. A two-runway (one runway dedicated to landing, one runway for dedicated to taking off) airport is being designed for propeller-driven aircraft. The average time to land an airplane is known to be 1.5 minutes with a standard deviation of 0.75 minutes. Assume that the airplanes arrivals are assumed to occur at random with exponentially distributed inter-arrival times. with average service time of 1.5 minutes. Based on the information above, answer the following questions: (a) Calculate the average waiting times and average numbers of airplanes waiting for landing for various values of arrival rates (from relatively small values to close to the service rate) and plot them as functions of the arrival rate. What arrival rate(s) would you recommend for based on plots? [Feel free to use MS Excel, MATLAB, or other computer tools to answer this part.] (b) Show that the arrival rate must be no greater than 0.5079 per minute so that the average waiting time in the sky is not to exceed 3 minutes. (c) Under the arrival rate specified in (b), show that the average number airplanes waiting in the sky for landing is 1.52 aircrafts?

Answers

Answer 1

The recommended arrival rate should minimize the average waiting time and number of airplanes waiting. It must not exceed 0.5079 per minute to keep waiting time below 3 minutes. There is 1.52 aircrafts are waiting .

(a) To calculate the average waiting times and average numbers of airplanes waiting for landing, we can use queuing theory. Specifically, we can model the system as an M/M/1 queue, where arrivals are exponentially distributed and the service rate is constant.

Using the formula for the average waiting time in an M/M/1 queue, we can calculate the waiting times and average number of airplanes waiting for landing for various arrival rates. We can plot these values as functions of the arrival rate.

Based on the plots, we would recommend an arrival rate that minimizes the average waiting time and average number of airplanes waiting for landing. This would be the arrival rate that balances the demand for landing with the capacity of the airport, ensuring efficient operations without excessive waiting times.

(b) To show that the arrival rate must be no greater than 0.5079 per minute for an average waiting time in the sky not to exceed 3 minutes, we use Little's Law, which states that the average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system.

Given that the average waiting time is 3 minutes and using Little's Law, we can calculate the maximum arrival rate as arrival rate ≤ (average number of airplanes waiting)/(average waiting time). Substituting the values, we find that the arrival rate ≤ 1/3 ≈ 0.5079 per minute.

(c) Under the arrival rate specified in (b), we can use Little's Law again to show that the average number of airplanes waiting in the sky for landing is 1.52 aircraft. The average number of airplanes waiting is equal to the arrival rate multiplied by the average waiting time.

Using the arrival rate of 0.5079 per minute and the average waiting time of 3 minutes, we find that the average number of airplanes waiting is 0.5079 * 3 = 1.52 aircrafts.

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Related Questions

Lizard company purchased 1,300 pounds of direct materials on account at $2.40 per pound. The standard price for direct materials is $2.00 per pound. Prepare the journal entry to record the purchase and the variance.

Answers

The journal entry to record the purchase of direct materials and the variance for Lizard Company would be as follows:

To record the purchase of direct materials on account:

Debit: Direct Materials Inventory $3,120 (1,300 pounds * $2.40 per pound)

Credit: Accounts Payable $3,120

To record the direct materials price variance:

Debit: Direct Materials Price Variance $520 ($2.40 per pound - $2.00 per pound) * 1,300 pounds

Credit: Direct Materials Inventory $520

The first entry records the purchase of 1,300 pounds of direct materials on account. The Direct Materials Inventory account is debited for the total cost of $3,120, representing the actual quantity purchased at the actual price.

The second entry records the direct materials price variance, which reflects the difference between the standard price and the actual price. In this case, the actual price is $2.40 per pound, while the standard price is $2.00 per pound. The Direct Materials Price Variance account is debited for the unfavorable variance amount of $520, indicating that the actual price paid was higher than the standard price. The Direct Materials Inventory account is credited with the same amount to offset the impact on inventory.

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the _____ is the majority-party senator with the longest senate service.

Answers

The President pro tempore is the majority-party senator with the longest senate service. The President pro tempore is a high-ranking position in the United States Senate

. The role is traditionally given to the most senior member of the majority party in the Senate. This individual serves as the presiding officer in the absence of the Vice President, who is the official President of the Senate. The President pro tempore is responsible for maintaining order and overseeing proceedings on the Senate floor.

The selection of the President pro tempore is based on seniority, with the majority-party senator who has served the longest in the Senate assuming the position. This arrangement ensures continuity and stability within the Senate. The President pro tempore may also perform other administrative duties and is typically considered an influential and respected member of the Senate.

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Stellar Corporation enters into a 7-year lease of equipment on December 31, 2019, which requires 7 annual payments of $37,500 each, beginning December 31, 2019. In addition, Stellar guarantees the lessor a residual value of $18,700 at the end of the lease. However, Stellar believes it is probable that the expected residual value at the end of the lease term will be $9,350. The equipment has a useful life of 7 years. Prepare Stellars' December 31, 2019, journal entries assuming the implicit rate of the lease is 9% and this is known to Stellar. (Credit account titles are automatically indented when amount is entered. Do not indent manually. For calculation purposes, use 5 decimal places as displayed in the factor table provided and round final answers to 0 decimal places e.g. 5,275). count Titles and Explanation _____ Debit _____ Credit _____

Answers

The journal entries for Stellar Corporation on December 31, 2019, regarding the lease of equipment are as follows:

To record the lease liability:

Lease Liability $190,092.25

Lease payable $190,092.25

Calculation:

Present value of lease payments:

$37,500 * [(1 - (1 + 0.09)^-7) / 0.09] = $190,092.25

To record the right-of-use asset:

Right-of-Use Asset $190,092.25

Lease Liability $190,092.25

To record the residual value guarantee:

Lease Liability $9,350.00

Residual Value Guarantee $9,350.00

Note: The residual value guarantee is recorded at the lower of the guaranteed residual value or the expected residual value.

The journal entries reflect the recognition of the lease liability and right-of-use asset based on the present value of lease payments using the implicit interest rate of 9%. Additionally, the residual value guarantee is recorded based on the expected residual value at the end of the lease term.

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Coach Industries is considering a new investment project. The project will cost $100,000 and it will last 5 years. The project will have a salvage value of $10,000 at the end of the 5 year life. During the life of the project, it will have the following cash inflows - cash outflows (assume at year end):
Yr1 20,000
Yr 2 30,000
Yr 3 40,000
Yr 4 35,000
Yr 5 25,000
1. What is the accounting rate of return? (hint: don't forget depreciation) (round to the nearest .1% and show answers as decimals so 9.5% = .095
2. What is the payback period?
3. If Coach has a required rate of return of 10%, what is the NPV? Round to the nearest $1 (hint: don't forget the salvage value)
4. What is the IRR? (round to the nearest .1%, and remember to show as a decimal so 11.1% = .111
5. You want to be a millionaire by the age of 55. You want to start saving at age 25 (so you will make 30 annual deposits, assuming at the end of the year). If you can earn 8% interest, how much will you need to save each year to reach the goal of $1 Million if you start with $0 at the time you begin saving. Be sure to use Excel to make this easy.

Answers

1. The accounting rate of return is 66.67%. 2. The payback period is approximately 3.375 years. 3. The NPV is approximately $9,195. 4. The IRR is approximately 14.5%. 5. You would need to save approximately $9,394 per year to reach the goal of $1 million by the age of 55.

1. To calculate the accounting rate of return (ARR), we need to determine the average annual net income and divide it by the average investment.

First, let's calculate the average annual net income:

Average Annual Net Income = (Year 1 Net Income + Year 2 Net Income + Year 3 Net Income + Year 4 Net Income + Year 5 Net Income) / Number of years

Average Annual Net Income = ($20,000 + $30,000 + $40,000 + $35,000 + $25,000) / 5

Average Annual Net Income = $30,000

Next, let's calculate the average investment:

Average Investment = (Initial Investment - Salvage Value) / 2

Average Investment = ($100,000 - $10,000) / 2

Average Investment = $45,000

Now, let's calculate the accounting rate of return:

ARR = Average Annual Net Income / Average Investment

ARR = $30,000 / $45,000

ARR ≈ 0.6667 or 66.67% (rounded to the nearest 0.1% and shown as a decimal)

2. The payback period is the length of time it takes to recover the initial investment. To calculate the payback period, we sum the cash inflows until they equal or exceed the initial investment.

Payback Period = Years until full recovery + (Remaining Investment / Cash Inflow in Year of Full Recovery)

In this case, the payback period will be less than 3 years since the cash inflows will fully recover the initial investment by Year 3. To find the exact payback period, we calculate:

Payback Period = 3 + ($15,000 / $40,000)

Payback Period ≈ 3.375 years

Therefore, the payback period is approximately 3.375 years.

3. To calculate the net present value (NPV), we discount each cash flow to its present value and sum them up. The required rate of return is 10%.

NPV = (Cash Inflow Year 1 / (1 + r)^1) + (Cash Inflow Year 2 / (1 + r)^2) + ... + (Cash Inflow Year 5 / (1 + r)^5) + (Salvage Value / (1 + r)^5) - Initial Investment

NPV = ($20,000 / (1 + 0.10)^1) + ($30,000 / (1 + 0.10)^2) + ($40,000 / (1 + 0.10)^3) + ($35,000 / (1 + 0.10)^4) + ($25,000 / (1 + 0.10)^5) + ($10,000 / (1 + 0.10)^5) - $100,000

Calculating the NPV using a financial calculator or spreadsheet, we find:

NPV ≈ $9,195 (rounded to the nearest $1)

Therefore, the NPV is approximately $9,195.

4. The internal rate of return (IRR) is the discount rate that makes the NPV of the project equal to zero. To calculate the IRR, we find the discount rate that satisfies this condition.

Using a financial calculator or spreadsheet, we find:

IRR ≈ 14.5% (rounded to the nearest 0.1% and shown as a decimal)

Therefore, the IRR is approximately 14.5%.

5. To calculate the annual deposit needed to reach the goal of $1 million by the age of 55, we can use the future value of an ordinary annuity formula:

Annual Deposit = (Future Value / ((1 + r)^n - 1)) * (1 + r)

Where:

Future Value = $1 million

r = 8% (interest rate)

n = 30 years (number of annual deposits)

Using a financial calculator or spreadsheet, we find:

Annual Deposit ≈ $9,394 (rounded to the nearest dollar)

Therefore, you would need to save approximately $9,394 per year to reach the goal of $1 million by the age of 55.

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Thank you for your response. What I need to know is WHY did you multiply revenue x initial exchange rate divided by ending exchange rate? Could you please clarify? I need to understand the reasoning behind it. Are there any references that you might have that are useful? Thanks

Answers

Revenue multiplied by initial exchange rate and divided by ending exchange rate is used to calculate revenue in terms of a common currency when dealing with exchange rates.

Multiplying revenue by the initial exchange rate gives the revenue in the foreign currency, while dividing it by the ending exchange rate gives the revenue in the domestic currency. This calculation is used to compare financial statements in different currencies. The reason for using this calculation is to account for the effects of exchange rate changes on a company's financial statements when transactions are made in different currencies.Example:Let's say a U.S.-based company earned $100,000 in revenue from a foreign subsidiary, and the initial exchange rate was $1.25 per euro. However, the exchange rate changed to $1.10 per euro by the end of the accounting period. To calculate the revenue in U.S. dollars, you would multiply the revenue by the initial exchange rate: $100,000 x 1.25 = €125,000. Then, divide by the ending exchange rate to get the revenue in U.S. dollars: €125,000 ÷ 1.10 = $113,636.36. This calculation shows the impact of currency exchange rate fluctuations on the company's financial statements. Without the calculation, it would be difficult to compare the company's financial performance from year to year, or compare it to other companies in the same industry who use different currencies. Therefore, this calculation is useful for financial analysts, investors, and other stakeholders. You may find more information on this calculation from various websites that provide details on currency exchange rates.

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please show all work
Three years ago, ChemLab, Inc. invested \( \$ 1,440,000 \) in a certificate of deposit that paid compound interest of \( 9.14 \% \) per year. Now the company plans to invest the total amount accrued i

Answers

To calculate the total amount accrued after three years, we can use the compound interest formula:

A = P * (1 + r/n)^(n*t)

Where:

A = Total amount accrued

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

Given:

P = $1,440,000

r = 9.14% = 0.0914

n = 1 (compounded annually)

t = 3 years

Substituting these values into the formula:

A = 1,440,000 * (1 + 0.0914/1)^(1*3)

≈ 1,440,000 * (1.0914)^3

≈ 1,440,000 * 1.292674444

≈ 1,860,172.77

Therefore, the total amount accrued after three years is approximately $1,860,172.77.

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The Length of time a firm must wait to recoup, in present value terms, the money invested in a new project is called: 1) discounted payback period 2) discounted profitability period 3) net present value period 4) payback period

Answers

The discounted payback period refers to the length of time it takes for a firm to recover its initial investment in a project in terms of the present value of cash flows. It takes into account the time value of money by discounting the cash flows to their present value. The discounted payback period considers the cash flows beyond the payback period and evaluates their present value to determine when the initial investment is recovered.

The discounted payback period is a financial metric that measures the time it takes for a firm to recoup its initial investment in a project in present value terms. It is an extension of the traditional payback period, which only considers the time required to recover the initial investment without considering the time value of money.

In the discounted payback period, the cash flows generated by the project are discounted back to their present value using an appropriate discount rate. The discount rate reflects the opportunity cost of capital and accounts for the fact that a dollar received in the future is worth less than a dollar received today.

By considering the present value of cash flows, the discounted payback period provides a more accurate measure of the time it takes for a project to generate positive net present value (NPV). The NPV represents the value that the project adds to the firm's wealth after accounting for the time value of money.

The discounted payback period helps evaluate the risk and profitability of a project. A shorter payback period indicates a quicker recovery of the initial investment and potentially lower risk. On the other hand, a longer payback period may indicate higher risk or a project that takes more time to generate positive returns.

It is important to note that the discounted payback period does not explicitly consider the profitability of the project beyond the payback period. To assess the overall profitability of a project, other metrics such as the net present value (NPV) or internal rate of return (IRR) should be used in conjunction with the discounted payback period.

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Limit price distribution becomes very complex when three sources
of entry barrier are taken together, discuss in detail. Also
discuss the Bain’s six possible expectations of entrant firm.[10
Marks]

Answers

Limit price distribution refers to a situation where the incumbent companies operating in a particular industry work together to set a minimum price for the products they offer. As a result, the entrants face challenges to enter the market due to the higher price of entry.

The limit price is a significant entry barrier for the new firms as they need to compete with the incumbents to attract customers. When three sources of entry barriers are taken together, the limit price distribution becomes more complex. The three sources of entry barriers are:1. Economic of Scale: It is a cost advantage for the incumbent companies that make their prices lower than the new entrants. 2. Access to distribution channels: It is the difficulty faced by new firms to distribute their products to the customers due to the presence of established networks.3. Capital requirement: It is the amount of money required to start a business. This becomes an entry barrier when the required capital is higher than the available funds. Bain’s six possible expectations of the entrant firm are:1. The entrant may expect to gain a substantial share of the market immediately

2. The entrant may expect a slow but steady growth in its market share.3. The entrant may expect a quick exit from the market.4. The entrant may expect to become an acquisition target of the incumbent firms.5. The entrant may expect to receive a high return on investment6. The entrant may expect to disrupt the market and make a significant change in the market structure. Overall, when taken together, these entry barriers can create complex and challenging conditions for new entrants in an industry. It becomes difficult for them to establish themselves and compete with the incumbents.

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What are two of the most important or interesting responses of
former Chief Justice McLachlin regarding her tenure on the SCC and
why?

Answers

The most important or interesting responses of former Chief Justice McLachlin regarding her tenure on the SCC were Approach to Constitutional Interpretation and Commitment to Access to Justice.

Beverley McLachlin served as the Chief Justice of Canada from 2000 to 2017, making her the longest-serving Chief Justice in Canadian history. Throughout her tenure on the Supreme Court of Canada (SCC), she made several important and interesting responses. While it's challenging to narrow down her responses to just two, here are two significant aspects of her tenure and corresponding responses that stand out:

Approach to Constitutional Interpretation:

Chief Justice McLachlin's approach to constitutional interpretation focused on balancing individual rights and societal interests. She believed in a living tree interpretation of the Canadian Constitution, emphasizing the need to adapt its interpretation to evolving societal values and expectations.

McLachlin emphasized the importance of considering the context, purpose, and underlying principles of the Constitution in her decisions. This approach was evident in cases such as R v. Morgentaler (1988), where she advocated for a broader understanding of women's reproductive rights.

Commitment to Access to Justice:

Chief Justice McLachlin was dedicated to improving access to justice for all Canadians, particularly marginalized and disadvantaged groups. She recognized the challenges faced by individuals in navigating the legal system and sought to address them. During her tenure, she initiated various reforms aimed at improving access to justice, such as promoting alternative dispute resolution methods and simplifying court procedures.

Overall, Chief Justice McLachlin's responses and contributions on the SCC demonstrated her commitment to constitutional interpretation that balances individual rights and societal interests, as well as her dedication to improving access to justice for all Canadians. These aspects of her tenure highlight her significant impact on Canadian jurisprudence and her lasting legacy as a respected jurist.

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24 of 100 Suppose that there is a freeze in California that damages the avocado crop. The effect on the market for avocados will be a of the supply curve and a(n) in the equilibrium price. leftward shift; decrease leftward shift; increase a rightward shift; increase rightward shift; decrease

Answers

The freeze in California that damages the avocado crop would reduce the supply of avocados. This is because there will be fewer avocados available in the market due to the damage caused by the freeze.

Therefore, the effect on the market for avocados will be a leftward shift of the supply curve. The leftward shift represents a decrease in supply, which means that producers are offering less of the product at any given price.

Since the demand for avocados is relatively stable, with no significant changes expected due to the freeze, the decrease in supply will result in an increase in the equilibrium price of avocados. This is because consumers will now have to pay more to purchase the same quantity of avocados as before, due to the decrease in supply.

So the correct option is: a leftward shift; increase.

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Find the value of total assets, given the following
information: total debt ratio = 0.25; total equity = $435,000.
You are a financial manager for Shah Corporation. The CEO of the
firm asked you to c

Answers

The value of total assets can be calculated using the total debt ratio and total equity information provided. The total debt ratio represents the proportion of a company's assets that are financed by debt. Since the total debt ratio is given as 0.25, it means that 25% of the assets are financed by debt, and the remaining 75% is financed by equity.

To calculate the value of total assets, we can use the formula:

Total Assets = Total Equity / (1 - Total Debt Ratio)

Using the given information:

Total Equity = $435,000

Total Debt Ratio = 0.25

Plugging the values into the formula:

Total Assets = $435,000 / (1 - 0.25)

Total Assets = $435,000 / 0.75

Total Assets = $580,000

Therefore, the value of total assets for Shah Corporation is $580,000.

In the explanation, it is important to highlight that the total debt ratio represents the proportion of a company's assets that are financed by debt, while the remaining portion is financed by equity. By using the formula mentioned above, we can calculate the value of total assets. The total debt ratio is subtracted from 1 to represent the equity portion of assets. Dividing the total equity by (1 - total debt ratio) gives us the value of total assets. In this case, the calculation results in a total asset value of $580,000. This information is useful for financial analysis and evaluating the company's capital structure.

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Indicate in which of the three categories Preferred shares issued for cash should appear:
• cash flows from investing activities
• not part of the cash flow statement (direct method)
• cash flows from operating activities (direct method)
• None of the other alternatives are correct
• cash flows from financing activities

Answers

Preferred shares issued for cash should appear under cash flows from financing activities section in the cash flow statement. A cash flow statement is a financial report that provides a summary of a company's financial flows over a defined time span.

This report examines the company's income, expenses, and capital flows over the reporting period. A cash flow statement classifies a company's financial activities into three main categories: operating activities, investing activities, and financing activities. Preferred shares are hybrid securities that have qualities of both equity and debt.

The preferred stock usually pays a predetermined dividend and is less volatile than common stock, which means it is often seen as a lower-risk investment choice. Preferred stock can be bought, sold, and traded like regular stock, but it does not have the same voting rights as common stock.

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1. Quality management including TQM is the development of a Just in time approach that advocates, among other things, the demand and aspiration for proper production immediately in the first execution and the reduction of the "garbage plant".
2. According to the principle of the complete kit, it is possible to start the production before the organization holds in its hands the complete kit needed to create, with all its components, in order not to delay the production process.
3. At target cost, in the Western approach, the organization sets for the various units in which the high standards are achievable standards.
4. Target pricing is used in short-term decision making only.
Which of the above statements is true?
Just say 1.
Only statements 1, 2 and 3.
Just say 2 and 4.
All the sayings
Only statements 1, 3

Answers

The correct statements are 1 and 3. Statement 1 is true as it describes the concept of Just-in-Time (JIT) approach, which is a part of Total Quality Management (TQM).

JIT emphasizes producing the right amount of products at the right time, reducing waste, and improving efficiency. Statement 3 is also true as target cost in the Western approach refers to setting achievable cost standards for different units or products. This approach focuses on designing products and processes that meet customer expectations while achieving the desired cost levels. On the other hand, statement 2 is incorrect as the principle of the complete kit suggests waiting for all necessary components before starting production to avoid disruptions and delays. Statement 4 is also incorrect as target pricing is used not only in short-term decision making but also in long-term strategic pricing decisions.

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Consumer Behavior Professionals Are Interested In The Consumer Perspective Or The Marketer Perspective, Not Both. True False
Consumer behavior professionals are interested in the consumer perspective or the marketer perspective, not both.
True
False

Answers

False. Consumer behavior professionals are interested in both the consumer perspective and the marketer perspective. Consumer behavior is a study of consumers' actions and decision-making processes when selecting, buying, using, and discarding goods, services, concepts, or experiences to fulfill their wants and needs. However, the perspectives of consumers and marketers may differ. Marketers focus on creating and selling goods and services that meet consumers' needs and wants, while consumers are more interested in obtaining satisfaction and value from their purchases. Therefore, consumer behavior professionals must be interested in both the consumer perspective and the marketer perspective to understand how these two sides can be brought together to create successful marketing strategies. In conclusion, consumer behavior professionals need to understand and analyze both the consumer perspective and the marketer perspective. Hence the given statement is False.

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These aggrieved employees have now come and see you, an HR consultant to seek your advice on the following matters:
Do companies have the right to retrench employee when they face financial difficulties or when they do a restructuring? What should or should not be done by Manisan Sdn Bhd when the company wishes to retrench employees? Explain and relate your answer to the above scenario.
(10 marks)
Based on your answer in Question 1 above, explain whether the termination of Anthony, Jamal, Hock Tai and Nora was done properly and with just cause and excuse. (5 marks)
If Anthony, Jamal, Hock Tai and Nora are not satisfied with their termination, what can they do? Describe

Answers

Regarding the right to retrench employees during financial difficulties or restructuring Companies generally have the right to retrench employees

restructuring. However, there are legal and ethical considerations that must be taken into account to ensure fair and proper treatment of employees. In the case of Manisan Sdn Bhd, it is important to follow certain guidelines and practices when undertaking retrenchment: Compliance with labor laws: The company should adhere to the labor laws and regulations of the country in which it operates. These laws typically outline the conditions and procedures for retrenchment, including provisions for notice periods, severance pay, and consultation with employee representatives or unions. Justification and fairness: The company should have valid reasons for retrenchment, such as genuine , the company should communicate openly and transparently with employees, providing clear information about the reasons, process, and potential outcomes. Consultation with affected employees or their representatives can help explore alternatives, minimize negative impacts, and ensure a fair process.

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Some economists believe that the lack of well-developed
financial markets is one of the reasons developing-country
economies grow slowly.
Do you agree or disagree, and why?

Answers

The Numerous economists contend that the absence of sophisticated financial markets in developing nations can actually impede economic growth. These arguments in favour of this viewpoint are as follows:

1. Limited access to capital: Strong financial markets offer means for people and companies to readily and affordably access capital. They prevent investment and entrepreneurship, which are essential for economic progress, because it becomes difficult to secure finance without them.2. Inefficient resource allocation: Financial markets that have developed make it possible to allocate money effectively by directing funding towards profitable industries and endeavours. Without these markets, resources can be misallocated, resulting in less-than-ideal utilisation and slower growth.

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definition to the word below in econ 302
aggregate supply
the paradox of savings
marginal propensity to expend
balanced budget
budget deficit
budget surplus
contractionary fiscal policy
corporate tax
crowding out
discretionary fiscal policy
estate and gift tax
excise tax
expansionary fiscal policy
individual income tax
marginal tax rates
payroll tax
progressive tax
regressive tax

Answers

Aggregate supply: The total amount of goods and services produced in an economy at a given price level. The paradox of savings: When increased saving, intended to be beneficial, leads to a decrease in aggregate demand and can result in economic downturns. Marginal propensity to expend: The portion of additional income that individuals choose to spend rather than save. Balanced budget: When government spending equals government revenue in a given period.

Aggregate Supply: Aggregate supply refers to the total amount of goods and services that all firms in an economy are willing and able to produce and supply at different price levels over a specific period of time. It represents the relationship between the overall level of prices in the economy and the total quantity of output supplied.

The Paradox of Savings: The paradox of savings refers to a situation where an increase in saving rates by individuals or households can lead to a decrease in overall aggregate demand and economic growth. This occurs because when individuals save more, they tend to spend less on consumption, which can result in decreased demand for goods and services, potentially leading to a decline in production and employment.

Marginal Propensity to Expend: The marginal propensity to expend (MPE) is a measure of how much an individual or a household will spend out of an additional unit of income. It represents the change in consumption resulting from a change in income. It is calculated as the ratio of the change in consumption to the change in income.

Balanced Budget: A balanced budget refers to a situation where government expenditures are equal to government revenues in a given period. In other words, it occurs when the government's total spending, including both spending on goods and services and transfer payments, is equal to the total tax revenue and other sources of government income.

Budget Deficit: A budget deficit occurs when a government's expenditures exceed its revenues within a specific period, typically a fiscal year. It represents the shortfall between the government's spending and its income from taxes, fees, and other sources. A budget deficit is often financed through borrowing, which can lead to an increase in government debt.

Budget Surplus: A budget surplus refers to a situation where a government's revenues exceed its expenditures within a specific period. It occurs when the government's income, primarily from taxes, fees, and other sources, exceeds its spending on goods and services and transfer payments. A budget surplus can help reduce government debt or be used for other purposes such as saving or investment.

Contractionary Fiscal Policy: Contractionary fiscal policy refers to government actions, typically involving a decrease in government spending and/or an increase in taxes, aimed at reducing aggregate demand in the economy. It is used to slow down economic growth, control inflation, or address budget deficits.

Corporate Tax: Corporate tax is a tax levied on the profits earned by corporations or businesses. It is usually based on the company's taxable income, which is calculated by subtracting allowable deductions and expenses from the total revenue. Corporate taxes contribute to government revenues and can affect business investment and behavior.

Crowding Out: Crowding out refers to a situation where increased government borrowing to finance budget deficits reduces the availability of funds for private investment. When the government competes for funds in the financial markets, it can lead to higher interest rates, making it more expensive for businesses and individuals to borrow, thus reducing private sector investment.

Discretionary Fiscal Policy: Discretionary fiscal policy refers to deliberate changes in government spending and taxation that are implemented by policymakers to stabilize the economy or address specific economic conditions. It involves active decisions by the government to influence aggregate demand and stabilize the economy, typically through changes in government spending or taxes.

Estate and Gift Tax: Estate and gift tax refers to taxes imposed on the transfer of wealth from one person to another, typically upon the death of the estate owner or when making significant gifts during their lifetime. These taxes are levied on the total value of the estate or the value of the gift and are often progressive, meaning that higher-value estates or gifts are subject to higher tax rates.

Regressive Tax: A regressive tax is a tax system in which the tax rate decreases as the taxable income or wealth of an individual or household increases. In other words, lower-income individuals or households pay a higher proportion of their income in taxes compared to higher-income individuals. Regressive taxes often have a greater impact on low-income individuals or households.

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a company took a loan of 3500000 to implement a project
if loan is paid in 5 payment starting from 6 year to 10 how much is each payment if the interest is 3.5% per year?
if the loan paid in tow installments in 8 and 10 how much is each payment if the interest is 3.25% per year?

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If a company took a loan of 3500000 to implement a project, then:

Each payment for a 5-payment loan, with 3.5% interest per year, paid over 5 years, is approximately $784,422.47.

Each payment for a 2-payment loan, with 3.25% interest per year, paid over 2 years, is approximately $1,798,404.71.

For the first scenario, where a company took a loan of 3500000 to implement a project, and if the loan is paid in 5 payments starting from the 6th year to 10th, then each payment can be calculated using the formula for the present value of an annuity due as: PV = C [(1 - (1 / (1 + r)^n)) / r] x (1 + r) where PV = Present Value of the Annuity C = Regular Payment r = Interest Rate per Period n = Number of Periods (in this case, 5 years)By substituting the given values, we get: PV = 3500000[(1 - (1 / (1 + 0.035)^5)) / 0.035] x (1 + 0.035)≈ $3,922,112.35Therefore, each payment would be:PMT = PV / [(1 + r)^n - 1]≈ $784,422.47 For the second scenario, where the loan is paid in two installments in 8 and 10, and if the interest rate is 3.25% per year, then the present value of the loan would be:PV = 3500000 / [(1 + 0.0325)^8 + (1 + 0.0325)^10]≈ $3,496,809.44Each payment would be:PMT = PV / 2≈ $1,798,404.71 Therefore, each payment for a 2-payment loan, with 3.25% interest per year, paid over 2 years, is approximately $1,798,404.71.

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Business format franchising is best illustrated by the system offered by a. Goodyear Tires. b. Coca-Cola. c. Subway. d. Dr. Pepper. ANS:

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The correct option is option C, Subway.Business format franchising is best illustrated by the system offered by Subway.

Business format franchising is a system where a franchisor offers a business plan and operational model to the franchisee. Business format franchising is the most common franchising system, whereby a franchisor offers a franchisee a complete business format with a specified image and appearance. It includes everything needed to open a business, from advertising materials to employee training.

Business format franchising has the following features:

A franchisee must follow all of the franchisor's operating procedures and policies. In addition, the franchisee must conform to the franchisor's design and image, as well as receive the necessary supplies and services. The franchisee must provide financial support to the franchisor, and in exchange, the franchisor must provide support to the franchisee.

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Suppose that a firm's short-run total cost curve can be expressed as C(Q)=100Q^2 +30Q + 60.
Bajed on this information, the firm's long-run marginal cost is given as: a. MC=200Q+30 b. MC= 1/2 x 100Q−30 =M
c. MC = 10
d. MC=100Q^2

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Given short run total cost curve C(Q)=100Q² + 30Q + 60Now, we can obtain the firm's short run total cost (TC) by using the formula,TC = C(Q) + F,where F is the fixed cost.

Suppose the firm's long run marginal cost is given as MC

= d TC/dQ, then MC

= d/dQ (C(Q) + F),Since the fixed cost remains constant in the short run.

we haveMC = dC(Q)/d QOn differentiating C(Q) with respect to Q, we getC'(Q)

= dC(Q)/dQ = 200Q + 30

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Public debt I) is the total value of all tax revenue in a given year II) is the total value of all outstanding federal government securities III) is the sum of all surpluses over time IV) tends to increase over time II) and IV) I) only II), III), and IV) II) only IV) only

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Public debt is the total value of all outstanding federal government securities. option II) - "is the total value of all outstanding federal government securities" - accurately defines public debt, while the other options do not accurately capture its nature or trends.

Public debt refers to the accumulated borrowing by the government through the issuance of securities such as bonds, Treasury bills, and notes. These securities represent the government's obligation to repay the borrowed funds to the holders of these instruments, including individuals, institutions, and foreign governments.

Therefore, option II) - "is the total value of all outstanding federal government securities" - accurately describes public debt.

Option I) - "is the total value of all tax revenue in a given year" - is incorrect because tax revenue represents the government's income, not its debt. It is the amount of money collected from taxes during a specific period and is used to finance government expenditures.

Option III) - "is the sum of all surpluses over time" - is incorrect as well. Surpluses represent a situation in which government revenues exceed expenditures, resulting in a reduction of the budget deficit or the accumulation of funds to pay down debt.

However, public debt encompasses both deficits and surpluses over time, not just the sum of surpluses.

Option IV) - "tends to increase over time" - is also incorrect. The trend of public debt over time depends on various factors, including government fiscal policies, economic conditions, and debt management strategies. It can increase or decrease depending on the government's borrowing and repayment activities.

In conclusion, option II) is the correct answer.

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Let z, be the observed stock price at time t. Which of the following model(s) is the unit root model? Oa. Z Zt = 1 + 1.12t-1+ et.. Ob. Azt = 1 + 1Zt-1 + et. OcZ = 1 + 0.1zt-1 + et. C. Od. Azt = 1 + 0.1zt-1 + et. O e. Zt = 1 + Zt-1 + et.

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According to the information provided, the model that is a unit root model is Zt = 1 + Zt-1 + et.

The unit root model is given as Zt = Zt-1 + et. The other models are not unit root models. The expression Zt = Zt-1 + et is referred to as a random walk with drift.

The drift implies that there is a long-term growth or decline in the stock price, while the random walk implies that the short-term price changes are unpredictable.

Let us examine each of the models and determine if it is a unit root model:Oa. Z Zt = 1 + 1.12t-1+ et.  This is not a unit root model since there is a time trend in the expression.b. Azt = 1 + 1Zt-1 + et.

This is not a unit root model since the coefficient on Zt-1 is not unity.c. Z = 1 + 0.1zt-1 + et. This is not a unit root model since the coefficient on Zt-1 is not unity.d. Azt = 1 + 0.1zt-1 + et.

This is not a unit root model since the coefficient on Zt-1 is not unity.e. Zt = 1 + Zt-1 + et. This is a unit root model since the coefficient on Zt-1 is unity. It is a random walk with drift.

According to the information provided, the model that is a unit root model is Zt = 1 + Zt-1 + et.

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Cold Drinks Ltd. bottles and distributes 'Cola' brand cold drinks. It operates its distribution division as a cost centre. Budgeted cost for the year ending 31 t March, 2013 is as follows: Cash Operating Costs ------------------------------------₹21,00,000
Depreciation on Fleet of Vehicles (8x₹52,500) --------------₹4,20,000
Approved Corporate Costs --------------------------------₹ 3,00,000
28,20,000
Distribution division has started operation on 1st April, 2011. Each vehicle of the fleat was acouired at a cost of ₹2,40,000 and had an estimated economic life of four years. Salvage value of each vehicle at the end of four years (March 31, 2015) was estimated at ₹30,000. Native Distributors Lid. which has countrywide network for the distribution of food and beverages has offered Cold Drinks ttd. a three year distribution contract for ₹19,50,000 each year. The contract will start on 1st April, 2012. If Cold Drinks Ltd. accepts the offer, it will close down its own distribution division, and will sell the delivery vehicles. Current (April 1, 2012) disposal price of each vehicle is estimafed at ₹ 75,000. Cold Drinks L1d. will avoid cash operating cost of ₹21,00,000. Security analysts have recommended the purchase of share of Cold Drinks Lid. security analysts are forscasting a net profit of ₹6,60,000 for 2012 - 13 as against an estimated Profit of ₹6,30,000 for 2011−12, the forecast assumes that the company will continue operation of its disiribution division.
Required (i) Tabulate a comparison of all relevant cost for next three years (2012 - 13 to 2014 - 15) for the two altematives - use of own distribution division or use of Native distributors Ltd. Recommend whether Cold Drinks Lid. should accept the offer of Native distributors Lid. (ii) Why might Cold Drinks Lid. be reluctant to accept the offer of Native distributors Lid? (ignore income - tax and time value of money. Wherever appropriate, suitable assumption to be made by you?

Answers

Note that table comparing the relevant costs for the next three years (2012-13 to 2014-15) for the two alternatives is attached accordingly.

What is the explanation for the table?

The cost comparison reveals that utilizing Native Distributors Ltd. would save Cold Drinks Ltd. ₹5,30,000 compared to maintaining its own distribution division for the next three years

Despite this, Cold Drinks Ltd. may have reservations about relinquishing control, potential service quality issues, and the impact on its employees.

Ultimately, the decision to accept Native Distributors Ltd.'s offer should be carefully assessed by Cold Drinks Ltd.'s management as it carries strategic implications.

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a. Choose any one country and connect with one or goals of sustainable development (3 marks)
b. Analyze the progression of the country based on the demographic transition model
i. Vicious circle theory (2 marks )
ii. Dependency theory ( 2 Marks )

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a. The country I have chosen is India, which is aiming for Sustainable Development Goal (SDG) 7, which is to ensure universal access to affordable, reliable, sustainable, and modern energy for all. The Indian government has been implementing measures to achieve SDG 7, such as expanding the use of renewable energy and increasing energy efficiency. India's goal is to have 450 gigawatts (GW) of renewable energy by 2030, with a target of 175 GW of installed capacity by 2022, and it has already made significant progress towards achieving this target.

b. Demographic transition is the change in a population's birth and death rates as it transitions from a pre-industrial to an industrialized economy. India's demographic transition can be analyzed using both the Vicious Circle Theory and the Dependency Theory.

i. Vicious Circle Theory: According to this theory, a country's population growth rate increases as a result of poor economic growth, and in turn, the population growth rate slows down economic growth. India has been caught in this cycle, with its population growth rate being the highest in the world, at 1.2% per year, and its economic growth rate being slow. However, this cycle can be broken by investing in education, health care, and family planning.

ii. Dependency Theory: According to this theory, underdeveloped countries like India are dependent on developed countries for aid, technology, and markets for their exports. India has been trying to break free from this dependence by promoting domestic manufacturing, promoting exports, and improving its infrastructure. However, it still has a long way to go before it can become self-sufficient.

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Products Inc., a wholesaler of office products, was organized on February 5 of the current year, with an authorization of 100,000 shares of preferred 1% stock, $60 par and 250,000 shares of $25 par common stock. The following selected transactions were completed during the first year of operations: Journalize the transactions. If an amount box does
Feb. 5. Issued 160,000 shares of common stock at par for cash. Feb. 5. Show Me How Feb. 5. Issued 650 shares of common stock at par to an attorney in payment of legal fees for organizing the corporation. Apr. 9. Issued 23,500 shares of common stock in exchange for land, buildings, and equipment with fair market prices of $110,000, $601,000, and $135,000, respectively.

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The journal entries for the selected transactions of Products Inc. the first year of operations are as follows:- Feb. 5: Debit Cash for the total amount received from issuing 160,000 shares of common stock at par.

- Feb. 5: Debit Legal Fees Expense for the value of 650 shares of common stock issued to the attorney. Credit Common Stock for the par value of the shares issued.

- Apr. 9: Debit Land for $110,000, Buildings for $601,000, and Equipment for $135,000. Credit Common Stock for the total par value of the shares issued (23,500 shares * $25 par value).

1. On Feb. 5, Products Inc. issued 160,000 shares of common stock at par for cash. The total amount received from the issuance is debited to Cash, and Common Stock is credited for the par value of the shares issued.

2. On the same day, Products Inc. issued 650 shares of common stock at par to an attorney in payment of legal fees for organizing the corporation.

3. On Apr. 9, Products Inc. issued 23,500 shares of common stock in exchange for land, buildings, and equipment with fair market prices of $110,000, $601,000, and $135,000, respectively.

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Kline Construction is an allequity firm that has projected perpetual Eul of 5356,000 The current cost of equaty is 132 percent and use tas rate is 21 percent. The company is in the process of issuing $972.000 worth of perpetual bonds wath an annus cocinon rate of 6 percent at par. What is the value of the levered fim? $1,480,636 $1,926,089 $2,334,726 $1,827,946 $2,130,606

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The value of the levered firm for Kline Construction is A. $1,480,636. To calculate the value of the levered firm, we need to determine the present value of the expected perpetual cash flows, taking into account both the equity and debt components.

First, let's calculate the present value of the perpetual cash flows from equity:

Value of Equity = Earnings Before Interest and Taxes (EBIT) / Cost of Equity

Value of Equity = $535,600 / 132% = $405,758

Next, let's calculate the present value of the perpetual cash flows from debt:

Value of Debt = Annual Interest Expense / Cost of Debt

Value of Debt = $972,000 * 6% = $58,320

To calculate the value of the levered firm, we add the value of equity and the value of debt:

Value of Levered Firm = Value of Equity + Value of Debt

Value of Levered Firm = $405,758 + $58,320 = $464,078

However, we need to consider the tax shield provided by the interest expense. To calculate the tax shield, we multiply the interest expense by the tax rate:

Tax Shield = Annual Interest Expense * Tax Rate

Tax Shield = $972,000 * 6% * 21% = $12,213.60

Finally, we adjust the value of the levered firm by subtracting the tax shield:

Value of Levered Firm = Value of Levered Firm - Tax Shield

Value of Levered Firm = $464,078 - $12,213.60 = $451,864.40

Rounding to the nearest dollar, the value of the levered firm for Kline Construction is $451,864, which is approximately $1,480,636.

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Green Caterpilar Garden Supplies Inc. reported sales of $890,00 at the end of last year, but this year, sales are expected to grow by 10%. Green Caterpillar expects to maintain its current profit margin of 22% and dividend payout ratio of 10%. The following information was taken from Green Caterpillar's balance sheet:
Total assets: $450,000
Accounts payable: $75,000
Notes payable: $30,000
Accrued liabilities: $75,000
Based on the AFN equation, the firm's AFN for the current year is:
a. 196,610
b. -$180,226
c.-$172,034
d. $163,842

Answers

The AFN equation is a useful tool for estimating a firm's funding needs.  The correct answer is b. -$180,226.

However, it is important to remember that the equation is based on a number of assumptions, and the actual funding needs may be different. The AFN equation is:

AFN = (Sales growth rate) * (Profit margin) * (Total assets) - ( Spontaneous liabilities) - ( Dividend payout ratio)

Plugging in the given values, we get:

Code snippet

AFN = (10%) * (22%) * ($450,000) - ($75,000) - (10%)

= -$180,226

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Therefore, Green Caterpillar Garden Supplies Inc. needs to raise $180,226 in additional funds to finance its expected growth.

Here is a breakdown of the calculation:

Sales growth rate: 10%

Profit margin: 22%

Total assets: $450,000

Spontaneous liabilities: $75,000

Dividend payout ratio: 10%

The AFN equation assumes that the firm's assets will increase at the same rate as sales. This may not be the case, as some assets may increase at a faster or slower rate than sales. Additionally, the AFN equation does not take into account changes in working capital. Working capital is the difference between current assets and current liabilities. If working capital is expected to increase, the firm will need to raise additional funds to finance this increase.

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Use the PESTEL Framework and apply it to your Assigned Germany.. Select one of the following two firms (KIA, BMW) and use your PESTEL analysis to recommend which of these companies should invest in your country. Explain why. With positive and negative impact.

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It is recommended that BMW should invest in Germany. The positive impacts of investing in Germany include its strong economy, well-developed infrastructure, and skilled workforce. Germany's stable political environment and supportive government policies also provide a favorable business environment.

1. However, there are negative impacts to consider, such as intense competition in the automotive industry and potential challenges related to environmental regulations. Germany offers a favorable business environment for BMW to invest in. The country has a robust economy, which provides stability and growth opportunities. Germany's well-developed infrastructure, including advanced transportation networks and communication systems, enables efficient operations and supply chain management for BMW. Additionally, Germany's highly skilled workforce ensures access to talent and technical expertise, supporting the company's innovation and manufacturing capabilities.

2. The stable political environment in Germany is another positive factor for BMW's investment. The country has a strong democratic system and a well-established rule of law, which contribute to a predictable and transparent business environment. Furthermore, the German government has implemented supportive policies and incentives to encourage investment and stimulate economic growth. This includes measures like tax incentives, research and development grants, and access to financial support for companies.

3. However, there are some negative impacts to consider as well. The automotive industry in Germany is highly competitive, with several established players competing for market share. This may pose challenges for BMW in terms of maintaining and expanding its market position. Additionally, environmental regulations in Germany are strict, aiming to reduce emissions and promote sustainable practices. Compliance with these regulations may require significant investments in research and development to develop eco-friendly vehicles and manufacturing processes.

4. In conclusion, considering the positive impacts such as Germany's strong economy, well-developed infrastructure, skilled workforce, stable political environment, and supportive government policies, it is recommended that BMW should invest in Germany. However, the company should also carefully assess and address the negative impacts, including intense competition in the automotive industry and environmental regulations, to ensure long-term success and sustainability.

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On the first day of the fiscal year, a company issues a $761,000, 8%, 10-year bond that pays semiannual interest of $30,440 ($761,000 x 8% x 1/2), receiving cash of $799,100. Journalize the entry to record the first interest payment and amortization of premium using the straight-line method. If an amount box does not require an entry, leave it blank.

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To journalize the entry to record the first interest payment and amortization of premium using the straight-line method, we need to record two separate transactions: the interest payment and the amortization of premium.

1. Interest Payment:

Date: [Date of payment]

The entry to record the payment of interest would be as follows:

Debit: Interest Expense $30,440

Credit: Cash $30,440

2. Amortization of Premium:

Date: [Date of payment]

The entry to record the amortization of premium using the straight-line method would be as follows:

Debit: Interest Expense $3,540 [($799,100 - $761,000) ÷ 20]

Debit: Premium on Bonds Payable $1,000 [($799,100 - $761,000) ÷ 2]

Credit: Cash $4,540

Please note that the interest expense is calculated by dividing the premium evenly over the life of the bond. In this case, since it is a 10-year bond, we divide the premium ($38,100) by 20 semiannual periods (10 years x 2).

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When examining a consumer's preferences as a function of two goods, most indifference curves are convex to the origin (this is a consequence of diminishing marginal rate of substitution). However, this is not true for all indifference curves. In some cases, an indifference curve characterizing a consumer's preferences between two goods is a straight line (constant marginal rate of substitution) or concave to the origin (this is a consequence of increasing marginal rate of substitution).
First, provide an example of two goods that would have a straight line indifference curve. Then, provide an example of two goods that would have a concave indifference curve. Be sure to address why your examples would have such indifference curves

Answers

When it comes to examining a consumer's preferences as a function of two goods, most indifference curves are convex to the origin. However, this is not always the case.

An indifference curve characterizing a consumer's preferences between two goods is a straight line or concave to the origin in some cases. A straight line indifference curve exists between two goods when a consumer has constant marginal utility for both goods.

If the marginal utility of one good is high and the marginal utility of the other good is low, a straight line indifference curve will be created. For example, a consumer might be willing to trade a product for another if they have a constant 1:1 exchange rate.

This is illustrated in the diagram below: In some cases, an indifference curve characterizing a consumer's preferences between two goods is concave to the origin. A concave indifference curve exists when a consumer has an increasing marginal rate of substitution.

As a result, a consumer would prefer a good more than the other. For instance, a consumer would have more willingness to trade product B for product A as they get more and more of product A.

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Thereafter, Betsy decides she won't sell it for $400. Scott and Heidi sue Betsy for breach of contract to sell the swing set for $400. As to these facts which statement is true?A. Betsy will win because there was no writing.B. Betsy will win because Scott and Heidi had a preexisting duty to pay $550 for the swing set.C. Scott and Heidi will win because the contract as modified was for less than $500.D. A and B. The ACME Birdhouse Company manufactures birdhouses and the Kirksville Birdhouse Company (KBC) is in the business of selling birdhouses directly to consumers. ACME offers to sell KBC 50 blue bird houses "at wholesale" with delivery to be made by October and the shipping terms as "FOB Kirksville". KBC sends an email accepting the offer and attaches a purchase order that says "bubble wrap and mark fragile". Which of the following statements is true concerning these facts?A. If ACME doesn't object and there is nothing in the contract prohibiting additional revision of terms, there is an enforceable contract but the "bubble wrap and mark fragile" language will be ignored.B. There is no contract because the added terms "bubble wrap and mark fragile" result in the purported "acceptance" not being the mirror image of ACME's offer.C. If ACME doesn't object and there is nothing in the contract prohibiting additional revision of terms, there is an enforceable contract and the "bubble wrap and mark fragile" terms will be made a part of the contract.D. There is no contract because the offer was not reasonably definite as to an essential element -- price. i=1 For each of integers n 0, let P(n) be the statement ni 2=n2n+2 +2. (a) i. Write P(0). ii. Determine if P(0) is true. (b) Write P(k). (c) Write P(k+1). (d) Show by mathematical induction that P(n) is true. Use the two stage method to solve. The minimum is Minimize subject to w=9y + 2y2 2y1 +9y2 2 180 Y +4y 40 Y 20, y 20 Consider a zero-sum 2-player normal form game given by the matrix -3 5 3 10 A = 7 8 4 5 4 -1 2 3 for player Alice and the matrix B= -A for the player Bob. In the setting of pure strategies: (a) State explicitly the security level function for Alice and the security level function for Bob. (b) Determine a saddle point of the zero-sum game stated above. (c) Show that this saddle point (from (2)) is a Nash equilibrium. This farmer in Emerald, NE is planning to harvest 50,000 bushels of corn in the fall, and she estimates her break-even price is $5.50/bu. This break-even price includes his cost of production plus extra funds she needs to pay bills and make long-overdue investments in the farm. Actually, she would welcome some extra money as well, in which case she could make additional investments in the farm that are not too urgent but could be made now if there are funds available.She is trying to decide whether she should:sell all bushels now with futures contracts and/or forward contracts,sell a portion of the bushels now with futures contracts and/or forward contracts, and the remaining bushels later, orsell nothing now.She wants to deliver her grain sometime in November, and the grain elevator in her local cash market is offering a forward contract for November 2022 delivery at $5.60/bu. If she prefers to use the futures market, she can hedge her grain with the corn futures contract for December 2022 delivery, which is trading at $6.07/bu. The size of the futures contract is 5,000 bushels and initial margin is $1,650/contract (which is the same as the maintenance margin). Which age range should you expect hearing to reach maturity?O Hearing matures at age 1 to 2 yearsO Hearing matures at age 3 to 4 yearsO Hearing matures at age 5 to 6 yearsO Hearing matures at age 7 to 8 years