You are considering a project with the following data: Internal rate of return 8.7% Profitability ratio.98 Net present value -$393 Payback period 2.44 years. Required return 9.5% Which one of the following is correct given this information? Multiple Choice - The discount rate used in computing the net present value must have been less than 8.7%. - The discounted payback period will have to be less than 2.44 years. - The discount rate used to compute the profitability ratio was equal to the internal rate of return. - This project should be accepted based on the profitability ratio. - This project should be rejected based on the internal rate of return.

Answers

Answer 1

After the careful evaluation, the correct statement is the third option, which states that, the discount rate utilized in computing the NPV must have been less than 8.7%, and hence we can conclude that the internal rate of return is not acceptable in the given case.

In consideration of the following data for a project, there are several possible conclusions we can make from the given data:

Internal rate of return 8.7%

Profitability ratio.98

Net present value -$393

Payback period 2.44 years

Required return 9.5%

The best conclusion from the data is that the project should be rejected based on the internal rate of return.

This is because the internal rate of return is less than the required return of 9.5%.

In other words, the rate of return from the project is lower than the minimum return expected, indicating that the project may not be profitable.

In order for the net present value to be negative, the discount rate utilized in the calculation must have been lower than 8.7%.

A discounted payback period will have to be more than 2.44 years to account for the negative NPV.

The discount rate used to compute the profitability ratio was not equal to the internal rate of return but the required rate of return is equal to the discount rate used in computing the profitability ratio.

Thus, we can conclude that the internal rate of return is not acceptable in the given case.

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Related Questions

When Beverly administers the math test to accounting clerk candidates, the average score is 65%. But when Carol administers the same test, the score average is 83%. What does this indicate about the test?

Answers

When Beverly administers the math test to accounting clerk candidates, the average score is 65%.However, when Carol administers the same test, the average score is 83%.

This indicates that the difficulty level of the test may vary depending on who administers it.In addition, the methods of administration, such as the format and instructions given to the candidates, could impact the results as well.

Another possible explanation is that there may be differences in the testing environment that could influence the test scores.To ensure that the test is reliable and consistent, it is important to conduct extensive research and development to create an accurate assessment.

This includes defining the testing objectives, ensuring that the questions measure the intended knowledge and skills, and pilot testing the assessment to validate its reliability and validity before using it to make any decisions.

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Blossom Company must perform an impairment test on its equipment. The equipment will produce the following cash flows: Year 1, $37,000; Year 2, $40,000; Year 3, $64,500. The discount rate is 12%. What is the value in use for this equipment?

Answers

Value in Use refers to the present value of future cash flows from the continuing use of an asset and from its disposal at the end of its useful life.

The Blossom Company needs to perform an impairment test on its equipment. The following information is provided:Year 1, $37,000Year 2, $40,000Year 3, $64,500Discount Rate=12%To determine the value in use for this equipment, we need to calculate the present value of each year's cash flows, which can be done using the following formula:Present Value of Cash Flow

=CF1/(1+r)^1+CF2/(1+r)^2+CF3/(1+r)^3Where,CF1, CF2, CF3 represent cash flows for Year 1, Year 2, and Year 3, respectively.r = Discount RateLet's plug in the values to calculate the present value of each year's cash flows:Present Value of Year 1 Cash Flow

=37,000/(1+0.12)^1

=33,035Present Value of Year 2 Cash Flow

=40,000/(1+0.12)^2

=31,558Present Value of Year 3 Cash Flow

=64,500/(1+0.12)^3

=46,599Total Present Value of Cash Flows

=33,035+31,558+46,599

=111,192Therefore, the value in use for this equipment is $111,192.

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QUESTION 24
A firm is analysing its cash budget for June. Assuming its total cash receipts is $1230 and cash expenses is $745. If the company has a minimum. desired cash balance of $1000 and ended the month of May with $300, how much loans must the firm take to meet its requirements for June.
O a. $1000
O b. $215
O c. $515
O d. No loans are needed

Answers

The firm has the following cash inflows and outflows for June:

Cash receipts: $1230

Cash expenses: $745

Desired ending cash balance: $1000

Beginning cash balance: $300

To determine the amount of loans the firm must take to meet its requirements for June, we need to calculate the [cash shortfall](poe://www.poe.com/_api/key_phrase?phrase=cash%20shortfall&prompt=Tell%20me%20more%20about%20cash%20shortfall.), which is the amount by which the [desired ending cash balance](poe://www.poe.com/_api/key_phrase?phrase=desired%20ending%20cash%20balance&prompt=Tell%20me%20more%20about%20desired%20ending%20cash%20balance.) exceeds the sum of [cash receipts](poe://www.poe.com/_api/key_phrase?phrase=cash%20receipts&prompt=Tell%20me%20more%20about%20cash%20receipts.) and cash expenses:

Cash shortfall = [Desired ending cash](poe://www.poe.com/_api/key_phrase?phrase=Desired%20ending%20cash&prompt=Tell%20me%20more%20about%20Desired%20ending%20cash.) balance - (Cash receipts - Cash expenses)

Cash shortfall = $1000 - ($1230 - $745)

Cash shortfall = $1000 - $485

Cash shortfall = $515

Since the cash shortfall is $515, the firm must take out loans in the amount of $515 to meet its requirements for June. Therefore, the correct answer is option (C) $515.

A sales rep is showing a customer engagement rings. The customer shows interest in a particular ring, but when the rep mentions its price, he hesitates, saying, " Let me think about it . " Which response (s) would be effective? Select all that apply.
a) Tell him about any free services offered with ring purchase
b) Agree that he should take his time making this important decision
c) Encourage him to come back in a few weeks when the rings are on sale
d) Mention that the prices of the rings in this collection could increase soon
e) Tell him about an available payment plan
f) Ask him if the price is the only thing holding him back

Answers

The effective responses are a) Tell him about any free services offered with ring purchase, b) Agree that he should take his time making this important decision, and e) Tell him about an available payment plan.

When a customer shows interest in a particular ring, but when the sales representative mentions its price, the customer hesitates, saying "Let me think abo it." In such situations, there are certain responses that the sales representative should follow that can be effective. These are:

a) Tell him about any free services offered with ring purchase: This response helps in adding value to the purchase and thus, the customer may think of buying the ring as it has more benefits.

b) Agree that he should take his time making this important decision: This response will help in creating trust and the customer may come back later to buy the ring.

c) Encourage him to come back in a few weeks when the rings are on sale: This response can be effective if the customer is waiting to buy the ring when it is at a discounted price.

d) Mention that the prices of the rings in this collection could increase soon: This response may create a sense of urgency, but it could also make the customer feel pressured into buying the ring.

e) Tell him about an available payment plan: This response may help the customer buy the ring in easy installments.

f) Ask him if the price is the only thing holding him back: This response can help the sales representative understand the customer's concerns and offer solutions to overcome them.

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An important financial institution that provide companies with merger and acquisition related consultation is the
Select one:
a. investment bank.
b. finance company.
c. stock exchange.
d. brokerage house.

Answers

The correct answer is a. investment bank. An investment bank is an important financial institution that provides companies with merger and acquisition (M&A) related consultation.

Investment banks play a crucial role in facilitating M&A transactions by advising companies on various aspects such as valuation, deal structuring, negotiation strategies, and financing options.
Investment banks also assist in conducting due diligence, preparing financial models, and managing the overall process of mergers and acquisitions. They act as intermediaries between buyers and sellers, helping clients navigate through complex transactions and providing expertise in corporate finance and capital markets.
Finance companies, stock exchanges, and brokerage houses may have other roles in the financial industry, but they are not typically the primary institutions involved in providing M&A consultation services to companies.

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Please describe your experience with managing calendars,
multiple tasks and projects.

Answers

When it comes to managing calendars, it's important to have a centralized system where you can track and schedule appointments, events, and deadlines.

For managing multiple tasks and projects, it's beneficial to use project management tools such as Trello, Asana, or Monday.com. These tools allow you to create task lists, assign deadlines, set priorities, and track progress. Break down larger projects into smaller, actionable tasks to make them more manageable. Prioritize tasks based on urgency and importance, and consider using techniques like the Eisenhower Matrix or the Pomodoro Technique to improve productivity and focus.

To effectively manage multiple projects, consider using project management methodologies such as Agile or Kanban. These methodologies provide frameworks for planning, organizing, and executing projects in a structured and efficient manner. Use tools that enable collaboration and communication among team members, ensuring everyone is aware of their responsibilities and deadlines.

In summary, managing calendars, tasks, and projects requires effective planning, prioritization, and organization. Utilizing digital tools and project management methodologies can greatly enhance your ability to stay organized and meet deadlines. Regularly review and adjust your schedules and tasks as needed to maintain productivity and ensure successful project completion.

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Explain the range of products and services provided by various
models of export credit
agencies and how they can support organizations in their
international trade transactions.

Answers

The products and services provided by ECAs support organizations in their international trade transactions by mitigating risks, providing financial assistance, enabling access to new markets, and facilitating foreign investments.

Export Credit Insurance: ECAs provide insurance coverage to exporters against the risk of non-payment by foreign buyers.

This helps exporters mitigate the risk of non-payment and enables them to offer more favorable credit terms to their international customers.

Export Financing: ECAs offer different types of export financing s to support exporters. This can include direct loans, guarantees, or lines of credit provided to exporters or their financial institutions. Export financing helps exporters secure working capital, bridge cash flow gaps, or provide funding for the production and delivery of goods and services.

Credit and Political Risk Mitigation: ECAs help organizations manage credit and political risks associated with international trade. They provide risk assessment services, political risk insurance, and support for project finance transactions in challenging or high-risk markets. This allows organizations to expand into new markets and undertake projects that may otherwise be deemed too risky.  

Trade Promotion and Market Access: Some ECAs assist organizations in accessing new markets by providing market research, trade information, and networking opportunities. They may also collaborate with trade promotion agencies to support BUSINESS development and international market expansion initiatives.

Foreign Investment Support: ECAs often play a role in supporting foreign direct investment (FDI) by providing insurance or financing for investments made by domestic companies in foreign markets. This encourages cross-border investments and helps organizations expand their operations globally.

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which of the following may be patented? a. machines. b. abstract ideas c. laws of nature. d. all of the above.

Answers

The items which can be patented is Machines (a) since they are tangible in nature they are suitable for patents.

What is a patent?

A patent is a kind of intellectual property that gives its owner the right to exclude others from making, using, selling, and importing an invention for a limited period of time, usually twenty years, in exchange for public disclosure of the invention. A patent, like any other property right, may be sold, licensed, mortgaged, assigned, or transferred, either in its entirety or in part.

Inventions that may be patented:

Patents are granted for the invention of novel, useful, and non-obvious processes, machines, articles of manufacture, or compositions of matter, or for the new and useful enhancements of such claims. It doesn't, however, include laws of nature, physical phenomena, and abstract ideas that aren't useful or tangible.

Some examples of patents are as follows:

Machine Patent can be granted for a machine which includes engines, transformers, wheels, and other mechanisms and which is made of various mechanical and electronic components. Thus, machines may be patented.

Laws of Nature Patents cannot be granted to the laws of nature.

Abstract Ideas: Abstract ideas can not be patented. It is not useful or tangible and thus cannot be patented.

So, the correct option is (a) machines.

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1.67/10 E Jason Allen is evaluating two new business opportunities. Each of the opportunities shown below has a 15-year life. Jason uses a 12% discount rate. Option 1 Option 2 Equipment purchase and i

Answers

The net present value of the two opportunities are $29,513.74 and $54,817.24 respectively.

What is the net present value of the two business opportunities?

To get net present value (NPV) of each opportunity, we need to discount the annual cash flows and the equipment overhauls using a 12% discount rate.

For Option 1:

The initial investment is $70,100.

The annual cash flow is $28,300 for 15 years.

The equipment overhaul in year 6 has a cost of $4,740.

NPV = -Initial Investment + (Cash Flow / (1 + Discount Rate)^Year) + (Overhaul Cost / (1 + Discount Rate)^Year)

NPV = -$70,100 + ($28,300 / (1 + 0.12)^1) + ($28,300 / (1 + 0.12)^2) + $28,300 / (1 + 0.12)^3) + $28,300 / (1 + 0.12)^4) + ($28,300 / (1 + 0.12)^5) - ($4,740 / (1 + 0.12)^6)

NPV = 29,513.735

NPV = $29,513.74.

For Option 2:

The initial investment is $81,950.

The annual cash flow is $30,500 for 15 years.

The equipment overhaul in year 8 has a cost of $6,010.

NPV = -Initial Investment + (Cash Flow / (1 + Discount Rate)^Year) + (Overhaul Cost / (1 + Discount Rate)^Year)

NPV = -$81,950 + ($30,500 / (1 + 0.12)^1) + ($30,500 / (1 + 0.12)^2) + $30,500 / (1 + 0.12)^3 + $30,500 / (1 + 0.12)^4 + ($30,500 / (1 + 0.12)^5) + $30,500 / (1 + 0.12)^6 + $30,500 / (1 + 0.12)^7 - ($6,010 / (1 + 0.12)^8)

NPV = $54817.2362351

NPV = $54,817.24.

Full question:

E Jason Allen is evaluating two new business opportunities. Each of the opportunities shown below has a 15-year life. Jason uses a 12% discount rate. Option 1 Option 2 Equipment purchase and installation $70,100 $81,950 Annual cash flow $28,300 $30,500 Equipment overhaul in year 6 $4,740 Equipment overhaul in year 8. $6,010 Click here to view the factor table. Calculate the net present value of the two opportunities.

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Post the following journal entries of Linda's Ironing Services in the General Ledger using T-account form and prepare the Unadjusted Trial Balance. Write your answer in a separate sheet of clean paper. Sept. 1 Cash 12,500.00 Capital, Linda Smith 12,500.00 1 Prepaid Advertising 600.00
Cash 600.00
1 Ironing Supplies 100.00
Cash 100.00
1 Ironing Equipment 600.00
Cash 300.00
Accounts Payable 300.00 5 Cash 2,500.00 Capital, Linda Santos 2,500.00 8 Accounts Payable 150.00
Cash 150.00
10 Withdrawals, Linda Santos 300.00
Cash 300.00
15 Cash 15,000.00
Accounts Receivable 2,000.00 Ironing Revenue 17,000.00
18 Rent Expense 5,000.00
Cash 5,000.00
20 Cash 100.00
Unearned Ironing Revenue 100.00
29 Telephone Expense 200.00
Cash 200.00

Answers

The journal entries for Linda's Ironing Services have been recorded in General Ledger, and the Unadjusted Trial Balance shows a total debit amount of $52,050.00 and a total credit amount of $23,150.00.

General Ledger:

1. Cash:

  - Sept. 1: Debit $12,500.00 (Capital, Linda Smith)

  - Sept. 1: Debit $600.00 (Prepaid Advertising)

  - Sept. 1: Debit $100.00 (Ironing Supplies)

  - Sept. 1: Debit $300.00 (Ironing Equipment)

  - Sept. 5: Debit $2,500.00 (Capital, Linda Santos)

  - Sept. 8: Debit $150.00 (Accounts Payable)

  - Sept. 10: Debit $300.00 (Withdrawals, Linda Santos)

  - Sept. 15: Debit $15,000.00 (Accounts Receivable)

  - Sept. 18: Credit $5,000.00 (Rent Expense)

  - Sept. 20: Debit $100.00 (Unearned Ironing Revenue)

  - Sept. 29: Credit $200.00 (Telephone Expense)

2. Accounts Receivable:

  - Sept. 15: Debit $2,000.00 (Ironing Revenue)

3. Ironing Revenue:

  - Sept. 15: Credit $17,000.00 (Accounts Receivable)

4. Prepaid Advertising:

  - Sept. 1: Credit $600.00 (Cash)

5. Ironing Supplies:

  - Sept. 1: Credit $100.00 (Cash)

6. Ironing Equipment:

  - Sept. 1: Credit $600.00 (Cash)

7. Accounts Payable:

  - Sept. 1: Credit $300.00 (Cash)

  - Sept. 8: Credit $150.00 (Cash)

8. Capital, Linda Smith:

  - Sept. 1: Credit $12,500.00 (Cash)

9. Capital, Linda Santos:

  - Sept. 5: Credit $2,500.00 (Cash)

10. Withdrawals, Linda Santos:

    - Sept. 10: Credit $300.00 (Cash)

11. Unearned Ironing Revenue:

    - Sept. 20: Credit $100.00 (Cash)

12. Rent Expense:

    - Sept. 18: Debit $5,000.00 (Cash)

13. Telephone Expense:

    - Sept. 29: Debit $200.00 (Cash)

Unadjusted Trial Balance:

- Debit: $52,050.00

- Credit: $23,150.00

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Compute activity-based cost rate, time equations – CAN Company sells multiple products and uses a time-driven ABC System. The company’s products must be wrapped individually before shipping. The packaging and shipping department employs 24 people. Each person works 20 days per month on average. Employees in this department work an 8-hour shift that includes a total of 75 minutes for breaks and a meal. The full compensation, including fringe benefits, for each packaging and shipping employee is $4,050 per month. (SHOW WORK)
Using the principles discussed in this chapter and time-driven ABC, what is the rate per hour for each packaging and shipping employee at CAN?
On average, it takes one packaging and shipping employee 15 minutes to prepare a package and label, independent of the number or types of items in the shipment, plus 6 minutes per item to bubble wrap and pack it in the carton. Using CAN’s time-driven ABC system, what is the packaging and shipping cost assigned to Order 705, which consisted of 40 items?

Answers

The rate per hour for each packaging and shipping employee at CAN is $16.88 per hour. The calculation is as follows:

1. Average workdays per month: 20 days.

2. Total work hours per month: 24 employees * 20 days * (8 hours - 75 minutes/60) = 3840 hours.

3. Total compensation per month: $4,050.

4. Rate per hour: $4,050 / 3840 hours = $1.055 per hour.

5. Adjusted rate per hour: $1.055 * 1.5 (to account for fringe benefits) = $1.583.

6. Final rate per hour: $1.583 * 1.10 (to account for other costs) = $1.741.

7. Convert rate per hour to rate per minute: $1.741 / 60 = $0.029 per minute.

8. Convert rate per minute to rate per hour: $0.029 * 60 = $1.74 per hour.

The rate per hour for each packaging and shipping employee is calculated by dividing the total compensation by the total work hours. Additional factors such as fringe benefits and other costs are taken into account to determine the adjusted rate. The final rate per hour is then converted to the rate per minute and vice versa to facilitate the subsequent calculations.

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QUESTION 10 Match the company description with the competitive priority. E. Jimmy John's slogan is "Freaky Fast" and typically delivers in 15 minutes or less. B. A local craft brewery markets that the

Answers

Summary of the case: The case describes a store that sells washing machines and caters to different segments of society with various marketing strategies.

They offer different brands (IFB, Samsung, Toshiba, LG, and local brands) and types of machines (automatic, semi-automatic, manual) to meet the needs of different income groups. Customers, particularly those buying automatic machines, consider factors such as color, style, electric consumption, handling care, and price. Many customers take their time and make their purchasing decisions after careful consideration of the desired attributes. Sales are highest during marriage seasons and festivals. Housewives have a significant influence on the buying decisions as they are the primary users. The store focuses on customer satisfaction, and salespeople are instructed to prioritize customer needs.

Marketing strategies in the case: Advertisement: Promote the different brands and types of washing machines to target specific segments based on income and preferences.

Promotion: Offer discounts, special deals, or incentives during marriage seasons and festivals to boost sales.

Persuasion: Emphasize the benefits and features of each machine type and brand to align with customer preferences.

Closing the sales: Provide excellent customer service, address customer concerns, and offer assistance in the decision-making process to ensure a successful purchase.

Influencers in the purchase decisions:

Spouses: Customers buying automatic machines often come with their spouses and consider their opinions in the decision-making process.

Children: Children have good knowledge of machine attributes due to exposure to media and their opinions influence parents' buying decisions.

Group interaction and decision-making: Group interaction can play a role in the buyer's decision-making process. Customers may discuss options, gather opinions, and consider input from family members, leading to a more informed decision.

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The problem in stretching out the maturity of marketable securities is that:
Multiple Choice

a) you are legally locked in until the maturity date.
b) longer term securities are often not available.
c) there is greater possibility of loss.
d) interest rates are generally lower.

Answers

The problem in stretching out the maturity of marketable securities is that interest rates are generally lower for longer-term securities. The correct answer is  option (d)

When investors choose to invest in longer-term marketable securities, such as bonds or certificates of deposit (CDs) with longer maturities, they typically expect to receive higher interest rates as compensation for tying up their funds for a longer period. This is because longer-term investments are exposed to more risks and uncertainties compared to short-term investments. However, in a market environment where interest rates are low, the rates offered on longer-term securities tend to be lower as well.

This means that investors may not receive a significant increase in interest income by stretching out the maturity of their investments. It can lead to lower overall returns and reduced income generation from their portfolio. Additionally, longer-term securities may also be less liquid and have limited availability in the market. This can make it challenging to find suitable investment options with longer maturities, limiting the flexibility and diversification potential of an investor's portfolio.

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American companies form the majority of MNCs (multi-national corporations). On the other hand, many people believe that Americans are poorly equipped to assist an organisation to enter into a non-American culture. i) Explain the characteristics of the American culture that would prohibit understanding and empathetic behavior towards another culture. (5 Marks) ANSWER i): ** Answer box will enlarge as you type ii) Explain the Uppsala model and how it assists organisations to expand globally. (6 Marks)

Answers

i) The characteristics of American culture that may hinder understanding and empathetic behavior towards another culture include:

Individualism: American culture places a strong emphasis on individual achievement and independence. This focus on the self may make it challenging for some individuals to fully understand and appreciate collectivist cultures that prioritize group harmony and interdependence.

Ethnocentrism: Ethnocentrism is the tendency to view one's own culture as superior or more important than others. Some Americans may exhibit ethnocentric attitudes, which can hinder their ability to appreciate and understand different cultural perspectives.

Cultural Homogeneity: The United States is a culturally diverse country, but there can be a perception of cultural homogeneity due to the dominance of American popular culture globally. This may lead to assumptions and stereotypes about other cultures, limiting genuine curiosity and understanding.

Language Barrier: English is the primary language spoken in the United States, and not all Americans may have fluency or proficiency in other languages. This language barrier can create communication challenges and hinder cross-cultural understanding.

Limited Exposure: Due to geographical factors and historical contexts, some Americans may have limited exposure to other cultures. This lack of exposure can result in a lack of cultural awareness and sensitivity.

ii) The Uppsala model, also known as the Uppsala Internationalization Process Model, is a theoretical framework that explains how organizations gradually expand their international operations. The model suggests that companies first enter foreign markets that are culturally and geographically close to their home market before expanding into more distant and culturally diverse markets.

The Uppsala model proposes four key stages of internationalization: no regular export activities, export via independent representatives, establishment of foreign sales subsidiaries, and production/manufacturing facilities in foreign countries. The model emphasizes learning from experiential knowledge and incremental commitment to foreign markets.

This model assists organizations in expanding globally by providing a systematic approach to internationalization. It acknowledges the importance of understanding and adapting to different cultural contexts gradually. By starting with markets that are more familiar and gradually progressing to more diverse markets, organizations can accumulate knowledge, reduce uncertainty, and mitigate risks associated with international expansion.

Overall, the Uppsala model provides a strategic framework that helps organizations navigate the complexities of global expansion and adapt their operations to different cultural contexts along the way.

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Suppose the real risk-free rate is 2.50%
and the future rate of inflation is expected to be constant at 4.10%
. What rate of return would you expect on a 5-year Treasury security, assuming the pure expectations theory is valid?

Answers

The expected rate of return on a 5-year Treasury security can be calculated as follows:R = Rf + IP = 2.50% + 4.10% = 6.60%

The Pure Expectations Theory and Expected Return on a Treasury SecurityThe pure expectations theory proposes that the shape of the yield curve depends entirely on investor's expectations of future inflation rates. This means that if investors expect higher inflation rates in the future, then they will demand higher yields on long-term securities than on short-term securities.

Hence, the yield curve will slope upwards.What is the rate of return on a 5-year Treasury security?To calculate the expected rate of return on a 5-year Treasury security using the pure expectations theory, you will have to use the following formula:R = Rf + IPwhere,Rf = Real risk-free rateIP = Expected inflation premiumR = Expected rate of return

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AMA Company's bank statement for 31st December 2021 showed a cash balance of $2000. The company's Cash account in its general ledger showed a $1645 debit balance. The following information was also available as of December 31 a. A $100 NSF check from a customer, J. Steel is shown on the bank statement but not yet recorded by the company. b. The December 31st cash receipts, $1,250, were placed in the bank's night depository after banking hours and this amount did not appear on the December 31st bank statement. c. A $15 debit memorandum for checks Book deducted by the bank. d. Outstanding checks amounted to $1,120. e. A customer's note for $825 was collected by the bank. A collection fee of $25 was deducted by the bank and the difference was deposited in the account f. The bank erroneously deducts a check for $200 by mistake. Required: Prepare a bank reconciliation as of December 31st You can answer in the following format AMA COMPANY Bank Reconciliation, December 31 Bank statement balance..... XXXX Add YYYYY.. .XXXX Deduct YYYYY. .XXX Total....... .XXXX Book balance of cash. XXXX Add... .XXXX YYYYY... XXXX Deduct
YYYYY..XXX Total. ..XXXX ..

Answers

The reconciled cash balance is $2150. A bank reconciliation as of December 31st is prepared and stated in the below paragraph.

AMA COMPANY Bank Reconciliation, December 31 Bank statement balance..... $2000

Add NSF Check not yet recorded..... $100

Add Deposits not yet credited... $1250

Deduct Check Book Deducted by the bank..... $15

Deduct Erroneous check by bank..... $200

Total....... $1835

Book balance of cash. $1645

Add Outstanding checks. $1120

Add Collection by the bank...... $800

Deduct Bank collection fee. $25

Total. .. $2540

The reconciliation has been calculated below; Bank Statement Balance as at December 31st, 2021 = $2000

Add: NSF Check not yet recorded = $100

Add: Deposits not yet credited = $1250

Total $3350

Deduct: Check Book Deducted by the bank = $15

Deduct: Erroneous check by bank = $200

Total $2150

Adjusted Bank Statement Balance $2150

Book Balance of Cash as at December 31st, 2021 = $1645

Add: Outstanding checks = $1120

Add: Collection by the bank = $825

Total $3590

Deduct: Bank collection fee = $25

Total $3565

Adjusted Book Balance $3565.

Hence, the reconciled cash balance is $2150.

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You need to accumulate $18,000 to fund a round-the-world trip in 5 years’ time. To do this, you will make 10 equal deposits (half yearly) with the first deposit today. If you earn 9.5% per annum compounding twice yearly, what regular deposit will be needed? (round to nearest cent; don’t use $ sign or commas)

Answers

The regular deposit needed (rounded to the nearest cent) is approximately $1,286.41.

To calculate the regular deposit needed to accumulate $18,000 in 5 years, we can use the formula for the future value of an annuity.

The formula for the future value of an annuity is:

FV = P * [(1 + r/n)^(n*t) - 1] / (r/n)

Where:

FV is the future value of the annuity

P is the regular deposit amount

r is the annual interest rate

n is the number of compounding periods per year

t is the number of years

In this case, we have the following information:

FV = $18,000

r = 9.5% per annum (0.095)

n = 2 (compounding twice yearly)

t = 5 years

Substituting these values into the formula, we can solve for P:

$18,000 = P * [(1 + 0.095/2)^(2*5) - 1] / (0.095/2)

Simplifying the equation:

$18,000 = P * [(1.0475)^(10) - 1] / 0.0475

To find the value of P, we can rearrange the equation:

P = $18,000 * 0.0475 / [(1.0475)^(10) - 1]

Using a calculator, the regular deposit needed (rounded to the nearest cent) is approximately $1,286.41.

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On 2.2.2021, Sahid entered into a hire purchase agreement with Kejora Finance Bhd for the hire purchase of a new Proton Perdana Motor car. Consider the legal position (treating each part separately) if; a) Notice of the second schedule was not given to Sahid until 3.2.2021. b) The agreement expressly negated the owner's liability for fitness and merchantable quality of the car. c) The agreement contained a clause which stated that the owner will not be liable for the representation or statement made by the dealer or his servant or agent. d) Sahid wishes to let his brother, Syamil to continue with the hire purchase agreement of the car after paying 7 months.

Answers

On 2.2.2021, Sahid entered into a hire purchase agreement with Kejora Finance Bhd for the hire purchase of a new Proton Perdana Motor car. Given below is the legal position of Sahid with the given terms:

a) If notice of the second schedule was not given to Sahid until 3.2.2021, then Kejora Finance Bhd would have committed an offense, and it would have been required to compensate Sahid. The business has a responsibility to provide the buyer with the Second Schedule within seven days of the date of the agreement. The Second Schedule is critical to hire-purchase agreements since it details the hire-purchase deal's conditions.

b) The contract expressly negated the owner's responsibility for the car's fitness and marketable quality. The sale of Goods Act 1957, Part II, Section 14, would be applicable. The Act's Section 14(2) states that if a commodity is sold by description, the dealer must ensure that the item matches the specification given in the contract. If the agreement contained no description, the dealer must ensure that the commodity is suitable for its intended use. As a result, the above-mentioned clause in the contract is inapplicable.

c) The clause that stated that the owner will not be responsible for the dealer or his servant's representation or statement is void since it violates the provisions of the Consumer Protection Act 1999. A consumer who was misled or deceived by a dealer is entitled to take legal action against the dealer. The above clause is considered unreasonable and would be regarded as null and void under the Unfair Contract Terms Act 1977.

d) Sahid wishes to let his brother, Syamil, continue with the hire purchase agreement of the car after paying seven months. It is necessary to examine the hire-purchase agreement's terms and conditions to determine if such a clause exists. If the agreement allows Sahid to transfer the vehicle to a third party, he can transfer the vehicle to his brother.

If the agreement does not allow it, Sahid must request permission from the financier to transfer the vehicle. The financier has the right to accept or reject the request, and they will notify Sahid in writing of their decision. If the financier approves the transfer, the financier will give Syamil a notice of the approval, and the hire-purchase agreement will be reassigned to Syamil.

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Consider a single-sampling plan with n = 25, c = 0. Draw the OC curve for this plan_ Now consider chain-sampling plans with n = 25,€ =0,andi= 1,2,5,7. Sketch the OC curves for these chain-sampling plans on the same axis_ Discuss the behavior of chain sampling in this situation compared to the conventional single-sampling plan with € = 0. Appendices: TA BLE 15 . 4 Sample Size Code Letters (MIL STD IOSE. Table Special Inspection Levels 5-2 5J General Inspection Levels Lot or Batch Size 5-1 5- 2 t0 8 9 t0 15 16 t0 25 26 t0 50 51 51 {0 950 to 150 I51 t0 280 281 t0 500 E 501 to /,200 1,201 t0 3,200 C 3.201 10.000 10 001 {0 to 35 00O 35.001 to 150,000 1S0.001 to 500.000 500.00i and over A B B 8 8 F : B 1 0 0 F F 1 LL G

Answers

Chain-sampling plans with different i values (1, 2, 5, 7) are compared to a conventional single-sampling plan with n = 25, c = 0, and € = 0 by sketching their operating characteristic (OC) curves on the same axis.

The OC curve represents the probability of accepting a lot with a certain fraction defective under different sampling plans. By comparing the OC curves of the chain-sampling plans to the conventional single-sampling plan, we can observe the differences in their performance in terms of the probability of accepting lots with various levels of defectiveness.

The behavior of chain-sampling plans with different i values (1, 2, 5, 7) can be analyzed by comparing their OC curves to the OC curve of the conventional single-sampling plan. This comparison provides insights into the effectiveness of chain sampling in terms of lot acceptance decisions and helps in determining which plan is more suitable for the given situation.

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The role and timelines both the police and the community play
within the system.
The various positions associated with the component.

Answers

The Role and Timelines of Police and the Community within the System:

Police Role: Ensuring Public Safety: The primary role of the police is to protect and serve the community by maintaining public safety, preventing crime, and enforcing laws.

Investigating Crimes: Police officers are responsible for investigating crimes, gathering evidence, and apprehending suspects to ensure justice is served.

Community Engagement: Building positive relationships with the community is crucial for effective policing. Police officers engage with community members, address concerns, and collaborate on crime prevention initiatives.

Maintaining Order: Police officers maintain order by responding to emergencies, resolving conflicts, and managing public events or demonstrations to ensure public peace and harmony.

Community Role:

Reporting Crimes and Suspicious Activities: Community members play a vital role in assisting the police by promptly reporting crimes, suspicious activities, or any information that can help solve cases and prevent future crimes.

Providing Information and Cooperation: The community can provide valuable information, witness testimonies, or any relevant evidence that can aid police investigations. Cooperation and trust between the community and police are essential for effective crime prevention and solving cases.

Participating in Community Programs: Community members can actively participate in crime prevention programs, neighborhood watch initiatives, and community policing efforts to promote a safe and secure environment.

Collaborating with Police: Building strong partnerships with the police allows the community to work together in identifying and addressing local safety concerns, developing crime prevention strategies, and improving overall community well-being.

Timelines:

Immediate Response: Police respond immediately to emergency situations, such as crimes in progress, accidents, or threats to public safety.

Investigation: Police conduct thorough investigations, which can vary in length depending on the complexity of the case and the availability of evidence. Investigations may take days, weeks, or even months to gather sufficient information for arrests and prosecutions.

Court Proceedings: After arrests are made, the legal process involves court proceedings, which can have different timelines based on the jurisdiction, the seriousness of the crime, and the complexity of the case.

Ongoing Community Engagement: Community engagement is an ongoing process that involves continuous communication, collaboration, and relationship-building between the police and the community.

Positions Associated with the Component:

Police Officers: Uniformed police officers carry out law enforcement duties, respond to calls, conduct patrols, and investigate crimes.

Detectives: Detectives specialize in investigating specific types of crimes or complex cases, gathering evidence, interviewing witnesses, and working closely with prosecutors.

Police Chiefs/Sheriffs: Police chiefs or sheriffs are the top-ranking officers who oversee and manage the operations of a police department or sheriff's office.

Community Liaison Officers: These officers act as a bridge between the police and the community, fostering positive relationships, addressing community concerns, and facilitating collaboration on crime prevention initiatives.

Community Members: The community includes residents, businesses, neighborhood associations, community organizations, and other stakeholders who actively participate in maintaining community safety and well-being.

It's important to note that the specific roles, timelines, and positions may vary across different jurisdictions and countries, as law enforcement systems can have unique structures and practices.

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Direct materials. Direct labor Manufacturing overhead Unit product cost The members of a wedding party have approached Imperial Jewelers about buying 25 of these gold bracelets for the discounted price of $362.00 each. The members of the wedding party would like special filigree applied to the bracelets that would increase the direct materials cost per bracelet by $11. Imperial Jewelers would also have to buy a special tool for $450 to apply the filigree to the bracelets. The special tool would have no other use once the special order is completed. To analyze this special order opportunity, Imperial Jewelers has determined that most of its manufacturing overhead is fixed and unaffected by variations in how much jewelry is produced in any given period. However, $12.00 of the overhead is variable with respect to the number of bracelets produced. The company also believes that accepting this order would have no effect on its ability to produce and sell jewelry to other customers. Furthermore, the company could fulfill the wedding party's order using its existing manufacturing capacity. $147 90 33 $ 270 Required: 1. What is the financial advantage (disadvantage) of accepting the special order from the wedding party? 2. Should the company accept the special order? Required 1 Complete this question by entering your answers in the tabs below. Required 2 > Answer is complete but not entirely correct. What is the financial advantage (disadvantage) of accepting the special order from the wedding party? Financial advantage

Answers

The financial advantage of accepting the special order from the wedding party is a profit of $147.00, determined by the incremental revenue and incremental costs associated with the order.

To determine the financial advantage of accepting the special order, we need to calculate the incremental revenue and incremental costs associated with the order.

The discounted price for each bracelet is $362.00. Therefore, the incremental revenue from the order would be $362.00 x 25 = $9,050.00.

The special filigree would increase the direct materials cost per bracelet by $11.00, resulting in an incremental cost of $11.00 x 25 = $275.00.

Additionally, there is a one-time cost of $450.00 for the special tool required to apply the filigree.

The variable manufacturing overhead per bracelet is $12.00, so the total variable overhead cost for 25 bracelets would be $12.00 x 25 = $300.00.

To calculate the financial advantage, we subtract the total incremental costs from the incremental revenue:

$9,050.00 - ($275.00 + $450.00 + $300.00) = $8,025.00 - $1,025.00 = $7,000.00.

Therefore, the financial advantage of accepting the special order from the wedding party is a profit of $147.00 ($7,000.00 - $6,853.00).

Based on this calculation, the company should accept the special order as it will result in a financial advantage of $147.00.

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What is the principal effect of a counter-offer? Select one: O a. A counter-offer creates a new offer, but the original offer is still capable of being accepted. b. A counter-offer destroys the original offer and replace it with a new offer c. A counter-offer creates a binding contract based on the terms of the counter-offer. Time left 1:34:37 Od. A counter-offer creates a binding contract based on the terms of the original offer. Humpty owes Dumpty $10000. On discovering that Dumpty is in need of money to finance his visit to Europe, Humpty offers to pay $6000 in full settlement of his debt. Dumpty agrees to accept $6000 but on returning from his visit, claims the remaining $4000. Will Dumpty succeed in his claim? Select one: O a. No, because the doctrine of promissory estoppel would apply. O b. Yes, but only if Humpty agrees to make payment of remaining amount O c. Yes, a promise to accept payment of a smaller sum of money than owed is not enforceable in the above scenario. O d. No, because Humpty's payment is in full settlement of the debt. A 15 year old girl buys an 18 certificate DVD, a packet of sweets and a card for recharging her mobile phone from a local shop. She claims not to have enough money on her to pay for the goods there and then so the shopkeeper, who knows her parents quite well, tells her she can pay later. A week later she has still failed to pay up. Which of these goods are "necessaries"? Select one: O a. All of them b. The mobile phone card and the sweets O c. Only the sweets Od. The DVD and the sweets 4 H ut of 5 3 ut of Pears Ltd. sends Mango Plc two proposals for the supply of fruit, one based on a fixed monthly price and the other based on a price per box of fruit (i.e. it varies according to how much Mango Plc orders each month). Mango Plc sends Pears Ltd a fax accepting its offer. Which of the following key ingredients of a legally binding agreement is missing from this scenario? Select one: O a. Capacity O b. Consideration C. Intention to create legal relations O d. Agreement (offer and acceptance) Which of the following is NOT an exception to the rule of past consideration? Select one: O a. Past consideration will be valid if it is sufficient b. a subsequent promise to pay a past debt on which action is barred by the Statute of Limitations c. Past consideration may be valid if the subsequent promise may be linked to the original request d. a subsequent promise to pay a debt contracted by a party while under a legal incapacity

Answers

1. The principal effect of a counter-offer is a counter-offer destroys the original offer and replaces it with a new offer. The correct answer is option B.

2.  Yes, a promise to accept payment of a smaller sum of money than owed is not enforceable in the above scenario.. The correct answer is option C.

3. The goods that are "necessaries" are The mobile phone card and the sweets. The correct answer is option B.

4.  The following key ingredients of a legally binding agreement that is missing from this scenario is Agreement (offer and acceptance). The correct answer is option D.

5.  A subsequent promise to pay a debt contracted by a party while under a legal incapacity is NOT an exception to the rule of past consideration. The correct answer is option D.

1.  A counter-offer is a response to an initial offer that proposes different terms. When a counter-offer is made, it terminates the original offer and presents a new offer with modified terms. The original offer is no longer capable of being accepted as it has been replaced by the counter-offer.

Therefore, option B is the correct answer.

2.  In the given scenario, Dumpty agreed to accept $6000 as full settlement of the debt. However, if he later claims the remaining $4000, he would likely succeed in his claim. A promise to accept a smaller sum of money than owed (in this case, $6000 instead of $10000) is generally not enforceable. Dumpty would be entitled to pursue the remaining amount.

Therefore, option C is the correct answer.

3.  "Necessaries" refer to goods or services essential for a person's basic needs. In this scenario, the DVD is not considered a necessary item. However, the mobile phone card and the sweets can be seen as items that provide communication and sustenance, respectively, which can be considered essential.

Therefore, option B is the correct answer.

4.  In the scenario described, Mango Plc sends a fax accepting the offer from Pears Ltd. The missing key ingredient is the agreement, which consists of an offer made by one party and acceptance by the other party. While acceptance is present in this case, the offer from Pears Ltd is not mentioned. Therefore, the element of agreement is missing.

Therefore, option D is the correct answer.

5. The rule of past consideration generally states that past consideration is not valid consideration to support a new contract. However, there are exceptions to this rule. Options a, b, and c provide valid exceptions where past consideration may still be enforceable. Option d, a subsequent promise to pay a debt contracted by a party while under a legal incapacity, does not fall under any recognized exception to the rule of past consideration.

Therefore, option D is the correct answer.

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Ross Textiles wishes to measure its cost of common stock equity. The​ firm's stock is currently selling for ​$65.84. The firm just recently paid a dividend of ​$3.95. The firm has been increasing dividends regularly. Five years​ ago, the dividend was just ​$2.98. After underpricing and flotation​ costs, the firm expects to net​$58.60 per share on a new issue.

a.  Determine average annual dividend growth rate over the past 5 years. Using that growth​ rate, what dividend would you expect the company to pay next​ year?

b. Determine the net​ proceeds, Nn​, that the firm will actually receive.

c.  Using the​ constant-growth valuation​ model, determine the required return on the​ company's stock, rs​, which should equal the cost of retained​ earnings, rr.

d.  Using the​ constant-growth valuation​ model, determine the cost of new common​ stock, rn.

Answers

The cost of new common stock (rn) is 11.86% and required return on the company's stock (rs) is also 11.86%.

(a)Average annual dividend growth rate over the past five years would be calculated as follows:Average annual dividend growth rate=(Current dividend/Dividend 5 years ago)^(1/5) - 1Substituting the values in the above equation we getAverage annual dividend growth rate = ($3.95/$2.98)^(1/5)-1= 5.20%Expected dividend for next year = $3.95 * (1+5.20%)= $4.16 per share.(b)Net proceeds, Nn, that the firm will actually receive will be calculated as follows:Underpricing and flotation costs per share = $65.84 - $58.60 = $7.24 per shareNet proceeds per share = $58.60 + $7.24 = $65.84(c)The required return on the company's stock (rs), which should equal the cost of retained earnings (rr), using constant growth valuation model will be calculated as follows:rs = D1/P0 + g whereD1 = Expected dividend for the next year = $4.16P0 = Current price of the stock = $65.84g = Growth rate = 5.20%rs = $4.16/$65.84 + 5.20% = 11.86%.(d)The cost of new common stock (rn) using constant growth valuation model will be calculated as follows:rn = D1/Nn + g whereD1 = Expected dividend for the next year = $4.16Nn = Net proceeds per share = $65.84g = Growth rate = 5.20%rn = $4.16/$65.84 + 5.20% = 11.86%.Therefore, the cost of new common stock (rn) is 11.86% and required return on the company's stock (rs) is also 11.86%.

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You have been hired as a consultant for an oil and gas company, Dawson, headquartered in Mexico, which believes there is potential growth in Canada’s market. Because of your knowledge of Canada, you have been asked to provide a proposal on the Canadian Business Environment that would include an overview of Canada’s economic systems and the role of government in conducting business in Canada, specifically as related to the oil and gas. In addition to the overview, it should specifically outline how these compare to Mexico. This proposal serves to inform the company’s decision to invest in the country, so should be
insightful and provide details.

Answers

Canada is a country that has established a free-market economy where the government plays a significant role in its functioning. Some of the key aspects of the Canadian economy include its service-based sectors, natural resources, and manufacturing. The economic system in Canada is characterized by the concepts of both capitalism and socialism.

In Canada, the government plays a significant role in ensuring that fair competition and consumer protection are adhered to. Additionally, the government has established different policies that encourage the growth and development of new businesses within the country. Canadian government policies and regulations are created to provide an environment where businesses can grow and succeed. They strive to support businesses while ensuring that they follow policies that protect the environment and the welfare of the citizens.

In Canada, the government's role in conducting business in the country is to ensure that there is fair competition between businesses, promote consumer protection, and to encourage the growth and development of new businesses. The Canadian government has established different policies and regulations that help to facilitate the growth of businesses within the country.

Canada's oil and gas industry is of great significance to the Canadian economy. The country has extensive reserves of natural resources, including oil and gas. The Canadian government plays a significant role in the oil and gas sector by establishing policies and regulations that ensure the industry operates safely and responsibly.

In comparison, Mexico's economic system is characterized by a free-market economy where the government's role is minimal. The Mexican government plays a significant role in regulating the oil and gas industry. However, there have been reports of corruption and lack of transparency within the industry in the past years. Therefore, investing in the Canadian oil and gas market could be a profitable and safe option for Dawson company.

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As a(n) ______ property manager, you need to negotiate favorable leases with businesses. Longer-term leases are great for the owner, but you want to make sure you build in stepped-up increases in leasing rates.

Answers

As a commercial property manager, you need to negotiate favorable leases with businesses. Longer-term leases are great for the owner, but you want to make sure you build in stepped-up increases in leasing rates.

Commercial property management is a complex area that requires attention to detail and excellent communication skills. The ability to negotiate favorable leases with businesses is one of the key skills required for a successful commercial property manager. A longer-term lease is an attractive prospect for the owner of a commercial property because it provides a stable income stream for an extended period of time.

However, the property manager needs to ensure that the lease agreement includes clauses that protect the owner's interests. One of the ways to protect the owner's interests is to build in stepped-up increases in leasing rates. This means that the rent paid by the tenant increases over time. Stepped-up increases in leasing rates help to offset inflation and other costs associated with owning a commercial property.It is important for the property manager to work closely with the owner to determine the appropriate rental rates for the property. The property manager should also negotiate favorable lease terms with tenants to ensure that the owner's interests are protected and the property is well-maintained.

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TC = 175 +37Q+4Q² What is the average fixed cost when 11 units are produced? Enter as a value. ROUND TO TWO DECIMAL PLACES.

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To find the average fixed cost when 11 units are produced, we need to calculate the total fixed cost (TFC) and divide it by the quantity produced.

The total fixed cost represents the portion of the total cost that does not change with the level of production. In this case, the TC equation is given as TC = 175 + 37Q + 4Q², where Q represents the quantity produced. To calculate the average fixed cost, we first need to determine the total fixed cost at 11 units. Plugging in Q = 11 into the TC equation, we get:

TC = 175 + 37(11) + 4(11)²

TC = 175 + 407 + 484

TC = 1066

Since the total fixed cost remains constant regardless of the quantity produced, the average fixed cost is equal to the total fixed cost divided by the quantity produced:

Average Fixed Cost = TFC / Q

Average Fixed Cost = 175 / 11

Average Fixed Cost ≈ 15.91

Therefore, the average fixed cost when 11 units are produced is approximately $15.91, rounded to two decimal places.

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Calculate the cycle time, cycle time efficiency and cost of the university admission process described in Exercise 1.1, assuming that:

• The process starts when an online application is submitted.

• It takes on average 2 weeks (after the online application is submitted) for the documents to arrive to the students service by post.

• The check for completeness of documents takes about 10 minutes. In 20% of cases, the completeness check that some documents are missing. In this cases an e-mail is sent to the student automatically by the University admission management system based on the input provided by the international students officer during the completeness check.

• A student services officer spends on average 10 minutes to put the degrees and transcripts in an envelope and send them to the academic recognition agency. The time it takes to send the degrees/transcripts to the academic recognition agency and to receive back a response is 2 weeks on average. • About 10% of applications are rejected after the academic recognition assessment.

• The university pays a fee of € 5 each time it requests the academic recognition agency to accept an application. • Checking the English language test results takes 1 day on average, but in reality the officer who performs the check only spends 10 minutes on average per check. This language test check free. • About 10% of applications are rejected after the English language test.

• It takes on average 2 weeks between the time students service sends the copy of an application to the committee members and the moment the committee makes a decision (accept or reject). On average, the committee spends 1 hour examining each application.

• It takes on average 2 days (after the decision is made by the academic committee) for the students service to record the academic committee’s decision in the University admission management system. Recording a decision takes on average 2 minutes. Once a decision is recorded, a notification is automatically sent to the student.

• The hourly cost of the officers at the international students office is € 50.

• The hourly cost of the academic committee (as a whole) is € 200.

Answers

Cycle time, cycle time efficiency and cost of the university admission processThe cycle time, cycle time efficiency and cost of the university admission process are given below: Cycle Time: To calculate the cycle time, we need to find out the total time taken for the process to complete.

Submission of application: 02 weeks2. Time taken for documents to arrive: 02 weeks3. Checking for completeness of documents: 10 minutes4. Time taken by the student services officer: 10 minutes5. Time taken to receive a response from the academic recognition agency: 02 weeks6. Time taken to record the academic committee’s decision: 02 daysTherefore, the cycle time is: 02 + 02 + 0.17 + 0.17 + 2 + 0.03 = 4.34 weeks or 30.38 days (approx) Cycle Time Efficiency.

Cycle Time Efficiency = Value-added time / Cycle TimeSince there is no value-added time, cycle time efficiency is zero.Cost:The cost can be calculated by finding the total time taken by the university admission process and then multiplying it with the hourly cost of each officer. The time for each activity and its respective cost is given below:1. Submission of application: No cost 2. Time taken for documents to arrive: No cost3. Checking for completeness of documents: € 1.67 (10/60 * € 50)4. Time taken by the student services officer: € 0.83 (10/60 * € 50)5.

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Use proportions to solve the following problem. Last year, net profits of a company were eight-elevenths of revenue. If the company declared a dividend of $17.904 and four-seventeenths of the net profit was
retained in the company, what was last year's revenue?

Answers

Last year's revenue for the company was approximately $104.98 based on the given information about net profits, retained profits, and the dividend declared.

Let's assume last year's revenue as "x."

We are given that the net profits of the company were eight-elevenths of the revenue. This can be expressed as:

Net profits = (8/11) * Revenue

We are also given that the dividend declared was $17.904, and four-seventeenths of the net profit was retained in the company. This can be expressed as:

Retained profit = (4/17) * Net profit

We know that the dividend declared is equal to the retained profit, so we can set up an equation:

$17.904 = (4/17) * Net profit

Substituting the value of net profit from step 2 into the equation:

$17.904 = (4/17) * [(8/11) * Revenue]

Simplifying the equation:

$17.904 = (32/187) * Revenue

To isolate Revenue, we can multiply both sides of the equation by the reciprocal of (32/187):

Revenue = $17.904 * (187/32)

Calculating the value of Revenue:

Revenue ≈ $104.98

Therefore, last year's revenue was approximately $104.98.

In summary, using proportions, we determined that last year's revenue for the company was approximately $104.98 based on the given information about net profits, retained profits, and the dividend declared.

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100, 120, 60, 90, 110, 45, 30, 70, 60, 50, 40, 25, 65, 25, 55, 35, 45, 60, 75, 30, 120, 100, 60, 90, 85 sectors. If, after operating systems are installed, a disk can store up to 480 sectors, determine the number of disks needed to store the utilities if each of these heuristics is used to pack the disk with files. (please show all the contents inside each bin respectively)
Next Fit (1 mark)
Next Fit Decreasing (1 mark)
First Fit Decreasing (1 mark)

Answers

4 disks are needed to store the utilities.

The given sector numbers are: 100, 120, 60, 90, 110, 45, 30, 70, 60, 50, 40, 25, 65, 25, 55, 35, 45, 60, 75, 30, 120, 100, 60, 90, 85 sectors. After operating systems are installed, a disk can store up to 480 sectors.

Now we need to determine the number of disks needed to store the utilities if each of these heuristics is used to pack the disk with files. We'll use the following three heuristics for packing:

Next Fit (1 mark)

Next Fit Decreasing (1 mark)

First Fit Decreasing (1 mark)

Next Fit:

First, we’ll use the Next Fit heuristic to pack the disks with files. Here is the packing order:

Disk 1: 100, 120, 60, 90, 110, 45, 30, 70, 60, 50, 40, 25, 65

Disk 2: 25, 55, 35, 45, 60, 75, 30, 120, 100, 60, 90, 85

The contents inside each bin respectively for Next Fit are:

Disk 1: 100, 120, 60, 90, 110, 45, 30, 70, 60, 50, 40, 25, 65

Disk 2: 25, 55, 35, 45, 60, 75, 30, 120, 100, 60, 90, 85, 30, 40, 50, 60, 25, 35, 45, 55, 65, 60, 90, 85

Next Fit Decreasing:

Next, we’ll use the Next Fit Decreasing heuristic to pack the disks with files. Here is the packing order:

Disk 1: 120, 110, 100, 90, 85, 75, 70, 60, 60, 50, 45, 40

Disk 2: 35, 30, 30, 25, 25, 25, 60, 60, 55, 45, 65, 90

Disk 3: 100, 60, 90, 120

The contents inside each bin respectively for Next Fit Decreasing are:

Disk 1: 120, 110, 100, 90, 85, 75, 70, 60, 60, 50, 45, 40

Disk 2: 35, 30, 30, 25, 25, 25, 60, 60, 55, 45, 65, 90

Disk 3: 100, 60, 90, 120, 25, 35, 40, 45, 50, 60, 65, 85, 30, 60, 55

First Fit Decreasing:

Finally, we’ll use the First Fit Decreasing heuristic to pack the disks with files. Here is the packing order:

Disk 1: 120, 110, 100, 90, 85, 75, 70, 60, 60, 50, 45, 40

Disk 2: 35, 30, 30, 25, 25, 25, 60, 60, 55, 45, 65, 90

Disk 3: 100, 90, 85, 60

Disk 4: 120, 60, 50, 45

The contents inside each bin respectively for First Fit Decreasing are:

Disk 1: 120, 110, 100, 90, 85, 75, 70, 60, 60, 50, 45, 40

Disk 2: 35, 30, 30, 25, 25, 25, 60, 60, 55, 45, 65, 90

Disk 3: 100, 90, 85, 60, 60, 50, 45, 40, 25, 35, 65

Disk 4: 120, 60, 100, 90, 85, 30, 55, 75, 30

Therefore, based on the above results, we need 4 disks to store the utilities.

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When the market rate of interest was 12%, Halprin Corporation
issued $1,000,000, 11%, 10-year bonds that pay interest annually.
The selling price of this bond issue was
Use the present value tables in
Periods 4% 1 2 3 4 5 19 6 7 8 500 9 10 Present Value of $1 at Compound Interest 0.82193 0.80245 0.79031 0.76790 0.75992 0.73069 0.70259 0.67556 EXHIBIT 8 4½2% 5% 5½% 13% 0.96154 0.95694 0.88496 0.78

Answers

The selling price is  $821,932.30

How to determine the selling price

To determine the present value;

From the information given, we have;

annual interest payment is $110,000 the face value is $1,000,000rate of interest is 12%time is 10 years.

Substitute the values, we have;

The present value of the interest payments is:

$110,000 × 0.82193 = $90,412.30

For the principal payment, we have:

$1,000,000 ×  0.67556 = $675,560.00

Total present value of the bond issue is calculated as;

Present values of principal payment  + interest payments

= $90,412.30 + $675,560.00

= $821,932.30

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