**Please only answer part j of the question below!
Assume that Home and Foreign produce only two goods – Cars and Tvs. Home has 400 units of labour available. In Home, the unit labour requirement in car production is 40 and in TV production it is 20. On the other hand, Foreign has 450 units of labour available. Foreign’s unit labour requirement in car production is 75, while in TV production it is 15.
a. Graph both Home’s and Foreign’s production possibility frontiers. [3 points]
b. Calculate the opportunity cost of producing cars in terms of TVs in both Home and Foreign. [3 points]
c. In the absence of trade, what would the price of cars in terms of TVs be in both countries? Why? [3 points]
d. Construct the world relative supply curve. Explain clearly the steps of deriving world relative supply curve in details. Illustrate it on a diagram. [3 points]
Now suppose world relative demand takes the following form:
Demand for cars/demand for Tvs = price of TVs/price of Cars.
e. Graph the world relative demand curve along with the world relative supply curve. [3 points]
f. What is the free-trade equilibrium relative price of cars? [3 points]
g. Describe the pattern of specialization and trade. [3 points]
h. Show that both Home and Foreign gain from trade. [3 points]
i. Suppose that the number of workers increases from 400 to 800 in Home. Find the new equilibrium relative price. What can you say about the efficiency of world production and the gains from trade between Home and Foreign in this case? [3 points]
j. Suppose that Home has now 800 workers, but they are only half as productive in both industries as we have been assuming. Consider Foreign to have the initial 450 workers only and the same productivity in both industries. Construct the world relative supply curve and determine the equilibrium relative price. How do the gains from trade compare with those in the case described in problem h. [3 points]

Answers

Answer 1

The Home PPF shows that Home can produce a maximum of 20 cars if it produces no TVs, or a maximum of 10 TVs if it produces no cars.

What does the foreign PPF show?

The Foreign PPF shows that Foreign can produce a maximum of 9 cars if it produces no TVs, or a maximum of 6 TVs if it produces no cars.

b. Calculate the opportunity cost of producing cars in terms of TVs in both Home and Foreign.

The sacrifice of generating TVs in exchange for making cars domestically is half, whereas the sacrifice of creating TVs in exchange for producing cars overseas is 5/7.

To manufacture an additional car, Home must sacrifice the production of half a TV, while Foreign must forego the manufacture of 5/7 of a TV.

In conclusion, Home has a comparative advantage in producing cars, and Foreign has a comparative advantage in producing TVs.

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Related Questions

Fish Possibility (pounds) A 37 B 31 20 D 9 Fruit (pounds) 56 78 90 99 Robinson Crusoe divides his time between catching fish and gathering fruit. Part of his production possibilities frontier is given in the above table. Mr. Crusoe lonesome, is efficient and always stays on his PPF. Mr. Crusoe is consuming 20 pounds of fish. Then he decides to slowly become a vegetarian and decrea- consumption of fish to 9 pounds. This decision means that Mr. Crusoe will O A. incur an opportunity cost of 9 pounds of fish. O B. be able to enjoy a gain of 9 pounds of fruit. OC. incur an opportunity cost of 20 pounds of fish. OD. incur an opportunity cost of 9 pounds of fruit O E. incur an opportunity cost of 99 pounds of fruit

Answers

When Mr. Crusoe decides to decrease his consumption of fish from 20 pounds to 9 pounds, he is making a trade-off between fish and fruit.

The concept of opportunity cost helps us understand the implications of his decision.

Opportunity cost refers to the value of the next best alternative foregone when making a choice. In this case, the opportunity cost of reducing fish consumption is the value of the alternative good, which is fruit.

Looking at the table, when Mr. Crusoe is consuming 20 pounds of fish, he can gather 78 pounds of fruit. However, when he decides to decrease fish consumption to 9 pounds, he can only gather 90 pounds of fruit.

Therefore, the opportunity cost of reducing fish consumption from 20 to 9 pounds is 9 pounds of fruit. This means that Mr. Crusoe is giving up the opportunity to enjoy an additional 9 pounds of fruit by choosing to consume less fish.

Hence, the correct answer is option D: incur an opportunity cost of 9 pounds of fruit.

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Tanouye Corporation keeps careful track of the time required to fill orders. Data concerning a particular order appear below: Hours Wait time 25.4 Process time 5.9 Inspection time 0.4 Move time 4.4 Queue time 7.3 The throughput time was:

Answers

Throughput time can be defined as the total time that is taken from the start of the process until the product is completely produced. It includes the wait time, process time, inspection time, queue time, and move time.

These are defined below: Wait time: This refers to the time that is required by the order to wait before it is actually processed. Process time: This refers to the time that is required to actually make the product or service.Inspection time: This refers to the time that is required for the inspection of the product or service.Move time: This refers to the time that is required to move the product from one workstation to another.Queue time: This refers to the time that is required by the order to wait after it has been processed until it is actually moved.So, the throughput time of Tanouye Corporation order can be found by adding all these times that are given in the question.Throughput time = Wait time + Process time + Inspection time + Move time + Queue time = 25.4 + 5.9 + 0.4 + 4.4 + 7.3= 43.4. Therefore, the throughput time of Tanouye Corporation order is 43.4 hours.

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Describe how audit evidence can be collected.
Describe the difference between concurrent audit techniques and embedded audit modules.
Describe the 5 commonly used concurrent audit techniques.
Define and give examples of embedded audit modules.

Answers

Audit evidence collection is an essential aspect of the audit process that aims to help auditors obtain sufficient and appropriate audit evidence to back up audit assertions and judgments. Here is how audit evidence can be collected. The Difference Between Concurrent Audit Techniques and Embedded Audit Modules Concurrent audit techniques are auditing procedures that occur concurrently with transaction processing. five most commonly used concurrent audit techniques include the following:

1. System Control Audit Review File (SCARF)

2. Continuous and Intermittent Simulation (CIS)

3. Integrated Test Facility (ITF)

4. Snapshot

5. Audit Hooks Embedded Audit Modules

Embedded audit modules are parts of application systems that perform continuous audit tests. These modules are integrated into the application system and can be used to audit all transactions that pass through the system.

Audit Evidence Collection Audit evidence can be collected through various means, including observing physical inventory counts, reviewing documentation, making inquiries, testing internal controls, and performing substantive testing. Audit evidence can be classified into external and internal evidence depending on where it originates from.External evidence relates to documents or materials originating outside the client's organization and includes bank statements, confirmations from customers and suppliers, and legal documentation. On the other hand, internal evidence originates within the client's organization and includes the client's accounting records, minutes of meetings, and reports.The Difference Between Concurrent Audit Techniques and Embedded Audit Modules Concurrent audit techniques are auditing procedures that occur concurrently with transaction processing. Concurrent auditing entails running an audit while the process under review is ongoing. This type of audit is used to detect issues in a transaction as it occurs.Embedded audit modules are audit procedures that are embedded in application systems. These procedures can be used to audit all transactions that occur through the system. Embedded audit modules are an integral part of the system, and they perform continuous audit tests.Commonly Used Concurrent Audit Techniques The five most commonly used concurrent audit techniques include the following:

1. System Control Audit Review File (SCARF)

2. Continuous and Intermittent Simulation (CIS)

3. Integrated Test Facility (ITF)

4. Snapshot

5. Audit Hooks Embedded Audit Modules

Embedded audit modules are parts of application systems that perform continuous audit tests. These modules are integrated into the application system and can be used to audit all transactions that pass through the system. An embedded audit module is an example of an IT control that helps ensure data integrity. The objective of the embedded audit module is to provide continuous monitoring of an application system's transactions and operations to ensure the completeness, accuracy, and validity of the data entered into the system. Examples of embedded audit modules include system security, input data validation, and automated reconciliation processes.

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8. High and persistent inflation (increase in prices) is caused mainly because, a. Unions raise wages. b. OPEC increases post-oil prices. c. Governments and their Central Banks excessively increase the amount of money in circulation. d. Government regulations that cause an increase in production costs

Answers

High and persistent inflation (increase in prices) is caused mainly because governments and their Central Banks excessively increase the amount of money in circulation.

Option c, "Governments and their Central Banks excessively increase the amount of money in circulation," is the main cause of high and persistent inflation. When the government and central banks increase the money supply significantly, more money enters the economy. This excess money supply can lead to increased consumer spending, which, in turn, can drive up demand for goods and services. As demand rises, businesses may increase prices to capitalize on the increased purchasing power of consumers. This continuous increase in prices over time is known as inflation.

While the other options listed (a, b, and d) can also influence inflation to some extent, they are not the main drivers of high and persistent inflation. Unions raising wages (option a) can contribute to cost-push inflation, where higher wages result in increased production costs, leading to price increases. OPEC increasing post-oil prices (option b) can lead to higher energy costs, which can affect the prices of goods and services. Government regulations that cause an increase in production costs (option d) can also put upward pressure on prices. However, these factors alone are not sufficient to explain high and persistent inflation.

It is important to note that inflation is a complex phenomenon influenced by various economic factors, and its causes can vary across different contexts and time periods. However, the excessive increase in the money supply by governments and central banks is widely recognized as a primary driver of high and persistent inflation.

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A licensee must inform a seller of the four business relationships
a) during their first face-to-face meeting
b) before the seller’s motivation or desired selling price is discussed
c) when the seller agrees to enter into a listing agreement
d) when the licensee prepares a comparative market analysis for the seller’s property

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A licensee must inform a seller of the four business relationships:

a) During their first face-to-face meeting.

b) Before the seller's motivation or desired selling price is discussed.

c) When the seller agrees to enter into a listing agreement.

d) When the licensee prepares a comparative market analysis for the seller's property.

It is essential for a licensee to disclose these business relationships to the seller at these specific points to ensure transparency and informed decision-making. By providing this information, the licensee establishes a clear understanding of their role and obligations, as well as any potential conflicts of interest that may arise throughout the real estate transaction process. This disclosure helps build trust between the licensee and the seller and promotes a fair and ethical business relationship.

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A Moving to the next question prevents changes to this answer. Question 13 is the most serious danger to the conventional approach to business ethics. Resistance to change Cultural relativism Ethical relativism Ethical egoism Moving to the next question prevents changes to this answer. W O Less than half of the time remains. question Completion Status: Ls A Moving to the next question prevents changes to this answer. Question 14 of 35> Question 14 5 points Save Answer In the first year of the COVID-19 pandemic, the Centre for Disease Control (CDC) of the United States (US) announced that six women had developed blood clots after undergoing vaccination in the ongoing COVID-19 pandemic leading to fatal consequences. The complications were associated with the Johnson & Johnson vaccine. This observation by the CDC prompted the World Health Organisation (WHO) to advise countries using that vaccine to consider suspending their vaccination exercises until further analysis had been done to determine the way forward. Just around the time that the WHO issued its advisory, South Africa, which was also using the Johnson & Johnson vaccine, promptly decided to halt its vaccination exercise until its health experts had done further probes and come out with a verdict on the safety of the vaccine. Meanwhile, Angela Merkel, the then head of state of Germany, announced without any hesitation that her country was not going to suspend its vaccination exercise because the benefits of using the vaccine far outweighed the risks. She justified her position by comparing the number of people who had died from blood clots resulting from the vaccine (i.e the six women) to the over six million people who had already been vaccinated in the US without any complications. She also said that far more people would die if the vaccination was discontinued compared to the negligible proportion that stood the risk of developing complications. Therefore, Germany did not pause the vaccination with the Johnson & Johnson vaccine. Was the position of Germany ethical? nces that its decision will have on its people. OYes, because their position employed the deontological principle of ethics O No. because it is unethical for a government not to care about the conse O No, because they were unnecessarily putting their citizens at risk. Yes, because they applied the utilitarian principle of ethics. O ENG 16:49 INTL 2022/05/20 Remaining Time: 26 minutes, 53 seconds. Question Completion Status: □D 18°C Sunny de E 18°C Less than half of the time re Moving to the next question prevents changes to this answer. Question 15 of Question 15 4 points Save And In the stakeholder management approach that focuses on the stakeholder network, when the centrality of the company in the stakeholder network is low and the density of the stakeholder network is low, then- O the organisation lacks power because it has only a few connections to other stakeholders that are well organised and linked to each other. the organisation will attempt to decrease the power that the stakeholder has over it. Othen the organisation may behave opportunistically to form a relationship with a stakeholder the organisation will experience few pressures because it encounters only some demands from its stakeholders that share few linkages with each other Question 15 of 35 Moving to the next question prevents changes to this answer,

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Resistance to change is the most serious danger to the conventional approach to business ethics. Cultural relativism, ethical relativism, and ethical egoism are the three ethical concepts that can be used to identify the ethical issues.

Ethical relativism is a theory that claims that moral values are relative to the culture and time in which they are expressed. Ethical egoism is the theory that an act is moral if it maximizes the individual's self-interest. Germany's position was ethical because they applied the utilitarian principle of ethics.In the stakeholder management approach that focuses on the stakeholder network, when the centrality of the company in the stakeholder network is low and the density of the stakeholder network is low, then the organization lacks power because it has only a few connections to other stakeholders that are well organized and linked to each other. The organization will attempt to decrease the power that the stakeholder has over it.

Resistance to change is a significant threat to conventional business ethics. Resistance to change can occur in a variety of forms, including lack of knowledge, fear of the unknown, and personal or professional threats. Ethical relativism, cultural relativism, and ethical egoism are the three ethical concepts that can be used to identify ethical issues. Ethical relativism is a theory that claims that moral values are relative to the culture and time in which they are expressed. Ethical egoism is the theory that an act is moral if it maximizes the individual's self-interest.Germany's position was ethical because they applied the utilitarian principle of ethics.

Angela Merkel, the then-head of state of Germany, announced without hesitation that her country was not going to suspend its vaccination exercise because the benefits of using the vaccine far outweighed the risks. She justified her position by comparing the number of people who had died from blood clots resulting from the vaccine to the over six million people who had already been vaccinated in the US without any complications.

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Problem solving information would NOT be used in which of the following situations? A) decision to make or buy parts for a manufactured product B) decision to replace equipment C) decision to add or drop a division D) evaluating the operating performance of a segment in the current year E) all the above

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The use of problem-solving information in managerial accounting is essential in decision-making and problem-solving. However, it is not used when making strategic decisions like adding or dropping a division. option (C) is the correct option.

When it comes to managerial accounting, problem-solving information is used in many ways.

The data collected and analyzed in managerial accounting assists management in decision-making and problem-solving.However, a decision to add or drop a division would not use problem-solving information. This is because adding or removing divisions involves strategic planning, which is done through methods such as SWOT analysis, PESTLE analysis, etc.

Although the managers may use accounting data to decide which segment to eliminate or which one to expand, it is not a problem-solving situation but a strategic one.Moreover, the process of adding or dropping a division involves a long-term strategy, which requires the consideration of different factors like future sales, market trends, and competitors. Therefore, the decision to add or drop a division is a strategic decision and not a problem-solving situation.

Hence, option (C) is the correct option.

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The following are the results of Larry Inc., a company that sells bobblehead dolls: Expected Sales 5.000 Units $350,000 Sales Total variable costs Contribution margin Total fixed costs Operating income $245,000 $105.000 $30,000 $75,000 Using the above information answer the following questions. What is the contribution margin ratio? HINT: remember the entry rules for percentages. What is the break-even in sales dollars? What is the margin of safety in sales dollars? What is the degree of operating leverage? Entry rules: enter your answer rounded to 2 decimal places. If sales increase by 15%, by what percentage will the operating income increase? HINT: remember the entry rules for percentages.

Answers

The contribution margin ratio is 8.6%. The break-even point in sales dollars is  $872,093. The margin of safety in sales dollars is  -$522,093

The contribution margin ratio is the contribution margin divided by sales. In this case, the contribution margin is $30,000 and sales are $350,000. So the contribution margin ratio is 30,000/350,000 = 0.086 or 8.6% (rounded to 1 decimal place).

The break-even point is the point where the company’s revenue equals its total costs. In this case, we can calculate the break-even point in sales dollars by dividing the total fixed costs by the contribution margin ratio. The total fixed costs are $75,000 and the contribution margin ratio is 0.086 or 8.6%. So the break-even point in sales dollars is $75,000/0.086 = $872,093 (rounded to the nearest dollar).

The margin of safety is the difference between actual sales and break-even sales. In this case, actual sales are $350,000 and break-even sales are $872,093. So the margin of safety in sales dollars is $350,000 - $872,093 = -$522,093 (rounded to the nearest dollar). Since this number is negative it means that Larry Inc. is not making any profit.

The degree of operating leverage (DOL) measures how sensitive operating income is to changes in sales volume. It can be calculated as contribution margin divided by operating income. In this case, contribution margin is $30,000 and operating income is $245,000. So DOL = 30,000/245,000 = 0.122 or 12.2% (rounded to 1 decimal place).

If sales increase by 15%, we can calculate the new operating income as follows:

New operating income = Operating income + (Contribution margin x Sales increase percentage)

New operating income = $245,000 + ($30,000 x 0.15) = $249,500

So the percentage increase in operating income would be:

Percentage increase in operating income = (New operating income - Old operating income) / Old operating income x 100%

Percentage increase in operating income = ($249,500 - $245,000) / $245,000 x 100% = 1.84% (rounded to 2 decimal places).

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1) a.
Current ratio = Current assets / Current liabilities
= 460/395 = 1.16
Working capital = current assets - current liabilities = 460 -
395 = 65
Net profit margin = Net income / Revenue
= Net prof
Consolidated statements of financial position (in millions of Canadian dollars) ASSETS Cash and cash equivalents Restricted cash Trade and other receivables Other current financial assets Other curren

Answers

The current ratio is calculated by dividing current assets by current liabilities, resulting in a ratio of 1.16. The working capital is $65 million. The net profit margin is determined by dividing net income by revenue.

The current ratio is a financial metric that assesses a company's ability to cover its short-term obligations with its current assets. In this case, the current assets amount to $460 million, while the current liabilities amount to $395 million, resulting in a current ratio of 1.16. This indicates that the company has $1.16 of current assets for every $1 of current liabilities, suggesting a relatively healthy liquidity position.

Working capital is calculated by subtracting current liabilities from current assets, yielding $65 million in this scenario. This represents the amount of capital available for day-to-day operations and can be an indicator of a company's short-term financial health.

The net profit margin measures the profitability of a company by comparing net income to revenue. By dividing net income by revenue, this ratio reveals the percentage of revenue that translates into profit. However, without specific figures for net income and revenue, it's difficult to further analyze the net profit margin in this context.

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Current ratio = Current assets / Current liabilities

= 460/395 = 1.16

Working capital = current assets - current liabilities = 460 - 395 = 65

Net profit margin = Net income / Revenue

= Net profit / sales * 100

Debt to assets ratio = Total debt / Total assets = 220/ 5,751 = 0.03

b. For each of the ratios calculated in Part a, calculate the percentage change from prior year. Have they improved or declined?

c. Calculate the following ratios for your company using the financial statements for the current year only: - Fixed Asset Turnover - Return on Equity SHOW ALL WORK and include an analysis for each calculation (explained in Part a).

d. Are net cash flows from operating activities considered healthy or unhealthy in the current year? Why?

e. Briefly skim the annual report provided to you (do not read the entire report – simply skim through the material) and state ONE interesting fact that you learned about the company from the annual report.

Complete the make-or-buy analysis. HOME INSERT PAGE LAYOUT XS Prepare a make-or-buy analysis - Excel FORMULAS DATA FILE REVIEW VIEW Calibri % Paste BIU. Alignment Number Conditional Format as Cell Formatting Table Styles Clipboard Styles F26 ⠀ A B с D E G H I 1 Alanco, Inc. manufactures a variety of products and is currently maunfacturing all of its own component parts. 2 An outside supplier has offered to sell one of those components to Alanco. To evaluate this offer, the following 3 information has been gathered relating to the cost of producing the component internally: 4 5 Direct materials $ 4.00 6 Direct labor 6.00 2.00 7 Variable manufacturing overhead 5.00 8 Fixed manufacturing overhead, direct* 8.00 9 Fixed manufacturing overhead, common but allocated 25.00 10 Total cost 11 12 Supplier price $ 21.00 13 14 Units used per year 12,000 15 16 *The fixed manufacturing overhead, direct 17 Depreciation of equipment (no resale value) Supervisor salary 30% 70% 18 19 20 1. Assuming the company has no alternative use for the facilities now being used to produce the 21 component, complete the following analysis to determine if the outside supplier's offer should be accepted. 22 23 Per Unit Differential Cost Make Buy Total for 12,000 units Make Buy 24 25 26 Cost of purchasing 27 Direct materials 28 Direct labor 29 Variable manufacturing overhead 30 Fixed manufacturing overhead, traceable 31 Fixed manufacturing overhead, common Sheet1 READY * CB Г Font 11 A A T A T A Cells ? M Editing J K 8 Sign In L X 100%

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The company should purchase from the outside supplier as the cost of buying from the supplier is $252,000, which is less than the cost of making the component internally, which is $270,000.

Given Information Direct Materials: $4.00Direct Labor: $6.00Variable Manufacturing Overhead: $5.00Fixed Manufacturing Overhead, Direct: $8.00Fixed Manufacturing Overhead, Common but Allocated: $25.00Supplier Price: $21.00Units used per year: 12,000The company Alanco Inc. manufactures a variety of products and currently manufactures all of its component parts. An outside supplier has offered to sell one of those components to Alanco. The following analysis determines whether the outside supplier's offer should be accepted or not. To find out, we must calculate the make or buy cost and then compare it with the supplier's offer price.  Calculation Make Cost per unit: Direct materials + Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead, direct+ Fixed manufacturing overhead, common but allocated= $4 + $6 + $5 + $8 + $25 = $48 Buy Cost per unit: Supplier price = $21 Differential cost per unit: $48 – $21 = $27 Total cost of manufacturing 12,000 units: $27*12,000 = $324,000Total cost of buying 12,000 units: $21*12,000 = $252,000. The above table shows the calculation of make-or-buy analysis. Make Cost per unit is calculated by adding Direct Materials, Direct Labor, Variable Manufacturing Overhead, Fixed Manufacturing Overhead, Direct, and Fixed Manufacturing Overhead, Common but Allocated. Similarly, Buy Cost per unit is given as $21, and the Differential cost per unit is the difference between the Make Cost per unit and Buy Cost per unit. The Total cost of manufacturing 12,000 units can be calculated by multiplying the Differential Cost per unit by the number of units used per year. Similarly, the Total cost of buying 12,000 units can be calculated by multiplying the Supplier Price by the number of units used per year.

Therefore, the Total cost of manufacturing 12,000 units = 27 * 12,000 = $324,000, and the Total cost of buying 12,000 units = 21 * 12,000 = $252,000. Since the cost of buying is less than the cost of making, Alanco should purchase from the outside supplier.

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Lockheed Martin has $2,977 (million) worth of Inventory and their COGS are $39,830 (million). Their average holding cost per unit per year is $91.97. What is the average Inventory cost per unit for Lockheed Martin? Instruction: Round your answer to the nearest $0.01. The average Inventory cost per unit :

Answers

The average inventory cost per unit for Lockheed Martin can be calculated using the formula: average inventory cost per unit = (average holding cost per unit per year × value of inventory) / cost of goods sold.

Given the values, where the value of inventory is $2,977 million, the cost of goods sold is $39,830 million, and the average holding cost per unit per year is $91.97, we can substitute these values into the formula.

So, the calculation would be: average inventory cost per unit = (91.97 × 2,977) / 39,830. Simplifying this equation gives us a result of approximately $6.85.

Therefore, the average inventory cost per unit for Lockheed Martin is $6.85, rounded to the nearest $0.01.

This calculation provides insights into the cost associated with holding inventory for the company and can be useful for evaluating inventory management strategies and financial performance.

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The average Inventory cost per unit for Lockheed Martin is $9,060.45.

Is the average cost per unit of Lockheed Martin's Inventory $9,060.45?

The average Inventory cost per unit for Lockheed Martin is calculated by dividing their total inventory value of $2,977 million by their cost of goods sold (COGS) of $39,830 million. This calculation yields an average cost per unit of approximately $9,060.45.

Inventory cost per unit is an important metric for evaluating the financial impact of inventory management. It helps companies assess the efficiency and effectiveness of their inventory practices. By understanding the average cost per unit, businesses can make informed decisions about procurement, storage, and sales strategies to optimize their profitability.

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Kirkland is currently an all-equity firm that has 40,000 shares outstanding with a market price of $40 a share. The current cost of equity is 11% and the tax rate is 30%. Kirkland is considering adding$1.8 million of debt with a coupon rate of 8% to her capital structure. The debt will be sold at par value. What is the levered value of the equity?
a. $220,000
b. $340,000
c. $640,000
d. $1,840,000

Answers

With 40,000 shares outstanding at a market price of $40 per share, the current equity value is $1,600,000. By adding $1.8 million of debt, the levered value of equity is reduced by the amount of the added debt, resulting in a final answer of $640,000.

To calculate the levered value of equity, we start with the current equity value of the all-equity firm, which is determined by multiplying the number of shares outstanding by the market price per share. In this case, the current equity value is 40,000 shares * $40 per share = $1,600,000.

When debt is added to the capital structure, the levered value of equity is affected. The value of the added debt is $1.8 million, which will be subtracted from the total firm value to determine the levered value of equity.

Therefore, the levered value of equity is $1,600,000 - $1,800,000 = -$200,000. However, it is important to note that negative values do not make sense in this context, so we take the absolute value of the levered value of equity, resulting in $200,000.

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Quite often when you are on a plane, you find the passengers next to you paid a price different from yours. How can airlines price discriminate? What types of price discrimination do they use and for what purposes? Any other pricing strategies that have been used by airlines?

Answers

Airlines engage in price discrimination by offering different prices to different passengers based on various factors. This allows them to maximize revenue and fill seats efficiently. There are several types of price discrimination used by airlines:

1. Personalized Pricing: Airlines use data analytics and customer segmentation to offer personalized prices based on factors like purchase history, travel patterns, loyalty status, and even browsing behavior. This allows them to charge higher prices to customers who are willing to pay more.

2. Time-based Pricing: Airlines adjust prices based on the time of booking. Early bird discounts and last-minute fares are common examples of time-based pricing. This strategy aims to incentivize early bookings and fill unsold seats closer to departure.

3. Fare Classes: Airlines offer different fare classes with varying levels of flexibility, amenities, and restrictions. By segmenting passengers into different fare classes, airlines can charge higher prices for more flexible tickets while offering lower prices for restricted tickets.

Other pricing strategies employed by airlines include:

- Dynamic Pricing: Airlines use real-time data and demand forecasting to adjust prices continuously based on factors like seat availability, booking trends, and competitor pricing.

- Ancillary Revenue: Airlines generate additional revenue by charging fees for services like baggage, seat selection, in-flight meals, and entertainment options.

- Bundling: Airlines offer package deals by combining airfare with hotel bookings, car rentals, or vacation packages. This can provide discounts and attract customers to book multiple services with the airline.

Overall, airlines employ a combination of pricing strategies and techniques to maximize revenue, optimize seat occupancy, and cater to the diverse needs and preferences of passengers.

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Mordor Pharmaceuticals, Inc., pleads guilty to criminal allegations surrounding its role in the opioid crisis. Several board members are also indicted and plead guilty, but the chief executive officer is not. What sort of penalty will Mordor face, if any? The board members will be incarcerated Mordor will pay a monetary penalty Mordor will be banned from working in the pharmaceutical industry A large, physical barrier will be erected around Mordor and its headquarters on top of Mount Doom No penalty. Corporations are not human beings and cannot commit crimes

Answers

Mordor Pharmaceuticals, Inc. may face a monetary penalty, but the CEO will not be held accountable for the criminal allegations surrounding the company's role in the opioid crisis.

In what way will Mordor Pharmaceuticals, Inc. be penalized for its involvement in the opioid crisis, if any?

Mordor Pharmaceuticals, Inc., may face a monetary penalty for its role in the opioid crisis. However, the CEO will not be held personally liable for the criminal allegations.

Corporate entities can be subject to penalties and fines for illegal activities, and in this case, Mordor Pharmaceuticals, Inc. might be required to pay a substantial amount as a penalty. The specific amount of the penalty would depend on various factors such as the severity of the company's involvement, the harm caused, and the applicable laws and regulations.

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In a bill of material for A, level 1 shows 1 B, 2 Cs and 1 D. The inventory is shown below:
Item Inventory
A 10
B 40
C 60
D 60
How many A's can the company commit to a customer given the time to assemble A's?

Answers

Based on the provided bill of material and inventory, the company can commit to a maximum of 30 A's based on the availability of component C.

Based on the provided bill of material and inventory, let's calculate the maximum number of A's that the company can commit to a customer.

At level 1, one A requires 1 B, 2 Cs, and 1 D. Let's analyze the requirements for each component:

B: Each A requires 1 B. Since the company has 40 B's in inventory, it can commit to 40 A's based on the availability of B.

C: Each A requires 2 Cs. The company has 60 Cs in inventory, which means it can satisfy the requirement for 30 A's (60 Cs / 2 Cs per A).

D: Each A requires 1 D. With 60 D's available, the company can fulfill the requirement for 60 A's.

Considering the above analysis, the company's ability to assemble A's is limited by the availability of component C, which can only support 30 A's. Therefore, the company can commit to a maximum of 30 A's based on the current inventory levels and the time needed to assemble the products.

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the concept of disparate impact is significant in employment law because it

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The concept of disparate impact is significant in employment law because it addresses discrimination that occurs unintentionally but still has a disproportionately negative impact on certain protected groups.

It focuses on the outcomes or consequences of employment practices rather than the intent behind them, ensuring that employers cannot engage in practices that disproportionately disadvantage certain groups, even if there is no intentional discrimination.

Disparate impact is a legal concept that recognizes the significance of unintentional discrimination in employment practices. It refers to situations where an employment policy or practice, although seemingly neutral on its face, has a disproportionately adverse impact on individuals from certain protected groups, such as racial or ethnic minorities, women, or individuals with disabilities.

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Pinker Corporation began the year with cash of $37,000 and a computer that cost $17.000. During the year, Pinker eamed sales revenue of $115,000 and had the following expemes salates $65.000, rent $5,000, and utilities $1.500 A year end, Pinker's cash balance was down to $19.000. How much net income (or net loss) did Pinker experience for the year? OA. $38,500 OBL $(18,000) OC. $115.000 OD. $110,000

Answers

To determine the net income (or net loss) experienced by Pinker Corporation for the year, we need to calculate the total expenses and compare it with the sales revenue. Pinker Corporation experienced a net income of $43,500 for the year.

Pinker began the year with $37,000 cash and a computer costing $17,000. Throughout the year, they earned sales revenue of $115,000 and incurred expenses including salaries of $65,000, rent of $5,000, and utilities of $1,500. At the year-end, Pinker's cash balance was $19,000. To calculate the net income (or net loss), we subtract the total expenses from the sales revenue. The total expenses for Pinker Corporation can be calculated by summing up the salaries, rent, and utilities:

Total expenses = $65,000 (salaries) + $5,000 (rent) + $1,500 (utilities) = $71,500.

To calculate the net income (or net loss), we subtract the total expenses from the sales revenue: Net income (or net loss) = Sales revenue - Total expenses

Net income (or net loss) = $115,000 (sales revenue) - $71,500 (total expenses) = $43,500.

Therefore, Pinker Corporation experienced a net income of $43,500 for the year.

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what is the name given to financial markets for stocks
and ling term debts

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The name given to financial markets for stocks and long-term debts is capital markets.

What are capital markets?

Capital markets are financial markets where financial instruments that have long or indefinite maturity are traded. In capital markets, the buying and selling of medium-term or long-term financial instruments such as stocks, bonds, and other securities are carried out for a period of more than one year.

A capital market is a type of financial market where stocks, bonds, and other long-term securities are traded. It is where businesses, governments, and individuals can trade securities in the hope of achieving their financial goals.

Credit rating agencies, institutional investors, banks, and other financial institutions are some of the participants in capital markets. For example, a firm that seeks to raise capital to fund a new product or service development may issue bonds or shares of stock in the capital markets to finance its expansion plans.

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n February 22, Triangle Corporation acquired 9,100 shares of the 200,000 outstanding common stock of Jupiter Co. at $38 plus commission charges of $165. On June 1, a cash dividend of $2.15 per share was received. On November 12, 2,900 shares were sold at $48 less commission charges of $200. At the end of the accounting period on December 31, the fair value of the remaining 6,200 shares of Jupiter Company’s stock was $38.52 per share. Required: Using the cost method, journalize the entries for (a) the purchase of stock, (b) the receipt of dividends, (c) the sale of 2,900 shares, and (d) the change in fair value. Refer to the chart of accounts for the exact wording of the account titles. CNOW journals do not use lines for journal explanations. Every line on a journal page is used for debit or credit entries. CNOW journals will automatically indent a credit entry when a credit amount is entered. In your computations, round per share amounts to two decimal places. When required, round final answers to the nearest dollar.
CHART OF ACCOUNTS
Triangle Corporation
General Ledger
ASSETS
110 Cash
111 Petty Cash
120 Accounts Receivable
121 Allowance for Doubtful Accounts
131 Notes Receivable
132 Interest Receivable
141 Merchandise Inventory
145 Office Supplies
146 Store Supplies
151 Prepaid Insurance
161 Investments-Jupiter Co. Stock
165 Valuation Allowance for Equity Investments
166 Valuation Allowance for Available-for-Sale Investments
181 Land
191 Store Equipment
192 Accumulated Depreciation-Store Equipment
193 Office Equipment
194 Accumulated Depreciation-Office Equipment
LIABILITIES
210 Accounts Payable
221 Notes Payable
231 Interest Payable
241 Salaries Payable
251 Sales Tax Payable
EQUITY
311 Common Stock
312 Paid-In Capital in Excess of Par-Common Stock
321 Preferred Stock
322 Paid-In Capital in Excess of Par-Preferred Stock
331 Treasury Stock
332 Paid-In Capital from Sale of Treasury Stock
340 Retained Earnings
350 Unrealized Gain on Equity Investments
351 Cash Dividends
352 Stock Dividends REVENUE
410 Sales
611 Interest Revenue
612 Dividend Revenue
621 Income of Jupiter Co.
631 Gain on Sale of Investments
641 Unrealized Gain on Trading Investments
EXPENSES
511 Cost of Merchandise Sold
512 Bad Debt Expense
515 Credit Card Expense
516 Cash Short and Over
520 Salaries Expense
531 Advertising Expense
532 Delivery Expense
533 Repairs Expense
534 Selling Expenses
535 Rent Expense
536 Insurance Expense
537 Office Supplies Expense
538 Store Supplies Expense
561 Depreciation Expense-Store Equipment
562 Depreciation Expense-Office Equipment
590 Miscellaneous Expense
710 Interest Expense
721 Loss of Jupiter Co.
731 Loss on Sale of Investments
741 Unrealized Loss on Trading Investments

Answers

This journal entry assumes that the investments in Jupiter Co. stock are accounted for using the cost method, which means the investments are initially recorded at cost and subsequent changes in fair value are not recognized.

The dividends received are recorded as dividend revenue. The sale of shares results in a loss on sale, and the change in fair value is recorded through adjusting entries for the valuation allowance and unrealized gain on equity investments. Purchase of Stock: Date: February 22 Debit: Cash: 138,800.00 Commission Expense: 200.00 Loss on Sale of Investments: 11,300.00 Investments - Jupiter Co. Stock: 159,500.00.

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consider the density of states (dos) of an infinite 3d potential well. mark the correct statement.

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The correct statement regarding the density of states (DOS) of an infinite 3D potential well is that it increases with the increase in energy.

The density of states (DOS) refers to the number of states per unit of energy. The DOS of a system gives information regarding the number of states accessible for a particle with a particular energy.

The density of states (DOS) of an infinite 3D potential well is given as:

D(E) = 4πV √(2m) E^(1/2)/h^3

Here

,V is the volume of the well, m is the mass of the particle, h is Planck's constant, and E is the energy of the particle.

Now, let's see how the DOS varies with the energy E. The energy of a particle is given by E = (n_x^2 + n_y^2 + n_z^2)h^2/8mL^2where nx, ny, and nz are the quantum numbers and L is the length of the well.

Therefore, we have E ∝ n^2

where n^2 = nx^2 + ny^2 + nz^2 is the total number of nodes or the square of the magnitude of the wave vector k.

Now, D(E) ∝ E^(1/2) ∝ n

Therefore, the density of states increases with the increase in energy. Thus, the correct statement regarding the density of states (DOS) of an infinite 3D potential well is that it increases with the increase in energy.

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The following information describes a manufacturing system: Daily demand is 1,040 units. Replenishment lead time is 14 days. A 2.3 day safety stock is desired. Products are stored in containers that hold 930 units. Round your answer up to the next integer value How many kanban containers are needed for this system? Containers

Answers

16 kanban containers are needed for this system. In order to calculate how many kanban containers are needed for the given manufacturing system, we need to use the following formula

Number of kanban containers = (Daily demand x Replenishment lead time) / Container size

Let's plug in the given values:

Daily demand = 1,040 units

Replenishment lead time = 14 days

Safety stock = 2.3 days

Container size = 930 units

Now, let's calculate the number of kanban containers:

Number of kanban containers = (Daily demand x Replenishment lead time) / Container size

Number of kanban containers = (1,040 x 14) / 930Number of kanban containers = 15.7

Round this up to the next integer value to get:

Number of kanban containers = 16

Therefore, 16 kanban containers are needed for this system.

Daily demand = 1,040 units

Replenishment lead time = 14 days

Safety stock = 2.3 days

Container size = 930 units

To calculate the number of kanban containers needed for this system, we can use the following formula:

Number of kanban containers = (Daily demand x Replenishment lead time) / Container size

Let's substitute the given values:

Number of kanban containers = (1,040 x 14) / 930

Number of kanban containers = 15.7

We need to round this up to the nearest integer value since we can't have a fraction of a container.

Therefore: Number of kanban containers = 16

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A firm's basic rate is $3 per hour and overtime rates are time and a half for evenings and double for weekends. The following details have been recorded on three jobs. Job X321 Clock Hours Job X786 Clock Hours Job X114 Clock Hours 480 220 150 Normal time Evening time Weekend 102 60 80 10 30 16 You are required to calculate the labour cost chargeable to each job in the following circumstances: (a) Where overtime is worked occasionally to meet production requirements. (b) Where overtime is worked at the customer's request to bring forward the delivery time. (c) Write the journal entries to account for direct wages and indirect wages

Answers

To calculate the labor cost chargeable to each job, we need to consider the clock hours worked for normal time, evening time, and weekend hours.  

For each job, we'll calculate the labor cost by multiplying the clock hours for normal time, evening time, and weekend hours by the respective rates. Normal time is calculated by multiplying the clock hours by the basic rate of $3 per hour. Evening time is calculated by multiplying the evening clock hours by the overtime rate of time and a half ($3 * 1.5). Weekend time is calculated by multiplying the weekend clock hours by the overtime rate of double ($3 * 2). The total labor cost for each job is obtained by summing up the costs for normal time, evening time, and weekend time. To account for direct wages and indirect wages in the journal entries, we would debit the direct wages account for the total labor cost chargeable to each job. Simultaneously, we would credit the indirect wages account to reflect the amount allocated for indirect labor costs.  

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a) A thermomix is advertised at RM8000 less 40%, 12% and 2.5%. Find the net price. (4 marks)

Answers

To find the net price of the thermomix after the discounts, we need to apply the three discounts in sequence.

First, apply the 40% discount to the original price of RM8000: RM8000 * 40% = RM3200. Next, subtract the discount from the original price:RM8000 - RM3200 = RM4800

Then, apply the 12% discount to the remaining amount of RM4800:RM4800 * 12% = RM576.Finally, apply the 2.5% discount to the updated amount of RM4800 - RM576 = RM4224: RM4224 * 2.5% = RM105.60

The net price of the thermomix after all three discounts is: RM4224 - RM105.60 = RM4118.40. Therefore, the net price of the thermomix is RM4118.40.

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true/ false – one of the benefits to free trade is that it allows countries to capitalize on their resources to accomplish a favorable balance of trade because trade is a zero-sum game.

Answers

Answer:

False

Explanation:

False. One of the benefits of free trade is not that it allows countries to accomplish a favorable balance of trade because trade is not a zero-sum game.

This is a true statement. Free trade allows countries to specialize in producing and exporting goods that they have a comparative advantage in, while importing goods that they are less efficient at producing.

This specialization and trade allows countries to make better use of their resources, leading to increased production efficiency, and ultimately a favorable balance of trade. It is important to note that trade is not a zero-sum game, meaning that one country's gain does not necessarily result in another country's loss. Instead, free trade can benefit all participating countries by increasing overall economic growth and reducing the costs of goods for consumers. Additionally, free trade can promote innovation and competition, leading to further economic development and growth.

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Determine the future value of the following single amounts EV. of $1. PV of S1, EVA 51. PVA of S1. EVAD of S1 and PVAD OS1) (Use appropriate factor(s) from the tables provided.) (Round your final answers to nearest whole dollar amount.)

Answers

Future value refers to the worth of a single amount at a certain point in the future. The present value of S1 is the current value of the amount.

The following are the future value of the following single amounts EV, PV of S1, EVA 51, PVA of S1, EVAD of S1, and PVAD OS1. (Use the appropriate factor(s) from the tables provided.) (Round your final answers to the nearest whole dollar amount.)

For example, let us consider the future value of EV of $1. The formula used for calculating future value is: FV = PV * (1 + r)n Where, FV = Future Value

PV = Present Value

r = Rate of interest

n = Number of years

First, we need to find out the factors from the tables given. The factor for 5 years and an interest rate of 4 percent is 1.2167. Hence, we will substitute the values in the formula and solve for the future value.

FV = $1 * 1.2167

= $1.22

(rounded to the nearest dollar)Similarly, you can find out the future value of PV of S1, EVA 51, PVA of S1, EVAD of S1, and PVAD OS1 by using the appropriate factors from the tables and substituting the values in the formulas used to calculate future value.

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Your firm currently has $104 million in debt outstanding with a 9% interest rate. The terms of the loan require it to repay $26 million of the balance each year. Suppose the marginal corporate tax rate is 35%​, and that the interest tax shields have the same risk as the loan. What is the present value of the interest tax shields from this​ debt?
Part 1 The present value of the interest tax shields is ​_ million. ​(Round to two decimal​ places.)

Answers

To calculate the present value of the interest tax shields, we need to determine the tax shield amount and then discount it to present value.

The tax shield amount is equal to the interest expense multiplied by the corporate tax rate. In this case, the interest expense can be calculated as the outstanding debt multiplied by the interest rate:

Interest expense = Debt outstanding * Interest rate

Interest expense = $104 million * 9% = $9.36 million

Tax shield amount = Interest expense * Tax rate

Tax shield amount = $9.36 million * 35% = $3.276 million

To calculate the present value, we can use the formula for the present value of a growing perpetuity:

Present value = Tax shield amount / Discount rate

Since the interest tax shields have the same risk as the loan, we can use the loan's interest rate as the discount rate. Therefore, the present value can be calculated as:

Present value = $3.276 million / 9% = $36.4 million

Rounding to two decimal places, the present value of the interest tax shields from this debt is $36.40 million.

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give an example of a company that exports a service directly
give an example of a service comapny that uses joint
venture
give an example of a service company that uses merger

Answers

A software development company that provides remote programming services to clients in different countries.

The software development company directly exports its service by offering its programming expertise to clients located outside of its home country. The service is delivered remotely, without the need for physical presence or transportation of goods.

A consulting firm and a local construction company forming a joint venture to provide comprehensive infrastructure development solutions.

The consulting firm and the construction company join forces through a joint venture to leverage their respective expertise and resources. By collaborating, they offer a complete range of services to clients, combining consulting and construction capabilities.

A telecommunications company merging with a media production company to create an integrated entertainment and content streaming service.

The telecommunications company and the media production company merge their operations to form a new entity that offers combined services. The merger allows them to provide a seamless experience for customers, integrating telecommunications and media services into a single platform.

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Regis Clothiers can borrow from its bank at 19 percent to take a cash discount. The terms of the cash discount are 2/14, net 55. a. Compute the cost of not taking the cash discount. (Use a 360-day year. Do not round intermediate calculations. Input your final answer as a percent rounded to 2 decimal places.) Cost of not taking a cash discount % b. Should the firm borrow the funds? O No Yes.

Answers

According to question we have it is profitable for Regis Clothiers to borrow from its bank to take a cash discount.

a. Compute the cost of not taking the cash discount. The formula for the cost of not taking a cash discount is: Cost of not taking a cash discount = [Discount % ÷ (100 − Discount %)] × [360 ÷ (Full allowed payment days − Discount days)]Using the given data, Discount = 2%Full allowed payment days = 55 days Discount days = 14 days Cost of not taking a cash discount = [2 ÷ (100 − 2)] × [360 ÷ (55 − 14)]Cost of not taking a cash discount = 38.16% .

Therefore, the cost of not taking a cash discount is 38.16% which implies that the company has to pay a high cost for not taking the cash discount. b. the firm should borrow funds as the cost of not taking a cash discount is 38.16% which is much greater than the interest rate of 19%. So, it is profitable for Regis Clothiers to borrow from its bank to take a cash discount.

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Q4) The most recent financial statement for your company is as follows. Sales for 2021 are projected to grow by 25%. Interest expense will remain constant. The tax rate and the dividend payout rate will also remain constant. Costs, other expenses, current assets, and accounts payable increase spontaneously with sales. If the firm is operating at only 70% capacity, and no new debt or equity is issued, what is the external financing needed to support the growth rate in sales? (10 Points) Income Statement 2021 Sales $800,000 Costs 700,000 Other expenses 20,000 Ebit 80,000 Interest paid 10,000 Taxable income 70,000 Taxes (35%) 24,500 Net income 45,500 Balance Sheet 2021 Liabilities and Equity Current liabilities 25,000 Acc payable 40,000 Notes payable 85,000 Total 150,000 Longterm debt Owners' Equity 422,026 Comm. Stock RE Total 572,026 Total liability and equity Dividend Add to RE Current assets Cash Acc. Receivables Inventory Total Fixed assets Net plant & equip. Total assets Assets 33,735 11,765 68,000 17,000 85,000 158,000 140,000 182,900 322,900 565,900

Answers

External financing needed to support growth rate in sales is $124,375. Costs, other expenses, current assets, and accounts payable increase spontaneously with sales.

Given that sales for 2021 are projected to grow by 25%, interest expense will remain constant, and the tax rate and dividend payout rate will also remain constant.
1. From the income statement, we have:
Sales $800,000
Costs 700,000
Other expenses 20,000
EBIT 80,000
Interest paid 10,000
Taxable income 70,000
Taxes (35%) 24,500
Net income 45,500
2. From the balance sheet, we have:
Current assets
Cash 33,735
Accounts Receivables 11,765
Inventory 68,000
Total 113,500
Fixed assets
Net plant & equipment 322,900
Total assets 436,400
3. Liabilities and Equity
Current liabilities 25,000
Accounts payable 40,000
Notes payable 85,000
Total 150,000
Long-term debt 189,374
Owners' equity 422,026
Common stock 35,000
Retained earnings 387,026
Total 611,400
Total liabilities and equity 761,400
Here, external financing is given as: External financing = (A*/S)ΔS – spontaneous liabilities – retained earnings.
Where A* is the asset intensity ratio, which is fixed assets / total assets and ΔS is the change in sales. Here, A* = 322,900 / 436,400 = 0.741.
External financing = (0.741/1.25) × (800,000 - 700,000) - (25,000 + 40,000) - 45,500
Thus, External financing = $124,375.

Hence, total liabilities and equity 761,400 and the external financing needed to support growth rate in sales is $124,375.

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CD Corp. acquired some special equipment for € 646000 on August 1, 2014. The useful life of the equipment was estimated to be 7 years and its residual value was assumed to be zero. The company uses the linear method and calculates the annual depreciation charges according to the number of months used. The depreciation is recorded indirectly. On November 30, 2015, the equipment was sold for € 597000 cash.
Requirement: Post all necessary entries for 2015 (including any adjusting entries) related to the sale of the equipment to the corresponding ledger accounts. There are no closing entries required.

Answers

To record the necessary entries for the sale of the equipment in 2015, we need to account for the depreciation expense and the sale transaction. Here are the entries:

Depreciation Expense:

Debit: Depreciation Expense (Income Statement) - € (646,000 / 7 years * 16 months)

Credit: Accumulated Depreciation (Balance Sheet) - € (646,000 / 7 years * 16 months)

Explanation: The equipment was used for 16 months in 2015 (from January 1 to November 30), so we need to record the depreciation expense for that period.

Sale of Equipment:

Debit: Cash (Asset) - € 597,000

Debit: Accumulated Depreciation (Balance Sheet) - (Amount equal to the total accumulated depreciation up to the date of sale)

Debit: Loss on Sale of Equipment (Income Statement) - (Difference between the carrying amount and the sale proceeds)

Credit: Equipment (Asset) - € 646,000

Explanation: The equipment was sold for € 597,000, which is less than its carrying amount. Therefore, a loss on the sale is recorded.

Please note that the specific amount of accumulated depreciation and loss on sale needs to be calculated based on the information provided. Also, ensure that the ledger accounts are updated with the corresponding amounts and dates for these entries.

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Available-for-sale (AFS) debt investments are reported as O equity current assets O long-term assets O either current assets or long-term assets if the business expects to sell them within one year b) Conservative field test stated that given vector field F(x,y) = f(x,y)i + g(x,y)j is conservative on D where f(x,y) and g(x, y) are continuous and have continuous first partial derivatives on some open region D, then of ag = i. Let F(x, y) = yi - 2xj, find a nonzero function h(x) such that h(x)F(x,y) is a conservative vector field. ii. Let F(x, y) = yi - 2xj, find a nonzero function g(y) such that g(y)F(x,y) is a conservative vector field. (10 marks) c) Depending on F(x, y) represents either a force, velocity field or vector field, line integral can be applied in engineering field such as finding a work done, circulation and flux, respectively. Explain each application in term of line integral and accompanied with examples for each application. 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During January 30,000 units were transferred into production from another department. At the end of January there were 2.000 units in ending Work in Process that were 75% completo Materials are added at the beginning of the process while conversion costs are incurred uniformly throughout the process. The weighted-average method is used. Question 8 0/1 point Referring to the data above for department R5, how many units were transferred out of the process in January? Question 10 0/1 point Referring to the data above for department R5 how much is the equivalent units of production for conversion costs for January? The ground state wavefunction of the electron in the hydrogen atom is spherically symmetric which means that the wavefunction phi (r) can be written solely in terms of the radial coordinate r representing the distance between the proton and electron. (a) What does the quantity | phi (r)|^2 mean physically? (b) Show that the volume of a thin spherical shell of radius r and thickness dr is 4 pi r^2 dr. (You can use the approximation for small dr that the volume is the surface area of the sphere times dr.) (c) In spherical coordinates, the ground state solution of the Schrodinger equation for the hydrogen atom is phi_100 = 1/Squareroot pi a_0^3 e^-r/a_0, where a_0 is the same constant as from the previous problem. Use the result of part (b) to write an expression for the probability that the electron is in a spherical shell of radius r and thickness dr. (d) Calculate the radius of the shell (of constant thickness dr) where the electron is most likely to be found. Arooted tree is a binary tree if every internal vertex has 2children ? (T or F) and (Why) Find the standard matrix A for the linear transformation T: RR given below and use A to find T(2,-3,1). W = 5x + y - 2z W2 = 7x +2y "The book value of SA Ornirats equity is 106,000 euros, with aACB of 3. The companys cash position is 84,000 euros and itsfinancial and banking debt is 410,000 euros.What is its market value leverage based on net financial debt? Consider the differential equation xy" + ay = 0 (a) Show that x = 0 is an irregular singular point of (3). 1 (b) Show that substitution t = -yields the differential equation X d y 2 dy + dt t dt + ay = 0 (c) Show that t = 0 is a regular singular point of the equation in part (b) (d) Find two power series solutions of the differential equation in part (b) about t = 0. (e) Express a general solution of the original equation (3) in terms of elementary function, i.e, not in the form of power series. (3) Emarpy Appliance is a company that produces all kinds of major appliances. Bud Banis, the president of Emarpy, is concerned about the production policy for the company's best-selling refrigerator. The annual demand for this has been about 7,500 units each year, and this demand has been constant throughout the year. The production capacity is 185 units per day. Each time production starts, it costs the company $110 to move materials into place, reset the assembly line, and clean the equipment. The holding cost of a refrigerator is $50 per year. The current production plan calls for 370 refrigerators to be produced in each production run. Assume there are 250 working days per year. a) What is the daily demand of this product? units (enter your response as a whole number). b) If the company were to continue to produce 370 units each time production starts, how many days would production continue? days (enter your response as a whole number). runs (round your response to the c) Under the current policy, how many production runs per year would be required? nearest whole number). What would the annual setup cost be? $ (round your response to the nearest whole number). units (round d) If the current policy continues, how many refrigerators would be in inventory when production stops? your response to the nearest whole number). What would the average inventory level be? units (round your response to the nearest whole number). e) If the company produces 370 refrigerators at a time, what would the total annual setup cost and holding cost be? $ (round your response to the nearest whole number). f) If Bud Banis wants to minimize the total annual inventory cost, how many refrigerators should be produced in each production run? units (round your response to the nearest whole number). How much would this save the company in inventory costs compared to the current policy of producing 370 units in each production run? $ (round your response to the nearest whole number). Suppose the quantity supplied S and the quantity demanded D of soft drinks at a festival r given by the following functions. 10 pointsS(p)=-400 + 300p D(p) = 1200-340p Where p is the price of the soft drink.a) Find the equilibrium price for the soft drinks.b) What is the equilibrium quantity? This is a classwork related to Essential of Accounting of thetopic Budgeting.Suggest 3 items that you want to add on the current budget andstate how could those items improve Hong Kong's Economic do foreign investments always create benefits for the hostcountry? explain your argument