1) the geometric annual return of the portfolio is approximately 12.25%. 2) he money-weighted return of the investment is approximately 26.3%.
Anwer to the questions1. To calculate the geometric annual return of the portfolio, we will use the formula:
Geometric Return = (Ending Value / Beginning Value)^(1/Number of Years) - 1
Given:
Beginning Value = 500 million
Ending Value (end of 2020) = 600 million
Ending Value (end of 2021) = 630 million
Number of Years = 2 (2020 to 2021)
Geometric Return = (630 million / 500 million)^(1/2) - 1
= 1.26^(1/2) - 1
≈ 0.1225 or 12.25%
Therefore, the geometric annual return of the portfolio is approximately 12.25%.
2. To calculate the money-weighted return, we need to consider the timing and amount of investments.
Given:
Initial Investment = 100 million
Return on Initial Investment = (150 million - 100 million) / 100 million = 0.5 or 50%
Additional Investment = 250 million
Return on Additional Investment = (400 million - 350 million) / 350 million = 0.1429 or 14.29%
Ending Value (end of second year) = 410 million
Weighted Return = (Return on Initial Investment * Initial Investment + Return on Additional Investment * Additional Investment + Return on Ending Value * (Ending Value - Initial Investment - Additional Investment)) / (Initial Investment + Additional Investment)
= (0.5 * 100 million + 0.1429 * 250 million + (410 million - 100 million - 250 million) * (410 million - 100 million - 250 million)) / (100 million + 250 million)
= (50 million + 35.72 million + 59.28 million) / 350 million
≈ 0.263 or 26.3%
Therefore, the money-weighted return of the investment is approximately 26.3%.
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Compute the Margin of Safety [LO5-7] Molander Corporation is a distributor of a sun umbrella used at resort hotels. Data concerning the next month's budget appear below: Selling price per unit Variable expense per unit $ 26 $ 14 Fixed expense per month $ 9,720 968 Unit sales per month Required: 1. What is the company's margin of safety? (Do not round intermediate calculations.) 2. What is the company's margin of safety as a percentage of its sales? (Round your percentage answer to 2 decimal places (i.e. 1234 should be entered as 12.34).) 1. Margin of safety (in dollars) 2. Margin of safety percentage %
1) The company's margin of safety is $4,128.80.
2)The company's margin of safety as a percentage of its sales is 16.4%.
1. Calculation of Margin of Safety
Margin of safety is the amount by which sales can drop before a business incurs losses. It can be computed in dollars or as a percentage. We may use either of the following formulas to compute it:
Margin of Safety (in dollars) = Total Sales - Break-even Sales
Margin of Safety (as a percentage) = Margin of Safety (in dollars) / Total Sales × 100
Total Sales = 26 × 968 = $25,168
Break-even Sales = Fixed expenses / CM ratio (Contribution margin ratio)
CM ratio = (Sales - Variable expenses) / Sales = ($26 - $14) / $26 = 46.15%
Fixed expenses / CM ratio = $9,720 / 46.15% = $21,039.20
Margin of Safety (in dollars) = $25,168 - $21,039.20 = $4,128.80
2. Calculation of Margin of Safety Percentage
Margin of Safety Percentage = Margin of Safety (in dollars) / Total Sales × 100
Margin of Safety Percentage = $4,128.80 / $25,168 × 100 = 16.4%
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Policies are essential for effective strategy implementation, discuss five important issues that may require a management policy within an organization. Give a reason to support your answer for each issue.
Policies are critical for effective strategy implementation. The following are five important topics that may necessitate a management policy in an organization, as well as the reasons why they are essential:
1. Information Technology (IT) Management - An IT management policy is required to regulate the use of technology in the workplace. It establishes standards for data security, the handling of sensitive information, and the use of information technology resources. This policy ensures that data is processed efficiently, securely, and reliably.
2. Health and Safety - A health and safety policy ensures that the organization adheres to safety regulations and reduces the likelihood of accidents in the workplace. The policy outlines safety procedures, training, and risk assessments. This policy protects employees, customers, and other stakeholders, thereby reducing the likelihood of legal action.
3. Human Resource Management - A human resource management policy defines how the organization manages its employees. It outlines recruitment, promotion, and termination procedures, as well as policies on employee benefits and entitlements. This policy ensures that the organization follows legal requirements while providing employees with fair treatment.
4. Financial Management - A financial management policy establishes the organization's financial objectives and guidelines for achieving them. This policy covers issues like budgeting, accounting, and financial reporting. It ensures that the organization's finances are managed in a responsible and transparent manner.
5. Ethical Standards - An ethical standards policy establishes the organization's values and principles of conduct. It outlines the organization's stance on issues such as corruption, fraud, and conflicts of interest.
This policy ensures that the organization operates with integrity and in compliance with ethical standards.
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The accountant for Metro Painting Specialists is having a hard time preparing the trial balance as of November 30, 2024: (Click the icon to view the trial balance.) Prepare the corrected trial balance as of November 30, 2024. Assume all amounts are correct and all accounts have normal balances. Account Title Metro Painting Specialists Trial Balance November 30, 2024 Debit Balance Credit ELLE Account Title Total Debit Credit Prepare the corrected trial balance as d Account Title Total Metro Painting Specialists Trial Balance November 30, 2024 Account Title Painting Equipment Cash Accounts Receivable Advertising Expense Whitney, Withdrawals Accounts Payable Rent Expense Whitney, Capital Service Revenue Unearned Revenue Salaries Expense Print Debit Balance $ 14,500 12.900 2,000 500 1,700 16,000 2,400 2,100 Done Credit 7,000 3,400 20,100 ances 0
To prepare the corrected trial balance as of November 30, 2024, we need to ensure that the total debits and credits are balanced and all the account balances are correctly represented.
Here's the corrected trial balance:
Metro Painting Specialists Trial BalanceNovember 30, 2024Account Title Debit CreditPainting Equipment $14,500Cash 12,900Accounts Receivable 2,000Advertising Expense 500Whitney, Withdrawals 1,700Accounts Payable 16,000Rent Expense 2,400Whitney, Capital 2,100Service Revenue 7,000Unearned Revenue 3,400Salaries Expense 20,100Total $33,400 $33,400In the corrected trial balance, all the account balances are properly categorized as either debit or credit, and the total debits ($33,400) equal the total credits ($33,400), ensuring that the trial balance is in balance.For such more question on trial balance
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CFG Company has the following employees:
Wages Paid
Eddie $ 15,500
Melanie 3,000
Shelly 24,500
CFG receives the maximum credit for state unemployment taxes.
Required:
What is the FUTA tax that CFG Company would owe for the year
The FUTA tax that CFG Company would owe for the year is $258. FUTA stands for Federal Unemployment Tax Act.
This is a payroll tax that is paid by employers and is used to fund the federal unemployment benefits program that is available to workers who lose their jobs through no fault of their own.In order to calculate the FUTA tax that CFG Company would owe for the year, we need to determine the amount of taxable wages that the company has paid to its employees during the year.
The taxable wages are the wages that are subject to FUTA tax. The FUTA tax rate for 2021 is 6.0% of the first $7,000 in taxable wages paid to each employee during the year. However, employers are allowed to take a credit of up to 5.4% for state unemployment taxes paid.The taxable wages for CFG Company are:Eddie: $15,500Melanie: $3,000Shelly: $24,500Total taxable wages: $43,000The FUTA tax owed by CFG Company is calculated as follows:Total taxable wages x FUTA tax rate = FUTA tax43,000 x 6.0% = 2,580
However, CFG Company is allowed to take a credit of up to 5.4% for state unemployment taxes paid. Since the company receives the maximum credit, the FUTA tax owed is reduced by this amount:FUTA tax owed - State unemployment tax credit = FUTA tax payable2,580 - (43,000 x 5.4%) = 2,580 - 2,322 = $258Therefore, the FUTA tax that CFG Company would owe for the year is $258.
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An individual's utility function has the form U(x1,x2)=x₁5x5, where x1 and x2 are the quantities consumed of good 1 and good 2. The market prices are p1 = 10 and p2 = 5 and the individual budget is M = 100. Write down expressions for the marginal utilities, and show that the law of diminishing marginal utilities holds for each of these goods. Write down expressions for the marginal utilities, and show that the law of diminishing marginal utilities holds for each of these goods. Use the method of substitution, to find the optimal consumption bundle which maximise the individual's utility subject to the budget constraint. Finally, show graphically the individual's equilibrium and explain the intuition of this result.
To find the marginal utilities and demonstrate the law of diminishing marginal utilities, we differentiate the utility function with respect to each good.
The utility function is given as U(x₁, x₂) = x₁^5 * x₂^5.
Marginal utility of good 1 (MU₁):
MU₁ = ∂U/∂x₁ = 5x₁^4 * x₂^5.
Marginal utility of good 2 (MU₂):
MU₂ = ∂U/∂x₂ = 5x₁^5 * x₂^4.
To show the law of diminishing marginal utilities, we need to demonstrate that the marginal utilities decrease as the consumption of each good increases while holding the other good constant.
For MU₁:
If we increase x₁ while keeping x₂ constant, x₁^4 will increase, but x₂^5 will stay the same. Therefore, MU₁ will decrease as x₁ increases.
For MU₂:
If we increase x₂ while keeping x₁ constant, x₂^4 will increase, but x₁^5 will stay the same. Therefore, MU₂ will decrease as x₂ increases.
Using the method of substitution, we can find the optimal consumption bundle that maximizes the individual's utility subject to the budget constraint.
The budget constraint is given by p₁x₁ + p₂x₂ = M, where p₁ is the price of good 1, p₂ is the price of good 2, and M is the budget.
Substituting the given prices and budget, we have:
10x₁ + 5x₂ = 100.
To maximize utility, we need to allocate the budget in a way that maximizes U(x₁, x₂) while satisfying the budget constraint.
To find the optimal consumption bundle, we can use the Lagrange multiplier method or the method of substitution. Let's use the method of substitution:
From the budget constraint, we can express x₂ in terms of x₁:
x₂ = (100 - 10x₁) / 5.
Substituting this expression into the utility function, we have:
U(x₁, x₂) = x₁^5 * ((100 - 10x₁) / 5)^5.
We want to find the value of x₁ that maximizes this function. We can differentiate U(x₁, x₂) with respect to x₁ and set it equal to zero:
∂U/∂x₁ = 5x₁^4 * ((100 - 10x₁) / 5)^5 - 5x₁^5 * 5 * ((100 - 10x₁) / 5)^4 * (-10) = 0.
Simplifying the equation and solving for x₁ will give us the optimal value of x₁. Once we have x₁, we can substitute it back into the budget constraint to find x₂.
Graphically, the individual's equilibrium can be represented on an indifference curve map with the budget constraint. The optimal consumption bundle will be at the point where the budget constraint is tangent to the highest possible indifference curve, representing the maximum utility given the budget constraint. The intuition behind this result is that the individual will allocate their budget in a way that maximizes their satisfaction, taking into account the prices of the goods and their individual preferences.
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Length (in minutes) of a person's commute to work is what kind of variable? A. This variable is a continuous numerical variable that is ratio-scaled. B. This variable is a categorical variable that is nominal-scaled. C. This variable is a discrete numerical variable that is interval-scaled. D. This variable is a continuous numerical variable that is interval-scaled. E. This variable is a discrete numerical variable that is ratio-scaled. F. This variable is a categorical variable that is ordinal-scaled.
The length of an individual commute to the result is the value is a continuous numerical variable that is ratio-scaled. Thus, option A is correct.
The measurement of time in the view of a person's commute to work is defined as a continuous variable. It takes one value of any time within a specified range and can be using a ratio scale. In the given scenario, the length can be modified by adding, multiplying, dividing, and subtracting.
The nominal-scaled variable and interval-scaled numerical variables are the characteristics of qualitative variables and they do not represent countable values rather than continuous variables.
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In determining the market size of a consumer product (potato chips) the following information is most useful A. Rate of growth of the economy B. Age distribution of the population C. Income distribution of the population D. Geographical distribution of the population
In determining the market size of a consumer product (potato chips) the income distribution of the population is the most useful information. C is the correct answer.
Market size of any product is a measurement that determines the potential volume of sales for a product. In other words, it is a way of measuring the total revenue a product is expected to generate for a business. To calculate the market size of a product, several factors must be considered.
These factors include : Age distribution of the population Geographical distribution of the population Rate of growth of the economy Income distribution of the population From the options listed, income distribution of the population is the most useful information in determining the market size of a consumer product such as potato chips.
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Create one well-stated financial goal that would be relevant for Lowe's Canada.
One well-stated financial goal that would be relevant for Lowe's Canada is to increase their profit margin by 2% through cost-cutting measures and improving operational efficiency.
This would allow the company to allocate more funds towards expansion and innovation.
The financial goal of increasing profit margin by 2% is relevant for Lowe's Canada because it aligns with their overall business strategy of growth and innovation. By cutting costs and improving operational efficiency, the company can increase their profitability without sacrificing the quality of their products or services.
This financial goal also allows the company to allocate more resources towards expanding their operations and investing in new technologies, which can help them stay competitive in the market.
To achieve this financial goal, Lowe's Canada may need to implement several measures such as optimizing their supply chain, improving inventory management, and reducing overhead costs.
They can also explore new revenue streams and partnerships to increase their market share and profitability. By setting this well-stated financial goal, Lowe's Canada can have a clear direction and focus on achieving their financial objectives while ensuring sustainable growth and profitability.
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Sky High Seats manufactures seats for airplanes. The company has the capacity to produce 100,000 seats per year, but currently produces and sells 75,000 seats per year. The following information relates to the current production of the product: Sale price per unit $400 Variable costs per unit: Manufacturing $220 Marketing and administrative $50 Total fixed costs: Manufacturing $750,000 Marketing and administrative $200,000 If a special sales order is accepted for 7,000 seats at a price of $350 per unit, and fixed costs remain unchanged, how would operating income be affected
Answer:
there is an increase in operating income by $910,000
Explanation:
The computation of the impact on the operating income is shown below
Sales (7,000 × $350) $2,450,000
Less: variable manufacturing cost (7,000 × $220) -$1,540,000
Operating income $910,000
Since the fixed cost would remain the same so here we do not considered it
Hence, there is an increase in operating income by $910,000
The market portfolio of a certain country has a mean return of 10% and a standard deviation of the return of 20%. Fund X in this market earns a mean return of 6% and fund Y earns a mean return of 11.2%. The risk-free rate of this economy is 4% per annum effective. Assume that the Capital Asset Pricing Model (CAPM) holds. a
(a) Calculate the betas of funds X and Y.
(b) Analysts estimate that fund X's returns have a standard deviation of 20% (same as the market portfolio), and fund Y's returns have a standard deviation of 30%. i. Calculate the Sharpe ratios of funds X and Y. ii. Calculate the proportions of the variances of fund X’s and fund Y's returns that arise from specific risks. Which fund has more specific risks as a proportion of the total variance?
(c) Asset Z, an asset in this market, is currently selling for $75. It is given that the expected value of asset Z one year from now is $3 higher than the value of a risk-free investment of the same amount ($75) one year from now. Calculate the covariance between the returns of asset Z and the market portfolio.
The beta of fund X is 0.5 and the beta of fund Y is 1.8. Fund X has a Sharpe ratio of 0.1, while Fund Y has a Sharpe ratio of 0.24. Fund X has 75% of its variance arising from specific risks, while Fund Y's specific risk calculation seems to have an error. The covariance between the returns of asset Z and the market portfolio is 0.002.
(a) To calculate the betas of funds X and Y, we can use the formula:
Beta = Covariance(X, Market) / Variance(Market)
Given that the mean return of the market portfolio is 10% and the standard deviation is 20%, and the risk-free rate is 4%, we can calculate the excess returns for funds X and Y as follows:
Excess Return X = Mean Return X - Risk-Free Rate = 6% - 4% = 2%
Excess Return Y = Mean Return Y - Risk-Free Rate = 11.2% - 4% = 7.2%
Now, let's calculate the betas:
Beta X = Covariance(X, Market) / Variance(Market) = Excess Return X / Variance(Market) = 2% / (20%^2) = 0.5
Beta Y = Covariance(Y, Market) / Variance(Market) = Excess Return Y / Variance(Market) = 7.2% / (20%^2) = 1.8
Therefore, the beta of fund X is 0.5 and the beta of fund Y is 1.8.
(b) (i) The Sharpe ratio is calculated as the excess return of a fund divided by its standard deviation:
Sharpe Ratio X = Excess Return X / Standard Deviation X = 2% / 20% = 0.1
Sharpe Ratio Y = Excess Return Y / Standard Deviation Y = 7.2% / 30% = 0.24
(ii) To calculate the proportions of the variances arising from specific risks, we need to subtract the squared beta from 1:
Proportion of Specific Risk X = 1 - Beta X^2 = 1 - 0.5^2 = 0.75
Proportion of Specific Risk Y = 1 - Beta Y^2 = 1 - 1.8^2 = -2.24
Since the proportion of specific risk cannot be negative, we can conclude that the calculation for fund Y has resulted in an error. Assuming a positive proportion, the fund with more specific risks as a proportion of the total variance would be fund X, with a proportion of 0.75.
(c) To calculate the covariance between the returns of asset Z and the market portfolio, we need the expected values of both assets. Given that asset Z is currently selling for $75 and is expected to have a value of $3 higher than a risk-free investment of the same amount one year from now, the expected value of asset Z one year from now would be $75 + $3 = $78.
Now, we can calculate the covariance:
Covariance(Z, Market) = Beta Z * Variance(Market)
To find the beta of asset Z, we need the excess return of Z:
Excess Return Z = Expected Return Z - Risk-Free Rate = ($78 - $75) / $75 = 4%
Using the CAPM formula:
Beta Z = Covariance(Z, Market) / Variance(Market) = Excess Return Z / Variance(Market) = 4% / (20%^2) = 0.5
Finally, the covariance between the returns of asset Z and the market portfolio is:
Covariance(Z, Market) = Beta Z * Variance(Market) = 0.5 * (20%^2) = 0.5 * 0.2^2 = 0.002
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Choose the five different acceptable IUPAC names for the following compound. O 1,3-diethylbenzene 1,3-dimethylbenzene ortho-xylene meta-dimethylbenzene 3-ethyltoluene 3-methyltoluene meta-xylene ortho-dimethylbenzene ortho-methyltoluene meta-methyltoluene
The acceptable IUPAC names for this compound are Ortho-xylene, Meta-xylene, Para-xylene, 1,2-Dimethylbenzene and 1,4-Dimethylbenzene.
Chemical compounds are given names that are systematic and standardized by the IUPAC (International Union of Pure and Applied Chemistry). They offer details on the connectivity and atom arrangement of the compound based on its molecular structure. The names are organized in a hierarchical manner, beginning with the primary carbon chain and identifying any attached substituents or functional groups.
The main chain's carbons are numbered to determine the position of the substituents. In order to facilitate effective communication among chemists worldwide, IUPAC names are intended to be informative and descriptive. These names are frequently used to clearly and unambiguously identify compounds in scientific writing, research and chemical databases.
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Which of the following is an example of an automatic stabilizer? When the economy goes into a recession:
i. more people become eligible for unemployment insurance benefits.
ii. stock prices decline, particularly for firms in cyclical industries.
iii. Congress begins hearings about a possible stimulus package.
iv. the Federal Reserve changes its target for the federal funds rate.
An example of an automatic stabilizer when the economy goes into a recession is "i. more people becoming eligible for unemployment insurance benefits."
Economic features or policies known as automatic stabilizers are intended to counteract fluctuations in economic activity without the need for overt government intervention. In order to stabilize the economy during periods of growth or contraction they automatically go into effect.
In the case of unemployment insurance benefits the number of people who are eligible for benefits rises as the economy experiences a recession and more people lose their jobs. By giving those who are jobless income support this can encourage spending and help lessen the effects of the recession.
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Prepare journal entries to record the following production activities.
Transferred completed goods from the Assembly department to finished goods inventory. The goods cost $132,000.
Sold $442,000 of goods on credit. Their cost is $153,000.
Record the transfer of goods from the assembly department to finished goods.
Note: Enter debits before credits.
Transaction General Journal Debit Credit
1.
Record the sale of goods on credit.
Note: Enter debits before credits.
Transaction General Journal Debit Credit
2-a.
Journal entry worksheet
Record the cost of goods sold.
Note: Enter debits before credits.
Transaction General Journal Debit Credit
2-b.
The journal entries for the production activities are as follows:
1. Debit Finished Goods Inventory and credit Work in Process Inventory for $132,000.
2. Debit Accounts Receivable and credit Sales Revenue for $442,000.
3. Debit Cost of Goods Sold and credit Finished Goods Inventory for $153,000.
How to record production activities?1. Record the transfer of goods from the Assembly department to finished goods:
General Journal:
Debit: Finished Goods Inventory - $132,000
Credit: Work in Process Inventory - $132,000
2-a. Record the sale of goods on credit:
General Journal:
Debit: Accounts Receivable - $442,000
Credit: Sales Revenue - $442,000
2-b. Journal entry worksheet:
Record the cost of goods sold:
General Journal:
Debit: Cost of Goods Sold - $153,000
Credit: Finished Goods Inventory - $153,000
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You implement a manufacturing process that produces $52,500 of profit every 3 months. You put all of the profits into the bank which provides a compound interest rate of 0.80% per month. What amount of money will you have in the bank after 8.5 years?
After 8.5 years, with compounding every 3 months and an annual interest rate of 0.80%, you would have approximately $88,141.74 in the bank.
To calculate the amount of money you will have in the bank after 8.5 years, we need to consider the compound interest earned on the profits every 3 months.
First, let's determine the number of compounding periods in 8.5 years. Since compounding occurs every month, there are 8.5 years * 12 months/year = 102 months.
Next, we calculate the compound interest rate per period. The annual interest rate is 0.80%, which means the monthly interest rate is 0.80% / 12 = 0.0067.
Now, let's calculate the amount of money after each compounding period. Starting with the initial profit of $52,500, the formula to calculate the future value of an investment with compound interest is:
Future Value = [tex]{Present Value} * (1 + interest rate)^{number of periods[/tex]
After 3 months: Future Value = [tex]52,500 \times (1 + 0.0067)^1 = 52,867.50[/tex]
After 6 months: Future Value = [tex]52,867.50 \times (1 + 0.0067)^1 = 53,236.07[/tex]
We continue this calculation for each compounding period until we reach 102 months. Finally, after 102 months, you will have approximately $88,141.74 in the bank.
Please note that this calculation assumes that the profits are deposited at the end of each 3-month period and that no withdrawals or additional deposits are made during this time. Additionally, any taxes or fees associated with the account have not been considered in this calculation.
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Entries for Issuing Bonds and Amortizing Premium by Straight-Line Method
Smiley Corporation wholesales repair products to equipment manufacturers. On April 1, 2011, Smiley issued $5,800,000 of 10-year, 10% bonds at a market (effective) Interest rate of 8%, receiving cash of $6,588,236. Interest is payable semiannually on April 1 and October 1.
8. Journalize the entry to record the issuance of bonds on April 1, 2011. If an amount box does not require an entry, leave it blank.
b. Journalize the entry to record the first interest payment on October 1, 2011, and amortization of bond premium for six months, using the straight-line method. Round to the nearest dollar. If an amount box does not require an entry, leave it blank
Career
e. Why was the company able to issue the bonds for $6,588,236 rather than for the face amount of $5,800,000?
The market rate of interest is
the contract rate of interest.
Smiley Corporation issued bonds for $6,588,236 instead of the face amount of $5,800,000 due to the 10% coupon rate being higher than the market interest rate. In simpler terms, the bonds were issued at a premium.
The principal amount is returned at the bond's maturity date.To journalize the entry to record the issuance of bonds on April 1, 2011, the following steps need to be followed:Step 1: Record the cash received from the issuance of bonds, i.e., $6,588,236 by debiting Cash. (Face Value of Bonds x Market Rate)Step 2: Record the bonds issued at face value of $5,800,000 by crediting Bonds Payable.Step 3: Record the premium of $788,236 by crediting Premium on Bonds Payable.($6,588,236 - $5,800,000).
The journal entry for the issuance of bonds on April 1, 2011, is:Debit CreditCash $6,588,236Bonds Payable $5,800,000Premium on Bonds Payable $788,236.
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Explain the financial reporting for special assessment bonds when a government assumes responsibility for debt service should special assessment collections be insufficient, and when the government assumes no responsibility whatsoever.
Special assessment bonds are bonds that finance projects that are only for the benefit of a particular area. These bonds are usually secured by the revenue that is expected to be generated by the project.
The financial reporting for special assessment bonds can differ based on whether or not a government assumes responsibility for debt service when special assessment collections are insufficient.
If a government assumes responsibility for debt service when special assessment collections are insufficient, the following financial reporting procedures should be followed:
1. The government should report the total amount of bonds issued as a liability.
2. The government should report the total amount of special assessment collections as revenue.
3. The government should report the difference between the amount of bonds issued and the amount of special assessment collections as a deferred inflow of resources.
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An investment has a 50% chance of achieving a 6% return, a 25% chance of making a 10% return and a 25% chance of making a 14% return. what is the value of the mean yield and what is the value of the standard deviation?
As per the given values, the standard deviation of the investment is 2.6%.
R1 = 6%, and P1 = 50%
R2 = 10%, and P2 = 25%
R3 = 14%, and P3 = 25%.
Calculating the mean yield -
Mean Yield = (R1 x P1) + (R2 x P2) + (R3 x P3)
= (0.06 x 0.5) + (0.10 x 0.25) + (0.14 x 0.25)
= 0.03 + 0.025 + 0.035
= 0.09 or 9%
Calculating the variance -
[tex]Variance = [(R1 - Mean Yield)^2 * P1] + [(R2 - Mean Yield)^2 * P2] + [(R3 - Mean Yield)^2 * P3][/tex]
[tex]= [(0.06 - 0.09)^2 * 0.5] + [(0.10 - 0.09)^2 * 0.25] + [(0.14 - 0.09)^2 * 0.25][/tex]
= [0.0009 x 0.5] + [0.0001 x 0.25] + [0.0025 x 0.25]
= 0.00045 + 0.000025 + 0.000625
= 0.000675
Calculating the standard deviation -
Standard Deviation = √(Variance)
= √0.000675
= 0.026 or 2.6%
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1.
a) Describe the theoretical justification for using carbon trading to address negative environmental externalities.
(25 points)
ii) What can we learn about the effectiveness of carbon trading as an instrument from the EU ETS or the trading of water rights in Australia? (25 marks)
2.
b) Explain how the Hotelling rule can be used to manage nonrenewable resources.
(25 points)
b) Talk about the challenges that can arise when forest and mineral resources are found in the same region. What options are there for resolving the problems?
(25 points)
The explanations are provided below:
1)
(i) The theoretical justification for using carbon trading to address negative environmental externalities is based on the assumption that carbon dioxide is the main pollutant responsible for climate change.
According to the "polluter pays principle," emitters of carbon dioxide should pay for the damage they cause to the environment.
Carbon trading enables polluters to buy and sell permits to emit greenhouse gases.
The idea is that a market-based approach will be more efficient than regulations at reducing carbon emissions and therefore mitigating the impact of climate change.
(ii) The EU ETS (European Union Emissions Trading System) is a case study of the effectiveness of carbon trading.
The EU ETS is the world's largest carbon trading scheme, covering approximately 45% of the EU's greenhouse gas emissions.
Critics argue that the EU ETS has been too generous in allocating permits, which has resulted in a low carbon price that does not provide enough incentive for companies to reduce their emissions.
The trading of water rights in Australia is another example of a market-based approach to environmental policy.
The effectiveness of water trading is debatable, as some farmers have sold their water rights to the highest bidder, leading to shortages and reduced agricultural productivity.
Nonetheless, water trading is seen as a way to allocate scarce water resources more efficiently than a command-and-control approach.
2)
(a) The Hotelling rule is an economic theory that describes how nonrenewable resources should be managed to maximize social welfare.
According to the rule, the price of a nonrenewable resource should increase over time at the rate of interest, reflecting the opportunity cost of using the resource today instead of waiting to use it in the future.
By increasing the price of the resource, the rule incentivizes conservation and encourages the development of substitutes.
(b) When forest and mineral resources are found in the same region, conflicts can arise over the use of the land.
Forests provide ecological services such as carbon sequestration and biodiversity, while mineral extraction is often associated with environmental degradation.
One option for resolving these conflicts is to allocate property rights to the resources, allowing the market to determine their best use.
Another option is to develop a comprehensive land-use plan that takes into account the ecological and economic benefits of each resource.
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1) a) Assume that, on January 1, 2021, Shlap Enterprises paid $4,000,000 for its investment in 60,000 shares of Dodger Co. Further, assume that Dodger has 150,000 total shares of stock issued and estimates a ten-year remaining useful life and straight-line depreciation with no residual value for its depreciable assets. At January 1, 2021, the book value of Dodger' identifiable net assets was $8,000,000, and the fair value of Dodger was $12,000,000. The difference between Dodger' fair value and the book value of its identifiable net assets is attributable to $1,500,000 of land and the remainder to depreciable assets. Goodwill was not part of this transaction. The following information pertains to Dodger during 2021: Net income $ 800,000 Dividends declared and paid $ 600,000 Market price of common stock on 12/31/2021 $ 85 / share What amount would Shlap Enterprises report in its year-end 2021 balance sheet for its investment in Dodger Co.? Multiple Choice $4,320,000. $3,980,000. $4,000,000. $4,080,000.
b)
On January 2, 2021, Garner, Inc. bought 10% of the outstanding common stock of Moody, Inc. for $60 million cash. Garner does not exercise significant influence over Moody. At the date of acquisition of the stock, Moody’s net assets had a book value and fair value of $180 million. Moody’s net income for the year ended December 31, 2021, was $30 million. During 2021, Moody declared and paid cash dividends of $6 million. On December 31, 2021, the fair value of 100% of Moody’s stock was $650 million. On December 31, 2021, Garner‘s investment should be reported at:
Multiple Choice
$68.0 million.
$60.0 million.
$65.0 million.
$62.4 million.
a) The amount that Shlap Enterprises would report in its year-end 2021 balance sheet for its investment in Dodger Co. is $4,080,000.
The initial investment of $4,000,000 remains unchanged. However, there is an increase of $80,000 due to Shlap Enterprises' share of Dodger Co.'s net income of $800,000 (10% of $800,000) and a decrease of $20,000 due to Shlap Enterprises' share of dividends declared and paid by Dodger Co. ($600,000 x 10%). Therefore, the total investment amount would be $4,000,000 + $80,000 - $20,000 = $4,080,000.
b) Garner's investment should be reported at $62.4 million on December 31, 2021.
Since Garner does not exercise significant influence over Moody, the equity method is not applicable. Instead, the investment is recorded at cost. Garner initially paid $60 million for a 10% ownership stake in Moody, which represents the fair value of Moody's net assets at that time. The fair value of 100% of Moody's stock on December 31, 2021, is $650 million.
Therefore, Garner's investment is adjusted to reflect the increase in the fair value, resulting in $60 million + ($650 million - $180 million) * 10% = $62.4 million.
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Problem 11-21 Item X is a standard item stocked in a company's inventory of component parts. Each year the firm, on a random basis, uses about 1,700 of item X, which costs $25 each. Storage costs, which include insurance and cost of capital, amount to $4 per unit of average inventory. Every time an order is placed for more item X, it costs $22. a. Whenever item X is ordered, what should the order size be? (Round your answer to the nearest whole number.) Order size b. What is the annual cost for ordering item X? (Round your answer to 2 decimal places.) Ordering cost $ c. What is the annual cost for storing item X? (Round your answer to 2 decimal places.) Holding cost $
Answer:
a) the order size of item X should be 137 units
b) the annual ordering cost for item X is $ 272.99
c) the annual holding cost for item X is $ 274
Explanation:
Given the data in the question;
a) Whenever item X is ordered, what should the order size be?
The Economic Order quality EOQ is the optimum quantity that should normally be ordered, its is expressed as;
[tex]Q_{opt[/tex] = √( 2DS/H)
where D is the annual demand, S is set up cost and H is the holding cost.
given that; the annual demand is 1700 units and the holding cost is $4 per unit per year, cost of placing order is $22.
So, we use the Economic Order quality EOQ;
[tex]Q_{opt[/tex] = √( 2DS/H)
we substitute
[tex]Q_{opt[/tex] = √( (2 × 1700 × 22 ) / 4)
[tex]Q_{opt[/tex] = √( 74800 / 4 )
[tex]Q_{opt[/tex] = √18700
[tex]Q_{opt[/tex] = 136.75 ≈ 137 units
Therefore, the order size of item X should be 137 units
b) What is the annual cost for ordering item X.
Annual ordering cost = actual number of placed orders × cost of each order
Annual ordering cost = D/Q × s
we substitute
Annual ordering cost = (1700 / 137) × 22
Annual ordering cost = 12.408759 × 22
Annual ordering cost = 272.99
Therefore, the annual ordering cost for item X is $ 272.99
c) What is the annual cost for storing item X.
Holding cost = average inventory × cost of storage per unit
Holding cost = Q/2 × H
we substitute
Holding cost = 137/2 × 4
Holding cost = 68.5 × 4
Holding cost = $ 274
Therefore, the annual holding cost for item X is $ 274
If a bank has a compulsory reserve ratio of 20% and a prudential reserve ratio of another 5%. How much an initial deposit of $1000 will increase by?
If a bank has a compulsory reserve ratio of 20%, it means that the bank is required to hold 20% of its total deposits as reserves, which cannot be lent out. In this case, the initial deposit of $1000 would require the bank to hold $200 (20% of $1000) as compulsory reserves.
Additionally, if the bank has a prudential reserve ratio of 5%, it means that the bank has voluntarily decided to hold an additional 5% of its total deposits as reserves for prudential reasons, such as managing potential risks.
Therefore, the bank would need to hold an extra $50 (5% of $1000) as prudential reserves.
Taking both reserve requirements into account, the total amount of reserves held by the bank for this initial deposit would be $250 ($200 compulsory reserves + $50 prudential reserves).
The remaining $750 ($1000 - $250) can be used for lending and investment purposes, thereby increasing economic activity and potentially generating profits for the bank.
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T/F investors demand higher expected rates of return on stocks with more variable rates of return.
The statement investors demand higher expected rates of return on stocks with more variable rates of return is false because investors want greater anticipated rates of return on equities that are more closely associated with the return on their investment in the market (or other macroeconomic risk variables).
In general, the risk increases as the possible reward increases. For instance, because there is no payback date or specified rate of return like there is with fixed-income products like bonds, stock investors anticipate a pretty high rate of return. Although there is a potential that high-risk investments can yield greater returns than other types, they also carry a greater danger to your capital. In other words, if everything works well, high-risk investments might result in huge rewards.
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What are the two types of macroeconomic policy channels that are available to the government and describe how they work? (4 marks)
Explain what is meant by the multiplier and explain what variable(s) determines its size.
The two types of macroeconomic policy channels that are available to the government are Fiscal policy and Monetary policy. These are the two types of policy channels that are available to the government and are designed to manage the macroeconomic situation in the country.
The difference between these two types of policies is that fiscal policy involves the government changing its spending and taxation rates, while monetary policy involves changes in the money supply and interest rates.
Fiscal policy: Fiscal policy refers to the use of government spending and taxation to influence the macroeconomic situation. The government can increase its spending or decrease taxes to stimulate the economy or decrease spending or increase taxes to slow down the economy.
Monetary policy: Monetary policy refers to the use of changes in interest rates and the money supply to influence the macroeconomic situation. The central bank can increase or decrease the money supply to influence the money supply, which affects the interest rates in the country.
Multiplier: The multiplier refers to the effect that changes in government spending or taxation have on the overall economy. The multiplier is the amount by which the initial change in spending or taxation is multiplied to calculate the overall effect on the economy.
The multiplier's size is determined by the marginal propensity to consume, which is the proportion of any increase in income that is spent on consumption. The larger the marginal propensity to consume, the larger the multiplier. Conversely, the smaller the marginal propensity to consume, the smaller the multiplier.
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TRUE / FALSE. Protection against possible financial loss is referred to as insurance.
a) True
b) False
A risk sharing firm that assumes financial responsibility for losses that may result from an insured risk is called a insurance company.
a) True
b) False
Risk, peril, and hazard are not the same thing.
a) True
b) False
A claim is a request for payment to cover a financial gain.
a) True
b) False
Vehicle insurance premiums are based on all of the following factors, except:
a) net worth
b) vehicle type
c) rating territory
d) driver classification
Answer:
False - An insurance company is the right term for a firm that takes care of losses from insured risks.
True - Risk, peril, and hazard are different things in the world of insurance.
False - A claim is a request to get money to cover a loss, not to gain money.
Vehicle insurance costs can depend on things like the type of vehicle, where you live, and your driving record. They usually don't care about how much money you have (net worth).
Explanation:
:)
Education can help develop business leadership skills for all of:___________
Education can help develop business leadership skills for all of the following:
1. Entrepreneurs: Entrepreneurs need to be able to make wise business decisions and lead their employees to achieve business goals.
2. Managers: Managers are responsible for leading a team to accomplish tasks and meet business objectives.
3. Executives: Executives are responsible for the overall success of the business and need to have strong leadership skills to make strategic decisions and guide their teams.
4. Team members: Even employees who are not in leadership positions can benefit from education in business leadership skills. They can use these skills to improve their job performance, work well with others, and advance in their careers.
Overall, education in business leadership skills is important for anyone who wants to succeed in the business world. By developing these skills, individuals can become effective leaders who can help their organizations grow and thrive.
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Do the below stock analysis, and state why this is good investment* no plagiarism
1. Capital Group Growth ETF (CGGR)
i) Economic analysis
ii) Industry analysis
iii) Company analysis
2. iShares Semiconductor ETF (SOXX)
i) Economic analysis
ii) Industry analysis
iii) Company analysis
3. SPDR S&P 500 ETF Trust (SPY)
i) Economic analysis
ii) Industry analysis
iii) Company analysis
4. Vanguard Intermediate-Term Corporate Bond ETF
i) Economic analysis
ii) Industry analysis
iii) Company analysis
1. Capital Group Growth ETF (CGGR)i) Economic analysis: From an economic standpoint, the Capital Group Growth ETF has a positive outlook due to its investment in several large corporations that have the potential to benefit from growth opportunities in the future.
ii) Industry analysis: The CGGR invests in a range of industries, including technology, healthcare, consumer discretionary, and communication services, making it a good option for investors looking for a diversified portfolio.iii) Company analysis: Furthermore, CGGR invests in a variety of well-established companies such as Microsoft, Visa, and Nvidia, which have a strong track record of delivering strong returns.2. iShares Semiconductor ETF (SOXX)i) Economic analysis: The iShares Semiconductor ETF has a positive economic outlook due to its investments in companies that are benefiting from strong global demand for semiconductors, which are used in a variety of products such as smartphones, computers, and automobiles.
ii) Industry analysis:The semiconductor industry is poised for growth due to the increasing demand for electronic devices that use semiconductors.
The SOXX ETF has a diversified portfolio of semiconductor companies that are well-positioned to benefit from this trend.iii) Company analysis: SOXX invests in companies such as Intel, Nvidia, and Advanced Micro Devices, which are leading manufacturers of semiconductors and have a track record of strong performance.3. SPDR S&P 500 ETF Trust (SPY)i)
Economic analysis:From an economic perspective, the SPDR S&P 500 ETF is a good investment because it invests in the 500 largest publicly traded companies in the United States, providing diversified exposure to the US stock market.
ii) Industry analysis:The SPY ETF provides exposure to a range of industries, including technology, healthcare, financials, and consumer discretionary, among others. As such, it is a good option for investors seeking a diversified portfolio.
iii) Company analysis:The SPY ETF invests in several well-established companies such as Microsoft, Apple, and Amazon, which have a strong track record of delivering strong returns.
4. Vanguard Intermediate-Term Corporate Bond ETFi) Economic analysis:
From an economic standpoint, the Vanguard Intermediate-Term Corporate Bond ETF is a good investment because it invests in investment-grade corporate bonds that provide a steady stream of income.ii) Industry analysis: The Vanguard Intermediate-Term Corporate Bond ETF invests in a range of industries, including healthcare, technology, and financials.
iii) Company analysis: The ETF invests in several large corporations such as Verizon and Citigroup, which have a strong track record of delivering stable returns through their corporate bonds.
Overall, this is a good option for investors looking for a stable, fixed-income investment.
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Imagine you are a consultant and you have been asked to give a
seminar to hotel employees on how they can use the five dimensions
of service to improve customers' perceptions about the quality of
the
In the seminar, I will explain the five dimensions of service, which are reliability, responsiveness, assurance, empathy, and tangibles.
I will emphasize the importance of each dimension in shaping customers' perceptions of the hotel's quality. For example, I will discuss how providing reliable and consistent services, being responsive to customers' needs and concerns, demonstrating professionalism and competence, showing empathy towards customers, and maintaining a pleasant physical environment can all contribute to a positive customer experience and enhance their perception of the hotel's quality.
I will provide practical examples and strategies that employees can implement to improve their service delivery and create a memorable and satisfying stay for the hotel guests. By focusing on these dimensions, hotel employees can actively contribute to improving the overall customer experience and the hotel's reputation for high-quality service.
""
Imagine you are a consultant and you have been asked to give a seminar to hotel employees on how they can use the five dimensions of service to improve customers' perceptions about the quality of the hotel.
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The following are independent situations for the auditor when he carries out audits in different businesses in the year ended 30 June 2021.
(a) The Children’s Help Line is a charity that provides assistance to children who are in unfortunate situations by providing short term financial assistance, counselling and other help for children who need them. During COVID its donations have declined by 65% and so it has had to reduce its services and some of its staff. This has meant that receipts have only been provided to donors who have requested them and the accounting records are only being updated when the accountant comes in once a week when the Administrative officer gives everything to the accountant .Due to the effects of COVID these are the only remaining staff with any administrative /accounting knowledge remaining at The Children’s Help Line
(b) Smollett Ltd is a building contractor with a varying workload depending on the state of the economy and consumer confidence . Due to the irregularity of its building projects, Smollett also purchases large vacant blocks of land that it later subdivides for the construction of houses and units. Smollett then sells these on its own account. Your analysis suggests that the apportionment of costs between houses and units has between kept low with a substantial impact on increasing profits . It has also resulted in the material overvaluation of the unsold property. The directors of the company maintain that the stock of properties is correctly valued.
(c) The Big Entertainment Company arranges for popular entertainers to perform in Australia. The band Event was booked by the Big Entertainment company to play in various venues across the country with the contract specifying payment was to be made in US dollars. To reduce costs the Big Entertainment company decided not to hedge the amounts that would be payable . Subsequent to year end the Australian dollar fell against the US dollar and a substantial loss was predicted. The management of the Big Entertainment Company tried unsuccessfully to renegotiate the band’s contract for the tour and has been unable to obtain finance to cover the expected shortfall. The Big Entertainment Company has now cancelled the tour and expects a substantial claim from Event. It is clear to you, as the auditor, that the Big Entertainment Company does not have the income, cash or other assets to sustain such a loss. The Big Entertainment Company has disclosed all this information in its financial statements ,including its difficulties in meeting the potential payout for the cancelled tour in its financial statements .
(d) The Cocoon company limited operated as a small proprietary limited company from 2016 until 2020 when it sought and was granted public company status .The company has previously prepared financial statements but has not followed the Australian accounting standards until 2019 when the company employed a CPA to prepare the company’s financial statements .From then the company followed the accounting standards when the financial statements were prepared .
(e) The Anglia company, has been a successful company until last year, 2020, and when the Coronavirus came it suffered a substantial reduction in profit with a $2million profit declining to a $8 million loss . The company was able to access a small payment from the Government during 2020 but this has now stopped. Anglia has had to reduce its staff by 80% and there is limited segregation of duties and the accountant is quite concerned about its ability to continue as a going concern but its directors and CEO have prepared the financial statements on the basis that they think Anglia will be able to continue operating provided they get a package of financial assistance .
Required: Assuming all amounts involved are material, identify and discuss the most likely auditor’s opinion which should be issued for each of the above situations providing reasons/explanation for your opinion.
a) The auditor is likely to issue a qualified opinion. b) A qualified or adverse opinion could be issued. c) The auditor is unable to express an opinion due to inadequate evidence or scope limitations. d) An unqualified opinion can be issued. e) An unqualified opinion may be possible.
(a) The Children's Help Line: Given the lack of administrative and accounting staff, reduced services, and limited documentation, there is a significant risk of material misstatements in the financial statements. As a result, the auditor is likely to issue a qualified opinion, as the accounting records are not complete or accurate enough to support an unqualified opinion.
(b) Smollett Ltd: The auditor's analysis has revealed a potential material misstatement in the valuation of unsold properties, as well as a lack of appropriate cost allocation, which could have a substantial impact on profits. Therefore, a qualified or adverse opinion could be issued.
(c) The Big Entertainment Company: As the company has clearly disclosed its difficulties and inability to pay for the cancelled tour, including its efforts to obtain financing, and has provided sufficient information regarding its financial position, a disclaimer of opinion may be appropriate. This indicates that the auditor is unable to express an opinion due to inadequate evidence or scope limitations.
(d) The Cocoon Company Limited: As the company has not followed the Australian Accounting Standards until recently, the auditor will review whether this has resulted in any material misstatements. If there are no material misstatements, an unqualified opinion can be issued. Otherwise, a qualified or adverse opinion may be necessary.
(e) The Anglia Company: Given the company's significant loss, reduced staff, and concerns about its ability to continue as a going concern, the auditor is likely to issue a qualified or adverse opinion. However, if the directors and CEO provide a satisfactory package of financial assistance, the company may be able to continue operating as a going concern, and an unqualified opinion may be possible.
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Eight jobs have arrived in the following order: Job Processing Time 1 7 2 15 3 9 4 12 5 8 6 5 7 11 8 4 29 Find and compare the average flow time, lateness, and tardiness for the following sequencing r
The average flow time for both the sequences is 8.875, lateness and tardiness values differ for both the sequences.
we have 8 jobs with their processing time given. We have to calculate the average flow time, lateness, and tardiness for some given sequencing rules.
So let's calculate them one by one.
Sequence: 1, 2, 3, 4, 5, 6, 7, 8
To calculate the average flow time,
we use the formula:
Average flow time = Sum of processing times / Number of jobs
Average flow time = (7+15+9+12+8+5+11+4) / 8
= 71 / 8
= 8.875
To calculate the lateness, we use the formula:
Lateness = Flow time - Processing time
Lateness of job 1 = 8.875 - 7
= 1.875
Lateness of job 2 = 23.875 - 15
= 8.875
Lateness of job 3 = 17.875 - 9
= 8.875
Lateness of job 4 = 22.875 - 12
= 10.875
Lateness of job 5 = 16.875 - 8
= 8.875
Lateness of job 6 = 13.875 - 5
= 8.875
Lateness of job 7 = 20.875 - 11
= 9.875
Lateness of job 8 = 16.875 - 4
= 12.875
To calculate the tardiness, we use the formula:
Tardiness = Lateness (if Lateness is positive)Tardiness of job 1 = 0
(since Lateness is not positive)Tardiness of job 2 = 8.875
Tardiness of job 3 = 8.875
Tardiness of job 4 = 10.875
Tardiness of job 5 = 8.875
Tardiness of job 6 = 8.875
Tardiness of job 7 = 9.875
Tardiness of job 8 = 12.8752
Sequence: 8, 6, 5, 3, 1, 4, 7, 2
To calculate the average flow time, we use the formula:
Average flow time = Sum of processing times / Number of jobsAverage flow time
= (4+5+8+9+7+12+11+15) / 8
= 71 / 8
= 8.875
To calculate the lateness, we use the formula:
Lateness = Flow time - Processing time
Lateness of job 8 = 8.875 - 4
= 4.875
Lateness of job 6 = 13.875 - 5
= 8.875
Lateness of job 5 = 16.875 - 8
= 8.875
Lateness of job 3 = 17.875 - 9
= 8.875
Lateness of job 1 = 8.875 - 7
= 1.875
Lateness of job 4 = 22.875 - 12
= 10.875
Lateness of job 7 = 20.875 - 11
= 9.875
Lateness of job 2 = 23.875 - 15
= 8.875
To calculate the tardiness, we use the formula:
Tardiness = Lateness (if Lateness is positive)
Tardiness of job 8 = 4.875
Tardiness of job 6 = 8.875
Tardiness of job 5 = 8.875
Tardiness of job 3 = 8.875
Tardiness of job 1 = 1.875
Tardiness of job 4 = 10.875
Tardiness of job 7 = 9.875
Tardiness of job 2 = 8.875
So, the average flow time for both the sequences is 8.875, lateness and tardiness values differ for both the sequences.
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Help me please.. there is no option on here for Human Resources principals, so I jus clicked business as the subject..
Answer:
B. 60 days.
Explanation:
The Worker Adjustment and Retraining Notification Act (WARN) requires employers to satisfy the notice requirements usually in 60 days before sacking. This is however not applicable to unforeseen issues that may affect the business requiring sacking such as natural disaster