The given statement that Outsourcing is prevalent in both the private and public sectors, but for goods only is False.Outsourcing is the process of engaging an external organization to carry out some of the functions that were previously done in-house or by an employee.
The primary reason companies outsource jobs is to reduce costs. The private and public sectors both outsource, but they do it for different reasons. In the private sector, outsourcing is mainly done to lower labor costs. Companies outsource jobs that require lower skills and expertise and do not generate any competitive advantage. In contrast, the public sector outsource services for reasons like reducing costs and improving service delivery and effectiveness. Outsourcing also enables governments to provide more services to the public and better quality services.Outsourcing is done in both goods and services. Outsourcing can involve goods, services, or both.
However, the public sector is more likely to outsource services than the private sector. The public sector outsources services such as healthcare, education, and social services. It is not limited to goods only. Therefore, the given statement that Outsourcing is prevalent in both the private and public sectors, but for goods only is False.Hence, the correct answer is False.
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28 Selected financial information for Frank Corporation is presented below. Selected 2020 transactions are as follows: a. Purchased investment securities for $6,400 cash. b. Borrowed $17,800 on a two-year, 8 percent interest-bearing note. c. During 2020, sold machinery for its carrying amount, received $13,100 in cash. d. Purchased machinery for $52,800: paid $10,400 in cash and signed a four-year note payable to the dealer for $42.400. e. Declared and paid a cash dividend of $11.400 on December 31, 2020. Selected account balances at December 31, 2019 and 2020 are as follows: December 31 2020 2019 Cash $85,800 $22,400 Accounts receivable Inventory 18,400 12,700 53,400 62,800 8,400 12,800 Accounts payable Accrued wages payable 1,500 2,400 Income taxes payable 6,400 3,700 One-fourth of the sales and one-third of the purchases were made on credit. FRANK CORPORATION statement of Earnings For the Year Ended December 31, 2020. Sales revenue $428,000 cost of sales 282,000 Gross profit 146,000 Expenses Salaries and wages $52,400 Depreciation 10,600 Rent (no accruals) 7,200
The financial information provided for Frank Corporation indicates several selected transactions and account balances for the year 2020. Here is a breakdown of the transactions and balances:
1. Purchased investment securities for $6,400 cash.
2. Borrowed $17,800 on a two-year, 8 percent interest-bearing note.
3. Sold machinery for its carrying amount, received $13,100 in cash.
4. Purchased machinery for $52,800: paid $10,400 in cash and signed a four-year note payable to the dealer for $42,400.
5. Declared and paid a cash dividend of $11,400 on December 31, 2020.
Selected account balances at December 31, 2019, and December 31, 2020, are as follows:
Account Balances (in dollars):
2020 2019
Cash 85,800 22,400
Accounts receivable 18,400 12,700
Inventory 53,400 62,800
Accounts payable 8,400 12,800
Accrued wages payable 1,500 2,400
Income taxes payable 6,400 3,700
The income statement for the year ended December 31, 2020, is as follows:
Sales revenue: $428,000
Cost of sales: $282,000
Gross profit: $146,000
Expenses:
- Salaries and wages: $52,400
- Depreciation: $10,600
- Rent (no accruals): $7,200
The provided financial information for Frank Corporation includes selected transactions, account balances, and an income statement for the year 2020. The transactions highlight the purchase of investment securities, borrowing on a note, sale of machinery, purchase of machinery, and the declaration and payment of a cash dividend.
The account balances at the end of 2019 and 2020 demonstrate the changes in cash, accounts receivable, inventory, accounts payable, accrued wages payable, and income taxes payable. It is worth noting that one-fourth of the sales and one-third of the purchases were made on credit.
The income statement reveals the sales revenue, cost of sales, and gross profit. Additionally, the expenses include salaries and wages, depreciation, and rent (with no accruals).
Overall, these financial details provide insights into the selected transactions, account balances, and financial performance of Frank Corporation in the year 2020.
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one checks the ____ in the spss output to see if there is collinearity among the x’s in the multiple regression model,
Answer : one checks the Variance Inflation Factor (VIF) to see if there is collinearity among the x’s in the multiple regression model.
Explanation :
In the SPSS output, one checks the Variance Inflation Factor (VIF) to see if there is collinearity among the x’s in the multiple regression model.
What is Variance Inflation Factor (VIF)? The Variance Inflation Factor (VIF) is used to calculate the effect of multi-collinearity on the coefficients in a regression analysis. VIF estimates the level of correlation between two predictor variables in a regression model, the extent to which the variance of a variable is amplified compared to what is expected because of multicollinearity.
In general, if theVariance Inflation Factor (VIF) is more than 10, it is assumed that multi collinearity is causing a problematic situation for the model.Therefore, one must check for collinearity in the x's when performing multiple regression.
Variance Inflation Factor is a reliable measure to estimate the correlation between two predictor variables, so we use it to check collinearity in the SPSS output.One can calculate the VIF using the following equation:VIF = 1 / (1 - R^2)where R^2 is the coefficient of determination.
The SPSS output provides the value of Variance Inflation Factor (VIF) to check for collinearity in the x's in the multiple regression model. Therefore, one checks the Variance Inflation Factor (VIF) in the SPSS output to see if there is collinearity among the x's in the multiple regression model.
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Which of the following nutrients are transported to the liver via the hepatic portal vein? Select all that apply. a. Fatty acids b. Monoacylglycerols c. Glucose d. Amino acids
Fatty acids and Monoacylglycerols are transported to the liver via the hepatic portal vein. Option A & B are correct answers.
The small intestine's mucosal lining absorbs free fatty acids and monoglycerides, which then make their way into the epithelial cells. Lipid production and transport are processes carried out by the endoplasmic reticulum, a component of the cell. Option A & B are correct answers.
Monoglycerides and free fatty acids enter this system after they have reached the cells. Triglycerides are produced in this process from the digested byproducts. Triglycerides are the most prevalent form of fat that the body stores. As a result, fat is digested differently than proteins and carbohydrates. Along with triglycerides and diglycerides, monoglycerides are a kind of fatty acid. In order to enhance the texture, quality, and shelf life of some foods, monoglycerides are added to others.
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Activities within a company that involve dealing with the union and its members are called ________.
The activities within a company that involve dealing with the union and its members are called labor relations
.What is labor relations?Labor relations is a sub-field of human resources, specializing in the relationships between labor unions and employers. It focuses on promoting healthy relationships between labor unions and management.
It is the area of study concerned with the relationship between the management and the workers or the labor union that represents them, such as collective bargaining agreements, collective bargaining procedures, disputes, and strikes, among other things.
Labor relations is concerned with understanding the interactions between the employer and the employees, the laws and regulations governing the workers' rights, the role of the labor union, and the potential conflicts that may arise between the employer and employees.
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A $2.00 decrease in a product's variable cost per unit accompanied by a $2.00 decrease in its selling price per unit will:
A) increase the contribution margin per unit
B) increase the total contribution margin
C) increase the break-even volume.
D) increase the operating leverage
E) increase the contribution margin ratio
F) decrease the contribution margin ratio
G) will have no effect on the contribution margin ratio.
YA $2.00 decrease in a product's variable cost per unit accompanied by a $2.00 decrease in its selling price per unit will increase the contribution margin per unit. Option A is the correct answer.
The contribution margin per unit is the difference between the selling price per unit and the variable cost per unit. In this scenario, both the variable cost per unit and the selling price per unit decrease by $2.00. As a result, the difference between them, which is the contribution margin per unit, will increase by $2.00.
This means that each unit of the product will contribute $2.00 more towards covering fixed costs and generating profit. It improves the profitability of each unit sold by increasing the amount available to cover fixed expenses. However, it is important to note that the total contribution margin (the contribution margin per unit multiplied by the number of units sold) may or may not increase, depending on the change in the number of units sold.
Option A is the correct answer.
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ased on the class discussion, Volkswagen's multi-billion-dollar costs associated with the recent diesel car recall is the best example of Multiple Choice an internal failure cost an external failure cost an ethical failure cost a prevention cost
Based on the class discussion, Volkswagen's multi-billion-dollar costs associated with the recent diesel car recall is the best example of an external failure cost. These costs arise from defects or failures that occur after the product has been delivered to customers and can include recalls, warranty claims, legal settlements, and damage to the company's reputation.
In the case of Volkswagen's diesel car recall, the company incurred significant costs due to the discovery of emission cheating software in their vehicles. These costs can be categorized as external failure costs because they occurred after the cars were sold to customers. The recall, legal settlements, and potential lawsuits imposed a substantial financial burden on the company. Additionally, the scandal damaged Volkswagen's reputation, leading to a loss of customer trust and decreased sales. These external failure costs highlight the consequences of product defects or ethical failures that occur in the marketplace and have a direct impact on a company's financial performance and brand image.
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QUESTION 9 "Whistle-blowing" is more likely to occur when employees: fear that voicing their ethical concerns to management will result in punishment. are paid by newspapers or television stations to
"Whistle-blowing" is more likely to occur when employees fear that voicing their ethical concerns to management will result in punishment. This is because whistle-blowing involves reporting misconduct within an organization to external parties the media.
Employees may choose to blow the whistle when they believe that internal channels for reporting concerns are ineffective or when they fear retaliation or negative consequences for speaking up within the organization. On the other hand, the statement that employees are paid by newspapers or television stations to blow the whistle is not a common characteristic associated with whistle-blowing.
While some media outlets may provide financial incentives for individuals to share information or provide tips, the act of whistle-blowing itself is driven more by ethical concerns, a sense of responsibility, or the desire to expose wrongdoing, rather than monetary compensation.
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An agribusiness has a debt to asset ratio of .44 to 1, the corresponding equity to asset ratio is .66 to 1.
true or false
It is accurate to say that the debt-to-total-assets ratio reveals the proportion of a company's assets owned by shareholders versus creditors (those from whom the company has borrowed money). Along with the debt servicing ratio and the debt-to-equity ratio, it is one of three computations used to assess debt capacity.
Equity Ratio = Total Asset / Shareholder Equity
Equity share capital is included in shareholders' equity. On the liability side of the company balance sheet, it shows as the owner's equity or shareholders' equity.
The equity to assets ratio is calculated by dividing the total equity of a company by the total value of its assets. The percentage of the company's assets that are financed by equity is the outcome, which is expressed as a result.
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Denver is a wealthy entrepreneur that owns several companies specialising in consumer products. One of them called, Hooga Niaga Bhd.
Denver ventured into an agreement with Monica’s company called Walred Sdn Bhd. This contract involved Walred Sdn Bhd, duty to engage relevant suppliers of pharmaceutical products, for Hooga Niaga Bhd.
The specific terms of the contract between Hooga Niaga Bhd and Walred Sdn Bhd are as follows:
The specific terms of the contract between Hooga Niaga Bhd and Walred Sdn Bhd are as follows:
- Walred Sdn Bhd is required to provide a supplier list of pharmaceutical products according to Hooga Niaga Bhd's needs within 30 days of signing the contract.- Walred Sdn Bhd is required to negotiate prices and purchase terms with the supplier chosen by Hooga Niaga Bhd and obtain written approval from Hooga Niaga Bhd prior to placing an order.- Walred Sdn Bhd is required to ensure the delivery of the pharmaceutical products ordered by Hooga Niaga Bhd within 60 days of signing the contract.- Walred Sdn Bhd is required to pay a service fee of 10% of the order amount to Hooga Niaga Bhd if the pharmaceutical product is delivered to Hooga Niaga Bhd.- Walred Sdn Bhd is responsible for resolving any issues or disputes that arise with the supply or delivery of pharmaceutical products.About ContractContract or agreement is an agreement between two or more people regarding certain matters agreed upon by them.
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1 Which company responded to customer complaints and fixed its products before a regulatory agency became involved?
Chrysler
Ford
GM
Procter & Gamble
The Procter & Gamble is the company that responded to customer complaints and fixed its products before a regulatory agency became involved.
This is because Procter & Gamble is a leading multinational consumer goods company that has always maintained its standard of producing quality products. Over the years, Procter & Gamble has taken proactive steps to ensure that customer complaints are resolved immediately without waiting for a regulatory agency to become involved. For instance, in 2014, Procter & Gamble voluntarily recalled some of its products due to potential health risks even before the regulatory agency mandated it.Procter & Gamble is known to invest significant resources in research and development to ensure that its products are not only high quality but also safe for customers to use. The company has put in place mechanisms to identify potential issues with its products, and it is quick to respond when a customer files a complaint. The company's commitment to responding to customer complaints is evident in the measures it takes to improve its products, customer service, and relationships with customers.In conclusion, Procter & Gamble is a company that prioritizes customer satisfaction by addressing complaints promptly and taking proactive measures to ensure its products are of high quality and safe for consumers to use. The company's commitment to product safety and customer satisfaction has helped it maintain a positive reputation, a loyal customer base, and its status as one of the leading consumer goods companies globally.
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Suppose that the First United Bank of America has two loans. Each is due to be repaid one period hence and has independent and identically distributed cash flows. Each loan will repay $300 with a probability of 0.8 and $150 with a probability of 0.2. However, while the bank knows this, the investors cannot distinguish this loan from that of the Third TransAmerica Bank, which has the same number of loans, but will pay $300 with a probability of 0.5 and $150 with a probability of 0.5. There is a prior belief of 0.5 that the First United Bank of America has the higher-valued portfolio. Suppose that the First United wished to securitize these loans, and if it does so without a credit enhancement, the cost of communicating the true value is 7.5% of the true value. Assume that the discount rate is zero and that everybody is risk-neutral. Consider the following securitization scenario. The First United can create two classes of bondholders in a senior- subordinated structure or junior-senior structure. Class A bondholders will receive the first tranche and are entitled to $300 in aggregate. After they are paid off, class B bondholders are entitled to receive $300 or the residual cash flow, whichever is smaller. Suppose First United can find a credit enhancer. With credit enhancement, class B bondholders can be guaranteed to receive $300. The market for credit enhancement is competitive. Ignoring the possibility of default by the credit enhancer, how much will the First United have to pay the credit enhancer?
A. $122
B. $68
C. $60
D. $75
The First United have to pay the credit enhancer an amount equal to $75,After they are paid off, class B bondholders are entitled to receive $300 Therefore, the correct option is D
A bondholders is $300, which is guaranteed by the senior-subordinated structure. After class A bondholders have been paid off, class B bondholders will receive the lesser of $300 and $210 ($510 minus the $300 paid to class A bondholders).
This will occur with a probability of P. Let's assume that the credit enhancer agrees to pay class B bondholders $90 ($300 minus $210) in the event that they do not receive $300 in cash flows.The net present value of the cash flows for the enhanced structure is thus given by:
NPVenhanced = 300 + P * 90 (1)Now consider the unenhanced structure. After class A bondholders have been paid, class B bondholders will receive the lesser of $270 and $30 ($540 minus $300 paid to class
A bondholders and the $210 paid to class B bondholders if their cash flows are less than $300). This will occur with a probability of P. Therefore, the net present value of the unenhanced structure's cash flows is:
NPVunenhanced = 300 + P * 30 (2)The bank will be indifferent between the enhanced and unenhanced structures if their net present values are equal. As a result, we must solve for X in equation (1) equals equation (2).NPV enhanced = NPV unenhanced 300 + P * 90 = 300 + P * 30
Solving for P, we get:P = 2/3.Substituting this into either equation (1) or equation (2) and solving for X, we obtain:X = 75.Therefore, the First United would have to pay a credit enhancement fee of $75.
Therefore, the correct option is D. $75.
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What are the futuristic planning and it's implementation of Apple Inc !?
Apple Inc. engages in futuristic planning by investing in research and development, conducting market analysis, and prioritizing innovation.
Future focused planning by the company entails extensive research and development examination of cutting edge technologies and anticipation of customer demands. To develop cutting edge goods and services. Apple makes investments in cutting edge technologies like augmented reality, artificial intelligence and sophisticated chipsets.
Apple's product line which consists of gadgets like the iPhone, iPad, Mac, and Apple Watch as well as services like Apple Music, iCloud and Apple Pay demonstrates how its futuristic plans are being implemented. A seamless user experience is created by the seamless integration of these goods and services. Apple implementation strategy is heavily influenced by its focus on design, user interface and user experience.
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What happens if an individual firm in a perfectly competitive market increases its price to be slightly above the market price?
A) All other sellers in the market will lower their price below the market price.
B) All other firms raise their prices, too.
C) Buyers will buy the goods from other firms.
D) Buyers buy more from the firm that raises its price.
The correct option is C. Buyers will buy the goods from other firms.
In a perfectly competitive market, every firm in the market is a price-taker, so they can't influence the market price. Thus, a firm that increases its price to be slightly above the market price would lose all of its customers because buyers would buy the goods from other firms. This is because in a perfectly competitive market, all firms sell identical products and the buyers have perfect information. Thus, buyers have no reason to pay a higher price for a product when they can purchase the same product from another firm at a lower price. In other words, a firm that increases its price to be slightly above the market price would lose all of its customers, and buyers would buy the goods from other firms.
In a perfectly competitive market, firms are forced to accept the prevailing market price. If they charge more than the market price, they will lose market share and revenue because customers will buy the identical product elsewhere for a lower price.
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Consider the economy of Hicksonia in the previous question. Assume that the economy is described by the sticky-price model and that a half of the country’s firms have flexible prices while the others have sticky prices. a. Derive the SRAS and LRAS curves when Pe and Y are 2 and 1,100, respectively. Combine them with the AD curve you derived in the previous question in the AD-AS diagram and locate the long-run equilibrium point. b. Explain the short- and long-run adjustment processes when government purchases increase, using Keynesian cross, money market, IS-LM, labor market, AD-AS models and Phillips curve. For this question, you don’t need to provide specific numbers for each variable.
In the long run, the adjustment process leads to a change in prices, but the output remains the same. As prices increase, the firms will increase the prices of their products and services, and the output levels will revert to the natural levels.
a. Derivation of SRAS and LRAS curves: Sticky price model assumes that half of the country’s firms have flexible prices while the other half have sticky prices. In the short run, firms with sticky prices would keep their prices constant and only change them in the long run. In the case of Hicksonia, let us assume that the prices are sticky in the short run. Given that the current prices are 2 and output is 1100, SRAS and LRAS curves are as follows: The short-run aggregate supply (SRAS) curve would be upward sloping, and it is horizontal when the output is equal to the natural output. The LRAS curve, however, is vertical and is equal to the potential output of the economy when the input is full and all prices are flexible. The AD, SRAS, and LRAS curves will intersect at a point that will represent a short-run equilibrium point. It is essential to note that short-run equilibrium is not the same as long-run equilibrium. If prices are sticky in the short run, it will take time to adjust to the long-run equilibrium.
b. The short-run adjustment process when government purchases increase is as follows: Government purchases increase would mean an increase in government spending. This will lead to an increase in the demand for goods and services in the economy. Therefore, in the short run, there will be an upward shift in the aggregate demand (AD) curve. This will lead to an increase in both output and prices. The short-run adjustment process in the labor market will see an increase in employment levels leading to a reduction in unemployment rates. This will lead to an increase in the wage rates. Hence, it is essential to note that the short-run adjustment process leads to an increase in both prices and output.
In the long run, the adjustment process leads to a change in prices, but the output remains the same. As prices increase, the firms will increase the prices of their products and services, and the output levels will revert to the natural levels. The AD curve shifts to the left until it intersects the LRAS curve at the natural output level. Therefore, in the long run, the economy returns to its natural output level but with higher prices. Hence, it is essential to note that the adjustment process leads to an increase in prices and not output.
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if auditors are appointed on january 3, 2014, the date of the financial statements is december 31, 2014, the date of the auditors' report is february 7, 2015 and the audit report release date is march 3, 2015, what is the appropriate date of the written representations?
As per the given scenario, the date of the financial statements is December 31, 2014, and the date of the auditor's report is February 7, 2015. Therefore, the appropriate date of the written representations is December 31, 2014.
Financial statements refer to formal records of a company's financial activity, earnings, expenses, profits, and balance sheet for a specified period. It offers a picture of the overall financial status of the company. Financial statements comprise of the following:Statement of financial position: it shows the company's assets, liabilities, and equity at a particular period of time.
Statement of comprehensive income: it presents the revenue and expense of the company for a specified period.Statement of changes in equity: it summarizes the changes in the company's equity during the specified period.Cash flow statement: it reflects the company's inflow and outflow of cash during the period of time covered by the financial statements.
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On January 1, 2020, Ultra Green Packaging purchased a used machine for $156,000. The next day, it was repaired at a cost of $4,068 and mounted on a new platform that cost $5,760. Management estimated that the machine would be used for seven years and would then have a $21,600 residual value. Depreciation was to be charged on a straight-line basis to the nearest whole month. A full year's depreciation was charged on December 31, 2020, through to December 31, 2024, and on April 1, 2025, the machine was retired from service. mana Required 1. Prepare journal entries to record the purchase of the machine, the cost of repairing it, and the installation. Assume that cash was paid. 2. Prepare entries to record depreciation on the machine on December 31, 2020, and on April 1, 2025
1. Journal entries for the purchase of the machine, the cost of repairing it, and the installation: Date Account Title Debit Credit
January 1, 2020Equipment156,000Cash156,000
January 2, 2020Repairs expense 4,068Cash4,068
January 2, 2020 Equipment 5,760 Cash 5,7602.
Entries to record depreciation on December 31, 2020, and April 1, 2025:
December 31, 2020Depreciation expense
([$156,000 – $21,600]/7 years)20,400
Accumulated depreciation 20,400April 1, 2025
Accumulated depreciation96,600
Equipment156,000
Gain on disposal ([$26,400 – $21,600] + $96,600 – $156,000) 4,400Cash96,000
Note: The depreciation for the full year of 2020 was recorded. As a result, there will be no more depreciation recorded in 2025.
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On February 1, Lighthouse Company Corporation sold an additional 4,000 shares. On July 1, they retired 3,000 shares and on August 1, the company's board declared a 4-for-1 stock split. Net income for 2022 was $583,150 and dividends declare the year of $162,750 of which preferred shareholders received $133,000. Lighthouse Company Corporation had 29,000 common shares outstanding at the start of 2022. Lighthouse Company Corporation has a December 31 year-end. Listen REQUIRED Calculate the Earnings Per Share and Dividends Per Share for common shareholders of 2022.
The Earnings Per Share (EPS) for common shareholders of Lighthouse Company Corporation in 2022 is approximately $1.586 per share,
To calculate the Earnings Per Share (EPS) and Dividends Per Share (DPS) for common shareholders of Lighthouse Company Corporation in 2022, we need to consider the changes in the number of shares throughout the year and the relevant financial figures. Let's calculate each step:
Calculate the weighted average number of common shares outstanding:
Starting common shares: 29,000
Additional shares sold on February 1: 4,000
Shares retired on July 1: 3,000
Stock split (4-for-1) on August 1: The number of shares is multiplied by 4
Weighted average shares = (29,000 x 7 months) + (33,000 x 5 months)
= 203,000 + 165,000
= 368,000 shares
Calculate the Earnings Per Share (EPS):
EPS = Net Income / Weighted average number of shares
EPS = $583,150 / 368,000 shares
EPS ≈ $1.586 per share
Calculate the Dividends Per Share (DPS) for common shareholders:
Total dividends declared = $162,750
Preferred shareholders' portion = $133,000
Dividends available for common shareholders = Total dividends declared - Preferred shareholders' portion
Dividends available for common shareholders = $162,750 - $133,000
Dividends available for common shareholders = $29,750
DPS = Dividends available for common shareholders / Weighted average number of shares
DPS = $29,750 / 368,000 shares
DPS = $0.081 per share
Therefore, the Earnings Per Share (EPS) for common shareholders of Lighthouse Company Corporation in 2022 is approximately $1.586 per share, and the Dividends Per Share (DPS) for common shareholders is approximately $0.081 per share.
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Xtinct Artifacts has not paid a dividend during the past 10 years. However, at the end of this year, the company plans to pay a $1.50 dividend and a $2 dividend the following year (Year 2). Starting in three years, the dividend will begin to grow by 5 percent each year for as long as the firm is in business. If investors require an 11 percent rate of return to purchase Xtinct's common stock, what should be the market value of its stock today?
To calculate the market value of Xtinct Artifacts' stock today, we need to determine the present value of the future dividends using the dividend discount model (DDM). The DDM formula is as follows:
[tex]\[ \text{Stock Price} = \frac{{\text{Dividend}_1}}{{(1 + \text{r})^1}} + \frac{{\text{Dividend}_2}}{{(1 + \text{r})^2}} + \frac{{\text{Dividend}_3}}{{(1 + \text{r})^3}} + \ldots \][/tex]
Where:
- [tex]\(\text{Dividend}_1\)[/tex] is the dividend to be paid at the end of the current year
- [tex]\(\text{Dividend}_2\)[/tex] is the dividend to be paid at the end of Year 2
- [tex]\(\text{r}\)[/tex] is the required rate of return
Let's calculate the market value of Xtinct Artifacts' stock today:
[tex]\(\text{Dividend}_1 = \$1.50\)[/tex]
[tex]\(\text{Dividend}_2 = \$2.00\)[/tex]
[tex]\(\text{Dividend}_3\)[/tex] and subsequent dividends will grow by 5% each year
[tex]\(\text{r} = 11\% = 0.11\)[/tex]
To find the present value of the growing dividends, we can use the formula for the present value of a growing perpetuity:
[tex]\[ \text{Present Value} = \frac{{\text{Dividend}}}{{\text{r} - \text{g}}} \][/tex]
Where:
- [tex]\(\text{Dividend}\)[/tex] is the dividend in Year 3 and subsequent years
- [tex]\(\text{g}\)[/tex] is the growth rate of the dividends
Let's calculate the present value of the growing dividends:
[tex]\(\text{Dividend}_3 = \text{Dividend}_2 \times (1 + \text{g}) = \$2.00 \times (1 + 0.05) = \$2.10\)[/tex]
[tex]\(\text{Dividend} = \text{Dividend}_3\)[/tex]
[tex]\(\text{g} = 5\% = 0.05\)[/tex]
Using the present value formula, we can calculate the present value of the growing dividends:
[tex]\(\text{Present Value} = \frac{{\$2.10}}{{0.11 - 0.05}} = \$35\)[/tex]
Now, let's calculate the market value of Xtinct Artifacts' stock today by summing the present value of the dividends:
[tex]\(\text{Stock Price} = \frac{{\$1.50}}{{(1 + 0.11)^1}} + \frac{{\$2.00}}{{(1 + 0.11)^2}} + \text{Present Value} = \$1.35 + \$1.61 + \$35 = \$37.96\)[/tex]
Therefore, the market value of Xtinct Artifacts' stock today is approximately $37.96.
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You are pleased to see that you have been given a 4.68% raise this year. However, you read on the Wall Street Journal Web site that inflation over the past year has been 1.75%. How much better off are you in terms of real purchasing power?
You received a 4.68% raise this year, but inflation was at 1.75%. In terms of real purchasing power, you are approximately $1,465 better off after accounting for the raise and inflation.
The purchasing powerTo determine how much better off you are in terms of real purchasing power, we need to calculate the difference between your raise and the inflation rate.
The raise in terms of percentage increase in purchasing power is:
Raise percentage = 4.68% - 1.75%
= 2.93%
The actual increase in purchasing power using this percentage is:
Actual increase in purchasing power = (2.93% / 100) * Your previous purchasing power
For example, if your previous purchasing power was $50,000, the actual increase would be:
Actual increase in purchasing power = (2.93% / 100) * $50,000
= 0.0293 * $50,000
= $1,465
Therefore, you are approximately $1,465 better off in terms of real purchasing power, considering the raise and the inflation rate.
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A machine has a first cost of 500.000 ₺ and a salvage value of 93.500 ₺ after n years. The book value at the end of 3rd year is calculated as 364.500 ₺. Find the value of ""n""? a) Assuming that straight line depreciation method is used. b) Assuming that double declining balance depreciation method is used. c) A car has a first cost of 240.000 ₺ and a salvage value of 81.250 ₺ after 8 years. What is the depreciation in the 5th (D5=?) year if you switch between depreciation methods (start with double declining balance and switch to straight line when necessary)? (DDB formulas: Dt=dB(1 – d)t-1 =dBVt-1 and BVt=B(1 – d)t )
A machine has a first cost of 500.000 ₺ and a salvage value of 93.500 ₺ after n years. The depreciation in the 5th year is 19,343.75.
First cost (FC) = 500,000
Salvage value (SV) = 93,500.
Book value after 3 years (BV) = 364,500.
We know that the depreciation per year (D) = (FC - SV) / n BV = FC - D × 3 years⇒ 364,500 = 500,000 - D × 3 years D = (500,000 - 364,500) / 3 = 45,500.
Now D = (FC - SV) / n45,500 = (500,000 - 93,500) / n n = 8.41 ≈ 8 (approx.)
First cost (FC) = 500,000 Salvage value (SV) = 93,500.
Double declining rate (d) = 2 / n At the end of 2nd year.
the book value (BV2) = FC × (1 - d)2= 500,000 × (1 - 2 / n)
Given, BV3 = 364,500.
By using BV2, we have BV2 × (1 - d) = 364,500BV2 = 428,125 (approx.)
Hence, BV2 × (1 - d) = 364,500428,125 × (1 - d) = 364,5001 - d = 364,500 / 428,125d = 0.15Now, d = 2 / n⇒ 0.15 = 2 / n. n = 13.33 ≈ 13 years.
Now, to switch from Double Declining Balance to Straight-Line in 3rd year, we need to find the book value at the end of the second year by DDB method.
Book Value after 3 years = BV3 = FC - D1 - D2 - D3= 240,000 - 60,000 - 45,000 - BV3 × d= 240,000 - 60,000 - 45,000 - (BV2 - D1) × d...[By using BV2 = FC × (1 - d)2]BV3 = 68,750.
Hence, 240,000 - 60,000 - 45,000 - (68,750 - 60,000) × 0.25 = 19,375.
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Consider a consumer with utility function for goods X and Y:
U(x,y) = x0.4 y0.6
The consumer has income M to spend. The price of x is Px and the price of y is Py.
a. Calculate the consumer’s marginal rate of substitution (MRS). At the utility
maximizing consumption bundle, what must be true about the relationship between
MRS and prices? Why?
b. Write down the equation for the consumer’s budget constraint.
c. Derive the consumer’s demand for good Y in general form. Plot the demand curve
for Py = 1 through 5 (whole integers only), when income is held constant at 50 and Px
is held constant at 1.
The consumer has a utility function that depends on goods X and Y, with a marginal rate of substitution (MRS) equal to (2/3)(y/x). At the utility-maximizing consumption bundle, the MRS must be equal to the price ratio (Py/Px). The consumer's budget constraint is given by M = Px * x + Py * y. To derive the consumer's demand for good Y, we need to solve the utility maximization problem subject to the budget constraint.
a. The marginal rate of substitution (MRS) measures the rate at which a consumer is willing to trade one good for another while keeping utility constant. To calculate the MRS, we take the partial derivative of the utility function with respect to x and divide it by the partial derivative with respect to y:
MRS = (∂U/∂x) / (∂U/∂y)
=[tex](0.4x^(-0.6)y^0.6) / (0.6x^0.4y^(-0.4))[/tex]
= (0.4y / 0.6x)
= (2/3)(y/x)
At the utility-maximizing consumption bundle, the MRS must be equal to the price ratio (Py/Px). This is known as the equality of the MRS and the price ratio. Mathematically, it can be represented as:
MRS = (2/3)(y/x) = Py/Px
This relationship ensures that the consumer allocates their budget in such a way that the marginal utility obtained from the last unit of money spent on each good is equal.
b. The equation for the consumer's budget constraint can be derived using the consumer's income (M) and the prices of goods X (Px) and Y (Py). The budget constraint is given by:
M = Px * x + Py * y
This equation states that the consumer's total expenditure on goods X and Y should not exceed their income.
c. To derive the consumer's demand for good Y, we need to solve the utility maximization problem subject to the budget constraint. The Lagrange function for this problem is:
L(x, y, λ) = U(x, y) - λ(M - Px * x - Py * y)
Taking the partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can derive the demand functions for goods X and Y:
[tex]∂L/∂x = 0.4x^(-0.6)y^0.6 - λPx = 0∂L/∂y = 0.6x^0.4y^(-0.4) - λPy = 0[/tex]
M = Px * x + Py * y
By solving these equations simultaneously, we can find the demand functions for goods X and Y. However, since the specific values of Px and Py are not given, we cannot calculate the exact demand for good Y. We can only plot the demand curve for Py = 1 through 5, while keeping the income (M) constant at 50 and Px constant at 1.
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The likelihood of an investment newsletter's successfully predicting the direction of the market for four consecutive years by chance should be
greater than 70%.
between 25% and 50%.
between 10% and 25%.
between 6% and 10%.
between 0% and 5%
According to the Binomial distribution, the probability of an investment newsletter successfully predicting the direction of the market for four consecutive years is 6.25%. Hence, the answer is "between 0% and 5%.
"How can we find the likelihood of an investment newsletter's successfully predicting the direction of the market for four consecutive years?The likelihood of an investment newsletter's successfully predicting the direction of the market for four consecutive years can be determined by employing the binomial probability formula.
Let P = the probability of predicting the direction of the market correctly for one year. Since the market direction can either go up or down, there is a 50/50 chance of making the right prediction.
Thus P = 0.5 (50/50).Now we have to find the likelihood of predicting the market direction correctly for four consecutive years. We can do this with the following formula:P(4) = C(4,4) × (0.5)⁴(0.5)⁰Where C(4,4) is the combination of 4 things taken 4 at a time, or 1.
It can also be written as 4! / (4 - 4)! 4! = 1 × 3 × 2 × 1 / 1 × 3 × 2 × 1 = 1This implies that P(4) = (1) × (0.5)⁴(0.5)⁰ = 0.0625 or 6.25%. Therefore, the likelihood of an investment newsletter successfully predicting the direction of the market for four consecutive years by chance should be between 0% and 5%.Thus,
Therefore the correct option is between 0% and 5%.
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In the U.S. Balance of Payments, foreign purchases of U.S. goods are recorded as: O a. An inflow to the Current Account O b. An outflow to the Current Account O C. An inflow to the Financial Account O d. An outflow to the Financial Account Which of the following is true concerning the dealer's bid/ask quote in the foreign exchange (FX) market? Select one: a. The ask rate is the rate at which the dealer will buy the currency. b. The bid rate is the rate at which the dealer will sell the currency c. The ask rate is the rate at which the dealer will sell the currency O d. The bid rate will always be higher than the ask rate
1. Foreign purchases of U.S. goods are recorded as an inflow to the Current Account in the U.S. Balance of Payments. Option A
2. The bid rate is the rate at which the dealer will sell the currency. Option B
What is balance of payments?The bid/ask quote is a two-way price offered by the dealer for a particular currency pair in the foreign exchange market. The bid rate is the price the dealer is ready to accept in exchange for the quotation currency while selling the base currency.
The price at which the dealer is willing to purchase the base currency from the trader in exchange for the quote currency is known as the ask rate, sometimes known as the offer rate.
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One optimized or maximized a task until its marginal benefit was equal to its marginal cost.
Explain the economic logic behind the above statement by assuming that you are a business person who wants to make a profit from your business.
The economic logic behind optimizing a task until its marginal benefit equals its marginal cost is to ensure that resources are allocated efficiently, maximizing profitability for a business.
As a business person aiming to make a profit, it is essential to optimize resource allocation and decision-making. The principle of maximizing profitability relies on the concept of marginal benefit and marginal cost.
Marginal benefit refers to the additional benefit or revenue generated by producing one more unit of a good or service. On the other hand, marginal cost represents the additional cost incurred when producing that additional unit. To maximize profits, a business must balance these two factors.
Initially, as production increases, the marginal benefit typically exceeds the marginal cost. This indicates that each additional unit produced adds more value than the cost of producing it, resulting in higher profits. Therefore, it is economically rational to continue producing until the marginal benefit equals the marginal cost.
At this equilibrium point, the business has optimized its operations. Producing more units would result in diminishing marginal returns, where the additional benefit starts to decline and becomes less than the additional cost. In such cases, the business would be allocating resources inefficiently and potentially reducing profitability.
By optimizing tasks until the marginal benefit equals the marginal cost, a business ensures efficient resource allocation. It focuses on producing the quantity of goods or services that generates the highest return on investment.
This approach allows businesses to avoid unnecessary costs and maximize profits, aligning with the economic logic of rational decision-making and resource optimization.
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3. Economic policies that involve government spending and taxes
are known as
The economic policies that involve government spending and taxes are known as fiscal policies. These policies help to regulate the economy and aim to achieve the macroeconomic objectives of price stability, full employment, and economic growth.
In the economy, two major policies are used to steer macroeconomic variables. These policies are called monetary policy and fiscal policy. In general, fiscal policy involves government spending and taxation. On the other hand, monetary policy involves adjusting the supply of money, which includes interest rates.Fiscal policies have a direct impact on the economy since they affect government revenue and spending, which, in turn, impact macroeconomic variables such as GDP, inflation, and employment. If the government decides to increase spending or decrease taxes, it leads to an increase in demand for goods and services in the economy, which can boost GDP. Conversely, if the government decides to decrease spending or increase taxes, it leads to a decrease in demand for goods and services, which can slow down economic growth.Fiscal policies also have a direct effect on the distribution of wealth and income. If the government decides to increase spending on social welfare programs, it can help reduce income inequality in society. Conversely, if the government decides to decrease spending on social welfare programs, it can lead to an increase in income inequality. fiscal policies are government policies that involve government spending and taxation. These policies have a direct impact on the economy and aim to achieve macroeconomic objectives such as price stability, full employment, and economic growth.
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The economic policies that include government spending and taxes are known as fiscal policies. The main answer is that fiscal policies are used by the government to manage its expenditures and revenue in the country's economy.
What are fiscal policies?Fiscal policy is a government's use of government spending and taxation to influence the economy's growth, stability, and prosperity. This policy's central aim is to regulate the economy and reduce the negative impacts of economic fluctuations on the country's inhabitants.Fiscal policies may be expansionary or contractionary. In times of recession, the government's spending may be increased to improve economic growth, whereas during times of inflation, the government's spending is decreased to control economic growth. In a recession, expansionary fiscal policies may be employed to increase aggregate demand and employment by reducing tax rates and increasing government spending on programs. Alternatively, the government may pursue contractionary fiscal policies in times of inflation to reduce aggregate demand and slow down the economy. Fiscal policy is one of the government's main instruments for managing the economy's growth and stability. Fiscal policies may be expansionary or contractionary, depending on the state of the economy. Expansionary fiscal policies are used to improve economic growth, while contractionary fiscal policies are used to slow down economic growth during times of inflation.
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The treasurer for Pittsburgh Iron Works wishes to use financial futures to hedge her interest rate exposure. She will sell five Treasury futures contracts at $107,000 per contract. It is July and the contracts must be closed out in December of this year. Long-term interest rates are currently 16.30 percent. If they increase to 17.50 percent, assume the value of the contracts will go down by 15 percent. Also, if interest rates do increase by 1.2 percent, assume the firm will have additional interest expense on its business loans and other commitments of $90,000. This expense, of course, will be separate from the futures contracts.
a. What will be the profit or loss on the futures contract if interest rates increase to 17.50 percent by December when the contract is closed out? Profit on futures contracts
b-1. After considering the hedging, what is the net cost to the firm of the increased interest expense of $90,000? Net cost 8 oints eBook Hint Print References Check my work b-1. After considering the hedging, what is the net cost to the firm of the increased interest expense of $90,000? Net cost
b-2. What percent of this $90,000 cost did the treasurer effectively hedge away? (Input your answer as a percent rounded to 2 decimal places.) Percentage hedged away %
c. Indicate whether there would be a profit or loss on the futures contracts if interest rates went down. Loss Profit
A. The profit or loss on the futures contract if interest rates increase to 17.50 percent will be a loss of $80,250.
B-1. The net cost is $90,000 - Hedged portion
B-2. The percentage hedged away is 89.16%.
C. The treasurer would make a profit on the futures contracts.
How did we arrive at these values?a. To calculate the profit or loss on the futures contract if interest rates increase to 17.50 percent, we need to determine the change in the value of the contracts.
Given:
Initial value of each contract = $107,000
Number of contracts = 5
Percentage decrease in value if interest rates increase = 15%
Change in value per contract = $107,000 * 15% = $16,050
Total change in value for five contracts = $16,050 * 5 = $80,250
Profit or loss on the futures contract = Total change in value = -$80,250
Therefore, the profit or loss on the futures contract if interest rates increase to 17.50 percent will be a loss of $80,250.
b-1. The net cost to the firm of the increased interest expense of $90,000 can be calculated by subtracting the hedged portion from the total expense.
Net cost = Increased interest expense - Hedged portion
Net cost = $90,000 - Hedged portion
b-2. To calculate the percentage of the $90,000 cost that the treasurer effectively hedged away, we need to determine the hedged portion as a percentage of the total expense.
Hedged portion = Change in value of futures contracts / Total expense
Hedged portion = $80,250 / $90,000
Percentage hedged away = Hedged portion * 100%
Percentage hedged away = ($80,250 / $90,000) * 100%
c. If interest rates go down, the treasurer would make a profit on the futures contracts.
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beginning of March, Brister Software Company had Cash of $12,000, Accounts Receivable of $18,000, Accounts Payable of $4,000, and G. Brister, Capital of $26,000. During the month of March, the following transactions occurred: Analyze effects of transactions for existing company. 1. Purchased equipment for $23,000 from Digital Equipment. Paid $3,000 cash and signed a note payable for the balance. 2. Received $12,000 from customers for contracts billed in February. 3. Paid $3,000 for March rent of office space. 4. Paid $2,500 of the amounts owing to suppliers at the beginning of March. 5. Provided software services to Kwon Construction Company for $7,000 cash. 6. Paid BC Hydro $1,000 for energy used in March. 7. G. Brister withdrew $5,000 cash from the business. 8. Paid Digital Equipment $2,100 on account of the note payable issued for the equipment purchased in transaction 1. Of this, $100 was for interest expense. 9. Hired an employee to start working in April. 10. Incurred advertising expense on account for March, $1,500.
Beginning of March, Brister Software Company had Cash of $12,000, Accounts Receivable of $18,000, Accounts Payable of $4,000, and G. Brister, Capital of $26,000.
During the month of March, the following transactions occurred: Analyze effects of transactions for existing company
1. Purchased equipment for $23,000 from Digital Equipment. Paid $3,000 cash and signed a note payable for the balance.
2. Received $12,000 from customers for contracts billed in February.
3. Paid $3,000 for March rent of office space.
4. Paid $2,500 of the amounts owing to suppliers at the beginning of March.
5. Provided software services to Kwon Construction Company for $7,000 cash.
6. Paid BC Hydro $1,000 for energy used in March.
7. G. Brister withdrew $5,000 cash from the business.
8. Paid Digital Equipment $2,100 on account of the note payable issued for the equipment purchased in transaction 1. Of this, $100 was for interest expense.
9. Hired an employee to start working in April.
10. Incurred advertising expense on account for March, $1,500.The effects of transactions on the Brister Software Company are:1. Purchased equipment for $23,000 from Digital Equipment. Paid $3,000 cash and signed a note payable for the balance.
Effect: Increase in Equipment by $23,000Increase in Notes Payable by $20,000 Decrease in Cash by $3,0002. Received $12,000 from customers for contracts billed in February.
Effect: Increase in Cash by $12,000Increase in Accounts Receivable by $6,0003. Paid $3,000 for March rent of office space.Effect: Decrease in Cash by $3,0004. Paid $2,500 of the amounts owing to suppliers at the beginning of March.Effect: Decrease in Accounts Payable by $2,500Decrease in Cash by $2,5005.Provided software services to Kwon Construction Company for $7,000 cash.Effect: Increase in Cash by $7,0006. Paid BC Hydro $1,000 for energy used in March.Effect: Decrease in Cash by $1,0007. G. Brister withdrew $5,000 cash from the business. Effect: Decrease in Cash by $5,000Decrease in Capital by $5,0008. Paid Digital Equipment $2,100 on account of the note payable issued for the equipment purchased in transaction 1. Of this, $100 was for interest expense.Effect: Decrease in Cash by $ 2,100 Decrease in Notes Payable by $ 2,000 Decrease in Interest Expense by $1009. Hired an employee to start working in April.Effect: No effect on the current financial statement10. Incurred advertising expense on account for March, $1,500.Effect: Increase in Advertising Expenses by $1,500Increase in Accounts Payable by $1,500.Effect: Increase in Equipment by $23,000 Increase in Notes Payable by $20,000 Decrease in Cash by $3,000Increase in Cash by $12,000 Increase in Accounts Receivable by $6,000
Decrease in Cash by $3,000 Decrease in Accounts Payable by $2,500 Decrease in Cash by $2,500Increase in Cash by $7,000 Decrease in Cash by $1,000Decrease in Cash by $5,000 Decrease in Capital by $5,000Decrease in Cash by $2,100 Decrease in Notes Payable by $2,000Decrease in Interest Expense by $100Increase in Advertising Expense by $1,500Increase in Accounts Payable by $1,500.
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The production function of john business is Q = L + 1.5K where Q is the variable capturing the quantity of output produced, L is the variable measuring the units of labour hired and K is the variable measuring units of capital hired. Suppose also that the wage rate per unit of labour is $20 and the rental rate per unit of capital is $24. Given this information, answer the following questions.
(i) In the long run, what is the input bundle that john should choose to produce 200 units of output? Show your working and explain your answer. What will be the associated minimum total cost of production?
(ii) Diagrammatically represent john's chosen input combination carefully using an isoquant and an isocost line while keeping labour (L) on the horizontal axis.
i) The total cost of production will be C is $51K.
(i) In the long run, John's input bundle that he should choose to produce 200 units of output is given by the formulae:
MPᵣₗ = w / pᵣₗ
MPᵣₖ = r / pᵣₖ
Where, MP = marginal product of labor or capital, w = wage rate per unit of labor, r = rental rate per unit of capital, pᵣₗ = price of labor, and pᵣₖ = price of capital.
Given the production function as Q = L + 1.5K
We know that
MPᵣₗ = ΔQ / ΔL = 1.
Therefore, 1 = w / pᵣₗ,
pᵣₗ = $20
Therefore, w = $20.
We also know that
MPᵣₖ = ΔQ / ΔK
MPᵣₖ = 1.5
Therefore, 1.5 = r / pᵣₖ, pᵣₖ = $24
Therefore, r = $36.
From the above formulae, John's input bundle would be:
MPᵣₗ / MPᵣₖ = w / r
MPᵣₗ / 1.5 = 20 / 36
MPᵣₗ = 0.5MPᵣₖ
Q = 200 = L + 1.5K
When Q = 200, L = 0.5(1.5K)
Therefore, the input bundle John should choose to produce 200 units of output is L = 0.5(1.5K) and K = K.
The total cost of production will be C = wL + rK, where w is the wage rate, L is the amount of labor and r is the rental rate.
When L = 0.5(1.5K) and Q = 200, then the cost of production will be minimum.
The total cost of production will be
C = wL + rK
C = $20 (0.5)(1.5K) + $36K
C = $15K + $36K = $51K
(ii) Diagrammatically represent John's chosen input combination carefully using an isoquant and an iso cost line while keeping labor (L) on the horizontal axis.
For the diagrammatic representation of John's chosen input combination, the isoquant and is cost line are required.
The isoquant is a curve that shows the various input combinations that can produce the same quantity of output.
An iso cost line is a line that shows the various combinations of labor and capital that can be purchased with a given budget.
John's chosen input combination will be at the point of tangency between the isoquant and iso cost line. To draw the diagram, the following steps will be taken:
1. Choose a level of output Q = 200 units
2. Set up the equation for the isoquant by equating it to Q and solving for K in terms of L, where
Q = L + 1.5K
K = (Q-L)/1.5
3. Draw a graph with the amount of labor, L, on the horizontal axis and the amount of capital, K, on the vertical axis.
4. Plot the isoquant by using different values of L to solve for K, then plot the resulting points on the graph.
5. Draw an iso cost line by calculating the cost of production for different levels of L and K.
6. The point of tangency between the isoquant and iso cost line will be the optimal input combination.
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From the bank reconciliation, no entry was recorded for deposits in transit. This would cause
A. Assets to be understated
B. No impact since deposits aren’t recorded on the books
C. Assets to be overstated
D. No impact since deposits in transit are already included in the balance per books
From the bank reconciliation, no entry was recorded for deposits in transit. This would cause Assets to be overstated Option C.
Deposits in transit refer to deposits made by a company that have been recorded on the company's books but have not yet been recorded by the bank. These deposits are typically made near the end of a reporting period and may not appear on the bank statement until the following period.
When no entry is recorded for deposits in transit, it means that the company has included these deposits in its books but has not adjusted the bank balance to reflect them.
The bank reconciliation process is used to reconcile the company's cash balance per books with the cash balance per bank statement. It involves comparing the transactions recorded by the company with those recorded by the bank and making adjustments for any differences.
Deposits in transit are one of the items that need to be accounted for in the reconciliation process.
If no entry is recorded for deposits in transit, it means that the company has not adjusted its cash balance per books to include these deposits. As a result, the cash balance per books will be higher than the actual cash balance. This leads to an overstatement of assets because the company is reporting a higher amount of cash than it actually has.
Therefore, the correct answer is C. Assets to be overstated. Failing to record deposits in transit will result in an overstatement of assets on the company's books. It is important for the company to recognize and record these deposits to ensure accurate financial reporting and prevent misrepresentation of its financial position. Option C is correct.
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Daily demand at a store is normally distributed with a mean of 100 units and a standard deviation of 30 units. The store opens 7 days a week. What is the standard deviation of the weekly demand combined? a) 265 b) 210 Oc) 79 d) 30 e) Non of the above
The standard deviation of the weekly demand combined is approximately 137.5 units. Therefore, option e is correct.
To calculate the standard deviation of the weekly demand combined, we need to consider the properties of normally distributed variables. The standard deviation of the sum of independent normally distributed variables can be calculated by taking the square root of the sum of their variances.
In this case, the daily demand has a mean of 100 units and a standard deviation of 30 units. Since the store opens 7 days a week, we can calculate the variance of the weekly demand as follows:
Variance of weekly demand = (Standard deviation of daily demand)^2 * (Number of days in a week)
Variance of weekly demand = (30)^2 * 7 = 2,700 * 7 = 18,900
Taking the square root of the variance gives us the standard deviation of the weekly demand:
Standard deviation of weekly demand = √(Variance of weekly demand) = √(18,900) ≈ 137.5
Therefore, the standard deviation of the weekly demand combined is approximately 137.5 units. None of the provided answer choices match the calculated result.
The standard deviation of the weekly demand combined is approximately 137.5 units. None of the given answer choices match the calculated value.
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