Martinez Company's relevant range of production is 9,500 units to 14,500 units. When it produces and sells 12,000 units, its unit costs are as follows:
Amount per unit
Direct materials $5.60
Direct labor 3.10
Variable manufacturing overhead 1.40
Fixed manufacturing overhead 3.60
Fixed selling expense 2.60
Fixed administrative expense 2.20
Sales commissions 1.20
Variable administrative expense 0.45
If the selling price is $21.60 per unit, what is the contribution margin per unit sold? (Round answer to 2 decimal places)

Answers

Answer 1

The contribution margin per unit sold is $9.85 in the given case

To calculate the contribution margin per unit sold, we need to subtract the variable costs per unit from the selling price per unit.

Variable costs per unit = Direct materials + Direct labor + Variable manufacturing overhead + Sales commissions + Variable administrative expense

Variable costs per unit = $5.60 + $3.10 + $1.40 + $1.20 + $0.45 = $11.75

Contribution margin per unit sold = Selling price per unit - Variable costs per unit

Contribution margin per unit sold = $21.60 - $11.75 = $9.85

Variable costs are costs that change in direct proportion to the level of production or sales. They vary based on the volume of activity or the number of units produced or sold. As production or sales increase, variable costs also increase, and vice versa.

Therefore, the contribution margin per unit sold is $9.85.

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Related Questions

Which of the following entities was NOT a part of the Beatles new company, Apple Corps Ltd?A) Apple RecordsB) Apple TVC) Apple RetailD) Apple Electronics

Answers

Apple TV was not a part of the Beatles' company, Apple Corps Ltd. The correct option is B.

Apple Corps Ltd. was a multimedia corporation founded by the Beatles in 1968. The company was established as a vehicle to manage the Beatles' business affairs and encompassed various ventures, primarily focused on music and entertainment. The primary entity associated with Apple Corps Ltd. was Apple Records (option A).

Apple Records was the Beatles' record label, responsible for releasing their music as well as the work of other artists. It was an integral part of Apple Corps Ltd. and played a significant role in the company's operations.

Apple Retail (option C) and Apple Electronics (option D) were not part of Apple Corps Ltd. Apple Retail refers to the chain of Apple retail stores that began opening in 2001, long after the formation of Apple Corps Ltd. Similarly, Apple Electronics refers to the technology company Apple Inc., which was established in 1976, several years after Apple Corps Ltd. was formed.

Apple TV (option B) specifically refers to the digital media player and streaming device developed by Apple Inc. It was introduced in 2007, again well after the establishment of Apple Corps Ltd. Therefore, Apple TV was not a part of the Beatles' company, Apple Corps Ltd.

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which of the following is false? which of the following is false? the analysis of agriculture, textiles, and clothing in the eu, the united states, and japan supports the proposition that older sectors of the economy are most protected, particularly in cases where the nation has lost a substantial part of its comparative advantage. trade barriers in high-income countries do not cause unintended consequences in low-income countries because most of their trade is with other industrialized countries. even when tariffs are relatively low, the cost per job saved tends to be high. commercial policy is grossly inefficient at achieving the objective of job preservation.

Answers

The false statement is that trade barriers in high-income countries do not cause unintended consequences in low-income countries because most of their trade is with other industrialized countries, option D is correct.

Trade barriers in high-income countries do cause unintended consequences in low-income countries, even if most of their trade is with other industrialized nations. When high-income countries impose trade barriers, it can lead to a decline in imports from low-income countries, affecting their economies and development. Trade barriers limit market access for low-income countries, reducing their export opportunities and hindering their economic growth.

Additionally, trade barriers can lead to a cascading effect, where the impact is felt throughout global supply chains, affecting not only low-income countries but also other countries in the trading network. Thus, it is incorrect to assume that trade barriers in high-income countries have no unintended consequences for low-income countries, regardless of their trade composition, option D is correct.

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The complete question is:

Which of the following is False?

A) The analysis of agriculture, textiles, and clothing in the EU, the United States, and Japan supports the proposition that older sectors of the economy are most protected, particularly in cases where the nation has lost a substantial part of its comparative advantage.

B) Even when tariffs are relatively low, the cost per job saved tends to be high.

C) Commercial policy is grossly inefficient at achieving the objective of job preservation.

D) Trade barriers in high-income countries do not cause unintended consequences in low-income countries because most of their trade is with other industrialized countries.

smithco employees believe the company fairly applies its policies and strives to live up to its stated values. it is accurate to say that smithco has a(n)
a. ethnocentric culture. b. positive diversity climate. c. holistic wellness program. d. employee assistance program.

Answers

Option b is correct. Smithco employees believe the company fairly applies its policies and strives to live up to its stated values. it is accurate to say that smithco has positive diversity climate.

A positive diversity climate refers to an organizational culture and environment that values and promotes diversity, equity, and inclusion. It creates a sense of fairness and equality among employees, regardless of their background or characteristics. In the given scenario, the employees of SmithCo believe that the company fairly applies its policies and strives to live up to its stated values, indicating a positive diversity climate.

Option a. ethnocentric culture refers to a culture that favors or prioritizes the norms, values, and perspectives of a particular ethnic or cultural group. This option is not applicable based on the given information.

Option c. holistic wellness program refers to a comprehensive program that focuses on the overall well-being of employees, including physical, mental, and emotional health. This option is not applicable based on the given information.

Option d. employee assistance program (EAP) is a program that provides support and resources to employees facing personal or work-related challenges. This option is not applicable based on the given information.

In conclusion, based on the information provided, it can be inferred that SmithCo has a positive diversity climate as its employees perceive the company to fairly apply policies and uphold its stated values, indicating an inclusive and equitable work environment.

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1. Understanding how shirking decreases team output
Cho sells bottled water from a small stand by the beach. On the last day of summer vacation, many people are on the beach, and Cho realizes that she can make a lot more money this day if she hires someone to walk up and down the beach selling water. She finds a college student named Bob and makes him the following offer: They'll each sell water all day and split their earnings (revenue minus the cost of water) equally at the end of the day. Cho knows that if they both work hard, Bob will earn $110 on the beach and Cho will earn $240 at her stand, so they will each take home half of their total revenue:110 + 240
2
=
175. If Bob shirks, he'll generate only $60 in earnings. Cho does not know that Bob estimates his personal cost (or disutility) of working hard as opposed to shirking at $30.
Once out of Cho's sight, Bob faces a dilemma: work hard (put in full effort) or shirk (put in low effort).
1. In terms of Bob's total utility, it is worse for him to (work hard/shirk).
2. Taking into account the loss in utility that working hard brings to Bob, Cho and Bob together (are not/are) better off if Bob shirks instead of working hard.
3. Cho knows Bob will shirk if unsupervised. She considers hiring her good friend Carrie to keep an eye on Bob. The most Cho should be willing to pay Carrie to supervise Bob, assuming supervision is sufficient to encourage Bob to work hard, is ($55/$20/$30/$25).
4. It turns out that Cho's friend Carrue is unavilable that day, so Cho cannot find a reliable person to watch Bob. Which of the following arrangements will ensure that Bob works hard without making Cho any worse off than she is when Bob shirks?
a. Pay Bob $20, regardless of how many bottles of water he sells
b. Allow Bob to keep 75% of the revenue from the bottles of water he sells instead of 50%
c. Make Bob promise to work hard
d. Allow Bob to keep 57% of the revenue from the bottles of water he sells instead of 50%

Answers

Utility refers to the usefulness or value that something provides in fulfilling a particular purpose or satisfying a need or want. It is a concept commonly used in economics and decision theory to measure the satisfaction or benefit that individuals or society derive from consuming goods or services.

In terms of Bob's total utility, it is worse for him to shirk.

Taking into account the loss in utility that working hard brings to Bob, Cho and Bob together are better off if Bob shirks instead of working hard.

Cho knows Bob will shirk if unsupervised. She considers hiring her good friend Carrie to keep an eye on Bob. The most Cho should be willing to pay Carrie to supervise Bob, assuming supervision is sufficient to encourage Bob to work hard, is $30.

It turns out that Cho's friend Carrie is unavailable that day, so Cho cannot find a reliable person to watch Bob. To ensure that Bob works hard without making Cho any worse off than she is when Bob shirks, the following arrangement can be made:

d. Allow Bob to keep 57% of the revenue from the bottles of water he sells instead of 50%.

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In the 1980s, Japanese manufacturers were able to offer products that were perceived to be superior in quality to US-made products. The Japanese products did not cost more than US products. How were the Japanese able to compete on cost, including ocean shipping?

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Japanese manufacturers in the 1980s implemented Total Quality Management practices such as Kaizen, JIT, and Total Quality Control, enabling them to offer high-quality products at competitive prices through waste reduction, continuous improvement, and efficient shipping practices.

In the 1980s, Japanese manufacturers were able to offer products that were perceived to be superior in quality to US-made products. The Japanese products did not cost more than the US products. The Japanese were able to compete on the cost by implementing Total Quality Management(TQM). They emphasized waste reduction and continuous improvement. This resulted in high-quality products, reduced costs, and increased efficiency.

Japanese manufacturers also implemented a variety of practices that were alien to Western manufacturers. These included: Kaizen - This was a continuous improvement process that enabled employees to improve their work by eliminating waste and reducing errors. This practice led to the development of lean manufacturing systems. Just-in-time (JIT) - This was a logistics management system that allowed manufacturers to produce goods based on customer demand rather than inventory levels. This eliminated the need for large inventory levels and reduced costs.

Total Quality Control - This was a quality control process that focused on the entire manufacturing process, from raw materials to finished products. It allowed manufacturers to identify quality issues at an early stage, which reduced the cost of rework and scrap. By implementing these practices, the Japanese were able to reduce costs and improve the quality of their products. They were also able to compete on the cost by implementing efficient ocean shipping practices. This allowed them to ship goods at a lower cost than their US counterparts.

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Carla Inc., a greeting card company, had the following statements prepared as of December 31, 2020. Cash CARLA INC. COMPARATIVE BALANCE SHEET AS OF DECEMBER 31, 2020 AND 2019 12/31/20 $5,900 62.000 35

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The above text is a partial balance sheet of Carla Inc., a greeting card company, as of December 31, 2020 and 2019. It shows the amount of cash and other assets that the company had at the end of each year. The text is formatted as a table with three columns: the name of the asset, the amount in 2020, and the amount in 2019. The text is written in a professional tone and uses standard accounting terms and symbols. The text is medium in length and consists of one paragraph.

About Balance Sheet

Balance sheet or statement of financial position is part of an entity's financial statements produced in an accounting period that shows the financial position of an entity at the end of that period.

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Please help with requirement 2
and 3
Forber Bakery makes baked goods for grocery stores, and has three divisions: bread, cake, and doughnuts. Each division is run and evaluated separately, but the main headquarters incurs costs that are

Answers

We can see here that: -Bread division operating income = $4,700,000

-Cake division operating income = -$400,000

-Doughnuts division operating income = $4,450,000.

What is operating income?

Operating income, also known as operating profit or operating earnings, is a measure of a company's profitability from its core operations before considering interest income or expenses, taxes, and non-operating items.

Here are the steps on how to allocate the indirect costs of Forber to each division equally:

The total indirect costs to be allocated:

Total indirect costs = $1,900,000 + $1,400,000 + $1,200,000 + $600,000 = $5,100,000

The total indirect costs by the number of divisions:

Number of divisions = 3

Per-division indirect cost allocation = $5,100,000 / 3 = $1,700,000

The indirect costs to each division:

Bread division indirect cost allocation = $1,700,000

Cake division indirect cost allocation = $1,700,000

Doughnuts division indirect cost allocation = $1,700,000

The division operating incomes after allocation of headquarter costs:

Bread division operating income = $6,400,000 - $1,700,000 = $4,700,000

Cake division operating income = $1,300,000 - $1,700,000 = -$400,000

Doughnuts division operating income = $6,150,000 - $1,700,000 = $4,450,000

As you can see, the bread and doughnuts divisions are profitable after allocation of headquarter costs, while the cake division is not. This is because the cake division has a lower number of employees and a smaller amount of square footage than the other two divisions.

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The complete question is:

Forber Bakery makes baked goods for grocery stores and has three divisions: bread, cake, and doughnuts. Each division is run and evaluated separately, but the main headquarters incurs costs that are indirect costs for the divisions. Costs incurred in the main headquarters are as follows:

Human resources (HR) costs $1,900,000

Accounting department costs 1,400,000

Rent and depreciation 1,200,000

Other 600,000

Total costs $5,100,000                                                                                                                                                                                                                                                     The Forber upper management currently allocates this cost to the divisions equally. One of the division managers has done some research on activity-based costing and proposes the use of different allocation bases for the different indirect costs—number of employees for HR costs, total revenues for accounting department costs, square feet of space for rent and depreciation costs, and equal allocation among the divisions of “other” costs. Information about the three divisions follows:

                                   Bread                Cake         Doughnuts

Total revenues       $20,900,000      $4,500,000       $13,400,000  

Direct costs            14,500,000           3,200,000         7,250,000

Segment margin      $6,400,000          $1,300,000     $6,150,000

# of employees:                 400                     100               300

Sq.feet of space:                10,000                  4,000           6,000      

                                                                                                                                     Allocate the indirect costs of Forber to each division equally. Calculate division operating income after allocation of headquarter costs.

Which of the following are principles of GAAP? d ABC Inc. has assets of $100,000, liabilities of $10,000, and owner's equity of $90,000. It buys office equipment on credit for $5,000. What effect would this transaction have on these amounts?

Answers

Based on the illustrations above, there would be no change in the owner's equity, which remains at $90,000.

The principles of GAAP are:

Historical cost principleRevenue recognition principleMatching principleFull disclosure principleGoing concern principleMateriality principleConsistency principle Conservatism principle

The transaction of buying office equipment on credit worth $5,000 would result in an increase in the assets as well as an increase in the liabilities of the company.

The assets will increase from $100,000 to $105,000 ($100,000 + $5,000), and the liabilities will increase from $10,000 to $15,000 ($10,000 + $5,000).

As a result, there would be no change in the owner's equity, which remains at $90,000.

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In the context of stock investment, what does this statement,
"buy the rumors, sell the fact", mean?

Answers

"Buy the rumors, sell the fact" means buying stocks based on rumors or speculation and selling them once the news is confirmed.

The statement "buy the rumors, sell the fact" is a phrase commonly used in stock investment. It suggests a strategy where investors buy stocks based on rumors or speculation and then sell them once the actual facts or news are confirmed or released.The idea behind this strategy is that rumors or speculations often create anticipation and excitement in the market, leading to increased buying interest and potentially driving up the stock price.However, once the actual facts or news are revealed, the market's reaction may not meet the initial expectations, leading to a decline in the stock price. Therefore, investors following this strategy aim to take advantage of the market's reaction to rumors and news by buying before the news is confirmed and selling once the news becomes public.It is important to note that this strategy carries risks and requires careful analysis and consideration of the reliability and potential impact of the rumors or news on the stock's value.

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Under PL 86-272, which of the following does not qualify as a "mere solicitation or orders":
a. Use of hotels and homes for sales-related meetings;
b. Use of space at the salesperson's home solely for the salesperson's convenience;
c. Participation in a trade show or shows for not more than 14 days during the corporation’s tax year for federal income tax purposes.
d. Picking up or replacing damaged or returned property

Answers

Under PL 86-272, the following option does not qualify as a "mere solicitation of orders": c. Participation in a trade show or shows for not more than 14 days during the corporation’s tax year for federal income tax purposes.

Participating in a trade show or shows for more than a limited duration, even if it is within the tax year, goes beyond the scope of a "mere solicitation of orders" and may create nexus for state income tax purposes.

While the exact determination of whether participation in a trade show creates nexus for state income tax purposes can vary depending on the specific facts and laws of the state in question, it is generally considered to go beyond the scope of a "mere solicitation of orders" and may create nexus, thereby subjecting the business to potential state income tax obligations. It is advisable for businesses to consult with tax professionals or legal advisors to determine the specific implications of participating in trade shows in different jurisdictions.

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Use the following table to calculate the expected return from an asset. Return
0.25 0.10 0.20 0.30 Probability 0.30 0.25 0.20 0.25

Answers

The expected return from the asset is 20.25%. This means that, on average, you can expect to earn a return of 20.25% from this asset based on the given probabilities and returns.

The expected return from the asset can be calculated as follows:

Expected return = (Return1 * Probability1) + (Return2 * Probability2) + (Return3 * Probability3) + (Return4 * Probability4)

To calculate the expected return from an asset, you multiply each possible return by its corresponding probability and then sum up the results. In this case, we have four possible returns and their respective probabilities. Let's calculate the expected return step by step:

Expected return = (0.10 * 0.30) + (0.20 * 0.25) + (0.30 * 0.20) + (0.25 * 0.25)

Expected return = 0.03 + 0.05 + 0.06 + 0.0625

Expected return = 0.2025 or 20.25%

Therefore, the expected return from the asset is 20.25%. This means that, on average, you can expect to earn a return of 20.25%.

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T/F: the discount period is the time between the invoice date and a specified date on which the payment amount owed can be (increased/reduced) because of early payment.

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True. The discount period refers to the timeframe between the invoice date and a specified date on which the payment amount owed can be reduced because of early payment. During the discount period, a seller may offer a discount to incentivize the buyer to make the payment earlier than the standard payment terms.

The discount is typically expressed as a percentage of the invoice amount. For example, a common discount term may be "2/10, net 30," which means that the buyer can deduct 2% from the invoice amount if they make the payment within 10 days. Otherwise, the full amount is due within 30 days. By offering discounts, sellers encourage prompt payment, which can improve their cash flow and reduce the risk of late or non-payment. Buyers, in turn, benefit from the opportunity to reduce their payment obligation by taking advantage of the discount. The discount period provides an incentive for buyers to settle their accounts earlier, ultimately benefiting both parties involved in the transaction.

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Your pro forma income statement shows sales of $983,000, cost of goods sold as $513,000, depreciation expense of $104,000, and taxes of $146,400 due to a tax rate of 40%. What are your pro forma earnings? What is your pro forma free cash flow?

Answers

Pro forma earnings: $219,600

Pro forma free cash flow: -$30,800.

What are the pro forma earnings and free cash flow?

Pro forma earnings can be calculated by subtracting the cost of goods sold and depreciation expense from the sales and subtracting the taxes from the result. Pro forma free cash flow can be calculated by subtracting the taxes and depreciation expense from the earnings.

The Pro forma earnings is equals to:

= Sales - Cost of goods sold - Depreciation expense - Taxes

= $983,000 - $513,000 - $104,000 - $146,400

= $219,600

The Pro forma free cash flow is equals to:

= Earnings - Taxes - Depreciation expense

= $219,600 - $146,400 - $104,000

= -$30,800.

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Develop a strategic business plan for a POULTRY CHICKEN FARMING to be submitted to a lending institution so that you can borrow funds to start your small business. You are required to write an Executive Summary of a POULTRY CHICKEN FARMING in Australia.

Answers

The strategic business plan for poultry chicken farming is a comprehensive plan that outlines the steps to be taken to start and grow a small business. The plan includes a market analysis, an organizational and management structure, a marketing plan, financial projections, and an operational plan. The business will focus on the local market, leverage digital marketing channels, and use a combination of loans, equity, and grants to fund its operations.

The poultry chicken farming business will be an integrated poultry farming business. It will combine the breeding of layers and broilers to produce and supply eggs and meat to customers. The business will be set up in an area that has a ready market for its products, and also close to suppliers of chicken feeds and other inputs.

The strategic business plan for poultry chicken farming includes a comprehensive market analysis, an organizational and management structure, a marketing plan, financial projections, and an operational plan.

The business will focus on targeting the local market for its products. The target market will include restaurants, supermarkets, food stores, and other customers. The business will also leverage social media and other digital platforms to reach customers.Organizational and Management Structure.

The poultry chicken farming business will be run by a management team that has expertise in poultry farming and business management. The management team will include the owner, an accountant, a marketing manager, a production manager, and other personnel.

The marketing plan will focus on building the brand, increasing market share, and attracting new customers. The plan will leverage digital marketing channels such as social media, email, and SEO. It will also include promotional activities such as in-store displays, events, and sponsorships.

The financial projections will include estimates of revenue, expenses, and profits. The business will be funded through a combination of loans, equity, and grants. The financial projections will also include a break-even analysis and cash flow projections.

The operational plan will outline the day-to-day activities of the business, including production, distribution, and customer service. It will also include policies and procedures for managing staff, supplies, and other inputs. The plan will focus on efficiency, quality, and safety.

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mr. lopez deposits $k in an account paying 4 nnual effective dis- count. the balance at the end of three years is $982. find k.

Answers

The amount deposited by Mr. Lopez is $873.

Given that, Mr. Lopez deposits $k in an account paying 4% annual effective discount. The balance at the end of three years is $982. We have to find k.

Solution: Since we are given effective discount rate, we can apply the formula of present value for single payment.

PV = FV / (1 + r)n

Here, PV is present value, FV is future value r is discount rate n is number of years

Putting the given values, we get, k = 982 / (1 + 0.04)3  

[Using the formula for present value]k = 982 / 1.125k = 872.88 ≈ $873

Therefore, the amount deposited by Mr. Lopez is $873.

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How might the growth in online marketing affect the structure of retail supply chains? Provide and discuss one example of companies who have succeeded and one example of those who have faltered by this growth.

Answers

The growth in online marketing has reshaped the structure of retail supply chains, with a shift towards e-commerce and direct-to-consumer sales.

The growth in online marketing has had a significant impact on the structure of retail supply chains. One key aspect that has been affected is the distribution network and logistics operations. Traditional retail supply chains were primarily designed to support brick-and-mortar stores, with a focus on delivering products to physical locations.

However, the rise of online marketing has led to a shift towards e-commerce and direct-to-consumer sales, requiring retailers to adapt their supply chains to meet the demands of online customers.

One example of a company that has succeeded in adapting to the growth in online marketing is Amazon. Amazon revolutionized the retail industry by developing a highly efficient and streamlined supply chain infrastructure. They invested heavily in building fulfillment centers strategically located near major urban areas to enable faster delivery.

Their sophisticated inventory management system and use of advanced technologies like robotics and automation have allowed them to handle high order volumes and provide a seamless online shopping experience for customers.

On the other hand, a company that has faltered in the face of online marketing growth is Sears. Sears was once a dominant player in the retail industry but failed to adapt to the changing landscape.

They struggled to keep up with the rapid rise of e-commerce and underestimated the impact it would have on their traditional retail business model.

Sears had an extensive network of physical stores, but their supply chain and logistics operations were not equipped to efficiently handle online orders and fulfill customer expectations for fast and convenient delivery. As a result, they faced declining sales and ultimately filed for bankruptcy.

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A foreign exchange trader with a U.S. bank took a short position of £6,606,544 when the $/£ exchange rate was 1.47. Subsequently, the exchange rate has changed to 1.67. Compute the profit or loss of the short position.

Answers

The profit of the short position is $1,322,363.8.

We need to calculate the profit or loss of a short position in foreign exchange. A short position is taken when the trader expects the value of the currency to decrease. Given data: Short position = £6,606,544Exchange rate at the time of taking the short position = 1.47Exchange rate at the time of selling the currency = 1.67We will use these values to calculate the profit or loss of the short position. Here is the solution: Value of short position in USD = £6,606,544 x 1.47 = $9,713,154.68Value of short position in USD after exchange rate change = £6,606,544 x 1.67 = $11,035,518.48Profit/Loss = Selling Price - Buying Price= $11,035,518.48 - $9,713,154.68= $1,322,363.8Therefore, the profit of the short position is $1,322,363.8.

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Which of the following is essential to the application of good strategic assessment law and policy?

Select one:
a. Project-level evaluation of alternatives
b. Reactionary responses to broad-scale issues
c. Transparent processes that involve public engagement
d. Consistent application of methods and procedures

Answers

Transparent processes that involve public engagement is essential to the application of good strategic assessment law and policy.(C) A strategic assessment law and policy aims to understand how a law or policy will affect environmental, social, and economic aspects of the environment.

It involves the integration of ecological, social, and economic considerations into the policy formulation process in an attempt to minimize the negative impact of a policy on the environment and society. Transparent processes are important in ensuring that policy decisions are made in the public interest and that the public has input into the decision-making process. The public engagement process should be open, transparent, and inclusive to allow for diverse perspectives to be heard. It also provides a platform for stakeholders to ask questions, provide comments, and offer suggestions that may inform the policy decision. This helps to ensure that policy decisions are based on the best available science, knowledge, and understanding of the environmental, social, and economic impacts of the policy.

In conclusion, transparent processes that involve public engagement are essential to the application of good strategic assessment law and policy.

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approximate cos0.02 to five decimal-place accuracy using the maclaurin series for cosx and check your work by comparing your answer to the function value produced directly by your calculating utility.

Answers

Approximating cos(0.02) using the Maclaurin series for cos(x) and rounding to five decimal places, we get an approximate value of 0.99980. Comparing this with the actual function value produced by a calculating utility, we can verify the accuracy of our approximation.

The Maclaurin series expansion for cos(x) is given by:

cos(x) = 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + ...

To approximate cos(0.02), we substitute x = 0.02 into the series expansion. Truncating the series after the desired accuracy, we calculate the value of the approximation.

Using the first few terms of the series expansion:

cos(0.02) ≈ 1 - (0.02^2/2!) ≈ 1 - (0.0002/2) ≈ 1 - 0.0001 ≈ 0.9999

Rounding this value to five decimal places, we get approximately 0.99980.

To verify our approximation, we can compare it to the function value produced directly by a calculating utility. By evaluating cos(0.02) using a reliable calculator or computer software, we can compare the actual value to our approximation and check for accuracy.

Note: The actual function value produced by a calculating utility may vary slightly depending on the software or calculator used, but it should be very close to our approximation of 0.99980.

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A company manufactures and sells racing bicycles to specialty retailers. The Bomber model sells for $610 and has per-unit variable costs of $305 associated with its production. The company has fixed e

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A company manufactures and sells racing bicycles to specialty retailers. The Bomber model is one of its most popular products, with a selling price of $610 and a per-unit variable cost of $305. The company also incurs fixed expenses of $120,000 per month for rent, salaries, utilities and other overhead costs. To break even, the company needs to sell enough units of the Bomber model to cover both its variable and fixed costs. The break-even point can be calculated by dividing the fixed costs by the contribution margin per unit, which is the difference between the selling price and the variable cost. The contribution margin per unit for the Bomber model is $610 - $305 = $305. Therefore, the break-even point in units is $120,000 / $305 = 393.44. This means that the company needs to sell at least 394 units of the Bomber model per month to avoid losses.

About The Break Event Point

Break Even Point is called the break even point is the stage where revenue equals operating costs. In this situation, the company neither gains nor suffers a loss.

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true or false
3. On FOB term basis, seller prepares the goods at the stipulated time, meanwhile, seller also contracts for insurance cover against the risk of loss of or damage to the goods during the carriage. ( )

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The given statement is False.What is FOB?FOB refers to free on board. It means a contractual agreement between a buyer and a seller that defines at what point of transportation the risks and responsibilities for the shipped products transfer from the seller to the buyer. In simple terms, FOB is a shipment term that means the seller is responsible for the goods until they are placed on the shipping vessel.The FOB term does not imply that the seller contracts for insurance coverage against the risk of loss of or damage to the goods during the carriage. The buyer or the seller may acquire insurance cover separately.The seller is responsible for preparing the goods at the agreed-upon time on an FOB term. The seller is also responsible for delivering the goods to the port or vessel that the buyer specifies. Therefore, the statement mentioned above is false because the seller does not contract for insurance cover against the risk of loss of or damage to the goods during the carriage.

Let the Canadian economy be described below. You are an economist in the Department of Finance, Ottawa. C=60+0.9Y (Yg is disposable income) I=300 (Investment spending) G=120 (Government purchases) NT=0.1Y (Net taxes) X= 120 (Exports are constant) IM= 0.31Y (Imports depend positively on our own Y) a) Calculate the equilibrium Y. Y=0 b) Find the autonomous multiplier. Autonomous multiplier Y = 0 c) Find the government budget balance BB, given your Y in (a). BB=0 d) Oil prices have been rising recently. Higher crude oil prices translate to higher costs for gasoline, plastic and many products. Suppose the higher oil prices translate. to our investment spending dropping from 300 to 100 due to a weaker investment confidence. Find the new Y. Y = O e) Find the BB as a result of the drop in investment spending. BB-0 f) is this change in BB due to an increase in government spending, ie, is the Canadian government to be blamed? O Yes O No g) Suppose the government wants to push the economy back to the Y level in (a) but with the investment spending still at 1-100. Find the new G necessary. G=0

Answers

a) To find the equilibrium level of output (Y), we need to set aggregate demand (AD) equal to aggregate supply (AS).

AD = C + I + G + (X - IM)

  = (60 + 0.9Y) + 300 + 120 + (120 - 0.31Y)

AS = Y

Setting AD equal to AS:

60 + 0.9Y + 300 + 120 + 120 - 0.31Y = Y

Simplifying the equation:

600 - 0.41Y = Y

Combining like terms:

1.41Y = 600

Dividing both sides by 1.41:

Y = 425.53

Therefore, the equilibrium level of output (Y) is approximately 425.53.

b) The autonomous multiplier is the change in equilibrium output divided by the change in autonomous spending. In this case, autonomous spending refers to investment (I).

Change in Y = Y - Y0

            = 425.53 - 0

            = 425.53

Change in I = I - I0

            = 100 - 300

            = -200

Autonomous multiplier (k) = Change in Y / Change in I

                         = 425.53 / -200

                         = -2.128

Therefore, the autonomous multiplier is approximately -2.128.

c) The government budget balance (BB) is calculated as the difference between government purchases (G) and net taxes (NT).

BB = G - NT

  = 120 - 0.1Y

Substituting the equilibrium output (Y = 425.53):

BB = 120 - 0.1(425.53)

  = 120 - 42.553

  = 77.447

Therefore, the government budget balance (BB) is approximately 77.447.

d) Given that investment spending drops from 300 to 100, we need to adjust the equation for aggregate demand (AD):

AD = C + I + G + (X - IM)

  = (60 + 0.9Y) + 100 + 120 + (120 - 0.31Y)

Setting AD equal to AS:

60 + 0.9Y + 100 + 120 + 120 - 0.31Y = Y

Simplifying the equation:

400 - 0.41Y = Y

Combining like terms:

1.41Y = 400

Dividing both sides by 1.41:

Y = 283.69

Therefore, the new equilibrium level of output (Y) is approximately 283.69.

e) The government budget balance (BB) is calculated as the difference between government purchases (G) and net taxes (NT).

BB = G - NT

  = 120 - 0.1Y

Substituting the new equilibrium output (Y = 283.69):

BB = 120 - 0.1(283.69)

  = 120 - 28.369

  = 91.631

Therefore, the government budget balance (BB) is approximately 91.631.

f) No, the change in the government budget balance (BB) is not due to an increase in government spending. It is primarily caused by the drop in investment spending.

g) To push the economy back to the equilibrium level of output (Y = 425.53) with investment spending still at 100, we can calculate the new required level of government purchases (G).

AD = C + I + G + (X - IM)

  = (60 + 0.9Y) + 100 + G + (

120 - 0.31Y)

Setting AD equal to AS:

60 + 0.9Y + 100 + G + 120 - 0.31Y = Y

Simplifying the equation:

280 + 0.59Y + G = Y

Rearranging the equation:

0.41Y - G = 280

Since we want the investment spending to remain at 100, we substitute I = 100:

0.41Y - 100 = 280

Solving for Y:

0.41Y = 380Y = 926.83

Therefore, the new required level of government purchases (G) to push the economy back to the equilibrium level of output is approximately 926.83.

About Investment

Investment, is a activity, either directly or indirectly, with the hope that in the future the owner of the capital will receive a number of benefits from the results of the investment.

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Suppose a hospital in a small isolated town has a natural monopoly. With the idea of increasing competition, the city opens a second hospital. a. Both hospitals will have higher average total cost than the first hospital did when it operated alone. b. Both hospitals will have lower average total cost than the first hospital did when it operated alone. Both hospitals will have the same average total cost as the first hospital when it operated alone. d. The new hospital will have higher average total cost than the first hospital did when it operated alone, but the average total cost for the second hospital will be less.

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d. The new hospital will have higher average total cost than the first hospital did when it operated alone, but the average total cost for the second hospital will be less.

When the city opens a second hospital in an isolated town with a natural monopoly, it introduces competition. As a result, both hospitals will experience changes in their average total costs. The new hospital, being a late entrant in the market, may face higher costs initially due to factors such as establishing infrastructure, acquiring resources, and attracting patients. On the other hand, the first hospital, which had operated as a monopoly before, may need to adjust its costs and operations to compete with the new entrant. This adjustment could lead to a reduction in its average total cost.

However, over time, the second hospital may be able to achieve economies of scale and efficiency, resulting in a lower average total cost compared to the first hospital. This is because the presence of competition can drive hospitals to become more cost-effective and improve their operations. Ultimately, the first and second hospitals are likely to have different average total costs, with the second hospital potentially achieving lower costs due to the competitive environment.

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Consider the following particulars about an alternative

Initial cost = $420000
Equivalent annual benefit = $116520
Life (years) = 5

(i) Draw a cash flow diagram for the alternative.
(ii) Find the Internal Rate of Return of the alternative.
(iii) If the MARR(Minimum Attractive Rate of Return) is 14%, should the alternative be accepted? Why?

Answers

This is because it provides a return greater than the minimum required return of 14%.Given the particulars about an alternative, the steps to find the Internal Rate of Return of the alternative are as follows:Step 1: Find the PV of cash inflows and cash outflows.

Calculate the IRR by interpolation.IRR is the rate that equates the PV of cash inflows with the PV of cash outflows. When the IRR is used as a discount rate, the NPV is zero.Using the formula for NPV, we get:NPV = 0 = CF0 + CF1 / (1 + IRR) + CF2 / (1 + IRR)² + CF3 / (1 + IRR)³ + CF4 / (1 + IRR)⁴Putting in the given values, we get:0 = -300000 + 200000 / (1 + IRR) + 160000 / (1 + IRR)² + 100000 / (1 + IRR)³ + 70000 / (1 + IRR)⁴

With the help of trial and error, we get an IRR of 26.37%. (note: You can use Excel or a financial calculator to solve for the IRR).Check if the alternative should be accepted.If the IRR is greater than the MARR, the alternative should be accepted, and if it is less than the MARR, it should be rejected.IRR > MARR

Hence, the alternative should be accepted since the IRR (26.37%) is greater than the MARR (14%).

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Which of the following is often called a compensation
control?
a. Independent Verification
b. Transaction Authorization
c. Supervision
d. Accounting Records

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The correct answer is c. Supervision is often called compensation control.

Compensation control is a common name for supervision. The purpose of compensation controls is to guarantee that employee pay is reasonable, equitable, and consistent with the goals and policies of the organization. Monitoring an employee's performance, activities, and compliance with compensation-related policies and procedures are all part of supervision.

Independent review or reconciliation is a control that entails examining and confirming the completeness and accuracy of financial and non-financial information.

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The International Accounting Standards Board (IASB) works to formulate financial accounting standards for the purpose of O Promoting worldwide acceptance and achieve greater convergence of financial reporting regulations, standards and procedures across countries. O Creating more work in financial statement preparation To provide more information in the financial statements O To help prevent fraud and insider trading

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The International Accounting Standards Board (IASB) formulates financial accounting standards to promote worldwide acceptance, convergence of financial reporting regulations, and enhance transparency in financial statements.

By formulating and establishing International Financial Reporting Standards (IFRS), the IASB seeks to create a common framework that facilitates consistent and high-quality financial reporting. This allows investors, analysts, and stakeholders to make informed decisions based on reliable and comparable financial information from companies operating in different jurisdictions.

Through the development of global accounting standards, the IASB aims to reduce disparities in financial reporting practices, making it easier for multinational companies to prepare and present their financial statements in compliance with consistent rules. This convergence helps to eliminate barriers to international trade and investment by increasing transparency and facilitating cross-border financial analysis.

Furthermore, the IASB's efforts in setting accounting standards contribute to improving the integrity and reliability of financial statements. By establishing robust rules and guidelines, it helps prevent fraud and insider trading by promoting accurate and transparent financial reporting practices. These standards serve as a foundation for maintaining ethical behavior and trust in financial markets worldwide.

In summary, the primary purpose of the IASB is to promote worldwide acceptance and convergence of financial reporting standards, which in turn enhances transparency, comparability, and reliability in financial statements. This supports international trade and investment while helping to prevent fraud and insider trading through consistent and trustworthy financial reporting practices.

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Which is a true statement about understanding vocation or calling?
1. only religious people have a sense of calling
2. vocation refers to our job or career
3. vocation provides a sense of meaning
4. only those in high status jobs have a sense of calling

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The true statement about understanding vocation or calling is that "vocation provides a sense of meaning" (option 3). Vocation goes beyond just referring to our job or career (option 2).

It encompasses the idea that individuals have a unique purpose or mission in life, regardless of their religious affiliation (option 1). Vocation is not limited to individuals in high-status jobs (option 4). Instead, it relates to finding meaning and fulfillment in any occupation or life path, recognizing that one's work or contributions can align with their values, passions, and the greater good.

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Which of the following is true?
A. Incentive compensation imposes no risks on the agents and thus should not affect their compensation.
B. Incentive compensation imposes risk on the agent but need not be compensated for.
C. Incentive compensation imposes risk on the agent for which they should be compensated.
D. Incentive compensation is a bad idea.

Answers

The true statement among the options provided is C. Incentive compensation imposes risk on the agent for which they should be compensated.

Incentive compensation is a form of payment that is tied to an individual's performance or achievement of specific goals or targets. It is designed to motivate and incentivize agents to act in the best interests of the principal or employer.

However, incentive compensation introduces risk for the agent. By linking their compensation to performance, agents are exposed to the possibility of not achieving the desired outcomes or targets, which can result in reduced or variable compensation.

To compensate for the risk associated with incentive compensation, it is generally considered fair and appropriate to provide additional compensation or rewards to agents when they achieve or exceed their targets.

Option A is incorrect because incentive compensation does impose risks on agents, as their compensation is dependent on achieving certain performance targets.

Option B is incorrect because if incentive compensation imposes risk on the agent, it is reasonable and fair to provide compensation for that risk. Option D is incorrect as it makes a blanket statement.

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With the following data, compute the NET FUTA Tax. Gross FUTA Tax DUE $ 6,750 Credit against FUTA (assume applicable) $3,100. a) $7,000. b) $3,100. c) $6,750. d) $3,650.

Answers

The correct answer is option d) $3,650 in the given case of tax data

To compute the net FUTA (Federal Unemployment Tax Act) tax, we subtract the credit against FUTA from the gross FUTA tax due.

Given:

Gross FUTA Tax Due: $6,750

Credit against FUTA: $3,100

Net FUTA Tax = Gross FUTA Tax Due - Credit against FUTA

Net FUTA Tax = $6,750 - $3,100 = $3,650

Therefore, the correct answer is option d) $3,650.

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chrysalis financial is offering a 3-year certificate of deposit with semi-annual compounding at 2.30%. you invest $5,175 in the certificate today. on the maturity date, the investment will be worth:

Answers

On the maturity date, the investment will be worth approximately [tex]\$5,654.96[/tex].

To calculate the future value of the investment at maturity, we can use the formula for compound interest with semi-annual compounding:

[tex]\[A = P \left(1 + \frac{r}{n}\right)^{nt}\][/tex]

Where:

[tex]A[/tex] is the future value (maturity value) of the investment,

[tex]P[/tex] is the initial principal (investment amount),

[tex]r[/tex] is the interest rate (2.30%),

[tex]n[/tex] is the number of compounding periods per year (2 for semi-annual compounding),

and [tex]t[/tex] is the number of years (3).

Substituting the given values into the formula:

[tex]\[A = \$5175 \left(1 + \frac{0.0230}{2}\right)^{(2 \times 3)}\][/tex]

Simplifying the formula:

[tex]\[A = \$5175 \times (1.0115)^6\][/tex]

Calculating the future value:

[tex]\[A \approx \$5,654.96\][/tex]

With an initial investment of [tex]\$5,175[/tex] in a 3-year certificate of deposit at a 2.30% interest rate compounded semi-annually, the investment will be worth approximately [tex]\$5,654.96[/tex] at maturity.

Therefore, on the maturity date, the investment will be worth approximately [tex]\$5,654.96[/tex].

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