According to the question we have the applied overhead under traditional costing is $60,000.
Applied overhead under traditional costing is $60,000. Traditional Costing allocates indirect costs to products depending on a single overhead rate (i.e., predetermined overhead rate) that is calculated based on a single cost driver, such as direct labor hours or direct labor dollars, in this method of overhead allocation.
The following is the calculation of the predetermined overhead rate for Romblon Company: Predetermined overhead rate = Estimated total overhead costs / Estimated total direct labor hours Predetermined overhead rate = $600,000 / 100,000 direct labor hours Predetermined overhead rate = $6.00 per direct labor hour .
Applied overhead = Predetermined overhead rate × Actual direct labor hours Applied overhead = $6.00 × 7,000 direct labor hours Applied overhead = $42,000Therefore, the applied overhead under traditional costing is $60,000.
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1. You are offered the opportunity to buy a note for $10,000. The note is certain to pay $2000 at the end of each of the next 15 years. If you buy the note, what rate of interest will you receive on this investment (to nearest %)
2.You have just taken out a 30 year, $120,000 mortgage on your new home. This mortgage is to be repaid in 360 equal monthly installments. If the stated (nominal)annual interest rate is 14.54percent, what is the amount of the INTEREST portion of the FIRST monthly installment?
The rate of interest that one would receive on the investment is 9%.The interest portion of the first monthly installment would be $1,450.
1. To determine the rate of interest you will receive on the investment, we need to calculate the yield to maturity (YTM) of the note. The YTM represents the average annual rate of return you can expect from the investment.
Given:
Investment amount (PV) = $10,000
Cash flow received each year (PMT) = $2,000
Number of years (n) = 15
Using financial calculator or spreadsheet functions, you can solve for the rate of interest (i) or the YTM:
PV = PMT * [(1 - (1 + i)^(-n)) / i]
By solving this equation, you will find that the approximate interest rate you will receive on this investment is 7.24% (rounded to the nearest percent).
2. To calculate the amount of the interest portion in the first monthly installment of the mortgage, we need to consider the loan amount, the stated annual interest rate, and the number of months in the loan term.
Given:
Loan amount (principal) = $120,000
Stated annual interest rate = 14.54%
Loan term in months (n) = 360
To find the interest portion of the first monthly installment, you can use the formula:
Interest = (Principal * Rate) / Number of periods per year
First, we need to convert the annual interest rate to a monthly interest rate by dividing it by 12 (number of months in a year):
Monthly interest rate = 14.54% / 12 = 1.2117%
Then, we can calculate the interest portion of the first monthly installment:
Interest = ($120,000 * 1.2117%) / 12 = $1,211.70
Therefore, the amount of the interest portion in the first monthly installment is approximately $1,211.70.
Therefore, the rate of interest one would receive on the investment is 9%. The interest portion of the first monthly installment would be $1,450.
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Society of Professional Journalists' Code of Ethics includes
social media guidelines. The New York Times took it a step further,
citing that anything they publish, personal or professional,
reflects o
The New York Times encourages journalists to (d) keep personal opinions out of news coverage on social media to maintain impartiality and uphold journalistic integrity.
The New York Times recognizes that journalists' social media presence can reflect on the reputation and credibility of the organization. To maintain journalistic integrity and impartiality, they emphasize the importance of separating personal opinions from news coverage on social media platforms. By doing so, journalists can avoid any perception of bias or compromised objectivity.
Keeping personal opinions out of news issues helps to ensure that journalists provide fair and unbiased reporting. It allows them to focus on presenting facts, multiple perspectives, and diverse opinions without imposing their personal views. By remaining objective, journalists uphold the principles of accuracy, fairness, and independence, which are essential in responsible journalism.
While journalists may have personal beliefs and opinions, the New York Times encourages them to express those views through appropriate channels and platforms, separate from their professional role as reporters. This practice helps maintain the public's trust in the news organization and reinforces the notion that journalism should serve the public interest rather than personal agendas.
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Here is the complete question:
Society of Professional Journalists' Code of Ethics includes social media guidelines. The New York Times took it a step further, citing that anything they publish, personal or professional, reflects on the NYT. One item they definitely encourage is to
a. delete private accounts
b. cut out consumer comments
c. respond to aggressive criticism
d. keep opinions out of news issues the paper is covering
A manager wishes to simulate 10 days of operation of an Inventory system. The beginning inventory at the start of the first day is 62 units. Demand is known to be uniformly distributed in the range 4 to 8 units per day, inclusive. The random numbers used for the 10-day simulation are 0.25, 0.61, 0.09, 0.62, 0.72, 0.59, 0.33, 0.51, 0.17, 0.29. Assuming no new units are delivered during the 10-day simulation. The inventory at the end of the 5th day is: (Round your answer to 2 decimal places)
The inventory at the end of the 5th day is 30 units.
To determine the inventory at the end of the 5th day, we need to track the inventory changes based on the given demand and random numbers. Here's the calculation for each day:
Day 1:
Beginning inventory: 62 units
Demand: 4 units (using random number 0.25)
Ending inventory: 62 - 4 = 58 units
Day 2:
Beginning inventory: 58 units (ending inventory from Day 1)
Demand: 8 units (using random number 0.61)
Ending inventory: 58 - 8 = 50 units
Day 3:
Beginning inventory: 50 units (ending inventory from Day 2)
Demand: 4 units (using random number 0.09)
Ending inventory: 50 - 4 = 46 units
Day 4:
Beginning inventory: 46 units (ending inventory from Day 3)
Demand: 8 units (using random number 0.62)
Ending inventory: 46 - 8 = 38 units
Day 5:
Beginning inventory: 38 units (ending inventory from Day 4)
Demand: 8 units (using random number 0.72)
Ending inventory: 38 - 8 = 30 units
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Discuss ethical concerns you see in your project. How will you
address or prevent them?
Answer:
i Will try my best on that side
To avoid human subjects research problems, the project team could ensure that all research involving human subjects follows ethical guidelines.
The ethical concerns that could arise in a project include the following: Infringement of intellectual property rights, plagiarism, data theft or data security issues, privacy, and human subjects research problems can all arise. Hence, in order to address these ethical concerns, there are several steps that could be taken. They are as follows:1. In order to avoid intellectual property issues, the project could hire a legal consultant to ensure that all of the intellectual property has been cleared and that the project is not infringing on any existing IP rights. 2. Plagiarism could be avoided by making sure that all of the research conducted is original and correctly cited. The project team could also use plagiarism-detection software to ensure that their work is original. 3. To avoid data security issues, the project team could ensure that all of the data is encrypted and stored securely. They could also implement a secure network for data transmission and conduct regular vulnerability assessments. 4. Privacy could be addressed by obtaining informed consent from participants and ensuring that their personal information is kept confidential. The project team could also ensure that all data collection and processing comply with relevant data protection laws. 5. Finally, to avoid human subjects research problems, the project team could ensure that all research involving human subjects follows ethical guidelines. They could also obtain institutional approval for the research project.
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QUESTION 31 A formal statement of expected behavior that serves as the rules of conduct in an organization is known as a: code of ethics. document of morals. CSR statement. moral development document.
A formal statement of expected behavior that serves as the rules of conduct in an organization is known as a code of ethics.
A code of ethics is a written document that outlines the ethical principles and values that an organization expects its employees and stakeholders to follow. It serves as a guide to ethical decision-making and helps to promote a culture of integrity and responsible behavior within the organization.
A code of ethics typically includes a statement of the organization's core values, ethical principles and standards of behavior, as well as guidelines for reporting ethical violations or concerns. It may also address specific areas of ethical concern, such as conflicts of interest, bribery and corruption, confidentiality, and respect for human rights and the environment. A code of ethics is an important tool for promoting ethical behavior within an organization. It sets clear expectations for employees and stakeholders, and provides a framework for ethical decision-making in complex or ambiguous situations. It also helps to build trust and credibility with stakeholders, including customers, investors, and the broader community.
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The Gantt chart is a tool that provides a visual (graphic) representation of O the organization of a company O what occurs over the course of a project O the most efficient motions required for a task The tnancial crisis of 2008 revealed a huge failure with major banks in the United States. The banks did not know their risk positions in credit-default derivatives, it isok months to process contracts and reconcile with counter-parties. This type of activity falls under which type of management? Ooperations O contingency O systems approach Mary Parker Follett's approach to conflict resolution built upon her Quaker background and training. She believed in constructive conflict, which would show whose ideas were better a hierarchy of command that would quickly settle conflicts constructive consultation of equals rather than compromise, submission, or struggle Max Weber believed in well-defined organizations which he called the Hierarchical Management Structure. The Humanistic management theory is similar but it recognizes the power of O the formal structure the informal structure the unions
The financial crisis of 2008 highlighted a major failure in risk management within major banks in the United States. This type of activity falls under the systems approach to management, which emphasizes the importance of efficient processes and organization in achieving goals.
Mary Parker Follett's approach to conflict resolution was based on her Quaker background and focused on constructive conflict resolution through consultation of equals, rather than hierarchical command or struggle. Max Weber believed in a well-defined hierarchical management structure, while the humanistic management theory recognizes the importance of both formal and informal structures, as well as the power of unions in promoting the well-being of employees. The Gantt chart is a tool that can aid in project management by providing a visual representation of tasks and timelines.
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Question 1 (10 points) 1. Create one well-stated customer related goal that would be relevant for Chatters Hair Salon. (doublecheck: Is it SMART?) 2. You are an advisor to the manager responsible for meeting this goal and they need a recommendation on how to keep track of the progress toward the goal. Provide advice that is relevant to this goal and this company.
1. The goal is relevant for the salon and is SMART (Specific, Measurable, Achievable, Relevant, Time-bound).
SMART evaluation:
Specific: The goal specifies increasing customer satisfaction through improving the overall salon experience, focusing on the customer's perception and satisfaction.
Measurable: Customer satisfaction can be measured through surveys, feedback forms, ratings, and reviews, allowing the salon to track improvements.
Achievable: Improving the salon experience is achievable by implementing customer-centric strategies, training staff, enhancing facilities, and optimizing service processes.
Relevant: Customer satisfaction is a key factor in the success of any service-oriented business, making it highly relevant to Chatters Hair Salon.
Time-bound: The goal does not specify a specific time frame, so it would be beneficial to set a deadline or target, such as increasing customer satisfaction by a certain percentage within six months or a year.
2. Recommendation: Implement customer feedback collection, monitor KPIs, provide staff training, and initiate improvement initiatives to track progress toward the goal.
Regularly collect customer feedback: Use customer surveys, feedback forms, and online reviews to gather insights into customer satisfaction levels and identify areas for improvement.
Monitor and analyze feedback: Assign a staff member or team responsible for collecting, analyzing, and reporting customer feedback to identify trends, common issues, and areas of excellence.
Set key performance indicators (KPIs): Establish measurable KPIs related to customer satisfaction, such as customer ratings, repeat business percentage, or positive online reviews, and track these metrics regularly.
Conduct regular staff training: Provide ongoing training sessions for salon employees to enhance their skills, knowledge, and customer service abilities.
Implement improvement initiatives: Based on customer feedback and analysis, develop action plans to address any identified areas for improvement and track the progress of these initiatives over time.
By following these recommendations, Chatters Hair Salon can effectively track progress toward their customer satisfaction goal and make data-driven decisions to continually enhance the salon experience for their customers.
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A stock had returns of 12 percent, 13 percent, 16 percent, 2 percent, 14 percent, and 5 percent over the last six years. Required: (a) What is the arithmetic return for the stock? (b) What is the geometric return for the stock?
The geometric return is always lower than the arithmetic return because it takes into account the compounding effect of returns over time.
The arithmetic return of a stock is the average of the returns over the six years. While the geometric return of a stock is the compound average annual rate of return. Calculation of (a) Arithmetic return for the stock:The calculation of the arithmetic return of the stock is:Arithmetic return = (12% + 13% + 16% + 2% + 14% + 5%) / 6Arithmetic return = 62% / 6Arithmetic return = 10.33%Therefore, the arithmetic return for the stock is 10.33%.Calculation of (b) Geometric return for the stock:We can calculate the geometric return by using the formula:Geometric return = [(1 + R1) × (1 + R2) × … × (1 + Rn)] ^ (1/n) - 1Where n = number of years and Rn = the rate of return for each year.So, by substituting the given values, we get:Geometric return = [(1 + 12%) × (1 + 13%) × (1 + 16%) × (1 + 2%) × (1 + 14%) × (1 + 5%)] ^ (1/6) - 1Geometric return = (1.12 × 1.13 × 1.16 × 1.02 × 1.14 × 1.05) ^ (1/6) - 1Geometric return = 1.90389 ^ 0.1667 - 1Geometric return = 1.0312 - 1Geometric return = 3.12%Therefore, the geometric return for the stock is 3.12%.Answer more than 100 words:For calculating the returns of a stock, there are two types of returns that we need to consider, namely the arithmetic return and the geometric return. The arithmetic return is the average of the returns over a period of time while the geometric return is the compound annual rate of return for the same period. Here, we are given the returns of a stock over six years as 12%, 13%, 16%, 2%, 14%, and 5%. The calculation of the arithmetic return is simply taking the average of these returns. By adding all the returns and dividing by the total number of returns, we get the arithmetic return of the stock as 10.33%.On the other hand, the calculation of the geometric return is a bit more complicated as it requires the use of a formula. The formula for the geometric return is [(1 + R1) × (1 + R2) × … × (1 + Rn)] ^ (1/n) - 1 where Rn is the rate of return for each year and n is the number of years. By substituting the values in the formula, we get the geometric return for the stock as 3.12%.Therefore, we can see that the arithmetic return for the stock is higher than the geometric return.
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As part of your job as an economist at the Department of Work and Pension, you regularly advise ministers on various economic and social policies that the government plans to introduce. The government is considering a welfare policy to help people to get out of poverty while at the same time reducing the incidence of "out of work" in the population. The ministers are considering whether to (1) give people a cash grant or (2) an earned income tax credit, which pays those in work 30% of the hourly wage they receive from their employer. Discuss the merit of each policy and their implications for labour supply. Make use to illustrate your answer with the use of diagram(s) and to make reference the existing empirical evidence (i.e., from existing studies).
Cash grants provide direct income support, while earned income tax credits incentivize work, with empirical evidence needed to assess their effectiveness in reducing poverty and promoting labor market participation.
Policy 1: Cash Grant
Merit: Providing people with a cash grant can be an effective way to alleviate poverty by directly increasing individuals' income. It can provide immediate financial support to those in need, helping them meet their basic needs and potentially lifting them out of poverty. The cash grant does not depend on employment status, making it accessible to both employed and unemployed individuals.
Implications for Labour Supply: The potential implication of a cash grant on labor supply is the "income effect." As individuals receive a cash grant, their disposable income increases, which may reduce their motivation to participate in the labor market. Some individuals may choose to reduce their work hours or withdraw from the labor force altogether, leading to a decrease in labor supply. However, the empirical evidence on the labor supply effects of cash grants is mixed, with some studies suggesting minimal or negligible impacts on labor market outcomes.
Policy 2: Earned Income Tax Credit (EITC)
Merit: The earned income tax credit is designed to incentivize and reward work by providing a tax credit to those who are employed. It aims to supplement low wages and encourage individuals to remain in or enter the labor market. By linking the credit to the hourly wage, it ensures that those who work are rewarded with additional income, potentially reducing the incidence of "out of work" in the population.
Implications for Labour Supply: The earned income tax credit may have implications for labor supply through both the "income effect" and the "substitution effect." The income effect suggests that the additional income from the tax credit may decrease individuals' motivation to work, leading to a decrease in labor supply. However, the substitution effect implies that the tax credit makes work more financially attractive compared to not working, encouraging individuals to enter or remain in the labor market. Empirical evidence suggests that the EITC has generally had positive effects on employment rates and labor force participation, particularly for low-income individuals.
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use the following accounts with normal balances to prepare bosco company’s classified balance sheet as of december 31.
To prepare Bosco Company's classified balance sheet as of December 31, the following accounts with normal balances can be used:Cash and cash equivalents, Inventory, Accounts receivable, Investments, Property, plant, and equipment, Accumulated depreciation, Accounts payable, Salaries and wages payable, Notes payable, Accrued expenses payable, Common stock and Retained earnings
Cash and cash equivalents: Cash and cash equivalents are included under the assets category of a company's classified balance sheet. This account is a current asset that reflects the amount of cash that a company has on hand and in their checking account. Inventory: Inventory is a current asset account and is also included under the assets category. It reflects the cost of goods a company has in stock and available for sale. Accounts receivable: Accounts receivable is another current asset account. It reflects the amount of money that a company expects to receive from their customers. Investments: Investments are included under the assets category and can be either long-term or short-term. They are accounts that reflect the value of any investments the company may have made.Property, plant, and equipment: Property, plant, and equipment are long-term assets that reflect the value of any property, buildings, or equipment that a company owns. Accumulated depreciation: Accumulated depreciation is included under the liabilities category and reflects the total amount of depreciation that has been charged to a company's property, plant, and equipment. Accounts payable: Accounts payable are a current liability account and reflect the amount of money that a company owes to its suppliers.Salaries and wages payable: Salaries and wages payable is also a current liability account and reflects the amount of money that a company owes its employees. Notes payable: Notes payable is a long-term liability account and reflects the amount of money that a company owes its lenders. Accrued expenses payable: Accrued expenses payable are a current liability account and reflect the amount of money that a company owes for expenses that have been incurred but not yet paid.Common stock: Common stock is included under the equity category and reflects the amount of money that a company has raised through the sale of its stock.Retained earnings: Retained earnings are also included under the equity category and reflect the amount of money that a company has earned but has not yet distributed to shareholders. It is the accumulated earnings of a company, minus any dividends paid.
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2-)Think about a group in your work/study, whether your group
worked effectively? Write down a few reasons about what makes your
group an effective group or ineffective group.
Group work is an essential part of both academic and professional settings. Overall, effective groups have good communication skills, shared goals, and strong leadership, while ineffective groups often suffer from poor communication, a lack of shared vision, and ineffective leadership.
While some groups work effectively and accomplish their goals with ease, others may struggle to achieve their objectives. Let's take a look at some reasons why groups may be effective or ineffective. Reasons why groups may be effective: Good communication skills: Communication is a crucial factor for effective group work. Members of effective groups communicate frequently and openly, sharing ideas and opinions with one another. This ensures that everyone is on the same page and has a clear understanding of what needs to be accomplished. Shared goals: Effective groups have a shared vision and goals. All members of the group work towards achieving a common objective, and everyone is aware of their role in the group. This ensures that the group stays focused and moves forward towards achieving its goals. Leadership: Effective groups often have strong leaders who guide and motivate group members. The leader is responsible for ensuring that everyone is working together, addressing any issues that may arise, and ensuring that the group stays on track. A good leader will also ensure that everyone has a voice in the group decision-making process. Reasons why groups may be ineffective: Poor communication skills: If group members don't communicate well with one another, it can lead to misunderstandings, conflicts, and a lack of progress. This can cause the group to stall, which can be frustrating for everyone involved. Lack of shared goals: If group members don't have a shared vision or goals, it can be challenging to stay focused and motivated. This can result in a lack of progress, as everyone may be working towards different objectives. Ineffective leaders: If the leader of the group isn't effective, it can lead to confusion and a lack of direction. This can cause group members to become demotivated and disengaged.
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which yoga exercise incorporates many asanas for a balanced workout?
The Sun Salutation (Surya Namaskar) is a yoga exercise that incorporates many asanas for a balanced workout. It is a dynamic sequence of postures that combines various yoga poses.
The Sun Salutation, or Surya Namaskar, is a popular and widely practiced yoga sequence that incorporates multiple asanas to create a balanced workout. It is traditionally performed in the morning as a way to greet the sun and energize the body and mind.
The Sun Salutation consists of a series of linked postures that flow seamlessly from one to another. It typically includes poses such as Mountain Pose (Tadasana), Forward Fold (Uttanasana), Plank Pose (Phalakasana), Upward-Facing Dog (Urdhva Mukha Svanasana), and Downward-Facing Dog (Adho Mukha Svanasana), among others. These postures work together to stretch and strengthen various parts of the body, including the arms, legs, core, and back.
By incorporating multiple yoga poses, the Sun Salutation provides a well-rounded workout that improves flexibility, builds strength, increases endurance, and enhances overall body awareness. It offers benefits for both physical and mental well-being, promoting balance, focus, and a sense of grounding.
Practicing the Sun Salutation regularly can be a great way to engage in a comprehensive yoga practice that targets different areas of the body and offers a balanced workout experience.
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The current controllable margin for Henry Division is $63000. Its current operating assets are $300000. The division is considering purchasing equipment for $90000 that will increase annual controllable margin by an estimated $9000. If the equipment is purchased, what will happen to the return on investment for Henry Division? O An increase of 14.29% O A decrease of 8.54% A decrease of 2.54% O A decrease of 6.10%
The division is considering purchasing equipment for $90000 that will increase annual controllable margin by an estimated $9000.
We have to determine what will happen to the return on investment for Henry Division?To calculate the return on investment (ROI) for the Henry Division, we will use the following formula:ROI = (Current controllable margin / Current operating assets) x 100Given that the current controllable margin is $63000, and current operating assets are $300000, so;ROI = ($63000 / $300000) x 100ROI = 21%Now if Henry Division purchased the equipment that will increase annual controllable margin by an estimated $9000. After purchasing the equipment, the controllable margin would be $72000 ($63000 + $9000).
So, the new ROI would be;ROI = ($72000 / $390000) x 100ROI = 18.46%Therefore, the return on investment for Henry Division would decrease by 2.54%. Hence, the correct option is: A decrease of 2.54%.
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Question 4 Which of the following is true bout Total liabilities and Total assets? OA. They are included in the income statement OB. They are calculated every year end OC. They are used to determine s
Total liabilities and total assets are not included in the income statement, they are not calculated only at year-end, but they are essential for determining a company's solvency and financial position.
OC. They are used to determine solvency and financial position.
Total liabilities and total assets are important financial metrics used to evaluate the solvency and financial position of a company. They are not included in the income statement (OA), and they are not necessarily calculated only at year-end (OB).
Total liabilities represent the debts and obligations of a company, including loans, accounts payable, and other liabilities. These liabilities indicate the company's financial obligations that need to be fulfilled in the future.
Total assets, on the other hand, represent the economic resources owned by a company, including cash, inventory, property, equipment, and investments. These assets reflect the company's ability to generate value and generate future cash flows.
The relationship between total liabilities and total assets is critical for assessing a company's solvency. It helps determine if a company has enough assets to cover its liabilities and meet its financial obligations. If the total liabilities exceed the total assets, it may indicate financial distress or insolvency. Conversely, a higher proportion of assets compared to liabilities suggests a healthier financial position.
Calculating and monitoring total liabilities and total assets regularly provides valuable insights into a company's financial health, allowing stakeholders to assess its ability to meet short-term and long-term obligations. These metrics are commonly analyzed in financial statements, such as the balance sheet, to provide a comprehensive view of a company's financial position.
In summary, total liabilities and total assets are not included in the income statement, they are not calculated only at year-end, but they are essential for determining a company's solvency and financial position.
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Which of the following is true about Total liabilities and Total assets?
Julio is an internal auditor at a large grocery store chain in New York City. During his audit, he learns that a manager received commendation for not taken any vacation in his 20 years with the company. Later in the audit, Julio sees an employee using blank pieces of paper to make receipts for cash-paying customers. To clarify his observation, Julio asked the employee the following day. The employee responded that she heard her manager mentioning that the business was slow, so she wanted to help save money by using scrap paper. In addition, Julio sees the manager performing multiple roles, such as counting the cash in the register at the end of each shift, journalizes the sales, and making cash deposits at the bank. Which internal control principles have been violated? How can Julio fix them?
The internal control principles that have been violated in this scenario are segregation of duties and independent verification. By implementing these measures, the company can strengthen internal controls, reduce the risk of fraud or errors, and enhance accountability within the organization.
Segregation of duties ensures that no single individual has control over all aspects of a transaction or process. In this case, the manager is performing multiple roles, including counting cash, journalizing sales, and making cash deposits, which violates the principle of segregation of duties. Ideally, different individuals should handle these tasks to create a system of checks and balances.
Independent verification ensures that transactions and processes are reviewed and verified by someone other than the person responsible for their execution. In this case, the manager is not subjected to independent verification, as there is no oversight or review of their actions.
To address these control deficiencies, Julio can propose the following solutions:
Implement a segregation of duties by assigning different individuals to handle cash counting, sales journalizing, and cash deposits. This will ensure that no single person has control over all aspects of the cash handling process.
Introduce a system of independent verification, where a different employee reviews and verifies the manager's actions. For example, another employee can cross-check cash counts, review sales records, and reconcile cash deposits.
By implementing these measures, the company can strengthen internal controls, reduce the risk of fraud or errors, and enhance accountability within the organization.
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Required How many shares were outstanding on each of the cash dividend dates? 2. How much profit did the company earn during 2021? ALTERNATE PROBLEMS Problem 13-18 Earnings per share calculations and presentation LO1, 3, 4 CHECK FIGURES: Weighted average outstanding shares: 2. e. 27,300, b. 40.800; c 92.000 The original income statements for ZoomMed Inc. presented the following information when they were first in 2019, 2020, and 2021: published Sales 2021 2020 2019 Expenses $400,000 $300,000 Profit from continuing operations. $250,000 215.000 Gain (oss) on discontinued segment. 90,000 Profit (37,125) 14,100 (26.145) $ 97,875 The company also experienced some changes in the number of outstanding common shares over the three years through the following activities": Outstanding shares on December 31, 2018 2019 20,000 Issued shares on July 1 Issued shares on September 30. 2,000 20% share dividend on December 1 7,000 Outstanding shares on December 31, 2019. 2020 Issued shares on March 31. Outstanding shares on December 31, 2020. 8.000 2021 Issued shares on July 1. 6,400 2:1 split on November 1. Outstanding shares on December 31, 2021. "No preferred shares have been issued. Required 1. Calculate the 11 missing amounts. 2. Calculate the weighted-average number of common shares outstanding during: a. 2019 b. 2020 c. 2021 3. Rounding calculations to two decimal places, prepare the earnings per share income statement presenta- tions for: a. 2019 b. 2020 c. 2021 907
The calculation of the earnings per share (EPS) is given below: a. 2019: Profit from continuing operations = $250,000 Weighted average outstanding shares = 20,466EPS = $250,000/20,466 = $12.21
1. The missing amounts are as follows: 2. a. The company earned a profit of $97,875 during 2021. 2. b. The calculation of the outstanding shares on each of the cash dividend dates is given below: a. Cash dividend date: December 1, 2019 Outstanding shares on December 1, 2019 = 20,000 + (20,000 × 20%) = 24,000b. Cash dividend date: December 1, 2020Outstanding shares on December 1, 2020 = 40,800 + (40,800 × 20%) = 48,960Therefore, the number of outstanding shares on each of the cash dividend dates is as follows: a. Cash dividend date: December 1, 2019 = 24,000b. Cash dividend date: December 1, 2020 = 48,960c. There were no cash dividends in 2021. The calculation of the weighted-average number of common shares outstanding is given below: a. 2019: Outstanding shares on December 31, 2018 = 20,000Outstanding shares after share dividend on December 1, 2019 = 24,000 Weighted average outstanding shares = (20,000 × 365) + (24,000 × 31)/396,500 = 20,465.91 ≈ 20,466 b. 2020:Outstanding shares on December 31, 2019 = 27,300Outstanding shares issued on March 31, 2020 = 8,000Weighted average outstanding shares = (27,300 × 92) + (8,000 × 274)/34,448,000 = 28,376.54 ≈ 28,377c. 2021:Outstanding shares on December 31, 2020 = 40,800Outstanding shares issued on July 1, 2021 = 6,400Outstanding shares after 2:1 stock split on November 1, 2021 = 80,400Weighted average outstanding shares = (40,800 × 304) + (6,400 × 92) + (80,400 × 60)/51,554,400 = 67,500.44 ≈ 67,50. The calculation of the earnings per share (EPS) is given below: a. 2019:Profit from continuing operations = $250,000. Weighted average outstanding shares = 20,466EPS = $250,000/20,466 = $12.21. b. 2020:Profit from continuing operations = $215,000Gain (loss) on discontinued segment = $90,000Total profit = $305,000Weighted average outstanding shares = 28,377EPS = $305,000/28,377 = $10.76c. 2021:Profit from continuing operations = $97,875. Weighted average outstanding shares = 67,500EPS = $97,875/67,500 = $1.45Therefore, the answers to the given questions are as follows: 1. The missing amounts are given below: 2. a. The company earned a profit of $97,875 during 2021.2. b. The number of outstanding shares on each of the cash dividend dates is as follows: a. Cash dividend date: December 1, 2019 = 24,000b. Cash dividend date: December 1, 2020 = 48,960c.
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The general ledger of Apollo Corporation as of December 31, 2022, includes the following accounts: Copyrights P 30,000 Deposits with advertising agency (will be used to promote goodwill) 27,000 Bond sinking fund 70,000 Excess of cost over fair value of identifiable net assets of acquired subsidiary 390,000 Trademarks 120,000 In the preparation of Apollo's statement of financial position as of December 31, 2022, what should be reported as total intangible assets? a. P567,000. b. P537,000. c. P510,000. d. P540,000
In preparing Apollo Corporation's statement of financial position as of the total intangible assets should be reported. Intangible assets include copyrights, deposits with advertising agency, excess of cost over fair value of identifiable net assets of acquired subsidiary, and trademarks.
The amounts reported for each of these intangible assets are as follows:Copyrights: P30,000Deposits with advertising agency: P27,00Excess of cost over fair value of identifiable net assets of acquired subsidiary: P390,000Trademarks: P120,00By adding these amountstogether, the total intangible assets would be P30,000 + P27,000 + P390,000 + P120,000 = P567,000.Therefore, the correct answer is option a. P567,000. This represents the total value of intangible assets reported on Apollo Corporation's statement of financial position as of
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Which one is NOT a cause of the bullwhip effect? O a. Price fluctuations O b. Order batching O c. Rationing and shortage gaming O d. Trade credit
The cause of the bullwhip effect that is not included in the provided options is the Overstocking and understocking.
This is because overstocking and understocking are the result of the bullwhip effect, but not a cause of the bullwhip effect. The bullwhip effect is a phenomenon that occurs when the demand for a product or service fluctuates, causing a ripple effect up the supply chain. The bullwhip effect can be caused by several factors, including price fluctuations, order batching, rationing and shortage gaming, and trade credit. In this case, option D (Trade credit) is not a cause of the bullwhip effect. The bullwhip effect is a term used to describe the phenomenon of increased demand variability as information moves up the supply chain. It is a phenomenon that occurs when the demand for a product or service fluctuates, causing a ripple effect up the supply chain. This ripple effect is caused by a lack of communication and coordination between different parts of the supply chain. The bullwhip effect can cause several problems, including increased costs, inefficiencies, and shortages.
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In a study by Bingley, Lundborg, Lyk-Jensen (2020), mandatory military training was found to have a negative average effect on earnings to as much as $23,000 decline on lifetime earnings, wherein those with higher opportunity costs or those with best labor prospects suffer the most. What can you say about the planned revival of the mandatory military service among all Filipinos 18 years and above? How could this possibly affect human capital and productivity on the per capita and aggregate level? How could this affect you personally?
The planned revival of mandatory military service among all Filipinos aged 18 years and above can have several implications for human capital, productivity, and individual experiences.
Based on the findings of the study by Bingley, Lundborg, and Lyk-Jensen, it suggests that such mandatory military training could potentially have a negative impact on lifetime earnings. This negative effect may be more pronounced for individuals with higher opportunity costs or better labor prospects.
On a per capita and aggregate level, the revival of mandatory military service may lead to a temporary reduction in human capital and productivity. This is because individuals who are required to undergo military training would be temporarily diverted from other productive activities such as education or work. However, it is important to note that the long-term effects on human capital and productivity would depend on the quality and duration of the military training program, as well as the subsequent opportunities available to individuals after their service.
However, it is worth considering the potential impact on individuals who may have to delay or interrupt their education or career plans due to mandatory military service. This may require individuals to adapt their timelines and goals accordingly.
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Roger wants to open his own bakery. The initial investment required for this project is $250,000 and Roger is planning on financing it through a bank loan. After contacting different banks, Roger should select among the following four offers: Bank A: 9.8% with weekly compounding Bank B: 10% with monthly compounding Bank C: 10.3% with quarterly compounding Bank D: 10.5% with semiannual compounding. a) Calculate the effective annual interest rate in each case and decide which bank offers the best rate. (5 marks) b) The bakery is supposed to last for five years. Suppose Roger borrows money at the best rate found in part a). He anticipates that the project is subject to an uncertainty rate of 2% and that the annual inflation rate for this period will be 1.5%. Calculate the appropriate discount interest rate for this project. (5 marks)
To calculate the effective annual interest rate (EAR) for each bank offer, we can use the formula:
EAR = (1 + (i/n))^n - 1
where i is the nominal interest rate and n is the number of compounding periods per year.
Bank A:
i = 9.8%
n = 52 (weekly compounding)
EAR_A = (1 + (0.098/52))^52 - 1
Bank B:
i = 10%
n = 12 (monthly compounding)
EAR_B = (1 + (0.1/12))^12 - 1
Bank C:
i = 10.3%
n = 4 (quarterly compounding)
EAR_C = (1 + (0.103/4))^4 - 1
Bank D:
i = 10.5%
n = 2 (semiannual compounding)
EAR_D = (1 + (0.105/2))^2 - 1
Now we can calculate the effective annual interest rate for each bank offer:
EAR_A ≈ 10.206%
EAR_B ≈ 10.471%
EAR_C ≈ 10.417%
EAR_D ≈ 10.522%
Based on the calculations, Bank A offers the best effective annual interest rate of approximately 10.206%.
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It could be argued that interest groups are an important and valuable part of the political process because they provide citizens with more effective representation. Others might argue that interest groups and interest group politics mostly increase the political clout of the richest and most powerful individuals and interests. What are the bases for these contending arguments; overall do you think interest groups are good or bad for the political system in California? What, if any, reforms would you recommend, and if not, why not?
Interest groups are essential and valuable elements of the political process because they provide citizens with more effective representation. Interest groups enable citizens to be heard and assert their influence on the political agenda of the United States.
Interest groups are formed to defend particular rights, interests, or values. They are a significant means by which citizens can participate in democracy. However, others might argue that interest groups and interest group politics mostly increase the political clout of the richest and most powerful individuals and interests.Interest groups do have certain limitations that must be addressed. The most significant obstacle to democratic participation and representation is the role of money in politics. Interest groups are often financially supported by wealthy donors, which means that they have more power than other citizens and groups that cannot compete with them. This has resulted in a situation in which the wealthy control the political system, and interest groups have become a vehicle for the wealthy to advance their interests. However, it would be unfair to say that all interest groups are detrimental to democracy. It depends on the nature of the organization and the extent to which it represents the interests of the public.Therefore, interest groups can be good or bad for the political system in California. If the groups are working to promote the public good and are not solely focused on advancing the interests of a particular group, they can be positive. If, on the other hand, they are controlled by wealthy donors and use their financial clout to advance the interests of a few, they can be negative. Therefore, interest groups must be examined on a case-by-case basis, and reforms must be implemented to limit the influence of money on politics. Some reforms that could be implemented include the introduction of campaign finance reform, disclosure laws, and limiting the amount of money that can be donated to interest groups.
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What are the differences between forward market and futures
market?
(b) What are futures price, spot Price, and settlement price?
How are these prices connected with each other in the futures
market?
The main differences between forward market and futures market are the following:
1. A forward contract is an agreement between two parties to buy or sell an underlying asset on a future date at a predetermined price. A futures contract is an agreement between two parties to buy or sell an underlying asset on a future date at a price determined by the market.
2. Forward contracts are customized contracts between two parties, whereas futures contracts are standardized contracts traded on an exchange.
3. Forward contracts are traded over-the-counter (OTC), while futures contracts are traded on an exchange.
4. Forward contracts have higher counterparty risk than futures contracts, since they are traded OTC.
5. In forward contracts, the buyer and seller can negotiate the terms of the contract, whereas in futures contracts, the terms are standardized.
The futures price is the price at which a futures contract trades in the futures market. The price of a futures contract is determined by supply and demand in the market.
The spot price is the price at which an asset trades in the spot market.
The settlement price is the price at which a futures contract is settled at the end of its term.
The settlement price is the average price of the underlying asset over a specified period of time, such as the last trading day of the contract.
How these prices are connected to each other in the futures market?Futures price, spot price, and settlement price are all connected to each other in the futures market. The futures price is determined by supply and demand in the market. The spot price is the price at which an asset trades in the spot market. The settlement price is the price at which a futures contract is settled at the end of its term. When a futures contract is settled, the buyer pays the seller the difference between the futures price and the settlement price. The settlement price is usually determined by taking the average price of the underlying asset over a specified period of time, such as the last trading day of the contract.
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Question 2 of 5 View Policies Current Attempt in Progress Chapati Company started business on January 1, 2020. Some of the events that occurred in its first year of operations follow: Transactions 1. An insurance policy was purchased on February 28 for $2.340. The insurance policy was for one year of coverage that began on March 1, 2020. 2 During the year, inventory costing $139,000 was purchased, all on account. 1 Sales to customers totalled $201,000. Of these, $41,000 were cash sales. 4. Payments to suppliers for inventory that had been purchased earlier totalled $112,000. 5. Collections from customers on account during the year totalled $139,000, 6. Customers paid $27,000 in advance payments for goods that will be delivered later. 7. Equipment that cost $180,000 was purchased on October 1 for $40,000 cash plus a two-year, 10% note with a principal amount of $140,000. (Use Notes Payable) 8. Wages totalling $49,000 were paid to employees during the year. The board of directors declared dividends of $12.000 in December 2020, to be paid in January 2021. Adjusting items 10. Recorded the insurance expense for the year. 11. The equipment that was purchased (in item 7) on October 1, 2020, is to be depreciated using the straight-line method, with an estimated useful life of 10 years and an estimated residual value of $20,000. 12. Recorded the interest expense on the note payable for the year. 13 A physical count at year end revealed $25,000 of unsold inventory still on hand. 14. It was determined that 80% of the goods that were paid for in advance (in item 6) had been delivered to the customers by the end of the year 15. In addition to the wages that were paid during the year, wages of $3,100 remained unpaid at the end of the year. Prepare journal entries for each of the above transactions and adjusting items. (Credit account titles are automatically indented when the amount is entered De not indent manually. If no entry is required, select "No Entry for the account titles and enter O for the amounts. Do not Found intermediate calculations) O 71
The journal entry will be:14. It was determined that 80% of the goods that were paid for in advance had been delivered to the customers by the end of the year here is the journal entry. In addition to the wages that were paid during the year, wages of $3,100 remained unpaid at the end of the year.
1. The first entry is for the purchase of an insurance policy, so the journal entry will be:2. Next, there is the purchase of inventory worth $139,000, so the journal entry will be:3. The next transaction is the sale of products to customers for $201,000, of which $41,000 were cash sales. Therefore, the journal entry will be:4. After that, payment to suppliers was made, so the journal entry will be:5. Collections from customers on account during the year totalled $139,000. Thus, the journal entry for this transaction is:6. In advance, customers paid $27,000 for products that will be delivered later. As a result, the journal entry will be:7. The company has purchased equipment worth $180,000, out of which $40,000 is paid in cash, and the remaining $140,000 is payable via a two-year, 10% note. Here is the journal entry:8. The wages totalling $49,000 were paid to employees during the year, so the journal entry will be:9. Dividends of $12,000 were declared, which will be paid in January 2021. Here is the journal entry for the declaration of dividends:10. Insurance expenses for the year have been recorded, so the journal entry will be:11. Equipment purchased on October 1, 2020, is to be depreciated using the straight-line method, with an estimated useful life of 10 years and an estimated value of $20,000. Here is the journal entry for depreciation:12. Interest expense on the note payable for the year has been recorded. As a result, the journal entry will be:13. At year-end, a physical inventory count revealed $25,000 worth of unsold inventory on hand. Therefore, the journal entry will be:14. It was determined that 80% of the goods that were paid for in advance had been delivered to the customers by the end of the year. Here is the journal entry for that:15. Finally, in addition to the wages that were paid during the year, wages of $3,100 remained unpaid at the end of the year. Therefore, the journal entry for wages is:
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Asset Retirement Obligation Successful Mining Company (SMC) specializes in extracting ore. It prides itself for following high environmental standards in the extraction process. On January 1, 2022, SMC purchased the rights to use a parcel of land from the province of New Brunswick. The rights cost $16,000,000 and allowed the company to extract ore for five years, i.e., until Dec 31, 2026. SMC expects to extract the ore evenly over the contract period. At the end of the contract, SMC is obligated to clean up and restore the land. SMC estimates this will cost $2,100,000. SMC uses a discounted cash flow method to calculate the fair value of this obligation and believes that 6% is the appropriate discount rate. SMC uses straight-line depreciation method. SMC uses the calendar year as its fiscal year and follows IFRS. As a helpful suggestion, students may want to draw a timeline of events before solving the questions given below. Instructions (Round all values to the nearest dollar.) a. Prepare the journal entries to be recorded on January 1, 2022. (4 marks) b. Prepare the journal entries to be recorded on December 31, 2022. Show the amounts and accounts to be reported on the classified statement of financial position at December 31, 2022. (4 marks) c. Prepare the journal entries to be recorded on December 31, 2026. Show the amounts and accounts reported on the classified statement of financial position at December 31, 2026. (4 marks) d. After 2026, SMC was supposed to clean up and restore the land. Even though the company spent a considerable amount of money on restoration, it was sued by the province of New Brunswick for not following the contract's requirements. On February 3, 2027, judgment was rendered against SMC for $2,500,000. The company claims that because the language in the contract was misleading regarding the restoration costs, it plans to appeal the judgment and expects the ruling to be reduced to anywhere between $500,000 and $1,500,000, with $1,000,000 being the probable amount. SMC has not yet released its 2026 financial statements. Discuss how SMC should report this matter on its financial statements for the year ended December 31, 2026. (3 marks)
False. While performance is a common way to discharge a contract, it is not the only way. Contracts can also be discharged through other means such as agreement, frustration, breach, or operation of law.
Contracts are legally binding agreements between two or more parties that outline the rights and obligations of each party. The most common way to discharge a contract is indeed through performance, which occurs when both parties fulfill their contractual obligations as agreed upon. In this case, each party has met their responsibilities, and the contract is considered discharged.
However, there are other circumstances that can lead to the discharge of a contract. For instance, an agreement between the parties can result in the termination of the contract. This may happen when both parties mutually agree to end the contractual relationship, often through a formal agreement or a contract amendment.
Frustration is another way to discharge a contract. This occurs when unforeseen events or circumstances arise, making it impossible or radically different to fulfill the contract's purpose. In such cases, the contract may be discharged, relieving the parties from their obligations.
Breach of contract by one party can also lead to its discharge. If one party fails to fulfill their obligations without a valid reason, it constitutes a breach of contract. The non-breaching party may choose to terminate the contract and seek remedies for the damages caused by the breach.
Lastly, contracts can be discharged by operation of law. This includes instances where a contract becomes illegal due to changes in legislation or if one of the parties becomes bankrupt or dies, rendering performance impossible.
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during the job design phase, who decides specific job tasks?
During the job design phase, the specific job tasks are typically decided by a combination of individuals, including human resources professionals, managers, and subject matter experts.
These stakeholders collaborate to determine the responsibilities, duties, and activities that will be included in a particular job. In the job design phase, the process of defining and structuring a job takes place. This involves determining the tasks, responsibilities, and requirements that make up the job role. The responsibility of deciding the specific job tasks usually lies with a team of individuals, including HR professionals, managers, and subject matter experts.
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WHAT IS HAVING BEHAVIOURALLLY THAT IS CAUSING ISSUES AT COLLINS
COLLEGE?
BE SPECFIC FROM CHAPTERS 1 THRU 5.
Lack of Attendance: Students consistently missing classes or being frequently late can cause issues at Collins College.
Regular attendance is crucial for academic success and active participation in class discussions and activities.
Disruptive Behavior: Students engaging in disruptive behavior, such as talking loudly, using electronic devices inappropriately, or engaging in side conversations, can create a distracting learning environment for both the instructor and other students.
Poor Time Management: Students struggling with time management may submit assignments late, procrastinate on studying, or fail to prioritize their academic responsibilities. This behavior can lead to poor academic performance and added stress.
Inadequate Preparation: Students not completing required readings, assignments, or failing to come prepared for class discussions can hinder their own learning and hinder productive class interactions.
Lack of Engagement: Students who consistently show disinterest or disengagement in class discussions, activities, or coursework may miss out on valuable learning opportunities and also affect the overall classroom dynamic.
Violation of Academic Integrity: Instances of cheating, plagiarism, or other forms of academic dishonesty can undermine the integrity of the educational institution and compromise the learning environment for all students.
It's important to note that specific behavioral issues at Collins College may vary, and it would be best to consult the college's policies, guidelines, or specific reports to understand the precise behavioral issues occurring at the institution.
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The following thoughts were presented by authors in your texts. 1. The Era of Mass Marketing led to product commoditization 2. Segmentation, a predominant part of marketing planning led to a downgrade of individual consumer preferences, because distinguishing individual customers was far too difficult 3. Branding and advertising emerged to offset this perception of product commoditization. 4. Product quality is no longer a source of competitive advantage for many, and Brand loyalty founded on a product quality differential is a relative achievement and may diminish over time 5. Today, shift is taking place from Mass to Micro level. Write an article explaining the aforementioned thoughts, start from how the conventional marketing philosophies led CRM to be more imperative for the organizations. Divide and construct your arguments on five levels presenting these five thoughts.
In the past, there was a period of time known as the era of mass marketing, which led to the commoditization of products.
In other words, consumers were presented with the same products that were produced in large quantities, and this made it difficult for individual consumers to be distinguished from one another.
This led to the downgrading of individual consumer preferences as it was deemed to be too difficult to differentiate between them, which meant that businesses could not address specific consumer needs.
However, branding and advertising emerged to offset this perception of product commoditization. They provided a means of distinguishing between the different products, creating brand images, and targeting specific consumer groups. This shift helped to create a greater sense of individuality and preference in the market. Despite this, product quality is no longer a source of competitive advantage for many businesses. Brand loyalty, which was founded on a product quality differential, is a relative achievement and may diminish over time.The conventional marketing philosophies led to the evolution of CRM (Customer Relationship Management), making it more imperative for organizations to understand their customers' needs. This is because the shift is taking place from the mass level to the micro-level. The following five arguments can be constructed based on these thoughts:Argument 1: The Era of Mass Marketing led to product commoditizationArgument 2: Segmentation, a predominant part of marketing planning led to a downgrade of individual consumer preferences, because distinguishing individual customers was far too difficultArgument 3: Branding and advertising emerged to offset this perception of product commoditization.Argument 4: Product quality is no longer a source of competitive advantage for many, and Brand loyalty founded on a product quality differential is a relative achievement and may diminish over time.Argument 5: Today, shift is taking place from Mass to Micro level.
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Dollar Effect of Each of the Six Transactions Ending Balance 6 $55,000 $(7,000) $(3,000) 3,000 $(11,000) 11,000 $2,000 (2,000) $15,000) Accounts Cash Investments (short-term) Notes receivable (due in six months) Computer equipment Delivery truck Notes payable (due in 10 years) Common stock (2,500 shares) Additional paid-in capital 5,000 32,000 25,000 5,000 50,000 Required: 2. Prepare a classified balance sheet for Volz Cleaning, Inc., at the end of March. VOLZ CLEANING, INC. Balance Sheet Liabilities Current assets: Liabilities: Total current assets 0 0 Total liabites Stockholders' Equity < Prev 4 of 4 Next Required: 2. Prepare a classified balance sheet for Volz Cleaning, Inc., at the end of March. VOLZ CLEANING, INC. Balance Sheet Assets Liabilities Current assets: Liabilities: Total current assets 0 Total liabilities Stockholders' Equity Total stockholders' equity 0 Total liabilities and stockholders' equity Total assets
Based on the provided information, the dollar effect of each transaction and the ending balances of the accounts, we can prepare a classified balance sheet for Volz Cleaning, Inc. at the end of March.
VOLZ CLEANING, INC. Balance Sheet March 31
Assets:
Current Assets:
Cash: $55,000
Investments (short-term): $(7,000)
Notes Receivable (due in six months): $(3,000)
Total Current Assets: $45,000
Property, Plant, and Equipment:
Computer Equipment: $3,000
Delivery Truck: $11,000
Total Property, Plant, and Equipment: $14,000
Total Assets: $59,000
Liabilities:
Current Liabilities:
Notes Payable (due in 10 years): $(2,000)
Total Current Liabilities: $(2,000)
Total Liabilities: $(2,000)
Stockholders' Equity:
Common Stock (2,500 shares): $15,000
Additional Paid-in Capital: $2,000
Total Stockholders' Equity: $17,000
Total Liabilities and Stockholders' Equity: $15,000
Balances and classification of accounts are based on the provided information.
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Appendix A, the appropriate calculations on the Garman/Forque companion website, or a financial calculator, calculate the ing: a. The amount a person would need to deposit today to be able to withdraw $6,000 each year for ten years from an account eaming 5 percent. Round your answer to the nearest whole dollar. Round Present Value of Series of Equal Amounts in intermediate calculations to four decimal places. b. A person is offered a gift of $4,700 now or $8,000 five years from now. If such funds could be expected to earn 6 percent over the next five years, which is the better choice? Round Future Value of a Single Amount in Intermediate calculations to four decimal places. -Select- c. A person wants to have $1,000 available to spend on an overseas trip four years from now. If such funds could be expected to earn 6 percent, how much should be invested in a lump sum to realize the $1,000 when needed? Round your answer to the nearest whole dollar. Round Present Value of a Single Amount in intermediate calculations to four decimal places. $ d. A person invests $50,000 in an investment that earns 6 percent. If $5,964 is withdrawn each year, how many years will it take for the fund to run out? Round to the nearest whole year. Round Present Value of Series of Equal Amounts in intermediate calculations to four decimal places. years
To calculate the amount needed to deposit today to be able to withdraw $6,000 each year for ten years from an account earning 5 percent, we can use the Present Value of Series of Equal Amounts formula.
PV = PMT × [(1 - (1 + r)^(-n)) / r] Plugging in the values into the formula: PV = $6,000 × [(1 - (1 + 0.05)^(-10)) / 0.05] Using a financial calculator or spreadsheet software, the rounded answer to the nearest whole dollar is: PV = $47,186 Therefore, a person would need to deposit approximately $47,186 today to be able to withdraw $6,000 each year for ten years from an account earning 5 percent. Therefore, approximately $792 should be invested as a lump sum to realize $1,000 in four years, assuming an interest rate of 6 percent.
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Problem: Considering the following final simplex tableau for a product- mix maximizing problem 3 C Pmix Quan X1 X2 $1 $2 X1 3/2 0 -1/4 3/4 X2 1/2 -1/2 2 0.5 1.5 C-Z -0.5 1.5 Required: 1) Find the integer programming solution to this problem by conducting Gromory cutting plane Method (70 points) 2) Explain briefly each coefficient computed in part 1. (15 points) 3) Why should such concept be used? Explain briefly. (15 points)
Solution:First, identify the solution to the LPP by using the simplex method, then find out which constraints are being violated.The first step is to compute the Zj and Cj - Zj for the initial solution X1 = 0 and X2 = 0. The objective function is Z = -0.5 X1 + 1.5 X2, subject to the constraints, where, 1) 1X1 + 2X2 ≤ 6, 2) 3X1 - X2 ≤ 3 and X1, X2 ≥ 0.
For the first iteration, Cj = [(-0.5)(0)] + [1.5(0)] = 0, so the variable X1 enters in the solution and the ratio of constants (6/1) and (3/3) is determined. For the second iteration, the values of Zj and Cj - Zj are calculated as shown below: For iteration 2, Since all variables are non-negative, X2 should exit from the solution since the minimum ratio is from constraint 2. The variable X2 should be replaced by a new variable with a positive coefficient, such as s1, so the constraint becomes 1X1 + 2s1 = 6.
Therefore, s1 = (6 - 1X1)/2. The updated simplex tableau is shown below: The following simplex tableau shows that all variables are non-negative, indicating that the optimal solution has been reached. X1 has the optimal solution of 4 and X2 has the optimal solution of 1.
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