2) (30 pts) For this question, consider that the letter "A" denotes the last 4 digits of your student number. That is, for example, if your student number is: 12345678, then A=5678. Assume that the factors affecting the aggregate expenditures of the sample economy, which are desired consumption (C), taxes (T), government spending (G), investment (1¹) and net exports (NX) are given as follows: Cd= A + 0.6 YD, T = 100+ 0.2Y, G=400, 1¹ = 300+ 0.05 Y, NX = 200 – 0.1Y. (a) According to the above information, explain in your own words how the tax collection changes as income in the economy changes? (b) Write the expression for YD (disposable income). (c) Find the equation of the aggregate expenditure line. Draw it on a graph and show where the equilibrium income should be on the same graph. (d) State the equilibrium condition. Calculate the equilibrium real GDP level. (e) What is the value of expenditure multiplier in this economy? If the government expenditure increases by 100 (i.e. AG=100), what will be the change in the equilibrium income level in this economy? What will be the new equilibrium level of real GDP? (f) Suppose that the output gap is given as "-2000". Explain what is output gap. Given this information, what is the level of potential GDP? How much should government change its spending (i.e. AG-?) to close the output gap?

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Answer 1

(a) The tax collection changes as income in the economy changes because taxes are a function of income. As income increases, the tax collection also increases. In this case, the tax function T = 100 + 0.2Y indicates that taxes are equal to a fixed component of 100 plus a proportion (0.2) of income (Y). So, as income rises, the tax collection will increase.

(b) Disposable income (YD) is the income available to individuals after subtracting taxes (T) from their total income (Y). In this case, the expression for YD is given by YD = Y - T, where T = 100 + 0.2Y.

(c) The aggregate expenditure (AE) is the sum of consumption (C), investment (I), government spending (G), and net exports (NX). Using the given functions, the equation for AE can be written as:

AE = Cd + 1¹ + G + NX

  = (A + 0.6YD) + (300 + 0.05Y) + 400 + (200 - 0.1Y)

  = A + 300 + 400 + 200 + 0.6(Y - T) + 0.05Y - 0.1Y

  = 900 + 0.6Y - 0.6T - 0.05Y

  = 900 + 0.55Y - 0.6T

To graph the aggregate expenditure line, we plot AE on the vertical axis and income (Y) on the horizontal axis. The equilibrium income is the point where AE equals Y.

(d) The equilibrium condition occurs when aggregate expenditure (AE) equals income (Y). Mathematically, it is expressed as AE = Y. To find the equilibrium real GDP level,  set AE equal to Y and solve for Y:

900 + 0.55Y - 0.6T = Y

Simplifying the equation gives:

0.45Y = 900 + 0.6T

(e) The expenditure multiplier (k) is given by the formula k = 1 / (1 - MPC), where MPC is the marginal propensity to consume. In this case, the MPC is 0.6 (from the consumption function Cd = A + 0.6YD). Therefore, the expenditure multiplier is k = 1 / (1 - 0.6) = 1 / 0.4 = 2.5.

If government expenditure (AG) increases by 100, it means G increases from 400 to 500. To calculate the change in equilibrium income, we multiply the change in government spending by the expenditure multiplier:

Change in income = (Change in AG) * k

                = (100) * 2.5

                = 250

The new equilibrium level of real GDP is the initial equilibrium income plus the change in income:

New equilibrium level of real GDP = Initial equilibrium income + Change in income

                                = Initial equilibrium income + 250

(f) The output gap measures the difference between actual output and potential output in the economy. A negative output gap indicates that the actual output is below the potential output. In this case, an output gap of -2000 means that the actual output is 2000 units below the potential output.

The level of potential GDP is the level of real GDP that the economy can produce when it is operating at full capacity without any output gaps. To close the output gap of -2000, the government should increase its spending (AG) by the amount equal to the output gap (2000) to stimulate aggregate demand and move the economy towards potential GDP.

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Related Questions

The key distinction between the views of Thomas Malthus and Esther Boserup on the relation between population growth and technological innovation is: O Malthus and Boserup both regard population growth as exogenous in driving innovation, but Boserup emphasizes the "passion between the sexes", while Malthus emphasizes human ingenuity. O Malthus and Boserup both regard population growth as exogenous in driving innovation, but Malthus emphasizes the "passion between the sexes", while Boserup emphasizes human ingenuity. O Malthus regards population growth as exogenously driving technological innovation, while Boserup regards population growth as an endogenous response to innovation. O Boserup regards population growth as exogenously driving technological innovation, while Malthus regards population growth as an endogenous response to innovation. Question (3) Jane is a 'textbook' speculator, in the sense that her position in the market is based on a mixture of hard research and gut intuition rather than insider information or other forms of cheating. Jane decides to short sell an oil security for a price of $100,000. When it comes time to close out her futures position, the oil price has dropped by 20%. Based on this information, it would be reasonable to conclude that: O Jane's transaction has contributed to increased oil price volatility and she incurred a loss. O Jane's transaction has contributed to increased oil price volatility and she made a profit. O Jane's transaction has contributed to decreased oil price volatility and she incurred a loss. O Jane's transaction has contributed to decreased oil price volatility and she made a profit. O It is impossible to tell from the given information.

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The key distinction between the views of Thomas Malthus and Esther Boserup on the relation between population growth and technological innovation is:

Malthus regards population growth as exogenously driving technological innovation, while Boserup regards population growth as an endogenous response to innovation.As for question (3), based on the information provided, it is reasonable toconclude that: Jane's transaction has contributed to increased oil price volatility and she made a profit.By short selling an oil security and the oil price subsequently dropping by 20%, Jane would have profited from the transaction, and her involvement in the market could have contributed to increased price volatility.

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To prepare for this problem, read carefully the A Closer Look box on Natural Resources, the Environment, and the National Income Accounts. Then, answer the following questions. Let's say that a given nation has two options: Option One: Produce $68.0 million in output and generate no pollution. Option Two: Produce $80.0 million in output and generate $27.5 million in pollution. Under Option One, million will be added to GDP. (Round your answer to one decimal place.) Under Option Two, $ million will be added to GDP. (Round your answer to one decimal place.)

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Under Option One, where $68.0 million in output is produced with no pollution, no million will be added to GDP.

This is because in the national income accounts, only market transactions are considered as additions to GDP. Since there is no pollution generated, which is not a market transaction, it does not contribute to GDP.

Under Option Two, where $80.0 million in output is produced and $27.5 million in pollution is generated, $80.0 million will be added to GDP. This is because the value of goods and services produced is included in GDP, regardless of any negative externalities such as pollution. However, it's important to note that GDP does not capture the negative impact of pollution on the overall well-being or sustainability of the economy and society. It only measures the market value of economic output.

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Selected ledger accounts for Realm Company are given below for the just-completed year: Raw Materials Bal. 1/1 Debits ? 42,000 480,000 Credits Bal.31/12 84,000 Manufacturing Overhead Debits 429,800 Credits ? Work in Process Credits 912,100 Bal. 1/1 Direct materials Direct labour Overhead 88,000 344,000 134,000 447,200 Bal. 31/12 ? Factory Wages Payable Debits 209,000 Bal. 1/1 Credits 22,000 205,000 Bal. 31/12 18,000 Finished Goods Credit ? Bal. 1/1 Debits 61,600 ? Bal. 31/12 166,000 Cost of Goods Sold Debits ? Required: 1. What was the cost of raw materials put into production during the year? Cost of raw materials 2. How much of the materials in requirement 1 consisted of indirect materials? Indirect materials 3. How much of the factory labour cost for the year consisted of indirect labour? Indirect labour cost 4. What was the cost of goods manufactured for the year? Cost of goods manufactured 5. What was the cost of goods sold for the year (before considering underapplied or overapplied overhead)? Cost of goods sold

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Therefore, the cost of goods sold for the year (before considering underapplied or overapplied overhead) was $1,521,900. The cost of raw materials put into production during the year can be calculated as:

Raw materials used = Beginning balance of raw materials + Purchases - Ending balance of raw materials

Cost of raw materials used = $42,000 + $480,000 - $84,000 = $438,000

Therefore, the cost of raw materials put into production during the year was $438,000.2. Indirect materials can be calculated as the difference between the total manufacturing overhead and the indirect labour.

Manufacturing overhead = $429,800                                                                                                                               Indirect labour = $447,200 - ($88,000 + $344,000) = $15,200

Indirect materials = $429,800 - $15,200 = $414,600

Therefore, $414,600 of the materials in requirement 1 consisted of indirect materials. The total factory labour cost is $447,200, and direct labour cost is $344,000. Therefore, indirect labour cost can be calculated as: Indirect labour = Total labour cost - Direct labour cost = $447,200 - $344,000 = $103,200. Therefore, the factory labour cost for the year consisted of $103,200 of indirect labour.

The cost of goods manufactured can be calculated as:

Cost of goods manufactured = Direct materials + Direct labour + Manufacturing overhead + Beginning work-in-process inventory - Ending work-in-process inventory/ Cost of goods manufactured = $88,000 + $344,000 + $447,200 + $912,100 - $166,000 = $1,625,300. Therefore, the cost of goods manufactured for the year was $1,625,300.5.

The cost of goods sold can be calculated as: Cost of goods sold = Beginning finished goods inventory + Cost of goods manufactured - Ending finished goods inventory.

Cost of goods sold = $61,600 + $1,625,300 - $166,000 = $1,521,900. Therefore, the cost of goods sold for the year (before considering underapplied or overapplied overhead) was $1,521,900.

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3.
On February 28, 2018, payment of a deposit of $5,000 for a promotional event that will take place in June 2018. Do the journal entry
Entry:

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Date: February 28, 2018

Account Debit Credit

Promotional Event Deposit $5,000

Cash $5,000

Explanation:
The journal entry records the payment of a deposit for a promotional event. The account "Promotional Event Deposit" is debited to increase its balance since the deposit is an asset and represents an amount owed by the event organizer. The account "Cash" is credited to decrease its balance because cash is being paid out.

Please note that this is a general example of a journal entry and may not reflect the specific accounts or account names used in your organization's chart of accounts. It's always recommended to consult with an accounting professional or refer to your company's accounting policies for accurate and specific journal entries.

A promotional event in June 2018 received a $5,000 deposit on February 28, 2018. Journal entry:

28 February 2018.

Prepaid expenses $5,000 debit.

Cash: $5,000

The debt to the Prepaid Expenses account represents the promotional event deposit's prepaid asset increase. Prepaid expenses are costs that have not yet been incurred. Since the event will happen later, the deposit represents a prepaid expense.

As payments are made, the Cash account decreases. The company's available funds are in cash.

By registering this transaction, the corporation increases the prepaid asset and decreases cash. Over the course of the June 2018 event, prepaid expenses will be recognized as incurred expenses.

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when a firm's earnings are falling more rapidly than its stock price, its p/e ratio will multiple choice remain the same. go up. go down. either go up or down.

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The P/E ratio can be affected by a variety of factors, including changes in a company's earnings and stock price.

When a firm's earnings are falling more rapidly than its stock price, its P/E ratio will go up.

When a firm's earnings are falling more rapidly than its stock price, its P/E ratio will go up. Here is an explanation for this:The price-to-earnings ratio (P/E ratio) is the ratio of the price of a share of stock to the earnings per share. The P/E ratio is a valuation metric that is often used to evaluate the relative value of a company's stock.When a firm's earnings are falling more rapidly than its stock price, the P/E ratio will go up.This is because the denominator of the P/E ratio, which is earnings per share, is decreasing more rapidly than the numerator, which is the stock price. As a result, the P/E ratio will increase as the stock becomes more expensive relative to the earnings of the company.

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Meta Corporation had sales totaling $2,000,000 in the fiscal year 2021, Some ratios for the company are listed below. Use this information to determine the dollar values of various income statement accounts. Show your work! Gross profit margin Operating profit margin Return on total assets Return on equity Total asset turnover Net profit margin Sales Cost of goods sold Gross profit Operating expenses Operating profit Interest expense Earnings before tax Tax expense 40% Net profit after tax Meta Corporation. Year ended Dec, 31, 2021 60% 30% 20% 25% 2 5% Meta Corporation. Income statement Year ended Dec, 31, 2021 $2,000,000 800000 1200,00

Answers

Using the above calculations, we have determined the values for the following income statement accounts:

Sales: $2,000,000

Cost of goods sold: $1,200,000

Gross profit: $800,000

Operating expenses: Not provided

Operating profit: $600,000

Net profit after tax: $500,000

Let's calculate the values step by step:

1. Gross profit margin = Gross profit / Sales

Given Gross profit margin = 40%

Sales = $2,000,000

Gross profit = Gross profit margin * Sales

Gross profit = 0.40 * $2,000,000

Gross profit = $800,000

2. Cost of goods sold = Sales - Gross profit

Cost of goods sold = $2,000,000 - $800,000

Cost of goods sold = $1,200,000

3. Operating profit margin = Operating profit / Sales

Given Operating profit margin = 30%

Operating profit = Operating profit margin * Sales

Operating profit = 0.30 * $2,000,000

Operating profit = $600,000

4. Return on total assets = Net profit after tax / Total assets

Given Return on total assets = 20%

Total assets = Net profit after tax / Return on total assets

Total assets = $600,000 / 0.20

Total assets = $3,000,000

5. Return on equity = Net profit after tax / Equity

Given Return on equity = 25%

Equity = Net profit after tax / Return on equity

Equity = $600,000 / 0.25

Equity = $2,400,000

6. Total asset turnover = Sales / Total assets

Given Total asset turnover = 2

Total assets = Sales / Total asset turnover

Total assets = $2,000,000 / 2

Total assets = $1,000,000

7. Net profit margin = Net profit after tax / Sales

Given Net profit margin = 25%

Net profit after tax = Net profit margin * Sales

Net profit after tax = 0.25 * $2,000,000

Net profit after tax = $500,000

8. Interest expense = Operating profit - Earnings before tax

Given Operating profit = $600,000

Earnings before tax = Operating profit + Interest expense

Interest expense = Earnings before tax - Operating profit

We don't have the specific value for Earnings before tax, so we cannot calculate the interest expense without further information.

To determine the dollar values of various income statement accounts, we can use the given ratios and the sales figure of $2,000,000.

Please note that without additional information, we cannot determine the specific values for operating expenses and interest expense.

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the ________ is a comparison of the wealth in the top and bottom quintiles of an economy.

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The wealth ratio is a comparison of the wealth in the top and bottom quintiles of an economy.

Wealth ratio, also known as wealth disparity, is the ratio of the net wealth of the richest group of individuals in a given population to the net wealth of the poorest group of individuals in that population. It is usually expressed as a percentage and provides a measure of how income and wealth are distributed throughout society. In general, the wealth ratio is higher in developed countries than in developing ones, and this disparity has been increasing over time. According to a report published by the World Economic Forum, the wealth ratio in the United States, for example, has risen from 12:1 in 1963 to 24:1 in 2018. This means that the top 1% of earners in the US now owns as much wealth as the bottom 50% combined. This trend has significant implications for social and economic equality, as it often leads to unequal access to education, healthcare, and other essential services, as well as limited opportunities for upward social mobility.

In conclusion, the wealth ratio is a critical indicator of the state of income inequality in an economy, and addressing it should be a top priority for policymakers.

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Why are large companies such as AmerisourceBergen and Diebold good candidates for business process management?

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Large companies such as AmerisourceBergen and Diebold are good candidates for business process management because of the following reasons: Business Process Management (BPM) can streamline the complex and multi-faceted process of business activities and improve productivity, performance, and flexibility.

BPM can help large companies like Amerisource Bergen and Diebold by identifying the gaps in their current business process and filling those gaps through technology, software, or automated solutions. Here are some reasons why large companies need business process management: Better Compliance - Large companies have to deal with numerous regulations that change frequently, and it's challenging to keep up with them.

BPM can help ensure that all the processes and activities comply with these regulations. Improved Efficiency - Large companies have several processes, and it's crucial to optimize these processes to make the most of the available resources. BPM can help to streamline these processes to enhance efficiency and cut down on operational costs. Better Customer Experience - Large companies have to deal with thousands of customers daily. BPM can help in providing better customer experience by ensuring that all the processes are efficient, quick, and hassle-free. BPM can help in identifying potential issues before they occur, resulting in better decision making and enhanced performance. Thus, large companies such as AmerisourceBergen and Diebold are good candidates for business process management.

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The Utah Mining Corporation is set to open a gold mine near Provo, Utah. According to the treasurer, Monty Goldstein, "This is a golden opportunity." The mine will cost $4,100,000 to open and will have an economic life of 11 years. It will generate a cash inflow of $515,000 at the end of the first year, and the cash inflows are projected to grow at 8 percent per year for the next 10 years. After 11 years, the mine will be abandoned. Abandonment costs will be $570,000 at the end of Year 11. a. What is the IRR for the gold mine? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) IRR 10.09 %

Answers

The IRR for the gold mine is 10.09% (rounded to 2 decimal places).

The Internal Rate of Return (IRR) is the discount rate at which the net present value (NPV) of cash inflows and outflows from a project is equal to zero. To calculate the IRR for the gold mine, we need to determine the discount rate at which the present value of cash inflows equals the present value of cash outflows.

The cash inflows for the gold mine are as follows:

Year 1: $515,000

Years 2-10: Growing at 8% per year

Year 11: $570,000 (including abandonment costs)

The initial investment is $4,100,000 to open the mine.

To calculate the IRR, we can use trial and error or financial software. Using the given values, the IRR for the gold mine is approximately 10.09%.

Therefore, the IRR for the gold mine is 10.09% (rounded to 2 decimal places).

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Name and briefly explain what roles an Islamic Bank can play (at
least 5)

Answers

Islamic banks are financial institutions that operate under the Islamic law, which is known as Shariah. The main objective of these banks is to promote the principle of fair and just distribution of wealth. The Islamic Bank plays a vital role in the economy of a country by providing various financial services to people.

Some of the roles played by Islamic Banks are given below:

1. Deposit Collection : Islamic banks collect deposits from customers, including businesses, individuals, and governments. These deposits are used to provide loans to other customers, and the bank pays profits or returns to the depositors.

2. Investment and Financing : Islamic banks invest and finance in Shariah compliant businesses and projects. They ensure that the investments and financing comply with the Islamic principles. The bank shares profits and losses with the clients based on the agreed-upon terms.

3. Asset Management : Islamic banks manage assets on behalf of clients, including individuals, businesses, and governments. They manage investment portfolios and provide wealth management services.

4. Payment Services : Islamic banks offer various payment services, including electronic banking, debit cards, credit cards, and other financial instruments.

5. Social Responsibility : Islamic banks have social responsibilities towards the community, and they undertake various initiatives to promote social welfare and support the needy. They also contribute towards environmental sustainability and charity programs.

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Question A reason for diseconomies of scale and be

Select one alternative:
a. A lack of flexible manufacturing systems.
b. A lack of absorptive capacity. Inefficiencies due to unrelated diversification.
c. Inefficiencies due to increasing firm-size and bureaucracy cost.

Answers

A reason for diseconomies of scale can be (c.) Inefficiencies due to increasing firm-size and bureaucracy cost.

Diseconomies of scale refer to a situation where the cost per unit of production increases as a company grows in size. It occurs when the advantages of scale diminish or are outweighed by the disadvantages. One reason for diseconomies of scale is the inefficiencies that arise due to increasing firm size and the associated bureaucracy costs.

As a company expands and becomes larger, it often becomes more complex to manage, leading to increased bureaucracy and administrative costs.

These additional layers of management and decision-making processes can slow down decision-making, hinder communication, and create inefficiencies within the organization. As a result, the cost per unit of production may increase, leading to diseconomies of scale.

Inefficiencies due to increasing firm-size and bureaucracy costs can contribute to diseconomies of scale. It is important for organizations to carefully manage their growth and organizational structure to avoid such inefficiencies and maintain economies of scale.

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A firm has cost function c(L,K) = wL + rK with a production function p(L,K) = ALα Kβ. The firm wishes to produce P units. Set up the Lagrange equation and find the first order conditions.

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The first-order conditions for the given function are AαKβ/λw = L and AβLαKβ-1/λr = K.

Cost function of a firmThe cost function of a firm is c(L, K) = wL + rK, where w is the wage rate, r is the rental rate, L is labor, and K is capital.

A production function is p(L, K) = ALα Kβ, where A is the total factor productivity, α is the capital’s elasticity of the production function, β is the labor’s elasticity of the production function. A firm wishes to produce P units by choosing the amount of labor and capital to hire.

The Lagrange equation is:L = ALα Kβ - λ(wL + rK - C)Where C is the cost function of a firm.λ is the Lagrange multiplier.α and β are the capital’s elasticity of the production function and labor’s elasticity of the production function, respectively.

Now we differentiate the equation L with respect to L, K, and λ.∂L/∂L = AαKβ - λw (1)∂L/∂K = AβLαKβ-1 - λr (2)∂L/∂λ = wL + rK - C (3)

Set Equations (1) and (2) equal to zero for the first-order condition.AαKβ/λw = L (4)AβLαKβ-1/λr = K (5)

By multiplying Equations (4) and (5), we get:

LK = Aα+βKβLα/λ²wr = P/λ²wrλ = [P/ALα+β Kβα]½

Substitute λ in Equations (4) and (5) to get the optimal choice of L and K:

L = α[P/ALα+β Kβα]½K = β[P/ALα+β Kβα]½

Set the optimal choice of L and K in Equation (3) to get the optimal price C*= ALα+β [P/ALα+β Kβα]½

In conclusion, the first-order conditions for the given function are AαKβ/λw = L and AβLαKβ-1/λr = K.

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increases in the fraction of national debt held by foreigners _____ the burden of debt service on future generations _____.

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The correct sentence would be: Increases in the fraction of national debt held by foreigners increase the burden of debt service on future generations.

Increases in the fraction of national debt held by foreigners increase the burden of debt service on future generations. This is because when the country borrows money from foreigners to finance the government's spending or to finance its operations, it has to repay them later. The more the country borrows from foreigners, the more it has to pay back. This increases the country's debt service burden on future generations. The foreign-held debt comes with a greater interest payment burden than if the debt were domestically held.

The reason behind this is that foreign investors usually expect higher interest rates on debt because they have less faith in a foreign country's ability to repay its debt. This means that the country has to pay higher interest rates to foreign investors, which increases the burden of debt service on future generations. Furthermore, when a country borrows too much from foreigners, it risks losing control over its own economy. The country becomes dependent on foreign investors to finance its operations, which can be problematic if these investors become less interested in holding the country's debt.  

In conclusion, the increase in the fraction of national debt held by foreigners increases the burden of debt service on future generations.

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A variety of statistical studies based on the U.S. experience suggests that when government borrowing increases by $1, private saving rises on average by about 10 cents. O 30 cents. o 50 cents. O 70 cents.

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A variety of statistical studies based on the U.S. experience suggests that when government borrowing increases by $1, private saving rises on average by about 30 cents. The correct option is 30 cents.

This is known as Ricardian equivalence, a theory that suggests that when a government decides to borrow money, it crowds out private investors, reducing private investment and savings. According to this theory, the government's borrowing is offset by an increase in private savings. The concept is named after the British economist David Ricardo, who first proposed it in the early 19th century.

Ricardian equivalence implies that government borrowing and private saving are linked and that one affects the other. The theory assumes that individuals have a perfect understanding of the implications of current government policy for their future tax liabilities. It also assumes that individuals are forward-looking and rational when they make consumption and saving decisions. 30 cents is the correct option.

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At the beginning of the current period, Vaughn had balances in Accounts Receivable of $273,000 and in Allowance for Doubtful Accounts of $9,200 (credit). During the period, it had net credit sales of $870,000 and collections of $826,500. It wrote off as uncollectible accounts receivable of $6,700. However, a $3,000 account previously written off as uncollectible was recovered before the end of the current period. Uncollectible accounts are estimated to total $25,200 at the end of the period. (Omit cost of goods sold entries.) (a-d) (a) Prepare the entries to record sales and collections during the period. (b) (c) Prepare the entry to record the write-off of uncollectible accounts during the period. Prepare the entries to record the recovery of the uncollectible account during the period. Prepare the entry to record bad debt expense for the period. (d) No. Account Titles and Explanation (a) (To record sales) (To record cash collected during the period) (b) Debit 100 Credit 11 (c) (d) (To reinstate account previously written off) (To record the recovery of the uncollectible account during the period). II 11

Answers

Accounts Receivable is referred to as a current asset account. It is recorded on the balance sheet as a company's total unpaid invoices to its customers. Accounts Receivable typically have credit terms that require customers to pay within 30, 60, or 90 days. The Allowance for Doubtful Accounts is a contra-asset account that is deducted from Accounts Receivable.

This account represents the amount of money that is anticipated to be uncollectible from customers. The account balances in Accounts Receivable and the Allowance for Doubtful Accounts at the beginning of the period are used to calculate the net realizable value of the accounts receivable.

(a) The entry to record sales during the period is to debit Accounts Receivable and credit Sales for $870,000.(b) The entry to record the write-off of uncollectible accounts during the period is to debit Allowance for Doubtful Accounts and credit Accounts Receivable for $6,700.(c) The entry to record the recovery of the uncollectible account during the period is to debit Accounts Receivable and credit Allowance for Doubtful Accounts for $3,000.(d) The entry to record bad debt expense for the period is to debit Bad Debt Expense and credit Allowance for Doubtful Accounts for $19,500 (calculated as $25,200 estimated uncollectible accounts - $9,200 credit balance in Allowance for Doubtful Accounts). The remaining $5,700 ($25,200 estimated uncollectible accounts - $19,500 bad debt expense) will be the ending balance in Allowance for Doubtful Accounts.150 wordsAccounts Receivable is a current asset account that represents the total unpaid invoices to a company's customers. The Allowance for Doubtful Accounts is a contra-asset account that is deducted from Accounts Receivable. This account represents the amount of money that is anticipated to be uncollectible from customers. The account balances in Accounts Receivable and the Allowance for Doubtful Accounts at the beginning of the period are used to calculate the net realizable value of the accounts receivable. The journal entries to record sales during the period are to debit Accounts Receivable and credit Sales for $870,000. The entry to record the write-off of uncollectible accounts during the period is to debit Allowance for Doubtful Accounts and credit Accounts Receivable for $6,700. The entry to record the recovery of the uncollectible account during the period is to debit Accounts Receivable and credit Allowance for Doubtful Accounts for $3,000. The entry to record bad debt expense for the period is to debit Bad Debt Expense and credit Allowance for Doubtful Accounts for $19,500 (calculated as $25,200 estimated uncollectible accounts - $9,200 credit balance in Allowance for Doubtful Accounts). The remaining $5,700 ($25,200 estimated uncollectible accounts - $19,500 bad debt expense) will be the ending balance in Allowance for Doubtful Accounts.

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Question 16 0 out of 0. Folkways manufacturers dolls with traditional dress from different areas of the Middle East. Since the company was founded 5 years ago, it has sourced the dolls' clothing from

Answers

Folkways, a doll manufacturer specializing in traditional dress from different areas of the Middle East, has sourced the dolls' clothing from various suppliers since its establishment 5 years ago. Having multiple suppliers may mitigate the risk of relying on a single source and help ensure a consistent supply of clothing for the dolls.

Folkways has been in operation for 5 years and during this time, it has procured the clothing for its dolls from multiple suppliers. The choice to source from different suppliers could be driven by various factors such as cost, availability, quality, or the desire to offer a diverse range of doll clothing representing different regions of the Middle East. By obtaining clothing from different suppliers, Folkways can ensure that the dolls accurately reflect the traditional dress of specific areas.

Sourcing from multiple suppliers may also provide flexibility and the ability to adapt to changing customer preferences or market conditions. It allows the company to access a wider range of clothing styles, materials, or craftsmanship techniques, enhancing the authenticity and appeal of their dolls. Additionally, having multiple suppliers may mitigate the risk of relying on a single source and help ensure a consistent supply of clothing for the dolls.

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Betty contracted with Roger the Dodger Home Decorating Pty Ltd to redesign the interiors of her whole

house and complete the job in 3 months for $ 100,000. The job was completed on time, but about 25 % of it

was not finished properly with quite a few faults and it would cost another $ 20,000 to finish it off properly.

Betty refuses to pay anything to Rodger the Dodger who is demanding payment because he says he

completed the job on time.

Discuss the legal situation for both parties with reference to any relevant cases ( Corporation Act 2001 and please Use ILAC format)

Answers

Betty may have a valid claim to refuse payment for the unfinished and faulty portions of the job due to Roger the Dodger's failure to meet contractual obligations.

Issue: The main issue in this situation is the quality of the work performed by Roger the Dodger Home Decorating Pty Ltd. While the job was completed on time, there is a significant portion of the work that was not finished properly and contains multiple faults. Betty, the client, is refusing to pay the additional $20,000 that Roger the Dodger is demanding, arguing that the work needs to be completed properly.

Law: Under the Corporation Act 2001, a contract for services should be performed with due care and skill. If the work is not done with reasonable care and skill, the client may have a valid claim against the service provider.

Application: In this case, although the job was completed on time, 25% of it was not finished properly with multiple faults. This indicates that Roger the Dodger may have failed to fulfill the contract obligations by not providing services of reasonable quality. Betty, as the client, has the right to expect the work to be done properly.

Conclusion: Betty may have grounds to refuse payment for the unfinished and faulty portions of the job. She can argue that Roger the Dodger breached the contract by not completing the work with due care and skill. Betty may be entitled to seek remedies such as having the faults rectified or receiving compensation for the cost of finishing the job properly. Relevant case law and the specific terms and conditions of the contract may further influence the outcome of the legal situation.

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Four different prefab-building locations have been suggested, of which only one will be selected. Cost and annual net cash- flow information are detailed in the table below. The annual net cash-flow series vary due to differences in maintenance, labour costs, transportation charges, etc. If the MARR is 10%, use ROR analysis to select the one economically-best location. Location Building cost, $ Annual cash flow, A B C D 200,000-275,000-190,000-350,000 $+22,000+35,000+19,500+42,000 Life, Years 30 30 30 30

Answers

Location D is economically the best choice based on the Rate of Return (ROR) analysis.

ROR analysis involves comparing the annual cash flows of different options to the initial investment to determine the rate of return. The option with the highest rate of return is considered economically the best choice. Location[tex]C: ROR_C = (19,500 / 190,000)^(1/30) - 1 = 0.0313[/tex] or 3.13% Location D: ROR_D = [tex](42,000 / 350,000)^(1/30) - 1 = 0.0326[/tex] or 3.26% Among the four options, Location D has the highest rate of return at 3.26%. Therefore, it is economically the best choice based on the ROR analysis, considering a MARR (Minimum Acceptable Rate of Return) of 10%.

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Think about a recent difficult conversation you had, one that occurred in the workplace, a retail establishment, or with an individual, Identify on example that did not go as best as it could have. Answer the following three questions:
1. Briefly describe the conversation in one paragraph.
Evaluate your and the other persons behavior in finding common ground, disagreeing diplomatically, and striving to reach consensus.
Describe 2-3 things you would do differently on approaching this conversation if you were to have the conversation again. Explain the rationale for the different approach, citing information from our textbook as the reasons why.

Answers

I would use empathy to put myself in the team member's shoes and try to understand the challenges he faced. This approach is backed by the textbook's assertion that empathy is a critical skill for building effective relationships in the workplace.

A difficult conversation occurred at the workplace when a team member continuously failed to submit his reports on time. His tardiness created delays in the progress of the project, causing the team to fall behind schedule. In addition, his work had to be constantly reviewed, further hindering the team's progress.

The team member was defensive and blamed the project manager for not giving him enough time to complete the reports. In contrast, the project manager was authoritative, blaming the team member for his tardiness and lack of accountability. Both parties did not find common ground initially, but the project manager eventually calmed the team member down and reached a consensus on how to move forward with the project.

In approaching the conversation differently, it is important to focus on active listening, empathy, and understanding. I would take a collaborative approach, involving the team member in the problem-solving process. This approach is backed by the textbook's assertion that collaboration fosters a positive work environment and enhances problem-solving skills. Additionally, I would practice active listening, seeking to understand the team member's perspective. This is backed by the textbook's suggestion that active listening helps to build trust and respect between team members.

Finally, I would use empathy to put myself in the team member's shoes and try to understand the challenges he faced. This approach is backed by the textbook's assertion that empathy is a critical skill for building effective relationships in the workplace.

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Variable costing is more useful than absorption costing for:
i. Special order decisions
ii. Short term pricing of products
iii. Long term pricing of products
A.
i and ii
B.
ii
C.
i
D.
i, ii and iii

Answers

Variable costing is more useful than absorption costing for (C) i. special order decisions.

Variable costing treats fixed manufacturing overhead costs as period costs and only includes variable production costs (direct materials, direct labor, and variable manufacturing overhead) in the product cost. On the other hand, absorption costing allocates both variable and fixed manufacturing overhead costs to products.

i. Special order decisions: Variable costing is more useful in special order decisions because it allows managers to determine the incremental cost of producing additional units. By focusing on variable costs, managers can make informed decisions about accepting or rejecting special orders without considering the impact of fixed overhead costs that are not relevant to the decision.

ii. Short-term pricing of products: Variable costing is also more useful in short-term pricing decisions. By considering only variable costs, managers can better understand the cost behavior of products and set prices that cover variable expenses and contribute to short-term profitability.

iii. Long-term pricing of products: The statement does not mention long-term pricing decisions. As such, it cannot be concluded that variable costing is more useful than absorption costing for long-term pricing.

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Ltd. is a factory located in a remote village. Recently, due to limited electricity supply, its production and sales volume has dropped from the normal level of 30,000 units to 8,000 units per month. A Ltd. was told that the electricity shortage will continue for the next 3 months; therefore, it is contemplating to close down the factory for the next 3 months. If it does close down the factory, its fixed manufacturing overhead costs will be reduced by $45,000 per month and its fixed selling costs will decrease by 10%. However, the factory restart after the 3-month closure will incur $8,000 in total. The current selling price of its product is $22 per unit, variable costs are $14 per unit, fixed manufacturing overhead costs are $150,000 per month, and fixed selling costs are $30,000 per month. Required: (Round to 2 decimal places, Show workings) (1) Should A Ltd. close down its factory for 3 months? Why? Support your answer with calculations

Answers

A Ltd. should not close down its factory for 3 months. To determine whether A Ltd. should close down its factory for 3 months, we need to compare the costs and benefits of doing so.

First, let's calculate the total cost per unit:

Total cost per unit = variable cost per unit + (fixed manufacturing overhead costs + fixed selling costs)/number of units produced

Total cost per unit = $14 + ($150,000 + $30,000)/30,000

Total cost per unit = $19

With the current selling price of $22 per unit, A Ltd. is making a profit of $3 per unit.

Now, let's consider the costs and benefits of closing down the factory for 3 months.

If A Ltd. closes down the factory for 3 months, it will save $45,000 per month in fixed manufacturing overhead costs and 10% of its fixed selling costs, which is $3,000 per month.

The total cost savings for the 3-month period would be:

Total cost savings = 3 x ($45,000 + $3,000)

Total cost savings = $144,000

However, A Ltd. will also incur a restart cost of $8,000 after the 3-month closure.

If A Ltd. continues production for the next 3 months, based on the current production level of 8,000 units per month, it will generate a total revenue of:

Total revenue = 8,000 x $22 x 3

Total revenue = $1,584,000

The total cost of producing 24,000 units during the 3-month period would be:

Total cost = 24,000 x $19

Total cost = $456,000

The profit generated from continuing production for the next 3 months would be:

Profit = Total revenue - Total cost

Profit = $1,584,000 - $456,000

Profit = $1,128,000

Based on the above calculations, it is more beneficial for A Ltd. to continue production for the next 3 months rather than closing down the factory. The profit generated from continuing production for the next 3 months is $1,128,000, which is higher than the cost savings from closing down the factory ($144,000) minus the restart cost of $8,000, which is a total of $136,000. Therefore, A Ltd. should not close down its factory for 3 months.

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In 20x3, G Co reported product sales of $7178 million and trade receivables of $794 million in 20X2, product sales were $584.9 million and trade receivables were $714 million What was its receivables tumover ratio for 20x3?

Answers

To calculate the receivables turnover ratio for 20X3, we use the formula:

Receivables Turnover Ratio = Net Credit Sales / Average Accounts Receivable

First, we need to find the average accounts receivable. We can calculate it by adding the beginning and ending trade receivables for the year and dividing by 2.

Average Accounts Receivable = (Trade Receivables at the beginning of 20X3 + Trade Receivables at the end of 20X3) / 2

Average Accounts Receivable = ($714 million + $794 million) / 2 = $754 million

Next, we calculate the net credit sales for 20X3 by subtracting the credit sales in 20X2 from the credit sales in 20X3:

Net Credit Sales = Product Sales in 20X3 - Product Sales in 20X2

Net Credit Sales = $7,178 million - $584.9 million = $6,593.1 million

Now we can calculate the receivables turnover ratio:

Receivables Turnover Ratio = $6,593.1 million / $754 million

Receivables Turnover Ratio = 8.74

Therefore, the receivables turnover ratio for 20X3 is 8.74.

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Choose a business which is convenient to do from your home and discuss your opinion why it is going to be convenient and beneficial to run from your home.
Explain also the limitations or constraints you might face when you are going to run your business from your home.

Answers

One business that is convenient to run from home is an online tutoring service. It is convenient because it allows for flexibility in working hours, eliminates the need for commuting, and provides

the opportunity to utilize existing resources at home such as a quiet workspace, internet connection, and computer equipment. Additionally, running an online tutoring service from home can be cost-effective, as there are minimal overhead expenses compared to renting a separate commercial space.There are several benefits to running an online tutoring service from home. Firstly, it offers the convenience of working from a familiar environment and allows for a better work-life balance. Home-based businesses also have the advantage of reduced expenses, as there are no additional costs associated with renting or maintaining a physical office space. Moreover, the online nature of the business allows for a wider reach and the ability to cater to students from different locations.However, there are limitations and constraints to consider. One constraint is the potential lack of separation between work and personal life, as it can be challenging to create boundaries when working from home.

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in the dataset provided, what does the variable fs represent?

Answers

In the given dataset, the variable "fs" represents the sampling rate of the audio signal.

The sampling rate can be defined as the number of samples of the audio signal taken per second. The value of fs determines the frequency range that can be processed in the signal and the amount of data that can be stored. For example, a higher sampling rate means that the audio signal has more samples per second, providing the better sound quality and frequency range. A lower sampling rate indicates that the audio signal has fewer samples per second and has a limited frequency range.

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State whether the following statements are true or false and explain your answer in each case in
no more than 3 lines. (6 questions, 5 points each, 30 points total)
1) A seller will always get identical revenue whether she runs an English auction or a first price
sealed bid auction
2) With one dimensional policy space and any type of preference structure, the social choice following a majority voting system will select the outcome most preferred by the median voter.
3) With the right set of endowments, any Pareto Efficient allocation can be achieved as a competitive general equilibrium.
4) In repeated games, cooperation becomes harder to achieve as the players become more
patient (i.e. the discount factor becomes higher).
5) When prospective employees are able to signal their ability, employers are no better off. employees with lower productivity are definitely worse off, and even employees with higher productivity might be worse off.
6) Under a Rawlsian social welfare function, a society with one million poor people with a utility of 10, has the same social welfare as a society with 999,999 rich people with a utility of 1000 and one poor person with a utility of 10.

Answers

1) false. English auction, the seller earns the second-highest bid.

2)  True; 3) true: 4) false: 5) false: 6) false.

1) The statement is false. A seller will not always get identical revenue whether she runs an English auction or a first price sealed bid auction. In a first price sealed bid auction, the seller earns the highest bid whereas in an English auction, the seller earns the second-highest bid.

2) The statement is true. With one dimensional policy space and any type of preference structure, the social choice following a majority voting system will select the outcome most preferred by the median voter.

3) The statement is true. With the right set of endowments, any Pareto Efficient allocation can be achieved as a competitive general equilibrium.

4) The statement is false. In repeated games, cooperation becomes easier to achieve as the players become more patient (i.e. the discount factor becomes higher).

5) The statement is false. When prospective employees are able to signal their ability, employers are better off because they can better differentiate between high and low productivity employees. Employees with lower productivity are worse off, but employees with higher productivity are better off due to the ability to signal their ability.

6) The statement is false. Under a Rawlsian social welfare function, a society with one million poor people with a utility of 10, has a lower social welfare than a society with 999,999 rich people with a utility of 1000 and one poor person with a utility of 10.

Rawlsian social welfare function is based on the idea that welfare should be maximized for the worst-off member of society, not on the total utility of society.

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Mr. Mulenga receives utility from days spent travelling on vacation domestically (D) and days spend in travelling in a foreign country (F) as given by the utility U (D, F) =DF. The price of a day spent traveling domestically is K 32000 and in a foreign country K 40000. Mulenga's annual budget is K 160000. A. Find Mulenga's maximizing choices of days traveling domestically and in a foreign country. Find also his utility bundle from consuming that bundle. [5 marks] B. Suppose that the price of traveling domestically increases to K 41000 per day. Calling his budget for travelling X. (suppose by now it is unknown) find the demand for D and F under the new price which is a function of x. [4 marks] C. The income necessary to make Mr. Mulenga reach the level of satisfaction as before the price change. [4 marks] D. Compute the quantity demanded with the new prices and the original income. [4 marks] E. Compute the quantity demanded with the new prices and the income you found in C above. [4 marks] F. Using the previous answers, tell us what is the total change in quantity of D due to the price increase in PD that the consumer experiences and what part of that change is due to income or substitution effect. [4 marks]

Answers

A. To find Mr. Mulenga's maximizing choices, we need to determine the optimal allocation of days spent traveling domestically (D) and days spent traveling in a foreign country (F) based on his budget constraint and utility function. Given the prices per day and the budget, we can set up the following problem:

Maximize U(D, F) = DF

subject to the budget constraint: K32000D + K40000F = K160000

To solve this problem, we can use the method of Lagrange multipliers. The Lagrangian function is L(D, F, λ) = DF + λ(K32000D + K40000F - K160000).

Taking the partial derivatives and setting them equal to zero, we find:

∂L/∂D = F + λK32000 = 0

∂L/∂F = D + λK40000 = 0

K32000D + K40000F = K160000 (budget constraint)Solving these equations simultaneously, we can find the values of D, F, and λ that satisfy the optimization problem. The specific values will depend on the given values of K32000 and K40000.

B. If the price of traveling domestically increases to K41000 per day, the new budget constraint becomes: K41000D + K40000F = X, where X is the new budget for traveling. We need to determine the demand for D and F as a function of the new budget X.

To find the demand, we can rearrange the budget constraint equation: D = (X - K40000F)/K41000. This equation represents the demand for D in terms of the budget X and the quantity of F chosen.

C. To determine the income necessary to maintain Mr. Mulenga's level of satisfaction as before the price change, we need to find the value of X that makes his utility bundle the same as before. Since his utility function is U(D, F) = DF, the level of satisfaction is solely determined by the product of D and F. Therefore, to maintain the same level of satisfaction, we need to solve the following equation: DF = D'F', where D' and F' are the new quantities demanded for D and F under the new price.

D. To compute the quantity demanded with the new prices and the original income, we can substitute the original income K160000 and the new prices into the budget constraint equation: K41000D + K40000F = K160000. Solving this equation will give us the quantities of D and F demanded under the new prices and the original income.

E. Similarly, to compute the quantity demanded with the new prices and the income found in part C, we can substitute the income X and the new prices into the budget constraint equation: K41000D + K40000F = X. Solving this equation will give us the quantities of D and F demanded under the new prices and the adjusted income.

F. By comparing the quantities demanded in parts D and E, we can determine the total change in the quantity of D due to the price increase (PD) and analyze the income and substitution effects. The change in the quantity of D can be decomposed into the income effect and the substitution effect. The income effect measures the change in quantity demanded due to the change in income, while the substitution effect measures the change in quantity demanded due to the change in relative prices. The specific calculations will depend on the values obtained in parts D and E.

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Drive to Washington, DC, and take the bus to Atlantic City from there. Your car has a 77% chance of making it to DC. If it doesn't make it to DC, you can hitchhike there with a 55% chance of success.
Calculate the reliability.

Answers

The ability of a system, method, or object to consistently carry out its intended purpose or produce consistent outcomes throughout time is referred to as reliability.

To calculate the reliability, we need to calculate the probability of the car making it to DC or hitchhiking to DC. Then we'll combine these probabilities using the addition rule of probability.

Let A = event that the car makes it to DC, and B = event that the car doesn't make it to DC and we hitchhike there. Then, the probability of the car making it to DC is P(A) = 0.77, and the probability of hitchhiking there if the car doesn't make it is P(B) = 0.55.

We can find the probability of getting to DC by either method using the addition rule of probability: P(A or B) = P(A) + P(B) - P(A and B)The probability of both events happening (car not making it to DC AND hitchhiking there) is unknown, but we know that these events are not independent. If the car doesn't make it to DC, then the probability of hitchhiking there is not as high as it would be if the car had made it to DC (because you would have to hitchhike further). So we can't simply multiply the probabilities of the two events.

However, we do know that the probability of the car making it to DC and then also hitchhiking there is zero (because the car would have made it to DC), so we can use the formula P(A and B) = 0. We can now plug in the values we have to get: P(A or B) = P(A) + P(B) - P(A and B) P(A or B) = 0.77 + 0.55 - 0 P(A or B) = 1.32 - 0 P(A or B) = 1.32Since probabilities are always between 0 and 1, we need to adjust our answer to fit in that range. We can do this by setting P(A or B) = 1 (since we can't have a probability greater than 1).

Therefore, the reliability of this plan is 1, or 100%. This means that we can be completely confident that we will either make it to DC in our car or hitchhike there, and we don't need to worry about any other possible outcomes.

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3. Angel, 11 years old, selects several dresses in a boutique shop and informs the manager that she wants dresses delivered to her house.
Her father refuses to pay because there are a lot of dresses in her wardrobe.
Discuss whether the boutique shop owner can recover the amount of those dresses. (40 marks)

Answers

The father's refusal to pay for the dresses is not relevant because Angel has made the contract with the shop owner, and the payment should be made by her. However, if the dresses were purchased on credit, the owner could go after the father to recover the payment since he is an adult.

The boutique shop owner can recover the amount of those dresses bought by Angel as she is of 11 years old which means she is not an adult and thus not bound by contract terms as an adult can do. But the question is not sufficient enough to determine the rightful owner of the several dresses bought by Angel.What is a boutique shop?A boutique shop is a small retail store that sells unique items or items that are specialized in one category. Boutique shops focus on delivering the highest quality products and services to its customers, which is often why they are more expensive than your regular retail store. The boutique shop owner has the right to recover the amount of those dresses purchased by Angel because she is not an adult and thus is not legally bound by the contract terms as an adult can do.Angel is too young to be legally bound by any contract terms. In this case, Angel is only 11 years old. A person under 18 years of age is considered a minor and can enter into contracts, but the law says that the minor has the right to disaffirm or void the contract at any time before they reach the age of 18.The father's refusal to pay for the dresses is not relevant because Angel has made the contract with the shop owner, and the payment should be made by her. However, if the dresses were purchased on credit, the owner could go after the father to recover the payment since he is an adult.

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a. Compute the yield to maturity on a two-year discount bond with the face value of $10,000. The price of the bond is $8,000.
b. Christina bought the two-year discount bond described above. The interest rate changed to 10% within an hour of purchasing the bond. Compute the return on the bond if she sells it.

Answers

(a) To compute the yield to maturity on a two-year discount bond, we need to find the discount rate that equates the present value of the bond's cash flows to its current price. In this case, the bond has a face value of $10,000 and a price of $8,000. By solving this equation, we can determine the yield to maturity, which represents the average annual return an investor would earn if they held the bond until maturity.

(b) If the interest rate changes to 10% after Christina purchases the bond, the bond's market price will be affected. To compute the return on the bond if she sells it, we need to calculate the new price of the bond at the 10% interest rate and compare it to the purchase price. The return on the bond is then determined by the difference between the selling price and the purchase price, relative to the purchase price.

(a) To compute the yield to maturity on a two-year discount bond, we need to solve the following equation:

Price = Sum of Present Value of Cash Flows / (1 + Yield)^1 + Sum of Present Value of Cash Flows / (1 + Yield)^2 + ... + Sum of Present Value of Cash Flows / (1 + Yield)^n

In this case, the bond has a face value of $10,000 and a price of $8,000. Since it is a discount bond, there are no coupon payments, and the only cash flow occurs at maturity. Therefore, the equation simplifies to:

$8,000 = $10,000 / (1 + Yield)^2

Solving for Yield gives us the yield to maturity.

(b) If the interest rate changes to 10% after Christina purchases the bond, the new price of the bond will be affected. To calculate the new price, we discount the face value of $10,000 by the new interest rate of 10% for the remaining two years. The new price can be calculated as:

New Price = $10,000 / (1 + 0.10)^2

The return on the bond is then determined by subtracting the purchase price of $8,000 from the new selling price and dividing it by the purchase price:

Return = (New Price - Purchase Price) / Purchase Price

This represents the percentage return that Christina would earn if she sells the bond after the interest rate change.

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About Engineering Economy
A farmer has 8ha of agricultural land, the farmer will plant the land with rice and corn.
From 1 ha of rice plants can be harvested 3 tons of rice, while from 1 ha of corn plants can be harvested 4 tons of corn.
This farmer wants to get a yield of not less than 30 tons. If the cost of planting 1 ha of rice plants is 500 thousand and the cost of planting 1 ha of corn is 600 thousand,
Question :
then what is the minimum cost that must be paid by the farmer?

Answers

The minimum cost that must be paid by the farmer is 4.8 million.

To calculate the minimum cost, we need to determine the optimal allocation of land between rice and corn to achieve a yield of at least 30 tons.

Let's assume x represents the area (in hectares) allocated to rice plants and (8-x) represents the area allocated to corn plants. The total yield can be expressed as 3x (tons of rice) + 4(8-x) (tons of corn).

To meet the condition of a minimum yield of 30 tons, we can set up the following equation:

3x + 4(8-x) ≥ 30

Simplifying the equation:

3x + 32 - 4x ≥ 30

-x ≥ -2

x ≤ 2

Since x represents the area allocated to rice plants, the maximum value for x is 2 hectares.

To minimize the cost, the farmer should allocate 2 hectares to rice and (8-2) = 6 hectares to corn.

The total cost is calculated as follows:

Cost of rice plantation = 2 hectares x 500 thousand = 1 million

Cost of corn plantation = 6 hectares x 600 thousand = 3.6 million

Therefore, the minimum cost that must be paid by the farmer is 1 million + 3.6 million = 4.8 million.

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