he directors of Ori Ltd are currently considering two mutually exclusive investment projects. Both projects are concerned with the purchase of new plant. The following data is available. Project 1 Project 2 Initial investments R110 000 R70 000 Expected annual operating cash flow Year 1 R60 000 R36 000 Year 2 R30 000 R16 000 Year 3 R40 000 R28 000 Estimated residual value of project at year end of year R8 000 R5 000 The business has an estimated weighted average cost of capital (WACC) of 12%. The projects depreciate for accounting purposes over their useful lives on straight line basis (this depreciation has already been accounted for in the above operating cash flows). Neither project would increase the working capital of the business. Additional information: • Ignore taxation. The business has sufficient funds to meet all capital expenditure requirements. REQUIRED MARKS (a) Calculate for each project: (10) i. The net present value (NPV). ii. The discounted payback period. (5) (b) (10) Calculate the Internal Rate of Return (IRR). If the minimum rate of return is 15 %, suggest with reason whether you should accept the project or not.

Answers

Answer 1

a) Project 1:i. Net Present Value of Project 1 (NPV)Year1: $60,000 / (1+12%)1 = $53,571Year2: $30,000 / (1+12%)2 = $22,139Year3: $40,000 / (1+12%)3 = $26,865Residual Value: $8,000 / (1+12%)3 = $5,651NPV = ($110,000) + $53,571 + $22,139 + $26,865 + $5,651 = $-1,774ii.

Discounted Payback Period = year 2 plus $17,836 ($53,571 - $35,735) / $22,139Year 2 + 0.81 years (rounded to two decimal places) = 2.81 years Project 2:i. Net Present Value of Project 2 (NPV)Year1: $36,000 / (1+12%)1 = $32,143Year2: $16,000 / (1+12%)2 = $12,509Year3: $28,000 / (1+12%)3 = $17,858Residual Value: $5,000 / (1+12%)3 = $3,531NPV = ($70,000) + $32,143 + $12,509 + $17,858 + $3,531 = $-4,959ii.

Discounted Payback Period = year 2 plus $2,293 ($35,735 - $33,442) / $17,858Year 2 + 0.13 years (rounded to two decimal places) = 2.13 years b) Internal Rate of Return (IRR)To calculate the (IRR), we equate the present value of the expected cash flows to the initial investment. Year 1:NPV of project 1 at IRR: $-1,774; NPV of project 2 at IRR: $-4,959Year 2:NPV of project 1 at IRR: $-514; NPV of project 2 at IRR: $-1,645Year

3:NPV of project 1 at IRR: $1,321; NPV of project 2 at IRR: $363Residual Value :NPV of project 1 at IRR: $4,235; NPV of project 2 at IRR :$1,314Since the NPV of project 1 is positive for the assumed IRR value and that of project 2 is negative, it implies that the assumed rate of return of 12% is less than the internal rate of return of project 1 but greater than the internal rate of return of project 2.

As the minimum rate of return is 15% (greater than the internal rate of return of both projects), the organization should not undertake either of the projects. Hence, neither of the projects should be accepted.

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Related Questions

Which of the following bonds may be purchased at the cheapest price? O A 5% bond yielding 3% O A 5% bond yielding 7% OA 7% bond yielding 4% OA 6% bond yielding 6%

Answers

The bond that can be purchased at the cheapest price is the 7% bond yielding 4%

What is a bond?

A bond is a financial instrument that is utilized by businesses and governments to borrow money from the public. In general, bonds are financial instruments issued by corporations, municipalities, and governments to borrow money from the public. A bond is a type of debt security that pays interest to investors. The investor in a bond is basically lending money to the issuer and will receive interest payments over the life of the bond. There are four different types of bonds: fixed-rate bonds, floating-rate bonds, convertible bonds, and high-yield bonds. Fixed-rate bonds have a set rate of interest throughout the bond's term. The interest rate for floating-rate bonds is adjusted periodically depending on a benchmark interest rate such as the LIBOR. Convertible bonds are bonds that can be converted into common stock at the holder's option. High-yield bonds are issued by companies with lower credit ratings, offering higher interest rates to compensate for their riskiness. The answer to the question is the 7% bond yielding 4%.

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Listed property includes: a. Ambulances, hearses, taxis, school buses, and marked police and fire vehicles. b. Computers used exclusively at a regular business establishment and owned or leased by the person operating the business. c. Passenger automobiles weighing 6,000 pounds or less. d. Video-recording equipment used exclusively in a taxpayer's business.

Answers

Passenger automobiles weighing 6,000 pounds or less are considered listed property and Video-recording equipment used exclusively in a taxpayer’s business is considered listed property Option C and D are correct.

A specific type of depreciable asset that is subject to special tax rules if it is used predominantly for business purposes is known as Listed property. An asset must be used for business purposes no less than 50% of the time then it is considered a listed property.

According to the Internal Revenue Service (IRS), the listed property includes:

Automobiles weighing less than 6,000 pounds, excluding ambulances, hearses, and trucks or vans qualified nonpersonal use vehicles.Other property used for transportation purposes including trucks, buses, boats, airplanes, motorcycles, and other vehicles used to transport persons or goods.Properties are used for entertainment, recreation, or amusement.Computers and related peripheral equipment placed in service before January 1, 2018, unless used only at a regular business establishment and owned or leased by the person operating the establishment


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of the following statements, which is accurate regarding and its sponsored links? the payment involved is not performance-based. the amount that an advertiser owes for each click-through is set by the iab. as in the case of banner ads, advertisers pay just for being included in the search results. the advertisers pay only when a search engine user clicks on the link and visits the sponsor's site. the amount that an advertiser owes for each click-through is set by .

Answers

The accurate statement regarding sponsored links and its payment method is that "the advertisers pay only when a search engine user clicks on the link and visits the sponsor's site.

"Unlike banner ads, advertisers pay just for being included in the search results. The payment involved is not performance-based. The amount that an advertiser owes for each click-through is set by the advertiser and not the IAB (Internet Advertising Bureau).Advertises bid on the keywords they think their potential customers would enter while searching for a particular product or service.

The higher the bid, the higher the position of the ad in the sponsored search results. They then create ads that are displayed on search engine results pages (SERP) when someone enters that keyword into the search engine. Advertisers pay only when a search engine user clicks on the link and visits the sponsor's site.Sponsored search ads are usually sold through an auction-based model.

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A Company Has Fixed Assets: 4900000 Short-Term Debt: 600000 Current Assets: 5100000 Equity: 6400000 How Big Is The Company's Long-Term Debt?
A company has

Fixed assets: 4900000
Short-term debt: 600000
Current assets: 5100000
Equity: 6400000

How big is the company's long-term debt?

Answers

Given,

Fixed assets = $4900000$

Short term debt = $600000$

Current assets = $5100000$

Equity = $6400000$

We have to calculate the long-term debt. Let's calculate the total assets of the company.

Total assets = Fixed assets + Current assets

$= 4900000 + 5100000 = $ $10000000$

Now, calculate the total liabilities of the company.

Total liabilities = Short term debt + Long term debt Let long-term debt be $x$.

Total liabilities = $600000 + x$ Total equity = $6400000$  

Using the balance sheet formula,

Total assets = Total liabilities + Total equity

$10000000 = 600000 + x + 6400000$

Simplifying this equation, we get, $x = 300000$Therefore, the company's long-term debt is $300000$.

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assuming the company continues its current growth rate, what is the value of the company’s stock? please layout each step used to determine the value of the stock.

Answers

Based on the provided information, it is not possible to determine the exact value of the company's stock. Determining the value of a stock involves various factors such as financial performance, market conditions, industry trends, and investor sentiment, which require detailed analysis beyond the growth rate alone.

To determine the value of a company's stock, several factors need to be considered beyond just the growth rate. Here are the main steps involved:

1. Analyze financial performance: Evaluate the company's financial statements, including revenue, earnings, and cash flow. Assess factors like profitability, debt levels, and operating efficiency.

2. Assess industry and market conditions: Examine the company's position within its industry and evaluate the overall market dynamics. Consider factors such as competition, market share, barriers to entry, and regulatory environment.

3. Consider future growth prospects: Evaluate the company's growth potential based on factors like product innovation, expansion plans, market trends, and demand for its offerings. Consider both short-term and long-term growth prospects.

4. Conduct a comparative analysis: Compare the company's financial ratios, valuation multiples, and growth rates with industry peers and competitors. This helps gauge the relative value and performance of the stock.

5. Evaluate risk factors: Assess the company's exposure to various risks, such as economic downturns, industry-specific risks, regulatory changes, and geopolitical factors. Consider the company's ability to manage these risks effectively.

6. Consider investor sentiment: Take into account market sentiment and investor perception of the company. Factors like analyst recommendations, news, and market trends can influence the stock's value.

7. Apply valuation methods: Utilize various valuation techniques, such as discounted cash flow (DCF), price-to-earnings (P/E) ratio, price-to-sales (P/S) ratio, or other industry-specific methods, to estimate the intrinsic value of the stock.

It's important to note that even with all these steps, accurately determining the value of a stock is challenging due to the inherent uncertainties and unpredictable nature of the stock market. Professional financial analysis and expertise are often required for a comprehensive evaluation of a company's stock.

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A company buys an oil rig for $1,000,000 on January 1, 2020. The life of the rig is 10 years and the expected cost to dismantle the rig at the end of 10 years is $200,000 (present value at 10% is $77,110). The appropriate interest rate for the company is 10%. What expenses should be recorded for 2020 as a result of these events? A. Depreciation expense of $107,711 and interest expense of $7,711 B. Depreciation expense of $120,000 C. Depreciation expense of $100,000 and interest expense of $20,000 D. Depreciation expense of $120,000 and interest expense of $7,711

Answers

The total expense that should be recorded for 2020 is Depreciation expense of $120,000 and interest expense of $7,711

So, the answer is D.

The expenses that should be recorded for 2020 as a result of these events are Depreciation expense of $120,000 and interest expense of $7,711. Depreciation expense:

The oil rig has a useful life of ten years, therefore, the depreciation expense is calculated by dividing the cost of the rig by its useful life:

$1,000,000/10 = $100,000 per year.

However, the rig is purchased on January 1, therefore only 1/12th of the annual depreciation is to be charged in the year of purchase.

Therefore, depreciation expense for 2020 is $100,000/12 = $8,333

Interest expense: The company has purchased the rig by borrowing $1,000,000 from some lender. The company will be charged an interest rate of 10% per annum on the loan.

Since the rig is purchased on January 1, the company will have the use of the $1,000,000 for the full year of 2020.

Therefore, the interest expense for 2020 is: 10% × $1,000,000 = $100,000.

However, the company has to pay interest on the loan only after one year has passed since the date of loan.

Therefore, the amount that is due for interest in 2020 is $100,000/12 = $8,333.

The total expense that should be recorded for 2020 as a result of these events is therefore, $8,333 + $120,000 = $128,333

Therefore, the correct option is D. Depreciation expense of $120,000 and interest expense of $7,711.

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7. Firm XYZ is considering purchase of a $5,000 machine. The machine will be finance with 40% bank debt and 60% common stock. The common stock has a cost of 6.50% and the bank debt has a rate of 7.1%.

Answers

The weighted average cost of capital (WACC) is 6.74%. The cost of capital is the average rate of return a firm pays its investors.

The total amount of finance that the company will raise to buy the machine is $5,000.

The firm will finance the purchase of the machine with a 40% bank debt and 60% common stock.

Here are the calculations below:

Bank debt = 40% * $5,000= $2,000

Common stock = 60% * $5,000 = $3,000

Cost of bank debt = 7.1%

Cost of common stock = 6.5%

Therefore, the weighted average cost of capital (WACC) is calculated as follows:

WACC = (0.4 * 0.071) + (0.6 * 0.065)WACC

= 0.0284 + 0.039WACC

= 0.0674 or 6.74%

Thus, the weighted average cost of capital (WACC) is 6.74%.

The cost of capital is the average rate of return a firm pays its investors.

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The Puyer Corporation makes and sells only one product called a Deb. The company is in the process of preparing its Selling and Administrative Expense Budget for next year. The following budget data are available:
Monthly Variable Cost
Fixed Cost Per Deb Sold
Sales commissions $1.05 Shipping $1.55 Advertising $51,500 $0.35 Executive salaries $61,500 Depreciation on office equipment $21,500 Other $41,500 All of these expenses (except depreciation) are paid in cash in the month they are incurred.
If the company has budgeted to sell 16,500 Debs in February, then the total budgeted fixed selling and administrative expenses for February is:
a. $154.500
b. $134.500
c. $124.500
d. $176.000

Answers

The total budgeted fixed selling and administrative expenses for February is $154,500. The correct option is A.

The fixed selling and administrative expenses are:

Advertising: $51,500

Executive salaries: $61,500

Depreciation on office equipment: $21,500

Other: $41,500

Total: $176,000

However, the question states that all of these expenses (except depreciation) are paid in cash in the month they are incurred.

Depreciation is a non-cash expense, so it is not included in the calculation of the total budgeted fixed selling and administrative expenses.

Therefore, the total budgeted fixed selling and administrative expenses for February is:

Advertising: $51,500

Executive salaries: $61,500

Depreciation on office equipment: $0

Other: $41,500

Total: $154,500

Therefore, the correct option is A, $154.500.

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DISCUSS
three (3)
main differences between the money market and the capital
market.

Answers

The three main differences between the money market and the capital market are as follows:1. Security types. 2. Risk.

3. Liquidity.

The three main differences between the money market and the capital market are as follows:

1. Security types: The capital market is a type of financial market where debt securities, stocks, and other financial instruments with long-term maturities are traded. In contrast, the money market deals in short-term debt instruments like Treasury bills and commercial paper.

2. Risk: The money market is less risky than the capital market. In the money market, short-term debt instruments are available for a shorter time and are less exposed to default risk. However, capital markets are more exposed to credit risk, which is the risk of default on a debt obligation.

3. Liquidity: Money market securities are more liquid than capital market securities. Since most of the money market instruments have a short maturity period, they have a high degree of liquidity.

On the other hand, capital market securities have longer maturities, and therefore, they are less liquid compared to money market securities.

In conclusion, these are the three significant differences between the money market and the capital market.

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Concord Corporation had the following selected transactions in the month of March. The company adjusts its accounts monthly.

1. The company has a 6%, $14,000 bank loan payable due in one year. Interest is payable on the first day of each following month and was last paid on March 1.
2. At the end of March, the company earned $250 interest on its investments. The bank deposited this amount in Concord's cash account on April 1.
3 Concord has five employees who each earn $200 a day. Salaries are normally paid on Mondays for work completed Monday through Friday of the previous week. Salaries were last paid on Monday, March 29.
March 31 falls on a Wednesday this year. Salaries will be paid next on Monday, April 5.
At the end of March, the company owed the utility company $500 and the telephone company $180 for services received during the month. These bills were paid on April 10. (Hint: Use the Utilities Expense account for the utility and telephone services) 5 At the end of March, Concord has earned service revenue of $2.980 that it has not yet billed. It bills its clients for this amount on April 4.

Required:
Record the journal entries.

Answers

March 31: Debit Interest Expense $70, Credit Interest Payable $70.

March 31: Debit Cash $250, Credit Interest Revenue $250.

March 31: Debit Salaries Expense $1,000, Credit Salaries Payable $1,000.

March 31: Debit Utility Expense $500, Debit Telephone Expense $180, Credit Accounts Payable $680.

March 31: Debit Accounts Receivable $2,980, Credit Service Revenue $2,980.

On March 31, an interest expense of $70 is recorded for the accrued interest on the bank loan ($14,000 * 6% * 1/12).

On March 31, the cash deposit of $250 is recorded as interest revenue earned on investments.

On March 31, salaries expense of $1,000 is recorded for the five employees' daily earnings ($200 * 5 days * 1 week).

On March 31, utility expenses of $500 and telephone expenses of $180 are recorded for services received. Accounts payable of $680 are credited as the bills are not yet paid.

On March 31, service revenue of $2,980 is recorded as the amount earned but not yet billed. Accounts receivable are debited for the revenue.

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Choose the term that best matches the following description Supplies for office use were purchased during the year for $500, and $th of the office supplies remained on hand (unused) at year-end: ________

Answers

The term that best matches the description is "Office Supplies Expense."

Office supplies are considered an expense for a business when they are purchased for office use. In this case, $500 worth of office supplies was purchased during the year. However, a portion of these supplies remained unused at the end of the year.

When accounting for these unused supplies, the value of the supplies on hand is subtracted from the total cost of supplies purchased. This allows for a more accurate representation of the actual expenses incurred during the year.

The term "Office Supplies Expense" is used to account for the cost of supplies that have been used up or consumed during the year. It reflects the amount of supplies that were actually utilized in the business operations and is reported as an expense on the income statement.

By deducting the value of the unused supplies, the business ensures that only the cost of supplies consumed is recognized as an expense, providing a more accurate financial picture.

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Most local governments provide parking space. Most local governments also provide street lighting. Which of these is a private good or service, and which is the public good? Which characteristics of the public good mean that it is difficult to charge a price for? How do such public goods get paid for?

Answers

Street lighting is a public good, while parking space is a private good.

A private good is one that is excludable and rivalrous, meaning that its use can be restricted to people who pay for it. On the other hand, public goods are non-excludable and non-rivalrous, meaning that everyone can use them without paying for them and that one person's use of the good does not reduce the amount available for others.

Street lighting is a public good because it is non-excludable and non-rivalrous. Anyone can use street lighting, and one person's use does not reduce the availability of street lighting for others. Parking space, on the other hand, is a private good because it is excludable and rivalrous. A parking spot can be reserved for a specific person, and its use is limited to that person.

One of the characteristics of public goods is that it is difficult to charge a price for them because they are non-excludable. This means that it is difficult to prevent people from using them, even if they do not pay for them. Another characteristic is that public goods are usually provided by the government because private firms have no incentive to provide them.

Such public goods are usually paid for by the government through taxes and other sources of revenue. Since everyone benefits from public goods, the government provides them to ensure that everyone has access to essential services such as street lighting.

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As a settlement for an insurance​ claim, Craig was offered one of two choices. He could either accept a​ lump-sum amount of ​$2402 ​now, or accept quarterly payments of ​$134 for the next six years. If the money is placed into a trust fund earning 6.01​% compounded annually​, which is the better option and by how​ much?

Answers

The better option between accepting a lump-sum amount of $2402 now or accepting quarterly payments of $134 for the next six years if the money is placed into a trust fund earning 6.01% compounded annually is accepting the lump-sum amount of $2402 now.

This is because the lump-sum amount earns more interest than the quarterly payments of $134 for the next six years. To determine the interest earned by the lump-sum amount and the quarterly payments, the formula A=P(1+r/n)n*t is applied where A represents the final amount, P represents the principal amount, r represents the annual interest rate, n represents the number of times compounded per year, and t represents the time in years.

To determine the interest earned by the lump-sum amount, A=P(1+r/n)n*t = 2402(1+0.0601/4)4*6 = $3,268.95

To determine the interest earned by the quarterly payments, A=P(1+r/n)n*t = 134(1+0.0601/4)4*6*4 = $3,165.51.

Therefore, the better option is accepting the lump-sum amount of $2402 now because it will earn $103.44 more interest than the quarterly payments of $134 for the next six years.

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(a) How can a firm determine the best level of output and price for products that are jointly produced in fixed proportions? (b) Under what circumstances would a firm produce a product and then destroy it?

Answers

a) A firm determine the best level of output and price for products that are jointly produced in fixed proportions through joint cost allocations. b) A firm produces a product and destroy it when there is more cost of transportation, defective products, illegality and obsolesce.

(a) A firm can determine the best level of output and price for products that are jointly produced in fixed proportions through the joint cost allocation method. The firm calculates the joint cost of producing both products, then assigns a portion of the joint cost to each product based on their relative market values. This will give the firm an idea of the cost of producing each product separately, allowing them to determine the best level of output and price for each product.

(b) A firm may produce a product and then destroy it under the following circumstances:

If the cost of storing or transporting the product is greater than the revenue that can be generated from selling it.

If the product is defective or does not meet the firm's quality standards.

If the product is illegal or violates safety regulations.

If the firm is attempting to manipulate the market by reducing supply to increase prices.

If the product has become obsolete or outdated and is no longer in demand.

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Compose what you think would be a STRATEGIC QUESTION asked by
the CHRO (or by the most Senior HR Leader), TO his/her the DIRECT
REPORTS: at ANY COMPANY. EXPLAIN Why the question you propose is
importa

Answers

Strategic Question to be asked is  "How can we align our HR initiatives with the company's overall strategic goals and contribute to its long-term success?"  This strategic question is important because it emphasizes the need for HR leaders to align their efforts with the broader organizational strategy.

By asking this question, the CHRO or senior HR leader is promoting a strategic mindset within the HR team and encouraging them to think beyond day-to-day operations. It highlights the importance of HR as a strategic partner in driving organizational success.

Asking how HR initiatives can align with the company's strategic goals ensures that HR activities are not carried out in isolation but are integrated into the overall business strategy. It prompts HR leaders to consider how their efforts can directly support and contribute to the achievement of the organization's long-term objectives. This question encourages HR leaders to assess the current state of HR practices, identify areas for improvement, and proactively propose strategies that align HR functions with the company's vision, mission, and goals.

By posing this strategic question, the CHRO or senior HR leader is fostering a strategic mindset among their direct reports, promoting collaboration across departments, and enhancing the overall effectiveness and impact of HR within the organization. It ensures that HR initiatives are not only focused on day-to-day tasks but are also aligned with the company's strategic direction, enabling HR to play a vital role in driving organizational success and creating a competitive advantage.

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1- Can red estate assets become a liability? How or
why can’t?

Answers

No, real estate assets cannot become a liability as they are not considered to be debts or financial obligations

Real estate assets refer to properties that can be bought, developed, and sold to earn a profit. These properties can include land, buildings, commercial spaces, or residential homes. Although the value of real estate assets can fluctuate over time, they typically do not become a liability. The reason for this is that liabilities are considered to be debts or financial obligations that a business or individual owes to another party. In contrast, real estate assets are considered to be assets that have value and can be used to generate income or profit for their owner. Therefore, real estate assets cannot become a liability as they are not considered to be debts or financial obligations. Real estate assets can, however, become a liability if the owner has incurred debt to purchase or develop the property and is unable to pay back the loan. In this case, the real estate asset may need to be sold to repay the debt, which could result in a loss for the owner. Additionally, if the real estate asset is not properly maintained, it can lose value over time and become a liability for the owner.

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Perform an internal audit of Apple for the following functions
management, marketing, finance( three financial ratios would be
enough), R&D and operations

Answers

Apple Inc. is a multinational technology company with its headquarters in Cupertino, California.

The internal audit of Apple would examine various functions that include management, marketing, finance, research & development, and operations. The audit would provide an in-depth assessment of the company’s operations and its financial ratios.

The following financial ratios would be adequate for the assessment of Apple’s finance function:

Return on assets (ROA)

Return on Equity (ROE)

Gross Profit MarginReturn on Assets (ROA) is a ratio that measures the efficiency of a company’s assets in generating revenue.

Return on Equity (ROE) is a measure of the company’s profitability. Gross profit margin measures the percentage of profit earned by a company after deducting the cost of goods sold from the revenue.

In the research & development function, the audit would assess Apple’s R&D investments in comparison to its competitors to determine its innovation capabilities.

Operations would assess the effectiveness of Apple’s operations management in meeting the company's objectives and targets.

Marketing would assess the effectiveness of Apple’s marketing strategies to meet its marketing objectives. Finally, the audit would assess Apple’s management function to evaluate the effectiveness of the management team in the company’s operations.

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Which of the following statements is CORRECT? a. Using bonus depreciation rather than straight line depreciation normally has the effect of delaying the receipt of depreciation cash flows and thus reducing a project's forecasted NPV. b. Corporations must use the same depreciation method for both stockholder reporting and tax purposes. c. Since depreciation is a cash expense, the faster an asset is depreciated, the lower the projected NPV from Investing in the asset. d. Under current laws and regulations, corporations must use straight line depreciation for all assets whose lives are 5 years or longer. e. Using bonus depreciation rather than straight line depreciation normally has the effect of receiving depreciation cash flows immediately and thus increasing a project's forecasted NPV,

Answers

The correct statement among the following options is the one that reads:Using bonus depreciation rather than straight line depreciation normally has the effect of receiving depreciation cash flows immediately and thus increasing a project's forecasted NPV.

So, the answer is A.

Depreciation refers to the systematic allocation of the cost of a tangible asset over its useful life. Depreciation helps in reducing the book value of assets over time. It is important to note that the method of depreciation selected by an organization has a direct impact on its financial statements and NPV (net present value).

Hence, the answer of the question is A

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If you deposit today 11,445.85 in an account earning 8% compound interest, for how long should you invest the money in order to earn 12,488.36 (profit)?

Answers

You should invest the money for approximately 9.89 years to earn a profit of $12,488.36.

To determine the time required to earn a specific profit from a compound interest investment, we can use the formula for compound interest:

[tex]A = P(1 + r/n)^{(nt)[/tex]

Where:

A = Total amount after time t

P = Principal amount (initial deposit)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Time (in years)

In this case, we need to find the time required to earn a profit of $12,488.36, so the total amount (A) would be the initial deposit plus the profit:

A = P + Profit

A = 11,445.85 + 12,488.36

A = 23,934.21

We can rearrange the formula to solve for time (t):

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

Using the given information:

P = 11,445.85

A = 23,934.21

r = 8% = 0.08

n = 1 (interest compounded annually)

t = (log(23,934.21/11,445.85)) / (1 * log(1 + 0.08/1))

t = (log(2.089689)) / (log(1.08))

t ≈ 9.89 years

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mitchell co. has $3.9 million of debt, $2.5 million of preferred stock, and $3.3 million of common equity. what would be its weight on preferred stock? 0.23 0.34 0.29 0.26

Answers

To calculate the weight of preferred stock in Mitchell Co.'s capital structure, we need to determine the proportion of the total capital that is represented by the preferred stock.

The weight of preferred stock is calculated by dividing the value of preferred stock by the sum of all the components of the capital structure (debt, preferred stock, and common equity).

In this case, Mitchell Co. has $2.5 million of preferred stock. The total capital structure is the sum of debt ($3.9 million), preferred stock ($2.5 million), and common equity ($3.3 million), which equals $9.7 million.

Therefore, the weight of preferred stock is $2.5 million / $9.7 million ≈ 0.2588, or approximately 0.26.

Hence, the weight of preferred stock in Mitchell Co.'s capital structure is approximately 0.26 or 26%.

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If the multiplier in an economy is 2, a $20 billion increase in net exports will
Multiple Choice
a. increase GDP by $40 billion.
b. reduce GDP by $10 billion.
c. decrease GDP by $40 billion.
d. increase GDP by $20 billion.

Answers

With an economy multiplier of 2, a $20 billion increase in net exports would increase GDP by $40 billion.

Option a is correct .

If the economy has a multiplier of 2 and net exports increase by $20 billion, the impact on GDP can be calculated using the multiplier effect.

The formula for calculating the multiplier effect is:

Multiplier = 1 / (1 - MPC)

where MPC is the marginal propensity to consume.

The multiplier is given as 2, so we can substitute this value into the equation.

2 = 1 / (1 - MPCs)

Solve with MPC:

1 - MPC = 1/2

MPC = 1 - 1/2

MPC = 1/2

The marginal propensity to consume (MPC) is 1/2.

Now multiply the change in net exports by a multiplier to calculate the impact on GDP.

Change in GDP = Change in Net Exports * Multiplier

Change in GDP = $20 billion * 2

Change in GDP = $40 billion

Hence, Option a is correct .

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Boost Covid time

Covid-19 affected Boost Juice in many ways, largely due to the Government restrictions that included lockdowns and travel restrictions. This resulted in Boost juice relying on pre-packaged juices sold in the supermarkets in Australia. With the COVID-19 crisis, Boost Juice has seen new audiences rapidly adopting digital solutions to meet their desire to live ‘normal lives. Boost Juice featured a new ad promoting contactless ordering as restrictions became more relaxed. The "Boost Sip of the Day" was the name of the campaign created to encourage people to download their app to avoid queues.

Required:

a.Which macro-environmental force(s) have affected Boost Juice during the Covid time? Discuss THREE (3) most influential forces.

Answers

During the Covid-19 pandemic, Boost Juice was influenced by social and cultural factors, such as government restrictions and the shift towards health consciousness, technological factors like the adoption of contactless ordering, and economic factors including reduced footfall and reliance on supermarket sales.

During the Covid-19 pandemic, Boost Juice was influenced by several macro-environmental forces:

1. Social and Cultural Factors: Government restrictions and lockdowns significantly impacted Boost Juice's operations. Social distancing measures and reduced mobility affected customer footfall and the ability to operate physical stores.

The cultural shift towards health consciousness and the desire for normalcy also influenced Boost Juice's marketing and product offerings, leading to the promotion of contactless ordering and pre-packaged juices.

2. Technological Factors: The rapid adoption of digital solutions became crucial for businesses during the pandemic. Boost Juice leveraged technology by promoting contactless ordering through their app.

This shift in consumer behavior and the need for online platforms to facilitate transactions and maintain customer engagement became a significant force for Boost Juice.

3. Economic Factors: The economic consequences of the pandemic, including financial uncertainty, job losses, and changes in consumer spending patterns, affected Boost Juice.

With reduced footfall in physical stores, Boost Juice relied on supermarket sales of pre-packaged juices to sustain their business. Economic factors such as changes in disposable income and consumer confidence influenced the purchasing behavior of customers.

These three forces - social and cultural factors, technological factors, and economic factors - played a significant role in shaping Boost Juice's operations, marketing strategies, and product offerings during the Covid-19 pandemic.

Adapting to these forces became crucial for the survival and success of the business during these challenging times.

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suppose the price elasticity of demand for oranges is 1.8. if a fall frost destroys one-third of the nation's orange crop, how will that affect total revenue from oranges, all other things unchanged?

Answers

Total revenue from oranges will increase as a result of the fall frost, assuming a price elasticity of demand of [tex]1.8[/tex].

If the price elasticity of demand for oranges is [tex]1.8[/tex], a fall frost destroying one-third of the nation's orange crop will have the following effect on total revenue from oranges: Total revenue will increase.When the price elasticity of demand is greater than 1 (as in this case), a decrease in supply leads to a proportionally larger increase in price. As a result, the increase in price outweighs the decrease in quantity demanded, leading to an increase in total revenue.Since one-third of the orange crop is destroyed, the supply of oranges decreases. As a result, the price of oranges will likely increase. However, the increase in price will not be proportional to the decrease in quantity demanded. Instead, it will be greater due to the elasticity of demand being 1.8.The exact impact on total revenue cannot be determined without knowing specific values for the initial price and quantity of oranges, as well as the shape of the demand curve. However, given the price elasticity of demand of 1.8, we can conclude that total revenue from oranges will increase as a result of the fall frost.

In conclusion, a fall frost destroying one-third of the nation's orange crop will lead to an increase in total revenue from oranges, considering a price elasticity of demand of 1.8.

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Assume a trader who has no existing CPO positions is bullish on CPO spot and futures pricing over the next three months. He feels CPO prices will rise, and he wants to benefit from his prediction. He points out that the 3-month CPO futures with a 90-day maturity are now trading at $980/ton.

1. What is the appropriate speculative strategy?

2. Calculate the profit/loss if the CPO price is $1,176.00 in 90 days (at futures maturity).

3. Calculate the profit/loss if the CPO price drops 20% to $784 in 90 days.

Answers

Explanation :

The appropriate speculative strategy for the trader who has no existing CPO positions and is bullish on CPO spot and futures pricing over the next three months is to buy the 3-month CPO futures with a 90-day maturity.A long position is created by buying a futures contract with the anticipation of profiting from a rise in the price of the underlying commodity.

Therefore, the trader should purchase the futures contract with the expectation of profiting from the rise in price of the underlying commodity (CPO).

Calculation of profit/loss if the CPO price is $1,176.00 in 90 days (at futures maturity) is as follows:

Profit = (Selling price - Purchase price) × Contract size × No. of contracts

Profit = ($1,176 - $980) × 25 × 1Profit = $4,900

Therefore, if the CPO price is $1,176.00 in 90 days, the profit for the trader will be $4,900.

Calculation of profit/loss if the CPO price drops 20% to $784 in 90 days is as follows:

Loss = (Purchase price - Selling price) × Contract size × No. of contractsLoss = ($980 - $784) × 25 × 1

Loss = $4,900

Therefore, if the CPO price drops 20% to $784 in 90 days, the loss for the trader will be $4,900. Hence, the loss for the trader will be the same in both cases, if the price rises or falls by 20%.

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A customer buys 1 ABC Jan 35 put for a premium of $3 and simultaneously buys 100 shares of ABC stock for $35 per share. The customer will break even when the stock is selling at what price per share at expiration?
A) $3
B) $32
C) $35
D) $38

Answers

The customer will break even when the stock is selling at approximately $35.3 per share at expiration. (Option C).

How to Solve the Problem?

To determine a consumer's break-even price, we must evaluate the combined cost of the put option and the stock.

The customer pays a premium of $3 for 1 ABC Jan 35 put, hence the cost of the put option is $3.

Simultaneously, the customer buys 100 shares of ABC stock for $35 per share, for a total expenditure of $3500.

The total cost of the put option and the stock must be recovered to break even. As a result, the break-even price per share can be determined as follows:

Break-even price per share = (Cost of put option + Cost of stock) / Number of shares

Break-even price per share = ($3 + $3500) / 100

Break-even price per share = $353 / 100

Break-even price per share = $35.3

So, the customer will break even when the stock is selling at approximately $35.3 per share at expiration.

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Suppose the price elasticity of demand is inelastic then: A. a 1 percent fall in the price will lead to a higher than 1 percent increase in quantity demanded. B. a 1 percent increase in the price will lead to a lower than 1 percent decrease in quantity demanded. C. a 1 percent fall in the price will lead to a lower than 1 percent decrease in quantity demanded. D. a 1 percent increase in the price will lead to a higher than 1 percent decrease in quantity demanded. E. a 1 percent fall in the price will lead to a 1 percent increase in quantity demanded.

Answers

If the price elasticity of demand is inelastic then a 1 percent fall in the price will lead to a lower than 1 percent decrease in quantity demanded. The correct answer is C.

The elasticity of demand is the ratio of the percentage change in quantity demanded divided by the percentage change in price. If this ratio is more than 1, then the product is elastic, and if it is less than 1, then the product is inelastic. If the elasticity of demand is inelastic, the percentage change in quantity demanded will be less than the percentage change in price.

That means that if there is a 1 percent fall in the price, the quantity demanded will decrease, but by less than 1 percent. A 1 percent fall in the price will lead to a higher than 1 percent increase in quantity demanded. This statement contradicts the meaning of inelastic demand. The quantity demanded will increase, but by a smaller percentage. B. A 1 percent increase in the price will lead to a lower than 1 percent decrease in quantity demanded. If the elasticity of demand is inelastic, then this statement is true.

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Suppose that the probabilities of a customer purchasing 0, 1, or 2 books at a book store are 0.1, 0.2, and 0.7, respectively. What is the expected number of books a customer will purchase?
The expected number of books that the customer will purchase is (Type an integer or a decimal.)

Answers

The expected number of books a customer will purchase is 1.6.

To calculate the expected number of books a customer will purchase, we multiply each possible outcome by its corresponding probability and sum them up.

Let's denote the number of books a customer purchases as X. We have the probabilities:

P(X = 0) = 0.1

P(X = 1) = 0.2

P(X = 2) = 0.7

To calculate the expected number of books (E[X]), we use the formula:

E[X] = (0 * P(X = 0)) + (1 * P(X = 1)) + (2 * P(X = 2))

E[X] = (0 * 0.1) + (1 * 0.2) + (2 * 0.7)

E[X] = 0 + 0.2 + 1.4

E[X] = 1.6

It is important to note that the expected number of books can be a decimal value because it represents the average value based on the probabilities assigned to each outcome.

In this case, the expected number indicates that, on average, a customer is expected to purchase 1.6 books when visiting the bookstore.

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Problem 5 (15 points) Consider a system with 4 queues for Machines 1, 2, 3, and 4 in series. A job visits Machine 1, Machine 2, Machine 3, and Machine 4 and then leaves the system. The system has roug

Answers

A system with 4 queues for Machines: (a) The utilization is below one because the average time spent in each machine is less than the time it takes for a job to arrive. (b) The average numbers of jobs in Machines 1, 2, 3, and 4: 1800 jobs, 1080 jobs, 1440 jobs, 720 jobs. (c)  The average (total) number of jobs: 5040 jobs.

(a) The utilization of each machine is below one because the average time spent in each machine is less than the time it takes for a job to arrive, indicating that the machines are not fully occupied at all times.

(b) The average numbers of jobs in Machines 1, 2, 3, and 4 can be calculated using Little's Law, which states that the average number of jobs in a system is equal to the average arrival rate multiplied by the average time spent in the system.

Machine 1: Average number of jobs = Arrival rate × Time spent = (360 jobs/hour) × (5 minutes/job) = 1800 jobs

Machine 2: Average number of jobs = Arrival rate × Time spent = (360 jobs/hour) × (3 minutes/job) = 1080 jobs

Machine 3: Average number of jobs = Arrival rate × Time spent = (360 jobs/hour) × (4 minutes/job) = 1440 jobs

Machine 4: Average number of jobs = Arrival rate × Time spent = (360 jobs/hour) × (2 minutes/job) = 720 jobs

(c) The average number of jobs in the system can be obtained by summing the average numbers of jobs in each machine:

Average number of jobs in the system = Average number of jobs in Machine 1 + Average number of jobs in Machine 2 + Average number of jobs in Machine 3 + Average number of jobs in Machine 4

= 1800 + 1080 + 1440 + 720 = 5040 jobs.

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Complete question:

Consider a system with 4 queues for Machines 1, 2, 3, and 4 in series. A job visits Machine 1, Machine 2, Machine 3, and Machine 4 and then leaves the system. The system has roughly 360 jobs arriving per hour. On average, jobs spend 5 minutes in Machine 1, 3 minutes in Machine 2, 4 minutes in Machine 3, and 2 minutes in Machine 4. (All times include waiting time and time in service.)

(a) (5 points) Is utilization of each machine below one? Why or why not? (Please include your reasoning clearly in the written solution.)

(b) (8 points) What are the average numbers of jobs in Machines 1, 2, 3, and 4 respectively (including those in the queue and in service)?

(c) (2 points) What is the average (total) number of jobs in the system?

From a power station a constant electric current( 1 )of 1000 amperes is transmitted (All round the Year) through a specific length (length is 1 KM of wire )and a width of Cross section of w0,3 m).Compute the optimal annual equivalent cost (AEC) of the copper wire. Is the op;L, MGFDtimal value corresponding to maxima (or) minima. The resistance of the wire(R) is equal to 10*w-1 ohms. The energy losses associated with the copper wire is equivalent to 0,00112 *(r) * (t).(Tis operating time in hours). The salvage life of the wire is 20 years, the cost price of the copper is 100 Riyal/kg. and the salvage value of the material wire is 10 Riyal/kg.The energy cost is 0.10 Riyal per KWH. Assume the cross section of the wire is a square, the interest rate is 15% and the density of the copper is 10000 kg/m^3

Answers

To compute the optimal annual equivalent cost (AEC) of the copper wire, we need to consider the costs and salvage value associated with the wire over its lifespan. Here's the step-by-step calculation:

1. Calculate the weight of the wire:

Cross-sectional area = width * length = 0.3 m * 1000 m = 300 m^2Volume of the wire = cross-sectional area * length = 300 m^2 * 1000 m = 300,000 m^3Weight of the wire = volume * density = 300,000 m^3 * 10,000 kg/m^3 = 3,000,000,000 kg

2. Calculate the cost of the copper:

Cost of copper = weight of wire * cost price of copper = 3,000,000,000 kg * 100 Riyal/kg = 300,000,000,000 Riyal

3. Calculate the salvage value of the copper:

Salvage value of copper = weight of wire * salvage value of copper = 3,000,000,000 kg * 10 Riyal/kg = 30,000,000,000 Riyal

4. Calculate the annual energy losses:

Energy losses = 0.00112 * resistance * operating timeResistance = 10 * width^-1 = 10 * (0.3)^-1 = 33.33 ohmsEnergy losses = 0.00112 * 33.33 ohms * t (t is the operating time in hours)

5. Calculate the annual energy cost:

Energy cost = energy losses * energy cost per KWHAssuming the energy cost per KWH is 0.10 Riyal, the annual energy cost = 0.10 Riyal/KWH * energy losses

6. Calculate the total cost over the salvage life:

Total cost = cost of copper - salvage value of copper + present value of annual energy cost

To calculate the present value of the annual energy cost, we need to discount it over the salvage life using the interest rate. Assuming the interest rate is 15%:

Present value of annual energy cost = annual energy cost * (1 - (1 + interest rate)^(-salvage life)) / interest rate

7. Calculate the AEC:

AEC = total cost / present value factorThe present value factor can be calculated as follows:Present value factor = (1 - (1 + interest rate)^(-salvage life)) / interest rate

The resulting AEC value will indicate the optimal annual equivalent cost of the copper wire. To determine if it corresponds to a maximum or minimum, additional analysis and comparison with alternative scenarios would be necessary.

About value

The term in mathematics, the meaning of value is a numerical amount denoted by algebraic terms, quantities, quantities, or numbers.

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Suppose an economy described by the model of aggregate supply and demand (AS-AD)
that in the short term has a proportion of its flexible prices and is in short-term and long-term balance. Additionally, suppose there is a negative shock to aggregate demand.
a) Show graphically the state of the economy under these conditions.
b) Suppose that the Central Bank, which has low credibility due to its lack of
independence from the central government, exercises its monetary policy at its discretion and does not
smooth out the shock in the short-term product described above. What would be the consequence in the economy if the policy had such an external lag so strong that, when it began to be applied, the economy had already returned to its initial equilibrium? Also, show graphically.
c) Based on the above, what alternatives would you recommend, as a
policy, so that the Central Bank manages to have opportune effects on the product
short-run and the long-run price level?

Answers

Short-run and long-run price level in an economy described by the model of aggregate supply and demand (AS-AD)The short-run price level in an economy described by the model of aggregate supply and demand (AS-AD) will be the level at which the aggregate demand (AD) intersects the aggregate supply (AS) curve. The long-run price level, on the other hand, will be the level at which the economy achieves potential output or full employment.

In the AS-AD model, short-run and long-run refer to the time it takes for prices and wages to adjust to changes in the economy. In the short-run, prices and wages are inflexible, meaning they don't respond immediately to changes in supply and demand. As a result, changes in aggregate demand can temporarily shift the economy away from its long-run equilibrium, creating short-run fluctuations in output and employment. The long-run equilibrium is the state in which the economy is operating at its potential output or full employment. At this point, the economy's output is equal to the aggregate supply, which is determined by the availability of labor, capital, and technology. In the long-run, prices and wages are flexible, meaning they adjust to changes in supply and demand, allowing the economy to return to its long-run equilibrium .

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