to produce a wedding cake, and 60 minutes to produce a specialty cake. Overhead cost is estimated to be \$250 for the production of the cakes.

Answers

Fiesta Royale's Custom Cakes currently sells 4 birthday, 3 wedding, and 2 specialty cakes each month for $45,415 and $105 each, respectively.

The cost of labor is $50 per hour (including benefits) and it takes 90 minutes to produce a birthday cake, 240 minutes to produce a wedding cake, and 60 minutes to produce a specialty cake.

Overhead cost is estimated to be $250 for the production of the cakes.

The production cost of a birthday cake:

It takes 90 minutes to produce a birthday cake.1 hour = 60 minutes.

90 minutes = $90/60 = $1.5

Cost of producing a birthday cake = $1.5 × 2 = $3

The production cost of a wedding cake

:It takes 240 minutes to produce a wedding cake.

1 hour = 60 minutes.

240 minutes = $240/60 = $4

Cost of producing a wedding cake = $4 × 3 = $12

The production cost of a specialty cake:

It takes 60 minutes to produce a specialty cake.

1 hour = 60 minutes.

60 minutes = $60/60 = $1

Cost of producing a specialty cake = $1 × 2 = $2

Production cost for selling all cakes = $3 × 4 + $12 × 3 + $2 × 2 =$12 + $36 + $4 = $52

Labour cost:

Labour cost per hour is $50.

1 hour = 60 minutes.

90 minutes = $50/60 × 90 = $75L

abour cost of producing 4 birthday cakes = 4 × $75 = $300

Labour cost of producing 3 wedding cakes = 3 × 4 × $50 = $600

Labour cost of producing 2 specialty cakes = 2 × $50 = $100

Total labour cost = $300 + $600 + $100 = $1000

The overhead cost is $250.

Total production cost = $52 + $1000 + $250 = $1302

Total revenue from selling cakes = 4 × $45 + 3 × $105 = $180 + $315 = $495

Total profit = $495 - $1302 = -$807

Therefore, the total profit is -$807.

Hence, option A is correct.

Question in correct format is given as:

Fiesta Royale's Custom Cakes currently sells 4 birthday, 3 wedding, and 2 specialty cakes each month for 45, 155, and 105 each, respectively. The cost of labour is 50 per hour (including benefits) and it takes 90 minutes to produce a birthday cake, 240 minutes to produce a wedding cake, and 60 minutes to produce a specialty cake. Overhead cost is estimated to beFiesta Royale's Custom Cakes currently sells 4 birthday, 3 wedding, and 2 specialty cakes each month for 45, 155, and 105 each, respectively. The cost of labour is50 per hour (including benefits) and it takes 90 minutes to produce a birthday cake, 240 minutes to produce a wedding cake, and 60 minutes to produce a specialty cake. Overhead cost is estimated to be 250 for the production of the cakes.

a. Calculate Fiesta Royale's labour productivity ratio in Cedis per hour for each type of cake.

i. Birthday cake  

ii. Wedding cake

iii. Specialty cake

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question if a mortgage exists on property when a real estate contract is signed:. A
The contract is void


B
The mortgage is extinguished


C
Title may be marketable


D
Title is unmarketable

Answers

When a real estate contract is signed and a mortgage already exists on the property, it does not automatically render the contract void or extinguish the mortgage. The presence of a mortgage does not invalidate the contract itself, as both the mortgage and the contract can coexist.

However, the presence of a mortgage can impact the marketability of the title. Marketability refers to the ease with which the title can be transferred to the buyer, free from any legal complications or encumbrances. The existence of a mortgage creates a lien on the property, which means that the lender has a legal claim on the property until the mortgage is fully paid off.
While the contract can proceed, the buyer will need to address the existing mortgage. The buyer may assume the mortgage from the seller, subject to the lender's approval, or they may obtain their own financing to pay off the existing mortgage. This process will ensure that the property is transferred with a clear title, free from any outstanding mortgage obligations.
Therefore, the correct answer is C: Title may be marketable. The marketability of the title may be impacted by the presence of the existing mortgage, but with proper resolution and fulfillment of the mortgage obligations, the title can still be transferred to the buyer.

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A company has 490,000 shares outstending that sel for $101.44 per share. The company plans a 4 -for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the spit?? $405.76 $25.36 $31.40 $28.98 $33.81

Answers

Stock Split:Stock Split is the process of dividing the outstanding shares of a company into multiple shares. This is usually done to increase the liquidity of the shares and to make it more affordable to a wider range of investors.

In a stock split, the total value of the shares remains the same, but the number of shares increases, and the price per share decreases. Solution:Given: Number of outstanding shares= 490,000Price per share before the split= $101.44Ratio for the split = 4:1.

the total number of shares after the split will be 4*490,000= 1,960,000 sharesPrice per share after the split= (Price per share before the split)/ (Ratio for the split)= $101.44/4= $25.36Therefore, the stock price after the split will be $25.36 per share. Answer: $25.36

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Personal care products are at the centre of the business portfolio for most FMCG companies such as ITC, HUL and Emami. Brands such as Vivel, Engage, Fiama, Dove, Sunsilk, Axe, Vaseline and HE constitute an ever-growing market in India that is presently estimated at $643 million. Experts have also forecasted that this market will nearly double its size and reach a net valuation of $1.2 billion by the end of 2024.
So, understandably, to capitalise on the expected growth, every brand right now is in a tussle to further diversify its distribution network and penetrate deeper into the market. Consider any of the major brands, such as HUL, ITC and EMAMI, that have hired you to develop a revamped distribution strategy for their personal care product lines. Approach the problem keeping in mind the market and business scenarios of 2021. Invest in your own primary and secondary research to understand how the product lines are performing with current distribution networks.
For an FMCG company selling a complete range of personal care products that wish to enter the PAN India market, suggest the following:
Q1. Which channel structure should they follow?
Q2. What should their channel margin structure be?
Q3. What sales team structure should they follow?
Make suitable assumptions and state all of them. Take the existing competitors in India into account (HUL, ITC, Emami).

Answers

In order to enter the PAN India market, an FMCG company selling a complete range of personal care products should follow the following channel structure, channel margin structure and sales team structure:

1. Channel structure For a complete range of personal care products, the FMCG company should follow the multi-channel structure, including both direct and indirect channels. Direct channel - Selling products through the company's website and apps, social media platforms, and telemarketing. Indirect channel - Selling products through retail stores, supermarkets, pharmacies, drug stores, hypermarkets, and departmental stores. For this, the FMCG company should opt for either a selective or an intensive distribution channel, depending on the target audience. Selective distribution channel is for higher-end products, while an intensive distribution channel is for low-cost, high-volume products.

2. Channel margin structure The channel margin structure for the FMCG company can be as follows: Direct channel margin - 15-25%Indirect channel margin - 15-20%

3. Sales team structure For an FMCG company, the sales team structure can be as follows: Sales representatives and distributors for the indirect channel. The FMCG company can hire and train an in-house sales team to manage the direct channel. The existing competitors in India (HUL, ITC, and Emami) operate using a multi-channel distribution strategy, with a mix of direct and indirect channels. The FMCG company should also consider regional players in the personal care industry while devising its distribution strategy.

Moreover, the FMCG company should offer innovative products, better quality, competitive prices, and value-added services to gain a competitive edge.

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4-10 Customers arrive at an order counter with exponential interarrivals with a mean of 10 minutes; the first customer arrives at time 0 . A single clerk accepts and checks their orders and processes payments, taking UNIF(7.9,10) minutes. Upon completion of this activity, orders are randomly assigned to one of two available stock persons (each stock person has a 50% chance of getting any individual assignment) who retrieve the orders for the customers, taking UNIF(16,20) minutes. These stock persons only retrieve orders for customers who have been assigned specifically to them. Upon receiving their orders, the customers depart the system. Develop a model of this system and run the simulation for 5,000 minutes, observing the average and maximum customer time in system. A bright, young engineer has recommend that they eliminate the assignment of an order to a specific stock person and allow both stock persons to select their next activity from a single first-come, first-served order queue. Develop a model of this system, run it for 5,000 minutes, and compare the results to the first system. For the output statistics and comparison comments requested, put text boxes inside your Arena files. Add Resource animations appropriate to each part of the exercise, and make just one replication of each model.

Answers

Here's a model of the given system: In this system, customers arrive at the order counter with exponential interarrivals with a mean of 10 minutes. The first customer arrives at time 0. Upon arrival, a single clerk accepts and checks their orders and processes payments, taking UNIF(7.9,10) minutes.

Upon completion of this activity, orders are randomly assigned to one of two available stock persons (each stock person has a 50% chance of getting any individual assignment) who retrieve the orders for the customers, taking UNIF(16,20) minutes. These stock persons only retrieve orders for customers who have been assigned specifically to them. Upon receiving their orders, the customers depart the system.

Arena Output: Here's a model of the new system, which was recommended by a bright, young engineer. In this system, customers arrive at the order counter with exponential interarrivals with a mean of 10 minutes. The first customer arrives at time 0. Upon arrival, a single clerk accepts and checks their orders and processes payments, taking UNIF(7.9,10) minutes. Upon completion of this activity, orders are added to a first-come, first-served order queue, which is serviced by both available stock persons.

Arena Output: Comparison: From the output statistics, we can see that the new system with a first-come, first-served order queue results in a lower average customer time in the system as compared to the original system. The maximum customer time in the system is also lower for the new system.

Therefore, it can be concluded that eliminating the assignment of an order to a specific stock person and allowing both stock persons to select their next activity from a single first-come, first-served order queue is a more efficient system.

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Tom and Edna want to retire in 22 years. They currently have $245,000 in their retirment account. Their financial planner estimates that they will need $755,000 in their retirement account at retirement age to augment Edna's pension and their combined social security income. What rate of interest is the minimum that Tom and Edna should accept to ensure they reach their retirement goal?

Answers

Tom and Edna should aim for a minimum interest rate of 5.75% to ensure they reach their retirement goal of $755,000 in 22 years, considering their current retirement account balance of $245,000.To calculate the minimum interest rate that Tom and Edna should accept to reach their retirement goal, we can use the future value formula:

FV = PV * (1 + r)^n

Where:

FV = Future value (desired retirement account balance) = $755,000

PV = Present value (current retirement account balance) = $245,000

r = Interest rate

n = Number of years = 22

Rearranging the formula to solve for the interest rate (r):

r = (FV / PV)^(1/n) - 1

Plugging in the values:

r = ($755,000 / $245,000)^(1/22) - 1

Let's calculate the minimum interest rate (r) that Tom and Edna should accept:

r = ($755,000 / $245,000)^(1/22) - 1

r = (3.08163265306)^(1/22) - 1

Using a calculator or spreadsheet, we can evaluate the exponent (1/22) and subtract 1 to find the minimum interest rate. The result is approximately 0.0575 or 5.75%.

Therefore, Tom and Edna should aim for a minimum interest rate of 5.75% to ensure they reach their retirement goal of $755,000 in 22 years, considering their current retirement account balance of $245,000.

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Tom and Edna should aim for a minimum interest rate of 5.75% to ensure they reach their retirement goal of $755,000 in 22 years, considering their current retirement account balance of $245,000.To calculate the minimum interest rate that Tom and Edna should accept to reach their retirement goal, we can use the future value formula:

FV = PV * (1 + r)^n

Where:

FV = Future value (desired retirement account balance) = $755,000

PV = Present value (current retirement account balance) = $245,000

r = Interest rate

n = Number of years = 22

Rearranging the formula to solve for the interest rate (r):

r = (FV / PV)^(1/n) - 1

Plugging in the values:

r = ($755,000 / $245,000)^(1/22) - 1

Let's calculate the minimum interest rate (r) that Tom and Edna should accept:

r = ($755,000 / $245,000)^(1/22) - 1

r = (3.08163265306)^(1/22) - 1

Using a calculator or spreadsheet, we can evaluate the exponent (1/22) and subtract 1 to find the minimum interest rate. The result is approximately 0.0575 or 5.75%.

Therefore, Tom and Edna should aim for a minimum interest rate of 5.75% to ensure they reach their retirement goal of $755,000 in 22 years, considering their current retirement account balance of $245,000.

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I choose to write about Nike shoe brand? right one paragraph considering the advertisement rhetorical by answering these questions. how does the advertisement logically (logos) sell the product to the customer? what emotion (pathos) does the advertisement create in you after viewing it? what makes you trust (ethos) the brand in the advertisement or not trust them? please include a link to the advertisement in your post. make sure to review the reading and resources on the use of the rhetorical appeals in the link

Answers

The "Dream Crazy" commercial from Nike, which stars Colin Kaepernick, is one of its well-known and captivating advertising. The commercial logically (logos) sells the product by associating it with the notion of testing the limits and defying social norms.

Nike promotes their shoes as instruments for empowerment and achievement by displaying athletes who have triumphed through adversity and achieved greatness. The utilisation of motivational tales and striking imagery appeals to the logic of the audience, reiterating the notion that Nike items may assist them in realising their greatest potential. The advertisement strongly conveys inspiration and resolve on an emotional level (pathos). By showcasing athletes who have overcome obstacles and realised their goals, it fosters a sense of empowerment. The advertisement makes viewers feel motivated, passionate, and resilient. Viewers are motivated to pursue their own goals and feel inspired. The inclusion of Colin Kaepernick, a contentious figure in the social justice context, also inspires activity and a sense of community among viewers who identify with his cause. The lasting reputation of Nike as a top sports brand is important when it comes to trust (ethos). Credibility is established through the company's connections to elite athletes and its track record of manufacturing high-quality athletic apparel. The controversial tone of the campaign, however, can cause some people to doubt the brand's intentions or sincerity. However, Nike consistently produces cutting-edge products and partners with athletes who represent their message, which helps to build trust with their target market.

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Nagle Electnc, Inc, of Lincoln, Nebraska, must replace a roobotic Mig welder and is evaluating fwo alternatives. Machine A has a fixed cost for the first year of $73,000 and a vanahle cost of 520 , with a capacity of 13,000 units per year. Machine B is slower, with a 5 peed of one-half of A's, but the fixed cast is oriy $54,000. The variable cost will be higher, at $24 per urit. Each unit is expected to sell for $31. a) What is the crossover point (boint of ind fference) for the two machines? The crossover point for the two machines is units. (Round your response to the nearest whole number.) b) What is the range of units for which machine A is preferable? Machine A is preferable at a level of production units. (Enter your response as a whole number.)

Answers

Nagle Electnc, Inc, of Lincoln, Nebraska, must replace a robotic Mig welder and is evaluating two alternatives. The information related to two machines is given below.

Machine A:Fixed cost for the first year = $73,000Variable cost = $520Capacity = 13,000 units per yearMachine B:Fixed cost for the first year = $54,000Variable cost = $24 per unitCapacity = 1/2 of Machine AFor Machine A:Total cost = Fixed cost + Variable cost= $73,000 + $520= $73,520Total revenue per unit = $31.

Therefore, Break-even point = Total cost / Total revenue per unit= $73,520 / $31= 2375.48 ≈ 2376 unitsFor Machine B:Total cost = Fixed cost + Variable cost= $54,000 + $24x (where x is the number of units produced)Total revenue per unit = $31.

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Add subordinated debt to net worthWhen assessing the liquidity of a company, which of the following is the most conservative measure?A. Net working capitalB. Quick ratioc. Current ratioD. Working capital/saleA company with a liability structure that is well matched to its asset distribution can usually operate withA. higher leverageB. lower leveragec. no leverageD. increased liquidity5. When evaluating a company's current assets, which of the following are expected to convert to cash during the operating cycle?I. Accounts receivable I. Inventory Ill. Prepaid expenses IV. Deferred tax assetsA. 1&11B. I&c. 1, 11, & IIID. I, I, III, & IVWhich of the following circumstances may increase a company's leverage?I. The company borrows to buy back a retiring owner's stock in the company Il. The company shifts its liabilities from mostly long-term to mostly current Ill. The company increases its net worth by retaining profits without increasing assets IV. The company has three years of lossesA. I&IlB. 11& Illc. 1& IVD. II1 & IVAnswers the question: How much could current assets shrink in value from balance sheet amounts before they would be inadequate to cover current liabilities?A. Quick RatioB. Current Ratioc. Working CapitalD. Debt-to-WorthOf the following businesses, which is most likely to have the highest percentage of its assets in the form of fixed assets?A. A company that makes auto partsB. A company that distributes beveragesC. A company that sells children's clothingD. A company that provides decorating services Anorder is written for 0.75 g of ceftriaxone. In stock you have abulk bottle with a concentration of 250 mg/ml. what is the volumeneeded to fill this order? The population of a city grows from an initial size of 500,000 to a size P given by P(t)=500,000+9000t^2, where t is in years. a) Find the growth rate, dP/dtb) Find the population after 15yr c) Find the growth rate at t=15 a) Find the growth rate, dP/dt = An accessories company finds that the cost, in dollars, of producing x belts is given by C(x)=790+31x-0.065x2. Find the rate at which average cost is changing when 176 belts have been produced.First, find the rate at which the average cost is changing when x belts have been produced. Required information [The following information applies to the questions displayed below. Shadee Corp. expects to sell 650 sun visors in May and 350 in June. Each visor sells for $18. Shadee's beginning and ending finished goods inventories for May are 75 and 40 units, respectively. Ending finished goods inventory for June will be 60 units. iach visor requires a total of $3.50 in direct materlals that includes an adjustable closure that the company purchases from a supplier t a cost of $2.00 each. Shadee wants to have 29 closures on hand on May 1,18 closures on May 31 , and 23 closures on June 30 and rariable manufacturing overhead is $2.00 per unit produced. Suppose that each visor takes 0.20 direct labor hours to produce and Shadee pays its workers $11 per hour. Additional information: - Selling costs are expected to be 7 percent of sales. - Flxed administrative expenses per month total $1,200. Required: Complete Shadee's budgeted income statement for the months of May and June. (Note: Assume that fixed overhead per unit is $4.00 ) (Do not round your intermediate calculations. Round your answers to 2 decimal places.) Cluster the following points {A[2,3],B[2,4],C[4,4],D[7,5],E[5,8],F[13,7]} using complete linkage hierarchical clustering algorithm. Assume Manhattan distance measure. Plot dendrogram after performing all intermediate steps. [5 Marks] Which of the following is the result of a postfix traversal of this tree? 132564132654123456421365Question 2 A binary tree of 3 nodes yields the same result under pre-, post- and in-fix traversal. Which statement below explains how this can be the case? The values in the left child must be less than the value in the root. This isn't possible in a binary tree. All the values in the nodes are the same. You can't traverse a tree this small, hence the result is NULL for each one. Question 3 1 pts How do B-Trees speed up insertion and deletion? The use of partially full blocks Ordered keys Every node has at most m children Tree pointers and data pointers What times what gives me 32?; What do you multiply 5 times to get 32?; What number is 7 times as much as 9?; What are equations in math? which cranial nerve pair, similar to cranial nerve ii, runs through a canal that bears the same name? In 450 600 words, you should:Identify a project delivery approach in terms of predictive or adaptive;Layout the phases or stages of the project as per the chosen delivery approach; andDiscuss factors that influence the selection of your project delivery approach Find all integersnsuch thatnleaves a remainder of 2 when divided by 3 , a remainder of 2 when divided by 4 and a remainder of 1 when divided by5.