Explain why pA = pB = MC is the unique Nash Equilibrium of a
Bertrand model with two firms, identical products and constant
marginal cost

Answers

Answer 1

In the Bertrand model with two firms, identical products, and constant marginal cost, pA = pB = MC is the unique Nash Equilibrium.

Let's understand why this is the case. Explanation: The Bertrand model is a model of competition between firms that produce homogeneous products and sell at the same price. Each firm chooses the price at which it will sell its product and the consumers buy from the cheapest seller.

It is a model of duopoly. The marginal cost is the cost of producing an additional unit of a product. It is assumed to be constant in the Bertrand model. The profits of a firm in the Bertrand model can be calculated as Profit = (Price - Marginal Cost) x Quantity SoldThe Nash Equilibrium is a situation where each firm maximizes its profits given the price of the other firm. In other words, a Nash Equilibrium is a situation where no firm can increase its profits by changing its price. In the Bertrand model with two firms, identical products, and constant marginal cost, the only Nash Equilibrium is where both firms charge a price equal to their marginal cost.

Thus, the only Nash Equilibrium is where both firms charge a price equal to their marginal cost.

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Related Questions

E7–11 On January 1, Speedy Delivery Company purchases a delivery van for $90,000. Speedy estimates that at the end of its six-year service life, the van will be worth $30,000. During the six-year period, the company expects to drive the van 200,000 miles. Required: Calculate annual depreciation for the first two years using each of the following methods. Round all amounts to the nearest dollar. 1. Straight-line. 2. Double-declining-balance. 3. Activity-based. Actual miles driven each year were 32,000 miles in year 1 and 35,000 miles in year 2.

Answers

the periodic deprecation for the first two times using Straight- line deprecation is$ 10,000, Double- declining- balance deprecation is$ 5,376 and$ 8,584 and exertion- grounded deprecation is$ 9,600 and$ 10,500.

The formula for calculating straight- line deprecation is given by

Annual deprecation = ( cost of asset- salvage value)/ useful life of asset

In the given problem, the cost of the van is$ 90,000, the estimated salvage value at the end of the service life is$ 30,000 and the useful life of the van is 6years.

Annual deprecation = ($ 90,000-$ 30,000)/ 6

= $ 10,000

deprecation for Year 1

Depreciation = $ 10,000 = $ 10,000 Year 1

Depreciation for Year 2

Depreciation = $ 10,000 = $ 10,000 Year 2

2. Double- declining- balance depreciation: The double- declining- balance system of deprecation is an accelerated deprecation system in which the deprecation expenditure decreases with time. The formula for double- declining- balance deprecation is

Annual deprecation rate = ( 2/ useful life of asset) * 100

In the given problem, the useful life of the van is 6years.

Annual deprecation rate = ( 2/ 6) * 100

= 33.33

deprecation for Year 1

Depreciation = (33.33 *$ 90,000) * 32,000/ 200,000

= $ 5,376

deprecation for Year 2

Depreciation = (( 90,000-$ 5,376) *33.33) * 35,000/( 200,000- 32,000)

= $ 8,584

3. exertion- grounded depreciation.

Activity- grounded deprecation is a system of deprecation in which the deprecation expenditure is calculated grounded on the factual operation of the asset. The formula for exertion- grounded deprecation is

Depreciation expenditure per unit of exertion = ( cost of asset- salvage value)/ total units of activity

In the given problem, the cost of the van is$ 90,000, the estimated salvage value at the end of the service life is$ 30,000 and the total units of exertion are 200,000miles.

Depreciation expenditure per afar = ($ 90,000-$ 30,000)/ 200,000 = $0.30 per mile

Depreciation for Year 1

Depreciation = $0.30 per afar * 32,000 long hauls

= $ 9,600

deprecation for Year 2

Depreciation = $0.30 per afar * 35,000 long hauls

= $ 10,500

thus, the periodic deprecation for the first two times using Straight- line deprecation is$ 10,000, Double- declining- balance deprecation is$ 5,376 and$ 8,584 and exertion- grounded deprecation is$ 9,600 and$ 10,500.

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Decisions regarding purchases and sales of government securities by the Fed are made by the:

a. Federal Funds Committee.
b. Discount Committee.
c. Federal Open
d. Market Committee FDIC

Answers

Decisions regarding buying and deals of country securities by the Fed are made by the Federal Open Market Committee. Therefore option C is correct.

The monetary policy setting in the United States can be done by the Federal Open Market Committee. This committee consists of 12 members including the Reserve Bank presidents, and the Board of Governors. They meet regularly to monitor the economic conditions.

The Federal Open Market Committee chooses the suitable method of action for monetary policy for open market operations, in which buying and selling involve and also government security is virtually involved. This influences the sales of resources in reserve banks.

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The complete question is:

Decisions regarding purchases and sales of government securities by the Fed are made by the:

a. Federal Funds Committee.

b. Discount Committee.

c. Federal Open Market Committee

d.  FDIC

One of the main roles of software architecture is to facilitate communication among stakeholders

a. True
b. False

Answers

The given assertion "  One of the main roles of software architecture is to facilitate communication among stakeholders." is true because software architecture assumes a pivotal part in empowering viable correspondence among different partners associated with the turn of events and support of a product framework.

Partners in programming improvement projects normally incorporate clients, end-clients, engineers, project chiefs, quality affirmation groups, and other pertinent gatherings.

These partners frequently have alternate points of view, needs, and prerequisites. Programming engineering goes about as an outline that gives a mutual perspective and a typical language for all partners.

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In this PROJECT you have to demonstrate that you have led a team of professionals and have implemented an improved practice in one learning environment. The learning environment could be one division or department in your chosen organization, any other organization, or a vocational training institution in Australia. In your project you must show that you have done (with your team) -

An evaluation of ways in which to improve learning practice (students need to show evaluation methods)
How the process was managed and monitored (monitoring tools used, strategies adopted to manage, research done etc.)
Plan improved learning practice (based on learners’ attributes i.e. style, experience etc.)
How improved learning practice was advocated (given active support and recommended)
How colleagues were mentored to promote learning practice (discuss the procedures, support provided etc.)
Finally prepare a PRESENTATION for your organization to brief everything that you have done.

Answers

The order to demonstrate that you have led a team of professionals and implemented an improved practice in a learning environment, there are a few key steps that you need to follow.

These steps are as follows:Step 1: Identify the Learning EnvironmentFirstly, you need to identify the learning environment that you are going to be working in. This could be one division or department in your chosen organization, any other organization, or a vocational training institution in Australia. Once you have identified the learning environment, you need to familiarize yourself with it and identify areas where you can make improvements.Step 2: Identify the TeamOnce you have identified the learning environment, you need to identify the team that you will be working with. This team should consist of professionals who are familiar with the learning environment and have the necessary skills and experience to make improvements.Step 3: Develop an Improved PracticeOnce you have identified the team, you need to work with them to develop an improved practice. This could involve developing new policies and procedures, implementing new training programs, or introducing new technologies. It is important that the improved practice is evidence-based and that it has been tested and validated before it is implemented.Step 4: Mentor Colleagues to Promote Learning PracticeOnce the improved practice has been developed and implemented, you need to mentor colleagues to promote learning practice. This involves providing training and support to colleagues to help them understand and implement the improved practice. It is important to document the procedures and support provided to colleagues.Step 5: Prepare a PresentationFinally, you need to prepare a presentation for your organization to brief everything that you have done. This presentation should provide an overview of the learning environment, the team that you worked with, the improved practice that was developed and implemented, and the procedures and support that were provided to colleagues. It should also include a discussion of the outcomes that were achieved and the lessons that were learned.

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(Two students, Cindy and Xavier, are discussing labour-leisure choice. Cindy says that if Kimberley has upward-sloping labour supply curve, then leisure must be a normal good for her. If, on the other hand, she is on the backward-bending part of her labour supply curve, then leisure must be an inferior good for her. Xavier disagrees: "Normal and inferior goods are about income changes, not wage changes. Therefore, we do not have enough information: for Kimberly, leisure could be an inferior or normal good in either of these cases."

Do you agree or disagree? Carefully explain your point of view. Support your argument with graphs of income, substitution and total effects (please put leisure on the horizontal axis and the other goods on the vertical axis).

Please assume that Kimberley's preferences over leisure and other goods are strictly convex and satisfy "more is better" assumption.

Answers

I agree with Xavier's argument. The relationship between the shape of Kimberley's labor supply curve and the classification of leisure as a normal or inferior good depends on income changes rather than wage changes. Therefore, we do not have enough information to determine whether leisure is a normal or inferior good for Kimberley based solely on the shape of her labor supply curve.

Normal goods are those for which the quantity demanded increases as income increases, while inferior goods are those for which the quantity demanded decreases as income increases. Leisure, in this context, refers to the amount of free time or non-work activities that Kimberley chooses.

The shape of Kimberley's labor supply curve can provide insights into her labor-leisure trade-off and how it changes with wage rates. However, it does not directly reveal whether leisure is a normal or inferior good for her.

To illustrate this, let's consider two scenarios:

Upward-Sloping Labor Supply Curve:

If Kimberley's labor supply curve is upward-sloping, it implies that as the wage rate increases, she chooses to work more and allocate less time to leisure. This suggests a positive substitution effect, where the higher wage rate makes leisure relatively more expensive, leading to a substitution of leisure with work.

Backward-Bending Labor Supply Curve:

If Kimberley's labor supply curve exhibits a backward-bending portion, it means that at higher wage rates, she chooses to work fewer hours and allocate more time to leisure. In this case, the substitution effect of the higher wage rate is dominated by the income effect, which makes leisure a normal good. The income effect reflects the fact that higher wages increase Kimberley's income, allowing her to afford more leisure.

In both scenarios, the shape of the labor supply curve provides insights into how Kimberley responds to changes in the wage rate, but it does not directly determine whether leisure is a normal or inferior good for her. This is because the concept of normal and inferior goods is related to income changes, not wage changes.

Graphically, we can represent these scenarios using the standard labor-leisure choice model. The horizontal axis represents leisure, and the vertical axis represents other goods. The budget constraint reflects the trade-off between leisure and consumption, given the wage rate and income level.

In the case of an upward-sloping labor supply curve, the budget constraint shifts outward as the wage rate increases, leading to a higher consumption level and a decrease in leisure. However, the income effect may also lead to an increase in leisure if leisure is a normal good.

In the case of a backward-bending labor supply curve, the budget constraint still shifts outward as the wage rate increases, but the income effect dominates, leading to an increase in leisure and a decrease in consumption.

Therefore, the determination of whether leisure is a normal or inferior good for Kimberley requires considering the income effect in addition to the shape of the labor supply curve.

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In what way the Covid-19 affectes the demand of
cinemas and other platform's?
as in lockdown the demands of cinema's fell down whereas, demand of
other platform's like Netflix was increased.

Answers

The Covid-19 pandemic had a significant impact on the demand for cinemas and other platforms.

The Covid-19 pandemic resulted in widespread lockdowns and social distancing measures, which greatly affected the entertainment industry. Cinemas, being physical venues, were heavily impacted as they had to close their doors to comply with safety regulations and prevent the spread of the virus. This led to a sharp decline in the demand for cinema experiences as people were unable or reluctant to visit theaters.

On the other hand, the demand for other platforms such as streaming services like Netflix experienced a surge during the pandemic. With people staying at home due to lockdown measures, the demand for home entertainment increased. Streaming platforms offered a convenient and accessible way for people to access a wide range of movies and TV shows from the comfort of their homes. This led to an increase in demand for streaming services, as people sought alternative sources of entertainment.

The contrasting effects on the demand for cinemas and other platforms can be attributed to the changing consumer behavior and the need for entertainment options that align with the restrictions imposed by the pandemic.

The Covid-19 pandemic had a negative impact on the demand for cinemas due to closures and restrictions, while it had a positive impact on the demand for streaming platforms like Netflix as people turned to home entertainment options. These shifts in demand reflect the changing preferences and circumstances brought about by the pandemic.

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According to Geert Hofstede's model, in collectivist societies: A. employees prefer to act individually.
B. individuals put their personal needs ahead of their family.
C. employees are motivated by group-based rewards and recognition programs.
D. individuals will oppose capitalistic ideologies.
E. employees may feel uncomfortable working in teams.

Answers

According to Geert Hofstede's model, in collectivist societies, employees are motivated by group-based rewards and recognition programs. Therefore, the correct answer is option C.

In collectivist cultures, such as many Asian and African countries, there is a strong emphasis on group harmony, cooperation, and interdependence. Individual success is often seen as a reflection of the collective's success, and employees derive motivation from being recognized and rewarded as part of a group.

In collectivist societies, individuals typically prioritize the needs and goals of the group, such as their family, community, or organization, over their personal interests (Option B). This sense of collective identity and responsibility fosters collaboration, teamwork, and loyalty towards the group's objectives.

While individuals in collectivist societies value group cohesion, it does not necessarily mean they prefer to act individually (Option A). In fact, they may feel more comfortable and effective when working in teams, as cooperation and consensus-building are valued traits.

It is important to note that collectivism does not imply opposition to capitalistic ideologies (Option D). Many collectivist societies have thriving capitalist economies where individuals and organizations operate within a framework of shared values and mutual obligations.

In conclusion, in collectivist societies, employees are motivated by group-based rewards and recognition programs, prioritize the needs of their group over personal interests, and often thrive in collaborative team environments.

Understanding these cultural dynamics is crucial for effective management and leadership in collectivist societies. Therefore, the correct answer is option C.

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what is tata motors strategy going forward? what role will exporting play in expanding the company’s global presence?

Answers

Tata Motors strategy going forward includes a focus on three key areas: electric vehicles, connected cars, and shared mobility. In the electric vehicle segment, Tata Motors aims to be a leader in the Indian market with the launch of its Nexon EV and is also planning to introduce several new EV models in the coming years.

In the connected cars segment, Tata Motors has partnered with Microsoft to develop a range of connected car technologies. Finally, in the shared mobility segment, Tata Motors is investing in a number of mobility startups to expand its presence in this growing market.

Exporting will play a significant role in expanding Tata Motors' global presence. The company already exports its vehicles to several countries, including the UK, South Africa, and Australia. Tata Motors plans to expand its export markets further, particularly in Southeast Asia and Africa.

In addition, the company is looking to set up assembly plants in key markets to reduce the cost of exporting and to better serve local customers. By expanding its global presence through exporting and local assembly, Tata Motors can increase its revenue and reduce its reliance on the Indian market.

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Question 41 1 pts A firm sells output in a perfectly competitive market. Assume the firm's total costs are defined by the following table: Output Total Cost (in dollars) 0 $3 1 $9 2 $14 3 $18 4 $23 5

Answers

The firm’s profit-maximizing output level is 2 units.

The firm can determine its profit-maximizing level of output by comparing its marginal revenue and marginal cost. In a perfectly competitive market, the marginal revenue is constant and equal to the price. Therefore, the firm's marginal revenue is $5, which is the same as the market price. The marginal cost of producing the first unit is $6, which is greater than the marginal revenue. At the second unit, the marginal cost is $5, which is equal to the marginal revenue. Therefore, the profit-maximizing level of output is 2 units. At the third unit, the marginal cost is $6, which is greater than the marginal revenue. Thus, the firm's profit-maximizing level of output is 2 units.

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There are some people, mainly Democrats, who think that the District of Columbia should become a state. In order for that to happen, it would take an act of Congress, passed in the form of regular legislation and signed by the president. In the current Congress, if such a bill were proposed and if every Democrat in both chambers favored it while all of the Republicans were against it, would this bill be likely to pass? Explain why or why not.

Answers

If a bill were proposed for making the District of Columbia a state and every Democrat in both chambers favored it while all of the Republicans were against it, then this bill is unlikely to pass. This is because the Democrats would need at least some Republican support to overcome procedural obstacles and potential filibusters.

Legislation in Congress usually requires a simple majority to pass in both the House of Representatives and the Senate. However, when it comes to making the District of Columbia a state, there are several factors that make it more difficult:

In the Senate, there is a filibuster rule that allows senators to block legislation unless 60 senators vote to end debate and move to a vote. Since the Democrats do not have 60 votes, they would need some Republican support to pass a bill for D.C. statehood.

In addition, there are concerns that making D.C. a state would give Democrats an unfair advantage in Congress since the city has a predominantly Democratic population. This could lead to opposition from Republicans who do not want to cede power to the Democrats.

Finally, there are constitutional questions about whether Congress has the authority to make D.C. a state since the Constitution specifies that the capital must be a federal district, not a state. This could lead to legal challenges that would have to be resolved before a bill could be passed.

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Paula Boothe, president of the Pronghorn Corporation, has mandated a minimum 6% return on investment for any project undertaken by the company. Given the company's decentralization, Paula leaves all investment decisions to the divisional managers as long as they anticipate a minimum rate of return of at least 8%. The Energy Drinks division, under the direction of manager Martin Koch, has achieved a 15% return on investment for the past three years. This year is not expected to be different from the past three. Koch has just received a proposal to invest $1,868,000 in a new line of energy drinks that is expected to generate $237,100 in operating income.

Calculate the residual income for the proposed new line of energy drinks.

Answers

Residual income is the income earned by an investment after the cost of capital has been paid. Therefore, the residual income for the proposed new line of energy drinks is -$24,420.

It can be calculated as the actual return on investment minus the minimum acceptable rate of return needed to undertake the investment. Residual income = Actual return on investment - Minimum acceptable rate of return needed to undertake the investment

Here, the minimum acceptable rate of return for the Pronghorn Corporation is 6%, while the Energy Drinks division needs to anticipate at least an 8% return on investment. The division has been generating a 15% return on investment for the past three years. Hence, the proposed investment must have an actual return on investment that is higher than 8% to be considered. The calculation for residual income is as follows:

Operating income = $237,100

Minimum acceptable rate of return = 6% × $1,868,000

= $112,080

Actual return on investment = $237,100 - $112,080

= $125,020

Residual income = $125,020 - 8% × $1,868,000

= $125,020 - $149,440

= -$24,420

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The purpose of separately reporting the amounts for unusual and/or infrequent items and discontinued operations is to assist users of the income statement in making forecasts of future earnings.

a. True
b. False

Answers

B (False). the purpose of separately reporting the amounts for unusual and/or infrequent items and discontinued operations is not to assist users of the income statement in making forecasts of future earnings.

The correct option is B

It is important for users of financial statements to have a clear understanding of the underlying operating performance of a business. However, it is often the case that a business will experience events that do not represent the ongoing, regular operations of the business. These events, which can be positive or negative, are often referred to as unusual and/or infrequent items.

These unusual or infrequent items are disclosed separately on the income statement to make them stand out and to help the user of the income statement to understand what is and what is not related to the ongoing operating performance of the business. This type of disclosure assists in the evaluation of the underlying performance of the company for a given period of time.

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tyson fields is applying for a $140,000 mortgage. he can select either a $980 monthly payment with no points or a $882 payment with 4 points. how many months will it take tyson to cover the cost of the discount points if he takes the lower monthly payment?

Answers

The cost of the discount points is 4% * $140,000 = $5,600.

The difference between the two monthly payments is $980 - $882 = $98.

How to calculate this

So, it will take Tyson 5,600 / 98 = 58 months to cover the cost of the discount points.

In other words, it will take Tyson just over 5 years to break even on the lower monthly payment.

Putting it succinctly:

The cost of the discount points is 4% * $140,000 = $5,600.

The difference between the two monthly payments is $980 - $882 = $98.

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The Oxnard City Bank has $9 million in loans, $9 million in deposits, $2 million in bonds, and $5 million in reserves. What is the Oxnard City Bank's net worth in millions of dollars?

Answers

The Oxnard City Bank has $9 million in loans, $9 million in deposits, $2 million in bonds, and $5 million in reserves. The net worth of Oxnard City Bank is $16 million.

The net worth of Oxnard City Bank, we need to subtract its liabilities from its assets.

Assets:

Loans: $9 million

Deposits: $9 million

Bonds: $2 million

Reserves: $5 million

Liabilities:

Deposits: $9 million

Net Worth = Assets - Liabilities

Assets = $9 million (Loans) + $9 million (Deposits) + $2 million (Bonds) + $5 million (Reserves) = $25 million

Liabilities = $9 million (Deposits)

Net Worth = $25 million - $9 million = $16 million

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Which of the following is NOT considered to be evidence of NAFTA’s success?
a. US FDI in Mexico averaged $12 billion a year, three times what India took in.
b. Mexico’s GDP per capita rose 24% to over $4,000.
c. About 1,000 maquiladora factories have closed down in Mexico since 2000.
d. U.S. exports to Canada doubled and U.S. exports to Mexico grew threefold


Answers

The statement that is NOT considered evidence of NAFTA success is  "About 1,000 maquiladora factories have closed down in Mexico since 2000." The correct answer is option (c).

Options a, b, and d are generally viewed as positive outcomes of NAFTA:

a. US FDI in Mexico averaging $12 billion a year, three times what India took in, suggests increased investment and economic integration between the United States and Mexico, which is seen as a positive result of NAFTA.

b. Mexico's GDP per capita rising 24% to over $4,000 indicates an improvement in living standards and economic growth, which is often attributed to the trade liberalization and increased market access facilitated by NAFTA.

d. U.S. exports to Canada doubling and U.S. exports to Mexico growing threefold demonstrate the expansion of trade between the countries involved in NAFTA, indicating increased economic opportunities and market access for American businesses.

On the other hand, the closure of maquiladora factories in Mexico (option c) does not directly reflect NAFTA's success. Maquiladoras are manufacturing facilities that often operate under specific conditions, including foreign investment and export-oriented production.  Hence, option (c) is the correct answer.

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"Process costing is like rolling a snowball into a snowman." Do
you agree with this statement? If you agree, explain why (maximum
100 words).

Answers

Process costing and rolling a snowball into a snowman have a similarity in the sense that both involve incremental additions to an initial entity.

In process costing, production costs are accumulated and allocated to each production unit incrementally as it passes through various stages of production. Similarly, when rolling a snowball into a snowman, it starts small and gathers more snow, incrementally building up its size and shape.

Both process costing and rolling a snowball require careful attention to detail and consistent effort to ensure a successful outcome. In the end, both result in a finished product that is the sum of its incremental parts.

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Journalizing Installment Notes On the first day of the fiscal year, a company issues $39,000, 10%, four-year installment notes that have annual payments of $12,303. The first note payment consists of $3,900 of interest and $8,403 of principal repayment. a. Journalize the entry to record the issuance of the installment notes. If an amount box does not require an entry, leave it blank. Cash ✓ Notes Payable ✓ b. Journalize the first annual note payment. If an amount box does not require an entry, leave it blank. Interest Expense Notes Payable Cash

Answers

Correct journal entries for the issuance of installment notes are Cash (debit) and Notes Payable (credit). For the first annual note payment, the journal entries are Interest Expense (debit), Notes Payable (debit), and Cash (credit).

Journalizing the issuance of installment notes when a company issues installment notes, the first thing that they will do is record the entry for the issuance of the installment notes. This entry involves debiting Cash for the amount received and crediting Notes Payable for the face value of the note.

The journal entry to record the issuance of the installment notes is as follows: Journal Entries Date Account Titles and Explanation DebitCredit Installment Notes 39,000  Cash39,000   b. Journalizing the first annual note payment when a company makes a payment on an installment note, a portion of the payment is applied to principal reduction, while the remaining part goes towards interest expense.

The first note payment consists of $3,900 of interest and $8,403 of principal repayment. The journal entry to record the first annual note payment is as follows: Journal Entries Date Account Titles and Explanation DebitCredit Interest Expense3,900  Notes Payable8,403  Cash12,303 Therefore, the correct answer is: Cash and Notes Payable, respectivelyInterest Expense, Notes Payable, and Cash, respectively

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Prepare entries to record the following non-strategic investment transactions of Arrowhead Investment Corporation. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Do not round intermediate calculations. Round your final answers to the nearest whole dollar amount.)
2020
Mar. 1 Paid $76,980 to purchase a $76,000, two-year, 8.0% bond payable of Action Corporation dated March 1. Interest is paid quarterly beginning June 1. Management intends to actively trade bond purchases.
Apr. 16 Bought 2,800 common shares of Brandon Motors at $28.00.
May 2 Paid $54,968 to purchase a five-year, 5.50%, $56,000 bond payable of Collingwood Corporation. Interest is paid annually each April 30.
June 1 Received a cheque from Action Corporation regarding quarterly interest.
Aug. 1 Brandon Motors’ board of directors declared a dividend of $0.75 per share to shareholders of record on August 10, payable August 15.
15 Received the Brandon Motors dividend.
Sept. 1 Received a cheque from Action Corporation regarding quarterly interest.
17 Purchased 26,600 Dauphin Inc. common shares at $3.90.
Oct. 20 Sold the Brandon Motors shares at $31.50.
Dec. 1 Received a cheque from Action Corporation regarding quarterly interest.
1 Sold the Action Corporation bond at 101.
31 Accrued interest on the Collingwood bond. The fair value of the equity security on this date was Dauphin, $4.20. The carrying value equalled the fair value for the Collingwood bond.
2021
Apr. 30 Received a cheque from Collingwood Corporation regarding annual interest.

Answers

Here are the journal entries to record the non-strategic investment transactions of Arrowhead Investment Corporation:

2020

Mar. 1:

Investment in Bonds - Action Corporation 76,980

Cash 76,980

(To record the purchase of the bond payable of Action Corporation)

Apr. 16:

Investment in Common Shares - Brandon Motors 78,400

Cash 78,400

(To record the purchase of common shares of Brandon Motors)

May 2:

Investment in Bonds - Collingwood Corporation 54,968

Cash 54,968

(To record the purchase of the bond payable of Collingwood Corporation)

June 1:

Cash 1,520

Interest Revenue 1,520

(To record the receipt of quarterly interest from Action Corporation)

Aug. 1:

Dividend Receivable - Brandon Motors 2,100

Dividend Revenue 2,100

(To record the declaration of dividend by Brandon Motors)

Aug. 15:

Cash 2,100

Dividend Receivable - Brandon Motors 2,100

(To record the receipt of dividend from Brandon Motors)

Sept. 1:

Cash 1,520

Interest Revenue 1,520

(To record the receipt of quarterly interest from Action Corporation)

Sept. 17:

Investment in Common Shares - Dauphin Inc. 103,740

Cash 103,740

(To record the purchase of common shares of Dauphin Inc.)

Oct. 20:

Cash 87,600

Investment in Common Shares - Brandon Motors 78,400

Gain on Sale of Investment 9,200

(To record the sale of Brandon Motors shares at $31.50)

Dec. 1:

Cash 1,520

Interest Revenue 1,520

(To record the receipt of quarterly interest from Action Corporation)

Dec. 1:

Cash 77,760

Investment in Bonds - Action Corporation 76,000

Gain on Sale of Investment 1,760

(To record the sale of Action Corporation bond at 101)

Dec. 31:

Interest Receivable - Collingwood Corporation 2,775

Interest Revenue 2,775

(To record the accrual of interest on the Collingwood bond)

2021

Apr. 30:

Cash 2,800

Interest Receivable - Collingwood Corporation 2,800

(To record the receipt of annual interest from Collingwood Corporation)

These journal entries reflect the transactions related to non-strategic investments for Arrowhead Investment Corporation.

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A good's demand is given by: P = 781 - 2Q. At P = 161, the point price elasticity is: Enter as a value (round to two decimal places if necessary).

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Given good's demand: P = 781 - 2QAt P = 161, we have:P = 781 - 2QP - 781 = -2Q-620 = -2QQ = 310Now, we have the value of Q and P at Q = 310 and P = 161Price elasticity of demand is given by εp = (dQ / dP) * (P / Q)At Q = 310 and P = 161:εp = (dQ / dP) * (P / Q)εp = (-2) * (161 / 310)εp = -1.043The point price elasticity is equal to -1.04 (rounded to two decimal places).

Price elasticity of demand (εp) can be defined as the ratio of percentage change in the quantity demanded of a good to the percentage change in the price of that good. It measures the degree of responsiveness of quantity demanded of a good with respect to its price change. It is a negative value because of the inverse relationship between price and quantity demanded. That is, as the price of a good increases, the quantity demanded decreases and vice versa. Hence, the price elasticity of demand is negative.

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You are considering an investment opportunity that requires an initial investment of $150 million in period 0 The project will generate only one future payment of $181 million at the end of the second year. The cost of capital is 8% What is the IRR (the internal rate of return) for the project? [Note that getting the actual value should not require trial and error or a financial calculator, because this is a simple case] [Give your answer in percent, to one and only one decimal place, and with no percentage sign. For example, 6.2, 18.9 or 4.6. The software will mark it wrong. otherwise, so please format your answer properly] 0

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IRR (the internal rate of return) is the interest rate at which the present value of the future cash flows is equal to the initial investment. the IRR (the internal rate of return) for the project is 60%.

Given that the initial investment is $150 million and the future payment is $181 million at the end of the second year, the net cash flow is $31 million ($181 million - $150 million).

The cost of capital is 8%.We can find the IRR for the project as follows:

NPV = -$150 million + $31 million/(1+IRR)^2

= 0

Simplifying the above equation, we get:

31/(1+IRR)^2

= 150

We can then solve for IRR:

1+IRR = sqrt(31/150) + 1

IRR = 1.6 - 1 = 0.6

The IRR for the project is 60% (0.6 x 100 = 60%).

Therefore, the IRR (the internal rate of return) for the project is 60%.

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Please help! Will thumbs
up!
The market demand for a good is P = 70-3Q. The good can be produced at a constant cost of $10. How much Dead Weight Loss (DWL) if the market if served by a monopolist (compared to perfect competition)

Answers

The Deadweight Loss (DWL) created by the monopolist in this market compared to perfect competition is -$112.5.

In perfect competition, the market equilibrium occurs where the supply curve intersects the demand curve. The quantity produced in perfect competition can be found by equating the market demand and market supply:

70 - 3Q = Q (since supply equals demand)

4Q = 70

Q = 17.5

Now, let's calculate the price in perfect competition using the demand equation:

P = 70 - 3Q

P = 70 - 3(17.5)

P = 70 - 52.5

P = 17.5

Under perfect competition, the equilibrium quantity is 17.5 units, and the equilibrium price is $17.5.

The marginal cost (MC) is constant at $10, as given. To find the monopolist's marginal revenue (MR), we differentiate the market demand equation with respect to quantity (Q):

MR = d(PQ)/dQ = P + Q(dP/dQ)

Given the market demand equation P = 70 - 3Q, we can calculate dP/dQ as:

dP/dQ = -3

MR = P + Q(dP/dQ) = (70 - 3Q) + Q(-3) = 70 - 6Q

To find the monopolist's profit-maximizing quantity (Q_m), we set MC equal to MR:

MC = MR

$10 = 70 - 6Q_m

Solving for Q_m:

6Q_m = 70 - $10

6Q_m = $60

Q_m = $60 / 6

Q_m = 10

Substituting Q_m into the demand equation to find P_m (the monopolist's price):

P_m = 70 - 3Q_m

P_m = 70 - 3(10)

P_m = 70 - 30

P_m = $40

DWL = 0.5 * (Q_m - Q_c) * (P_m - MC)

Where:

Q_m is the quantity under monopoly (10 units)

Q_c is the quantity under perfect competition (17.5 units)

P_m is the price under monopoly ($40)

MC is the marginal cost ($10)

DWL = 0.5 * (10 - 17.5) * ($40 - $10)

DWL = 0.5 * (-7.5) * $30

DWL = 0.5 * (-225)

DWL = -$112.5

Note that the negative sign indicates a loss in consumer and producer surplus compared to the perfect competition scenario.

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On January 1, 2019, Hamad Town Go purchased a machine for $240.000. It is estimated that the machine will have a 30 year woeful le or 100,000 units over its usata sis. The at the and is not like is externated to be $20.000 Depreciation expense for the year ended December 31, 2011, uning the double-declining-balance method of depreciation should be A. $25,400 B. $22.000 C. $40,000 D. $90,000

Answers

It should be noted that using the double-declining-balance method of depreciation should be A. $25,400

How to calculate the value

The depreciation rate for the double-declining-balance method is calculated by doubling the straight-line depreciation rate. The straight-line depreciation rate is calculated by dividing the asset's cost by its useful life.

In this case, the asset's cost is $240,000 and its useful life is 30 years. The straight-line depreciation rate is therefore 8%. The double-declining-balance depreciation rate is therefore 16%.

The depreciation expense for the year ended December 31, 2011, using the double-declining-balance method is therefore $25,400. This is calculated by multiplying the asset's book value at the beginning of the year by the depreciation rate. The asset's book value at the beginning of the year is $240,000. The depreciation expense for the year is therefore $25,400.

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Describe the potential effects of a raising interest rate on
at least three different industries, respectively, and explain why.
(i.e. housing, stock, gold, international trade, etc.)

Answers

Raising interest rates can have various effects on different industries as:

1. Housing industry - increased mortgage rate, decreased affordability and slowdown in construction.

2. Stock Market - Increased borrowing costs for companies, Shifting investor preferences and Impact on sectors.

3. International Trade - Exchange rate impact, Capital flows and Debt burden on emerging economies

1. Housing Industry:

   Raising interest rates can impact the housing industry in the following ways:

Mortgage rates increase: When interest rates rise, mortgage rates tend to follow suit. This makes borrowing more expensive, leading to higher monthly mortgage payments. As a result, demand for housing may decrease, especially among first-time home buyers or those with limited budgets.Decreased affordability: Higher mortgage rates can reduce the affordability of homes, potentially leading to a decrease in home sales and slower price growth in the housing market.Slowdown in construction: Higher interest rates can also impact the construction industry as developers and builders may face increased borrowing costs. This could result in a slowdown in new construction projects and, consequently, reduced job opportunities in the construction sector.

2. Stock Market:

   Raising interest rates can influence the stock market in the following ways:

Increased borrowing costs for companies: As interest rates rise, companies face higher costs when borrowing money to fund expansion, research, or other business activities. This can lead to reduced profitability and, consequently, lower stock prices.Shifting investor preferences: When interest rates rise, some investors may shift their investment allocations from stocks to bonds or other fixed-income securities, seeking safer investments that provide higher yields. This can put downward pressure on stock prices.Impact on sectors: Rising interest rates may disproportionately affect certain sectors, such as financial institutions, which typically benefit from higher interest rates due to increased lending margins. Conversely, sectors like real estate investment trusts (REITs) that rely heavily on borrowing may face challenges as borrowing costs rise.

3.International Trade:

   Raising interest rates can have the following effects on international trade:

Exchange rate impact: Higher interest rates can attract foreign investors seeking better returns on investments. This can lead to an increase in the value of the domestic currency as demand for it rises. A stronger currency makes exports relatively more expensive and imports cheaper, potentially leading to a decrease in exports and an increase in imports.Capital flows: Higher interest rates in one country can attract capital from foreign investors seeking higher yields. This can result in an increase in capital flows into the country, potentially boosting investment and economic growth.Debt burden on emerging economies: Emerging economies often rely on borrowing in foreign currencies. When interest rates rise, the cost of servicing their debt increases, potentially putting strain on their economies and making it more difficult for them to import goods and services.

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Please describe the risk management process

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The risk management process involves identifying, assessing, prioritizing, and mitigating risks to minimize their potential impact on an organization's objectives.

1. Risk Identification: This step involves identifying potential risks that could affect the organization's operations, projects, or objectives. Risks can be internal (such as operational, financial, or strategic risks) or external (such as regulatory, market, or environmental risks).

2. Risk Assessment: Once risks are identified, they need to be assessed to determine their likelihood of occurrence and potential impact.

3. Risk Analysis: In this step, a deeper analysis of each identified risk is conducted. This includes assessing the root causes, triggers, and potential vulnerabilities associated with the risks.

4. Risk Evaluation: Based on the analysis, risks are evaluated to determine their overall significance and prioritize them for further action.

5. Risk Treatment: Once risks are evaluated, appropriate risk treatment strategies are selected.

6. Risk Monitoring and Review: After implementing risk treatment strategies, it is essential to continuously monitor and review the effectiveness of these measures.

7. Communication and Reporting: Transparent reporting helps in decision-making, maintaining accountability, and fostering a risk-aware culture within the organization.

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Answer all parts (a) to (e) of this question. The economy has three goods: A, B, and C. The prices of the goods are PA, PB and Pc. The supply functions are as follows: QA = 11+2PA-3PB + aPc QB = 9+6PB-PA-3Pc 3PB, QC = 2PC-3PA where a is a parameter. The demand is fixed: QdA = QdB = 10; QdC = q. (a) [10 marks] Using the equilibrium conditions that supply must equal demand, write down three equations that determine the equilibrium prices PA, PB and Pc. Write this system of equations in matrix form MP = N, where P = [PA, PB, PC]T. (b) [10 marks] Compute M. Show that the rank of M is 2 if a = 9/7 and 3 otherwise. (c) [10 marks] Assume a = 9/7. Find the value of q at which the system admits an infinity of solutions. (d) [10 marks] Suppose a ≠ 9/7 . Use Cramer's rule to find the equilibrium value of PA (e) [10 marks] Find ∂PA/∂q. Show that ∂PA/∂q < 0 if a < 0. Explain the economic intuition behind this sign.

Answers

The economy has three goods: A, B, and C. The prices of the goods are PA, PB and Pc. The supply functions are as follows Using the equilibrium conditions that supply must equal demand, write down three equations that determine the equilibrium prices PA, PB and Pc. Write this system of equations in matrix form MP = N.


Compute M. Show that the rank of M is 2 if a = 9/7 and 3 otherwise. Otherwise, rank of M = 3(c) Assume a = 9/7. Find the value of q at which the system admits an infinity of solutions.

Solution: Given, a = 9/7 From equation (9), we get:-3PA + 2PC = q ⇒ 2PC = q + 3PA Equation (8) becomes: -PA + 6PB - 3Pc = 1...........(10)Substituting equations (7) and (10) in (9), we get: 3 [2PA - 3PB + aPc] + 2[-PA + 6PB - 3Pc] = q3(2PA - 3PB) + 3(aPc) - 2PA + 12PB - 6Pc = qq + 4PA - 9PB - 3Pc = 0.

Since PA = PB = 10 (Given), we have On substituting PA = PB = 10, and Pc = q/3 - 2 in equations (4), (5), and (6), we get:q = 18The system has an infinity of solutions when q = 18(d) Suppose a ≠ 9/7 . Use Cramer's rule to find the equilibrium value of PA.

Solution: Given, Using Cramer's rule, we get: Find . Show that . Explain the economic intuition behind this sign. Economic intuition behind the sign: If a < 0, then a 1% increase in the demand for C will cause the price of A to decrease by ∂PA/∂q percent. This is because the supply of C falls when the price of C falls, which increases the demand for C, which in turn decreases the price of A.

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Corporate and Personal Choices Regarding the Environment of the Future.

The car manufacturer Tesla is developing new technologies to allow people to reduce their carbon footprint. In addition to a line of electric cars, the company makes other renewable energy products, such as roofing tiles that act as solar energy panels, and promotes longer-term projects such as the Hyperloop, a high-speed train project jointly designed by Tesla and SpaceX.

Of course, if businesses are to succeed in selling environmentally friendly products, they must have consumers willing to buy them. A homeowner has to be ready to spend 20 percent more than the cost of a traditional roof to install solar roofing tiles that reduce the consumption of electricity generated by fossil fuels. Although solar panels can reduce your carbon footprint, the tiles are much more expensive than standard roofing tiles.

Another personal decision is whether to buy a $35,000 Tesla Model 3 electric car. While it reduces the driver’s carbon footprint, it requires charging every 250 miles, making long-distance travel a challenge until a national system of charging stations is in place.

Tesla’s founder, Elon Musk, is also the founder of SpaceX, an aerospace manufacturer that produces and launches the only space-capable rockets currently in existence in the United States. Thus, when NASA wants to launch a rocket, it must do so in partnership with SpaceX, a private company. It is often the case that private companies develop important advances in technology, with incentives from government such as tax credits, low-interest loans, or subsidies. This is the reality of capital-intensive, high-tech projects in a free-market economy, in which government spending may be limited for budgetary and political reasons. Not only is SpaceX making the rockets, but it is making them reusable, with long-term sustainability in mind.

Should corporations and individual consumers bear joint responsibility for sustaining the environment? Why or why not?
What obligation does each of us have to be aware of our own carbon footprint?
If individual consumers have some obligation to support environmentally friendly technologies, should all consumers bear this responsibility equally? Or just those with the economic means to do so? How should society decide?

Answers

A. Should corporations and individual consumers bear joint responsibility for sustaining the environment? Why or why not?

Yes, both corporation and individual consumers should share the responsibility of protecting the environment. Businesses have a huge impact on the environment through their operations, production process and product or service they offer. While, individual consumers contribute to environmental degradation through their consumption patterns. Therefore, both the parties needs to work together to reduce their environmental impact and promote sustainability.

B. What obligation does each of us have to be aware of our own carbon footprint?

Each individual has an obligation to be aware of our own carbon footprint and to take necessary actions to reduce it. This includes  such as being mindful of our energy use, transportation choices, and consumption patterns. By reducing our carbon footprint, we can help to reduce the impacts of climate change and protect the environment.

C. If individual consumers have some obligation to support environmentally friendly technologies, should all consumers bear this responsibility equally? Or just those with the economic means to do so? How should society decide?

All consumers should have some responsibility to support green and sustainable technology, but the degree of that responsibility may vary according to their economic capacity. Each one of us can contribute to change in their daily life regardless of economic status. Societies can choose how to distribute this responsibility through government policies, market mechanisms and social norms

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Which of the following statements about the cost of capital is false?

a) As the firm raises more and more capital, market efficiency would indicate that the firm’s marginal weighted-average cost of capital should fall.

b) If the firm needs more funding than can be supported by retained earnings, the firm’s weighted-average cost of capital (WACC. will increase.

c) Assuming constant risk, the firm’s marginal WACC is the correct discount rate to use in making capital budgeting decisions.

d) If a firm earns exactly the marginal cost of capital on its new investment projects, it will satisfy the return requirements of its creditors and equity investors.

Answers

The false statement about the cost of capital is as the firm raises more and more capital, market efficiency would indicate that the firm’s marginal weighted-average cost of capital should fall. Option a is correct.

The cost of capital is the amount of money a company must spend to finance its operations. The cost of capital reflects the cost of all forms of financing, such as equity, debt, and preferred stock. The cost of capital is calculated by weighting the cost of each form of capital by its relative weight in the company's capital structure.

The weighted cost of capital (WACC) is the weighted average of the cost of each form of capital. A firm's cost of capital is a crucial financial metric. It is used in capital budgeting decisions to assess the financial feasibility of projects and determine the required rate of return. It's also utilized to determine the present value of future cash flows.

Therefore, a is correct.

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What are the three forms of business organization.
Why is it easier for a corporation to raise large amounts of capital than it is for a partnership ?
What are the similarities and differences differences in equity structure for :
sole proprietorship, a partnership, and a corporation ?
What is a LLC. What is its advantages/disadvantages and specific limitations?
What prompted Congress in 1930’s to press the Securities Act of 1934. Describe the purpose of the act.

Answers

1. Forms of business: sole proprietorship, partnership, corporation.

2. Corporation raises more capital than partnership.

3. Equity structure: similarities and differences in sole proprietorship, partnership, corporation.

4. LLC advantages: limited liability, flexibility; limitations: formation requirements, taxes.

5. Securities Act of 1934: response to market crash, regulates securities, protects investors.

How does the balance sheet work?

1. The three forms of business organization are sole proprietorship, partnership, and corporation.

2. It is easier for a corporation to raise large amounts of capital than it is for a partnership because a corporation can issue stocks and bonds to investors, whereas a partnership relies on the personal funds of its partners and limited partners.

3. The similarities in equity structure for a sole proprietorship, partnership, and corporation include ownership interest and the potential for financial gain. However, the differences lie in the liability and management structure. Sole proprietors have unlimited liability and full control, partnerships have shared liability and management, and corporations have limited liability and a board of directors.

4. LLC stands for Limited Liability Company. Its advantages include limited liability protection for owners, flexible management structure, and pass-through taxation. Disadvantages may include complex formation requirements and potential self-employment taxes. Specific limitations can vary by jurisdiction but commonly involve restrictions on certain professional services.

5. The Securities Act of 1934 was prompted by the stock market crash of 1929 and subsequent Great Depression. The purpose of the act was to regulate securities markets and provide investor protection by requiring companies to disclose accurate financial information and adhere to fair trading practices.

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A UK company expects to receive Euro 800,000 in three months. The current spot exchange rate is GBP 1 = Euro 1.250, and the three-month forward exchange rate is GBP 1 = Euro 1.239. Annual interest rates for 3-month deposit and borrowing in GBP are 5.0% and 7.5%, respectively. Annual interest rates for 3-month deposit and borrowing in Euro are 1.0% and 3.0%, respectively. Required:

1) Design a money market hedge for the UK company. Determine the synthetic forward exchange rate.

2) If the company use a currency forward to hedge the foreign currency risk, should the company buy or sell the forward on Euro? What are the cash flows from the forward contract if it is deliverable?

Answers

Design a money market hedge for the UK company. Determine the synthetic forward exchange rate. Calculation of Money Market Hedge:

Conversion of Euros to Pounds - Spot Exchange Rate: \

1 Euro = GBP  1.25

Number of Euros that will be received in three months = Euro 800,000 Forward Exchange Rate:

1 Euro = GBP 1.239

If the UK company does not use a money market hedge, it will receive: = Euro 800,000 / 1.25 = GBP 640,000 If the UK company employs a money market hedge, it will receive: = Euro 800,000 / 1.01 (1+0.05×(3/12)) = GBP 630,942.81 Synthetic Forward Exchange Rate: = 630,942.81 / 800,000 = GBP 0.788678) / Euro 1.2) If the company uses a currency forward to hedge the foreign currency risk, it should sell the forward on Euro.

The cash flows from the forward contract if it is deliverable: = (Forward rate – Spot rate) × Notional amount = (GBP 0.788678 / Euro – 1.250 / Euro) × Euro 800,000 = -GBP 6,169.27 (this means that the UK company will receive GBP 6,169.27 on selling the forward) In brief, if the UK company employs a money market hedge, it should receive Euro 800,000 / 1.01 (1+0.05×(3/12)) = GBP 630,942.81. If the company uses a currency forward to hedge the foreign currency risk, it should sell the forward on Euro, and the cash flows from the forward contract if it is deliverable will be -GBP 6,169.27. The synthetic forward exchange rate for the UK company is GBP 0.788678 / Euro 1.

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Suppose the price elasticity of demand for toys manufactured by firms Alpha, Beta, Charlie, and Delta are 0.2, 0.72, 1.0, and 1.3 respectively. The demand for toys will be elastic for: ________-

Answers

Suppose the price elasticity of demand for toys manufactured by firms Alpha, Beta, Charlie, and Delta are 0.2, 0.72, 1.0, and 1.3 respectively. The demand for toys will be elastic for: Delta

The demand for toys will be elastic when the price elasticity of demand is greater than 1. This means that a 1% change in price will result in a more than 1% change in quantity demanded.

Looking at the given price elasticities of demand:

Alpha has a price elasticity of demand of 0.2 (inelastic)

Beta has a price elasticity of demand of 0.72 (inelastic)

Charlie has a price elasticity of demand of 1.0 (unitary elastic)

Delta has a price elasticity of demand of 1.3 (elastic)

Among the given options, the demand for toys will be elastic for Firm Delta (Delta) since its price elasticity of demand is greater than 1 (specifically, it is 1.3).

Therefore, the demand for toys will be elastic for Firm Delta.

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E = E= + KE + PE E = E0 + KE - PE The kinetic energy of an object of mass m is equal to its test energy. What is the magnitude p of the object's momentum ? p = mc p = 2mc p = 4mc p = mc p = 3mc which of the following statements regarding limited liability companies is false? multiple choice state laws do not limit the number of members or the type of entity that can be a member in an llc. every member of an llc has limited liability for the llc's debts. an llc with more than one member is generally treated as a partnership for income tax purposes. an llc with only one member is generally treated as a corporation for income tax purposes. an irs-allowed reduction in your income for yourself, your spouse, and any dependents that is subtracted before you compute your taxes is called a(n) a) itemized exemptions. b) standard exemptions. c) marital exemptions. d) personal exemptions. Assume that gasoline is sold in a perfectly competitive industry. In some state, absent any gasoline taxes, the gasoline price would be $4.00 per gallon and 10 billion gallons would be sold per year. Economists have estimated supply and demand functions for gasoline, using linear estimations of supply and demand curves. They estimate that the supply price of gasoline (the marginal cost) increases by $0.10 per gallon for every increase in sales of 1 billion gallons per year. They estimate that in the long run, the demand for gasoline would decline by 0.5 billion gallons per year for every $1.00 per gallon increase in the price of gasoline. Analysts have identified a set of externalities associated with using gasoline, including safety costs of additional driving, environmental impacts, and energy security impacts. Assume that they estimate all these externalities as having a total value of $1.00 per gallon of gasoline. State planners are examining how large should be the gasoline tax in the state. In their planning and your analysis you should ignore any second-best problems associated with other pre-existing taxes. a) (10 points) Show that a gasoline tax of $1.00 per gallon would lead to an economically efficient use of gasoline, if that tax were costlessly redistributed back to the economy. b) (10 points) What is the dollar value of the welfare gain that could be achieved by imposing the economically efficient gasoline tax, in comparison to having no tax at all? c) (5 points) If the producer of the commodity were charged a $1.00 per gallon excise tax, how much tax would be collected per year? d) (10 points) Assume now that all the gasoline tax revenues are always spent on highway construction, but that the benefit to society of such construction is equal to 80% of its cost. Is total welfare increased or decreased by the joint implementation of the $1.00 tax and the expenditure program? Show a numeric answer and give an explanation for your answer. e) (10 points) Describe two other policy alternatives to a gasoline tax to correct for the externalities. Briefly discuss the advantages and disadvantages compared to the tax of implementing your proposed policies. A manufacturing company employs two devices to inspect output for quality control purposes. The first device can accurately detect 99.2% of the defective items it receives, whereas the second is able to do so in 99.5% of the cases. Assume that five defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Assume that the devices are independent. Find: a. fy|2(y) Y fyiz(y) 0 1 2 3 b. E(Y|X=2)= and V(Y/X=2)= 4. 20pts Consider A random sample of 150 in size is taken from a population with a mean of 1640 and unknown variance. The sample variance was found out to be 140. a. Find the point estimate of the population variance W b. Find the mean of the sampling distribution of the sample mean