Both questions please When a business such as CarMax sells a used car to an individual for $9,000 then no part of this transaction counts in GDP because the car is used oTrre OFalse Question 25 4 pts A landscaper performs yard work for people and earns a total of $40.000 during a given year. Regarding the following statements,which is correct O The $40,000 counts towards GDP because this is income earned by the landscaper. The $40.000 does not count if the landscaper is paid in cash The $40.000 counts if the landscaper declares it as income on his taxes

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Answer 1

1. False: When CarMax sells a used car to an individual, it is considered a final sale transaction, and it does count in GDP.

2. The correct statement is: The $40,000 counts towards GDP because this is income earned by the landscaper.

Gross Domestic Product (GDP) is a measure of the total value of all goods and services produced within a country's borders in a given time period, typically a year. It is used as an indicator of the economic health and size of a nation's economy. GDP includes consumer spending, government expenditures, investments, and net exports (exports minus imports). It provides insight into economic growth, productivity, and the standard of living within a country. GDP is often used to compare the economic performance of different countries or track changes in an economy over time.

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Related Questions

1. Answer the following questions and explain your work. 2. Do not attach any other pages. 3. Download, write your answers on this same Question sheet; next, to each question. 4. Don't write your name 5. Upload in the same drop box for the purpose of making comments 6. Don't change the questions or use different values? Question 1. In competitive markets, there are many small firms with each firm unable to influence the market price. Suppose company XYZ operates in the wheat market. The company produces and markets wheats at a Price =$40 per container. The firm's total costs are given as: TC=100+4Q+3Q 2
a) Find the Firm's marginal cost? Show your steps, including graphs. Review additional resources? Hint: See the rules for differentiation b) What is the firm's demand curve? Show it on a graph and label the axes showing P and Q c) What level of output should the firm produce? Hint: Set P=MC and solve for Q. Use a graph to show your answers as well

Answers

The firm's marginal cost is MC = 4 + 6Q.

What is the firm's marginal cost?

The firm's demand curve represents the relationship between the price of the wheat (P) and the quantity of wheat demanded (Q).

Since the company operates in a competitive market, it faces a horizontal demand curve at the market price of $40 per container.

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Assume that the corporate tax rate is 26%, personal tax rate is 28% and that dividends paid by corporations are taxed at 15% for the shareholders.
The founders of a newly formed business are debating between setting-up the firm as a partnership versus a corporation. The firm will not need to retain any earnings, so all of its after-tax income will be paid out to its investors, who will have to pay personal taxes on whatever they receive.
Assume the business is forecast to earn $300,000 on a pre-tax basis (all cash) and that it will distribute 100% of after-tax cash flows to the owners of the business.
If the firm is organized as a C-Corp, how much cash will the owners retain on an after-tax basis (account for all taxes)? Shareholders only pay the dividend tax rate on the distribution. Account for double taxation.
Selected Answer: 135864

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In order to find out how much cash will the owners retain on an after-tax basis if the firm is organized as a C-Corp, we must use the following steps:Step 1: Find out the amount of pre-tax income earned by the company, which is $300,000.

Step 2: Calculate the corporate tax rate by multiplying the pre-tax income by the corporate tax rate. Therefore, the amount of corporate tax payable is 26% of $300,000, which is $78,000.Step 3: Deduct the corporate tax payable from the pre-tax income to find the after-tax income, which is $222,000 ($300,000 - $78,000).Step 4: Calculate the amount of dividend paid to shareholders by multiplying the after-tax income by the dividend tax rate of 15%. Therefore, the amount of dividend is $33,300 ($222,000 x 15%).Step 5: Deduct the amount of dividend paid to shareholders from the after-tax income to find the amount of cash retained by the owners. Therefore, the amount of cash retained by the owners is $188,700 ($222,000 - $33,300).Step 6: Calculate the personal tax payable by multiplying the amount of cash retained by the personal tax rate. Therefore, the amount of personal tax payable is 28% of $188,700, which is $52,836.Step 7: Deduct the personal tax payable from the amount of cash retained by the owners to find the final amount of cash retained by the owners. Therefore, the final amount of cash retained by the owners is $135,864 ($188,700 - $52,836). Hence, the selected answer 135864 is correct.

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QUESTION 1 Which of the following statements about cost of capital is not correct? A firm's cost of capital indicates how the market views the risk of the firm's assets. A firm must earn at least the required return to compensate investors for the financing they have provided. The required return is the same as the appropriate discount rate. The cost to a firm for issuing bonds is equal to the return to the bondholders if we consider the flotation costs of issuing the bonds.

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The cost to a firm for issuing bonds is higher than just the return to the bondholders.

The statement that is not correct about cost of capital is: "The cost to a firm for issuing bonds is equal to the return to the bondholders if we consider the flotation costs of issuing the bonds."

This statement is incorrect because the cost to a firm for issuing bonds includes not only the return to the bondholders but also the flotation costs associated with issuing the bonds.

Flotation costs include fees and expenses incurred by the firm when issuing bonds, such as underwriting fees and legal expenses.

Therefore, the cost to a firm for issuing bonds is higher than just the return to the bondholders.

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The statement that is not correct about the cost of capital is: "The cost to a firm for issuing bonds is equal to the return to the bondholders if we consider the flotation costs of issuing the bonds." The required return is the same as the appropriate discount rate is correct. Thus option C is correct.

The cost of capital refers to the cost a firm incurs to finance its operations and investments. It is the return required by investors to compensate for the risk associated with investing in the firm. Here's a step-by-step breakdown:

1. A firm's cost of capital reflects how the market perceives the risk of the firm's assets. It is an indication of the expected return that investors demand for investing in the firm.

2. A firm must earn at least the required return to compensate investors for the financing they have provided. This required return is also known as the appropriate discount rate. It represents the minimum rate of return that the firm needs to generate to satisfy its investors.

3. The statement that is not correct is about the cost of issuing bonds. When a firm issues bonds, it incurs certain costs, such as underwriting and legal fees, known as flotation costs. These costs are not equal to the return to bondholders. The return to bondholders is determined by the coupon rate and the principal amount they receive at maturity.

In summary, the cost of issuing bonds includes additional costs beyond the return received by bondholders. These costs should be considered when evaluating the overall cost of capital for a firm.

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please answer my questions
2. Discuss the contribution of securitisation to the global financial crisis of ( 2007 / 8 ).

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Securitization contributed to the global financial crisis of 2007/8 by enabling the bundling of risky mortgages into complex financial products, which were then sold to investors.

These products had hidden risks and were overrated, leading to widespread financial bility and market collapse.

Securitization is the process of pooling and repackaging financial assets, such as mortgages, into securities that can be sold to investors. It was widely used in the lead-up to the global financial crisis of 2007/8. Here's a more detailed explanation of how securitization contributed to the crisis:

1. Mortgage-backed securities (MBS): Banks and financial institutions bundled large numbers of mortgages together and created MBS, which were then sold to investors. The idea was that the risk of individual mortgages would be spread out among many investors, making them less vulnerable to default. However, the underlying mortgages were often subprime or risky loans.

2. Collateralized Debt Obligations (CDOs): Investment banks further repackaged MBS into complex products called CDOs. These CDOs were divided into different tranches, each with a varying level of risk and return. The highest-rated tranches were considered safe investment , even though they contained underlying risky mortgages.

3. Misleading credit ratings: Credit rating agencies assigned high ratings to many of these complex financial products, primarily based on historical data that didn't account for the possibility of widespread defaults. These inflated ratings created a false sense of security among investors.

4. Lack of transparency: The complexity of these financial products made it difficult for investors and regulators to assess their underlying risks accurately. The true quality of the underlying mortgages and the potential for widespread defaults were not adequately understood.

5. Systemic risk: The widespread sale and trading of these complex securities created a web of interconnectedness among financial institutions globally. When the subprime mortgage market began to collapse, it triggered a chain reaction of defaults and losses across the financial system, leading to a full-blown global financial crisis.

In summary, securitization played a significant role in the 2007/8 global financial crisis by masking the risks associated with subprime mortgages, inflating credit ratings, and creating systemic vulnerabilities within the financial system. The resulting collapse of these complex financial products had far-reaching consequences, exposing the fragility of the global financial system.

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All Bonds Are Semi-Annual. All Yield Measures Are Stated As Annual Percentage Rates. 1. Suppose You Buy A 2 Year 5% Bond That Has A Yield To Maturity (YTM) Of 6%. What Is The Price Of The Bond? 2. Suppose You Buy A 3 Year 6% Bond That Has A YTM Of 5%. What Is The Price Of The Bond? 3. Suppose You Buy A 10 Year 9% Bond That Has A YTM Of 11%. What Is The Price
student submitted image, transcription available below

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The underwriting process for surety bonding involves assessing the principal's creditworthiness and ability to fulfill contractual obligations, while fire insurance focuses on evaluating property risks and determining appropriate coverage levels.

Surety bonding underwriting involves evaluating the principal's financial stability, credit history, and industry experience to determine the likelihood of fulfilling contractual obligations. This process helps protect the obligee (the party receiving the bond) from potential financial losses. On the other hand, fire insurance underwriting focuses on assessing property risks, such as the building's condition, fire protection measures, and location. The underwriter calculates the appropriate coverage amount based on the property's value and potential risks. The primary goal of fire insurance underwriting is to ensure that the policy adequately covers potential fire-related damages or losses. While both surety bonding and fire insurance involve the underwriting process, they differ in their focus.

Surety bonding assesses the principal's creditworthiness and ability to fulfill contracts, while fire insurance evaluates property risks to determine appropriate coverage levels.

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Explain how an understanding in financial planning would be important knowledge for a manager. Consider different types of managers (sales managers, production managers, general managers, etc), not only financial managers.

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An understanding of financial planning is important knowledge for all types of managers, including sales managers, production managers, general managers, and others.

Financial planning involves the process of setting goals, creating a budget, and making strategic decisions to allocate resources effectively. Regardless of their specific role, managers need to make informed decisions that consider the financial implications and align with the organization's financial objectives.

By understanding financial planning principles, managers can better evaluate the financial feasibility of their plans, assess the financial health of their departments, and contribute to the overall financial success of the organization.

Sales managers, for example, need to understand financial planning to set realistic sales targets, analyze sales trends, and assess the profitability of different sales initiatives. Production managers need to consider financial planning to optimize production costs, budget for materials and labor, and identify opportunities for cost savings. General managers need a comprehensive understanding of financial planning to oversee the financial performance of the entire organization, make investment decisions, and allocate resources efficiently.

Having knowledge of financial planning allows managers to make data-driven decisions, understand the financial impact of their actions, and communicate effectively with financial stakeholders such as CFOs, investors, and board members. It enables managers to align their operational goals with the financial objectives of the organization, ensuring long-term sustainability and growth.

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Suppose the demand curve for a product is given by Q=17-2P+3Ps where P is the price of the product and Ps is the price of a substitute good. The price of the substitute good is $2.80. Suppose P = $0.50. The price elasticity of demand is 0.05. (Enter your response rounded to two decimal places.) The cross-price elasticity of demand is 0.34. (Enter your response rounded to two decimal places.) Suppose the price of the good, P, goes to $1.00. Now the price elasticity of demand is -0.09. (Enter your response rounded to two decimal places.) The cross-price elasticity of demand is 0.36. (Enter your response rounded to two decimal places.)

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The demand equation is given by Q=17-2P+3Ps where P is the price of the product and Ps is the price of a substitute good. The price of the substitute good is $2.80. The given value of P is $0.50.The price elasticity of demand can be calculated using the formula:

Price elasticity of demand = (% change in quantity demanded) / (% change in price)We can calculate the percentage change in quantity demanded as:(Q2 - Q1) / Q1 * 100Where, Q1 is the initial quantity demanded at price P1, and Q2 is the quantity demanded at price P2.Now, let's calculate the quantity demanded corresponding to P1= $0.50.Q = 17 - 2P + 3PsQ = 17 - 2(0.5) + 3(2.8)Q = 19.4Now, let's calculate the quantity demanded corresponding to P2 = $1.00Q = 17 - 2P + 3PsQ = 17 - 2(1) + 3(2.8)Q = 16.4The percentage change in quantity demanded is:

(Q2 - Q1) / Q1 * 100= (16.4 - 19.4) / 19.4 * 100= -13.4%We are given that the price elasticity of demand is 0.05.Price elasticity of demand = (% change in quantity demanded) / (% change in price)0.05 = (-13.4%) / (% change in price)% change in price = (-13.4%) / 0.05= -268%We can calculate the cross-price elasticity of demand using the formula:Cross-price elasticity of demand = (% change in quantity demanded of good 1) / (% change in price of good 2)

The given cross-price elasticity of demand is 0.34.0.34 = (% change in quantity demanded of good 1) / (% change in price of good 2)The given price of the substitute good is $2.80. The percentage change in the price of the substitute good is:(% change in price of substitute good) = (change in price of substitute good) / (initial price of substitute good) * 100= ($1.00 - $2.80) / $2.80 * 100= -64.29%

Now, we can calculate the percentage change in quantity demanded of good 1:(% change in quantity demanded of good 1) = Cross-price elasticity of demand * (% change in price of substitute good)= 0.34 * (-64.29%)= -21.86%Now, we are given that the price of the good, P, goes to $1.00. The price elasticity of demand is -0.09.

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businessfinancefinance questions and answerscalculate the annual net premium and the monthly premium ! endowment insurance for a period of 35 years is issued to a person aged 25 years with the following condition : 1. annual premium payment for 10 years 2. if he dies within the insurance period, the compensation is 100,000,000,- 3.if he lives to a period of 35 years then every beginning of the
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Question: Calculate The Annual Net Premium And The Monthly Premium ! Endowment Insurance For A Period Of 35 Years Is Issued To A Person Aged 25 Years With The Following Condition : 1. Annual Premium Payment For 10 Years 2. If He Dies Within The Insurance Period, The Compensation Is 100,000,000,- 3.If He Lives To A Period Of 35 Years Then Every Beginning Of The
Calculate the annual net premium and the monthly premium !
Endowment Insurance for a period of 35 years is issued to a person aged 25 years with the following condition :
1. Annual premium payment for 10 years
2. If he dies within the insurance period, the compensation is 100,000,000,-
3.If he lives to a period of 35 years then every beginning of the beginning of the year gets payment of 2.500.000,- in the first year, 2.000.000,- in the second year,
1,500,000,- in the third year, 1,000,000,- from the 4th year onwards.
PLEASE EXPLAIN STEP BY STEP !!
COPY PASTING FROM ANOTHER ANSWER WILL BE REPORTED AND DOWNVOTED

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The payment amounts are as follows: 2,500,000 in the first year, 2,000,000 in the second year, 1,500,000 in the third year, and 1,000,000 from the fourth year onwards.

To calculate the annual net premium and the monthly premium for the endowment insurance, we need to consider the premium payment period, the compensation in case of death, and the annual payments if the person lives to the end of the insurance period.

The annual net premium can be determined by dividing the total premium payment over the premium payment period. In this case, since the annual premium payment is made for 10 years, the annual net premium is the total premium payment divided by 10.

The monthly premium can be calculated by dividing the annual net premium by 12, as there are 12 months in a year.

For the compensation in case of death, the amount is fixed at 100,000,000.

If the insured person lives to the end of the 35-year insurance period, they will receive annual payments starting from the beginning of the first year.

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A nurse notices that Dr. Icamause spends more time with his light-skinned hispanic patients than his darker skinned hispanic patients. When the nurse inquired, the doctor explained that he does this only when he finds discolored mole(s) on the patient's chest. Several studies show that light-skinned hispanics are more prone to skin cancer appearing on this part of the body. It turns out that other dermatologists do the same and they have saved the lives of several light-skinned hispanics this way. Dr. Icamause is engaged in: Otaste discrimination O efficient statistical discrimination O inefficient statistical discrimination O none of the choices

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The correct answer is: o efficient statistical discrimination. based on the given information, dr. icamause's behavior can be classified as efficient statistical discrimination.

efficient statistical discrimination occurs when individuals or groups are treated differently based on observable characteristics that are statistically associated with certain outcomes. in this case, dr. icamause is spending more time with light-skinned hispanic patients when he finds discolored mole(s) on their chest. this behavior is based on the statistically higher risk of skin cancer appearing in that specific area for light-skinned hispanics.

the doctor's actions can be considered efficient because they are based on relevant and statistically significant information that has been observed in studies. by allocating more time to light-skinned hispanic patients with discolored moles on their chest, dr. icamause is potentially saving lives by detecting and treating skin cancer in its early stages.

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Directions on how and when to use a product and information about the source and composition of a product that appear on packaging labels provide ________ benefits.

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Directions on how and when to use a product and information about the source and composition of a product that appear on packaging labels provide communication benefits.

These benefits allow producers to communicate important information about their products to consumers. For instance, directions on how to use a product safely and effectively help consumers avoid potential harm or misuse of the product. Information about the source and composition of a product helps consumers understand its quality, origin, and potential environmental impact. By providing this information, packaging labels also help producers differentiate their products from competitors and build trust with consumers by being transparent about their products.

Furthermore, packaging labels help producers comply with regulatory requirements and standards, such as ingredient lists, allergen warnings, and nutritional information. This ensures that consumers are informed about the products they purchase and use, which contributes to greater transparency and accountability in the marketplace.

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Financial plan and Financial Management for a
new start up vegetable business in Bahrain country,
city Manama

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Financial Management is the process of managing all financial activities of an organization, including budgeting, forecasting, and financial reporting. A financial plan is a comprehensive evaluation of an organization's current and future financial state, taking into account various variables and assumptions.

Therefore, Financial Management and Financial Plan for a new start-up vegetable business in Bahrain city, Manama are as follows:

Financial Management for a new start-up vegetable business in Bahrain city, Manama

Financial management will be critical in ensuring the survival and growth of the start-up vegetable business in Bahrain city, Manama.

The following are some of the financial management practices that the business should implement:

Establish financial goals and objectives: The start-up vegetable business should identify its financial goals and objectives, such as revenue, profit margin, and cash flow. These goals should be specific, measurable, and attainable, and they should align with the overall business objectives.

Develop a budget: A budget is an essential tool for financial management. The start-up vegetable business should develop a budget that outlines all the anticipated revenue and expenses over a specific period.

Monitor financial performance: The start-up vegetable business should regularly monitor its financial performance against its budget and financial goals. This monitoring will help to identify any variances, and corrective action can be taken accordingly.

Manage cash flow: Cash flow management is crucial for any start-up business. The start-up vegetable business should manage its cash flow effectively to ensure that there is enough cash to meet its obligations, such as paying salaries and suppliers.

Financial Plan for a new start-up vegetable business in Bahrain city, Manama
The following are some of the components of a financial plan for a new start-up vegetable business in Bahrain city, Manama:

Projected Income Statement: This statement is an estimate of the revenue, expenses, and profit or loss for a specific period.

Cash Flow Statement: This statement is an estimate of the inflows and outflows of cash for a specific period.

Balance Sheet: This statement shows the financial position of the business, including assets, liabilities, and equity.

Break-Even Analysis: This analysis shows the level of sales required to cover all expenses and make a profit.

Financial Ratios: These ratios provide insight into the financial performance of the business, such as liquidity, profitability, and efficiency.


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A company just paid $10 million for a feasibility study. If the company goes ahead with the project, it must immediately spend another $94,214,155 now, and then spend $20 million in one year. In two years it will receive $80 million, and in three years it will receive $90 million. If the cost of capital for the project is 11 percent, what is the project’s NPV?

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The project's NPV is $20,839,602.40. Given that A company just paid $10 million for a feasibility study. If the company goes ahead with the project, it must immediately spend another $94,214,155 now, and then spend $20 million in one year. In two years, it will receive $80 million, and in three years it will receive $90 million. The cost of capital for the project is 11 percent.

The formula for NPV is: NPV = -Initial Investment + (Cash flow / (1 + r)^t)

Where, r = Discount rate of the project

t = time elapsed when the cash flow is recorded

Let's calculate the net present value (NPV) of the project.

Initial Investment = 10,000,000 + 94,214,155 + 20,000,000

= $124,214,155

Cash flow in Year 0 = -$124,214,155

Cash flow in Year 1 = $80,000,000

Cash flow in Year 2 = $90,000,000

Cash flow in Year 3 = $0

Now, calculate NPV using the above formula: NPV = -124,214,155 + (80,000,000 / (1 + 0.11)^1) + (90,000,000 / (1 + 0.11)^2)

NPV = -124,214,155 + (80,000,000 / 1.11) + (90,000,000 / 1.2321)

NPV = -124,214,155 + 72,072,072.07 + 72,981,685.33

= $20,839,602.40

Hence, the project's NPV is $20,839,602.40.

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Problem 1 (12marks) Sally Sims just turned 20 and received a gift of $50,000 from her rich aunt. Sally would like to retire on her 55 th birthday and thinks she'll need to have about $2,000,000 saved by that time to maintain her lavish lifestyle. She plans to make a deposit at the end of each month until she is 50 into an account that she'll open with her aunt's gift. After age 50, she plans to stop making deposits and let the money grow until it reaches $2,000,000 when she turns 55 . Assume she can earn 7% compounded semi-annually. How much will Sally have to deposit into her account each month to achieve her objective?

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Sally needs to deposit about $4,525.30 at the end of each month into an account that earns 7% compounded semi-annually for 35 years to accumulate $2,000,000.

Given, Sally just turned 20 and received a gift of $50,000 from her rich aunt. She would like to retire on her 55th birthday and thinks she'll need to have about $2,000,000 saved by that time to maintain her lavish lifestyle.She plans to make a deposit at the end of each month until she is 50 into an account that she'll open with her aunt's gift. After age 50, she plans to stop making deposits and let the money grow until it reaches $2,000,000 when she turns 55.Assuming she can earn 7% compounded semi-annually.

To find out how much Sally has to deposit into her account each month to achieve her objective.

Semi-annual interest rate = r = 7% / 2 is 3.5%

Time period of investment = n = 55 - 20 is 35 years

Compounding frequency per year = m = 2, PMT = ?, FV = $2,000,000, PV = $50,000.

Using the formula for future value of an annuity: FV = PMT × [[tex]{(1 + r/m)^(m *n)[/tex]} - 1] ÷ (r/m)

Here, we have PMT, FV, r, m, and n. We will solve this equation for PMT to get the monthly deposit required for Sally.

PMT = [FV × (r/m)] ÷ [{[tex](1 + r/m)^(m *n)}[/tex] - 1]

PMT = [2,000,000 × (0.035/2)] ÷ [[tex]{(1 + 0.035/2)^(2 *35)[/tex]} - 1]

Therefore, PMT ≈ $4,525.30.

Sally needs to deposit about $4,525.30 at the end of each month into an account that earns 7% compounded semi-annually for 35 years to accumulate $2,000,000.

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Your colleague lionel has just finished drafting an important business proposal. now he has asked you for advice on how to review the document. what should you tell him to do?

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To review the business proposal, you can advise Lionel to follow these steps:Start with a quick skim,  Review the introduction and conclusion, Analyze the body of the proposal, Check for errors and inconsistencies etc.



1. Start with a quick skim: Begin by quickly skimming through the document to get an overall understanding of its structure and main points. This will help identify any major issues or areas that require more attention.

2. Review the introduction and conclusion: Pay close attention to the introduction and conclusion sections. These sections should clearly outline the purpose of the proposal, its key objectives, and a compelling summary of the main points. Ensure that these sections are concise and persuasive.

3. Analyze the body of the proposal: Carefully read through each section of the proposal, assessing the flow of ideas and the clarity of the content. Check if the information provided is relevant, accurate, and well-supported. Look for any inconsistencies or gaps in the logic of the arguments presented.

4. Check for errors and inconsistencies: Review the proposal for any grammatical, spelling, or punctuation errors. Additionally, check for consistency in formatting, headings, and numbering. This will enhance the overall professionalism and readability of the document.

5. Evaluate the visuals and graphics: If the proposal includes visuals such as graphs, charts, or tables, ensure that they are clear, accurate, and effectively support the information presented in the text. Verify that all visuals are labeled correctly and referenced appropriately in the body of the proposal.

6. Seek feedback from others: It can be valuable to seek feedback from colleagues or supervisors. Share the proposal with them and request their input. Others may be able to provide fresh perspectives, catch errors that you might have missed, and offer suggestions for improvement.

7. Proofread the final version: Before submitting the proposal, carefully proofread the document one final time. Pay close attention to detail and ensure that there are no typos or formatting errors. It may be helpful to read the document aloud or use a spell-checking tool to catch any remaining mistakes.

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= Q.3 Two firms produce homogeneous products. The inverse demand function is given by: p(x₁, x₂) = 80x₁-x2, where x₁ is the quantity chosen by firm 1 and x₂ the quantity chosen simultaneously by firm 2. the cost function of firm 2 is c2(x2) = 20x2 . the cost function of firm 1 is c1(x1) = 15 with probability of 0.5 . Identify the static bayesian nash equilibrium.

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The static Bayesian Nash equilibrium in this scenario is for firm 1 to choose a quantity of x₁ = 10 and for firm 2 to choose a quantity of x₂ = 20.

In order to identify the static Bayesian Nash equilibrium, we need to consider each firm's best response given the strategy of the other firm. In this case, firm 1 and firm 2 simultaneously choose their quantities, considering the inverse demand function and their cost functions.

Firm 2's cost function is given as c₂(x₂) = 20x₂. Since firm 2's cost is independent of the quantity chosen by firm 1, it will aim to maximize its profit by setting its quantity where marginal cost equals marginal revenue. Firm 2's marginal cost is constant at 20, and the marginal revenue can be derived from the inverse demand function:

MR₂ = ∂p/∂x₂ = 80 - 2x₂

Setting MR₂ equal to 20, we get:

80 - 2x₂ = 20

Solving for x₂, we find:

x₂ = 30

Now, turning to firm 1, its cost function is c₁(x₁) = 15, which is independent of the quantity chosen by firm 2. Firm 1 will also aim to maximize its profit by setting its quantity where marginal cost equals marginal revenue. Firm 1's marginal cost is constant at 15. The marginal revenue for firm 1 can be derived by taking the derivative of the inverse demand function with respect to x₁:

MR₁ = ∂p/∂x₁ = 80

Setting MR₁ equal to 15, we have:

80 = 15

This equation does not have a solution as the quantities chosen by the two firms do not affect each other. Therefore, firm 1 can choose any quantity without affecting firm 2's profit.

Considering the probability of 0.5 for firm 1's cost function, we find that firm 1 will choose a quantity of x₁ = 10 with a probability of 0.5. Firm 2 will choose its quantity of x₂ = 20 regardless of firm 1's choice. This is the static Bayesian Nash equilibrium, where neither firm has an incentive to deviate from their chosen strategy given the strategy of the other firm.

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What is a risk premium? How is it defined? Over the last approximately 108 years, relative to U.S. Treasury bills, what is the average risk premium for stocks? For bonds?
What is a normal distribution curve? What is being distributed? What is it being distributed over?
How does one calculate an expected value?

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A risk premium is the additional return an investor expects to receive for taking on extra risk compared to a risk-free investment. Over the last 108 years, the average risk premium for stocks, relative to U.S. Treasury bills, would require historical data on stock returns and Treasury bill returns to calculate. Without specific data, an exact average risk premium cannot be provided. A normal distribution curve is a bell-shaped probability distribution that represents the distribution of a continuous random variable. It is characterized by its mean and standard deviation. The normal distribution curve is used to model various natural and financial phenomena, assuming data follows a normal distribution. The expected value is calculated by taking the weighted average of possible outcomes based on their respective probabilities.

A risk premium is the excess return or compensation that an investor expects to receive for taking on additional risk compared to a risk-free investment. It represents the additional return required for investing in an asset with higher uncertainty or volatility.

To calculate the average risk premium for stocks and bonds relative to U.S. Treasury bills over the last 108 years, historical data would be needed, including the returns of stocks, bonds, and Treasury bills over that period. Without specific data, I cannot provide an exact average risk premium.

A normal distribution curve, also known as a Gaussian distribution or bell curve, is a statistical concept representing a symmetric probability distribution. It is characterized by its bell-shaped curve, where the data is symmetrically distributed around the mean. The curve is determined by two parameters, the mean (average) and the standard deviation, which determine the central tendency and dispersion of the data, respectively.

A normal distribution curve represents the distribution of a continuous random variable. It is used to model various natural phenomena and financial data, assuming that the data follows a normal distribution.

The expected value, also known as the mean or average, is calculated by summing the products of each possible outcome of a random variable and its corresponding probability. In other words, it is the weighted average of all possible outcomes, where the weights are the probabilities assigned to each outcome. Mathematically, it is represented as:

Expected Value = Σ (Outcome * Probability)

By calculating the expected value, one can estimate the average outcome or value that is expected to occur based on the probabilities assigned to different outcomes.

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15. You are the business manager for a dermatological practice. The dermatologist has asked you to estimate customer lifetime value for your firm's typical customer. Calculate customer lifetime value for a new customer:
Average visit:
$1,550
Frequency of visits: Markup on retail:
Retention rate:
2.4/year
40%
70%
Discount Rate:
Promotional Costs/yr.
12%
$50
Acquisition Cost
$250
16. Continuing with the previous question, how much money can the practice afford to spend to increase customer retention from 70 to 75%?

Answers

valus,
Average visit= $1,550
Frequency of visits=2.4/year
Markup on retail= 40%
Retention rate=70%
Discount rate=12%
Promotional costs/year= $50
Acquisition cost= $250Customer

lifetime value= (Average sale per customer)*(number of repeat transactions)*(average retention time per customer)

Customer lifetime value=(1550*2.4*[(1-0.7)/1+0.12-0.7])/(1+0.12-0.7)Customer lifetime value = $13,788.46

Practice can spend the amount equals to the present value of the customer lifetime value to acquire new customers.

Present value of customer lifetime value is calculated asPV = CLV/(1+r)n Where, CLV is the customer lifetime value, r is the discount rate, and n is the period under consideration.

PV=13788.46/(1+0.12-0.7)PV = $13,370.97To increase customer retention from 70% to 75%, the increase in retention is 7.14%.

Let's assume that the current retention rate is based on the promotional cost of $50. So, the increase in retention rate by 7.14% would require how much increase in the promotional cost?

We can calculate this using the following formula:Increase in promotional costs = (increase in retention rate/ % retention rate) × Promotional costs/yearIncrease in promotional costs= (7.14/70) × 50Increase in promotional costs= $5.10

Thus, the practice can afford to spend $5.10 to increase customer retention from 70% to 75%.

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Р Question 11 The starting point (i.e., starting values for the decision variables) does not affect the solution found by Solver in a nonlinear optimization problem. True False 0 words DECISION TREES 2 pts

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False. The starting point can affect the solution found by Solver in a nonlinear optimization problem as it determines the initial search direction and can lead to different local optima.

False. The starting point can have an impact on the solution found by Solver in a nonlinear optimization problem. Nonlinear optimization problems involve complex mathematical equations and multiple variables, making it challenging to find the optimal solution. The starting point serves as an initial guess or approximation for the solver to begin the optimization process. Different starting points can lead to different paths and potentially different local optimal solutions.

Since nonlinear optimization problems may have multiple local optima, the choice of starting point can influence which local optimum is reached. If the starting point is close to the global optimum, the solver is more likely to find the best solution. However, if the starting point is far from the global optimum, the solver may converge to a local optimum instead.

Therefore, selecting an appropriate starting point is important in nonlinear optimization to increase the likelihood of finding the desired solution.

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3. Three investments are provided as follow: Investment X : Risky asset; 15% return, 1600% 2 variance Investment Y: Risky asset; 10% return, 225% 2 variance Investment Z: Risk-free asset; 6% return The correlation of the return for X and Y is exactly −1. (a) ( 2 points) State the volatility of X and Y. (b) Write the volatility of a portfolio P1, with x invested in investment X and (1−x) invested in investment Y. (0⩽x⩽1) (c) Find the value of x such that a portfolio P2 formed is risk-free. What is the risk-free rate from P2 ? (d) ( 2 points) The risk-free rate you obtained from P2 is higher than that from Investment Z. Will anyone actually invest in investment Z then, why? Assume that everyone thinks that higher return is always better. Because of such an action, what do you think for the future price of the portfolio P2; will it increase or decrease?

Answers

(a) The volatility of an investment is measured by its variance. For Investment X, the variance is 1600% or 16.00 (in decimal form) squared. For Investment Y, the variance is 225% or 2.25 (in decimal form) squared.

(b) To find the volatility of portfolio P1, we use the formula: volatility(P1) = sqrt(x^2 * variance(X) + (1-x)^2 * variance(Y)). Here, x represents the proportion of investment X in the portfolio.

(c) To form a risk-free portfolio P2, the correlation between X and Y needs to be -1. The volatility of P2 is given by the formula: volatility(P2) = sqrt(x^2 * variance(X) + (1-x)^2 * variance(Y) + 2 * x * (1-x) * sqrt(variance(X) * variance(Y))). Solving for x, we find the value that makes the portfolio risk-free.

(d) If the risk-free rate from P2 is higher than that from Investment Z, investors may prefer to invest in P2. However, if everyone thinks that higher return is always better, they may still choose Investment Z despite the lower risk-free rate.

As for the future price of portfolio P2, it is difficult to determine whether it will increase or decrease based solely on the information provided. Several factors can influence the future price, such as market conditions, investor sentiment, and economic factors.

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how to write background of the study based on below topic :
The relationship between job stress, job satisfaction and work life balance towards turnover among employees in banking sectors

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The background of the study should provide an introduction to the topic, discuss the banking sector context, highlight the importance of job stress, job satisfaction, and work-life balance, and identify the research gap that the study aims to fill.

The background of the study for the topic "The relationship between job stress, job satisfaction, and work-life balance towards turnover among employees in the banking sector" would typically include the following elements:

1. Introduction to the topic:

- Start by introducing the importance of understanding the factors that influence employee turnover in the banking sector.

- Highlight the significance of job stress, job satisfaction, and work-life balance as key variables affecting employee turnover.

2. Overview of the banking sector:

- Provide a brief overview of the banking sector, its role in the economy, and the challenges faced by employees in this industry.

- Discuss the competitive nature of the banking sector, the demands of the job, and the potential impact on employee well-being and turnover.

3. Importance of job stress:

- Explain the concept of job stress and its relevance to employee performance and well-being.

- Discuss the specific stressors that are prevalent in the banking sector, such as high workload, tight deadlines, customer demands, and regulatory pressures.

- Highlight previous research studies that have established a link between job stress and employee turnover.

4. Significance of job satisfaction:

- Emphasize the importance of job satisfaction in employee retention and organizational success.

- Discuss the factors that contribute to job satisfaction in the banking sector, such as work environment, career development opportunities, compensation, and job autonomy.

- Present relevant studies that have examined the relationship between job satisfaction and turnover in the banking industry.

5. Role of work-life balance:

- Explain the concept of work-life balance and its relevance to employee well-being and job satisfaction.

- Discuss the challenges faced by employees in the banking sector in achieving work-life balance due to long working hours, demanding schedules, and high job responsibilities.

- Present research studies that have explored the impact of work-life balance on job satisfaction and turnover in the banking industry.

6. Research Gap:

- Identify the existing gap in the literature regarding the relationship between job stress, job satisfaction, work-life balance, and turnover specifically in the banking sector.

- Highlight the need for further research to address this gap and provide insights that can help organizations in the banking sector to improve employee retention.

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Which of the following would NOT be a way to implement comparative advantage? IBM exports computers to Egypt. Computer hardware is designed in the United States but manufactured and assembled in Korea. Water of the greatest purity is obtained from wells in Oregon, bottled, and exported worldwide. All of the above are examples of ways to implement comparative advantage.

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All of the above are examples of ways to implement comparative advantage.

In economics, comparative advantage refers to the ability of an individual or firm to produce goods and services at a lower opportunity cost than another individual or firm. It enables a country to produce goods and services more efficiently than its trading partners. IBM exports computers to Egypt, computer hardware is designed in the United States but manufactured and assembled in Korea, and water of the greatest purity is obtained from wells in Oregon, bottled, and exported worldwide are all examples of ways to implement comparative advantage.

Comparative advantage is a principle that explains why trade happens between countries. It says that countries should produce and export those goods and services that they can produce more efficiently, that is, at lower opportunity cost, than other countries. The concept of comparative advantage implies that countries can benefit from trading with one another, even if one country is more efficient in producing all goods and services.

This is because countries can specialize in producing those gse  and services in which they have a comparative advantage, and trade with other countries to obtain the goods and services that they cannot produce efficiently.

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Consider the following two statements on MRP. Which statement is true? 1. The MRP scheme has a 'Planned order release' of 10 units in period T. The lead time is 2 weeks. After closing off period T the 'Scheduled receipts' in period T increases with 10 units. 2. Product X consists of 1 units of component Z. Product Y consists of 2 units of component Z. Product X is manufactured in lot sizes of 10,Y in lot sizes of 5 , and Z in lot sizes of 15 . The Gross requirements of Z is in multiples of 10. Statement 1 is true, statement 2 is not true Statement 1 is true, statement 2 is true Statement 1 is not true, statement 2 is not true Statement 1 is not true, statement 2 is true

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Statement 1 is not true, statement 2 is true.The true statement among the given two is statement 2. Statement 1 is not true.Explanation:MRP (Material Requirements Planning) is a computerized production planning and inventory control system used to manage manufacturing processes.

It calculates the exact quantities, and when to order them, required to manufacture final products.Components and sub-assemblies are included in the materials requirement plan, as are materials and other resources needed for the manufacturing process. These are then used to calculate the order needs.The following are the given two statements on MRP:1. The MRP scheme has a 'Planned order release' of 10 units in period T.

The lead time is 2 weeks. After closing off period T the 'Scheduled receipts' in period T increases with 10 units. This statement is not true.2. Product X consists of 1 units of component Z. Product Y consists of 2 units of component Z. Product X is manufactured in lot sizes of 10,Y in lot sizes of 5, and Z in lot sizes of 15. The Gross requirements of Z is in multiples of 10. This statement is true. So, the correct option is Statement 1 is not true, statement 2 is true.

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he quantity supplied of a good, service, or resource equals the quantity demanded at the quantity. (enter one word as your answer.)

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The term is "equilibrium." The quantity supplied of a good, service, or resource equals the quantity demanded at the equilibrium.

The term that describes the situation when the quantity supplied of a good, service, or resource equals the quantity demanded is called "equilibrium." In equilibrium, the market is in balance, with no excess supply or demand. At this point, the price and quantity are at a stable state, and there is no inherent tendency for the market to move away from this point.

Equilibrium is achieved when the forces of supply and demand are in sync, resulting in a situation where buyers are willing to purchase exactly what sellers are willing to sell. It represents a state of balance where market forces determine the optimal allocation of resources.

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Min has decided that she would like to spend $57,600 per year in retirement. If she expects to be retired for 24 years, and her investments will continue to earn 5% in retirement, how much does she have to have accumulated before she can retire?

Answers

The Min needs to have accumulated approximately $890,640 before she can retire in order to meet her retirement income goal.

To calculate the amount Min needs to have accumulated before retiring, we can use the formula for the present value of an annuity:

PV = PMT × (1 - (1 + r)⁻ⁿ) / r

Where:

PV = Present Value (accumulated amount)

PMT = Payment per year in retirement ($57,600)

r = Interest rate per year (5% or 0.05)

n = Number of years in retirement (24)

Substituting the given values into the formula, we can calculate the present value:

PV = $57,600 × (1 - (1 + 0.05)⁻²⁴) / 0.05

PV = $57,600 × (1 - 0.223) / 0.05

PV = $57,600 × 0.777 / 0.05

PV = $890,640

Therefore, Min needs to have accumulated approximately $890,640 before she can retire in order to meet her retirement income goal.

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You have a long position in December put option on the shares of Heartless Enterprises Inc. with a strike price of $40. It is a European option. Today (in November), Heartless shares are trading for $30 and you want to close your position. What do you do?I. Sell a December call option II. Exercise your option III. Sell a December put option a. I only b. II only c. III only d. II or III

Answers

You can either sell a December put option or exercise your option. Option (d) II or III is correct.

As a long position holder in December put option on the shares of Heartless Enterprises Inc with a strike price of $40, today, in November, Heartless shares are trading for $30 and you want to close your position.

close your position - To close a long position on a put option, you can either sell a put option or exercise the option. This would depend on the situation. If the time value of the option is more significant than the intrinsic value of the option, it would be best to sell the option rather than exercising it.

But if the intrinsic value is more than the time value, you can exercise the option to gain a profit. Therefore, in this case, you can either sell a December put option or exercise your option to close your position.

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1. Industry Convergence M&As
A. are the type that usually produce the most gains for the companies involved.
B. typically occur early in the industry life cycle of the companies involved.
C. typically occur between companies in mature industries.
D. are highly risky because they involve the trying to blend companies operating in different industries.
E. typically involve mid-sized companies in high tech industries.

Answers

The correct answer to the given question is option D) are highly risky because they involve trying to blend companies operating in different industries. Industry Convergence M&As (mergers and acquisitions) refer to the mergers or acquisitions of companies that operate in different but related industries.

They are also called conglomerate mergers. These mergers are highly risky as they involve blending companies operating in different industries. Hence, option D is correct.

Other options given are not correct. Let's discuss them:

Option A: This is an incorrect option because industry convergence M&As are not necessarily the type that produces the most gains for the companies involved. It may result in more gains for the companies involved, but there is no guarantee that it will be the type that produces the most gains.

Option B: This is an incorrect option because industry convergence M&As do not typically occur early in the industry life cycle of the companies involved.

Industry convergence M&As typically occur when companies in unrelated industries are seeking new sources of revenue or diversification.

Option C: This is an incorrect option because industry convergence M&As do not typically occur between companies in mature industries.

Industry convergence M&As occur when companies in unrelated industries are seeking new sources of revenue or diversification.

Option E: This is an incorrect option because industry convergence M&As do not typically involve mid-sized companies in high-tech industries.

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Let M=PxX+ PyY represent the consumer's budget constraint, where M represents income, Px the price of Good x, and Py the price of Good Y. Initially Px is $2 and Py is $4., and M is $400
Assume that income (M) and the price of Good x (Px) remain unchanged, while the price of Good Y (Py) increases by 100%
Under this new scenario, the slope of the budget constraint remains unchanged.
True
|False

Answers

False..The slope of the budget constraint will not remain unchanged when the price of Good Y (Py) increases by 100%.

The slope of the budget constraint represents the rate at which the consumer can trade one good for another while keeping the same level of utility. It is calculated as the ratio of the price of Good X (Px) to the price of Good Y (Py).

Initially, when Px is $2 and Py is $4, the slope of the budget constraint is 2/4 = 0.5. This means that for every unit of Good X the consumer purchases, they must give up 0.5 units of Good Y to remain on the budget constraint.

However, when the price of Good Y increases by 100%, the new price becomes $8. The new slope of the budget constraint will be 2/8 = 0.25. This indicates that for every unit of Good X the consumer purchases, they now have to give up 0.25 units of Good Y.

Therefore, the slope of the budget constraint changes from 0.5 to 0.25 when the price of Good Y increases by 100%.

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Current Attempt in Progress Oriole Company's record of transactions concerning part X for the month of April was as follows. Compute the inventory at April 30 on each of the following bases. Assume that perpetual inventory records are kept in units only. (1) First-in, first-out (FIFO). (2) Last-in, first-out (LIFO). (3) Average-cost. (Round final answers to 0 decimal places, eg. 6,548.)

Answers

Based on the given information, we need to compute the inventory at April 30 using three different methods: FIFO, LIFO, and average-cost.

For FIFO, we assume that the earliest acquired units are sold first. So, we calculate the inventory by adding up the cost of the remaining units at April 30.

For LIFO, we assume that the most recently acquired units are sold first. Therefore, we calculate the inventory by adding up the cost of the remaining units at April 30.

For average-cost, we take the average cost per unit by dividing the total cost of all units by the total number of units. Then, we multiply the average cost per unit by the remaining units at April 30 to calculate the inventory.

In conclusion, we can compute the inventory at April 30 using the FIFO, LIFO, and average-cost methods.

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Question 22. part 1-9 question. Answer each part with step by step on how you hot the answer.
a) What is the daily demand of this product? ____ units (enter your response as a whole number)
b) if the company were to continue to produce 400 units at each time production starts, how many days would production continue? ____ days (enter response as whole number)
c) Under the current policy, how many production runs per year would be required ? _____ runs (round upur response to the nearest whole number)
D) what would the annual set ip cost? $____ (round your response to the nearest whole number)
e) if the current policy continues, how many refrigerators would be in inventory when production stops? _____ units ( round response to nearest whole number)
f) What would the average inventory level be? ____ units (round your response to the nearest whole number)
g) if the company profuces 400 refrigerators at a time, what woukd the total annual setup cost and holding cost be? $ _____ (round upur reslonse to the nearest whole number)
h) if Bud Banis wants to minimize the total annual inventory cost, how many refrigerators should be produced in each production run? ____ (round to your nearest whole number)
i) How much would this save the company in inventory cost conpared to the current policy of producing 400 units in each production run? $____ (round your response to the nearest whole number)

Answers

From the given graph, the daily demand of the product is 1600 units.

What are the rest of answer ?

b) If the company were to continue to produce 400 units at each time production starts, then the production would continue for 6 days. Number of days of production =

Demand/Units per day=1600/400

=4 days

c) As the demand is 1600 units per day, the production runs per year required would be: 1600*240 = 384000.

Hence, 384000/400=960 runs are required.

Rounded to the nearest whole number, the answer is 960 runs.

d) The given data shows that the annual set up cost is $25,000.

As 400 refrigerators are produced per run, then 960 runs are required per year, so the total annual set up cost would be 25000*960 = $24,000,000.

Rounded to the nearest whole number, the answer is $24,000,000.

e) From the given graph, when production stops, 400 refrigerators are still produced, so the inventory would be 400 units.

f) The average inventory level can be calculated by dividing the total inventory by the number of production runs, which is: (400/2) + 0 + (400/2) = 400.

Rounded to the nearest whole number, the answer is 400 units.

g) The total annual setup cost and holding cost can be calculated by the formula given below:

Total annual setup cost and holding cost = Annual setup cost + Annual holding cost.

Where, Annual setup cost = number of setup per year × setup cost per year

Annual holding cost = average inventory level × cost to hold one unit in inventory

= 2400*100 + 400*80

= $248,000.

Rounded to the nearest whole number, the answer is $248,000.

h) The number of refrigerators should be produced in each production run to minimize the total annual inventory cost is 800 units.

i) As per the data given, when 400 units are produced, the average inventory level is 400 units. When 800 units are produced, then the average inventory level would be 200 units.

The saving in the inventory cost can be calculated by subtracting the current inventory cost from the new inventory cost.

The new inventory cost can be calculated by dividing the average inventory level by 2 and multiplying it by the cost per unit.

Therefore, the savings in the inventory cost is (200/2) × 20 - (400/2) × 100 = $-6,000.

Rounded to the nearest whole number, the answer is $-6,000.

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What is the future value of $400 saved at i-7.86%, compounded annually in 1 year? 2. what is the future value of $400 saved at 1-786%, compounded annually in 2 years? 3, what is the future value of $400 saved at i 7.86%, cormpounded semi-annually in 2 years? 4. What is the future value of $400 saved at i: 7.86%, compounded quarterly in 2 years? 5. Suppose you save $18,000 per year at an interest rate of i much will you have after 35 years? 5.21% compounded once per year. How 6. A risk-free bond will pay you $1000 in 1 year. The annual discount rate is i-3.69% cormpounded annually. What is the bond's present value? 7. A risk-free bond will pay you $1000 in 2 years and nothing in between. The annual discount rate is i 9596 cormpounded annually, what is the bond's present value? 8. You buy a 30 year zero coupon bond which will pay you $1000 in 30 years at an annual yield ofi 6% compounded once per year. A few minutes later the annual yield rises to i 7% compounded once per year. What is the percent change in the value of the bond? (Hint: the answer should be negative.) 9. You buy a 30 year zero coupon bond which will pay you $1000 in 30 years at an annual yield of 14% compounded once per year, 25 years later it will be a 5 year zero coupon bond. Suppose the interest rate on this bond will be 14%, what will the price of this bond be in 25 years? 10. You are offered an annuity that will pay you $200,000 once per year, at the end of the year, for 25 years. The first payment will arrive one year from now. The last payment will arrive twenty five yeans from now. Suppose your annual discount rate is i-5.25%, how much are you willing to pay for this annuity? (hint: this is the same as the present value of an annuity.) 11. You would like to develop an office building. Your analysts forecast that it will cost you $1,000,000 immediately (time 0), and it will cost you $500,000 in one year (time 1). They forecast you can sell the building for $2.400,000 in two years (time 2). If your discount rate is 25%, what is the net present value of this investment?

Answers

1. The future value of $400 saved at an interest rate of 7.86%, compounded annually for 1 year is approximately $431.44.

2. The future value of $400 saved at an interest rate of 7.86%, compounded annually for 2 years is approximately $466.62.

3. The future value of $400 saved at an interest rate of 7.86%, compounded semi-annually for 2 years is approximately $468.68.

4. The future value of $400 saved at an interest rate of 7.86%, compounded quarterly for 2 years is approximately $469.64.

5. Saving $18,000 per year for 35 years at an interest rate of 5.21%, compounded once per year would result in a future value of approximately $1,306,577.46.

1. To calculate the future value of $400 saved at an interest rate of 7.86%, compounded annually for 1 year, we use the formula:

Future Value = Present Value * (1 + Interest Rate)^Time

Future Value = $400 * (1 + 0.0786)^1

Future Value ≈ $431.44

2. Using the same formula, for 2 years of compounding annually:

Future Value = $400 * (1 + 0.0786)^2

Future Value ≈ $466.62

3. For semi-annual compounding over 2 years:

Future Value = $400 * (1 + (0.0786 / 2))^ (2 * 2)

Future Value ≈ $468.68

4. For quarterly compounding over 2 years:

Future Value = $400 * (1 + (0.0786 / 4))^ (4 * 2)

Future Value ≈ $469.64

5. To calculate the future value of saving $18,000 per year for 35 years at an interest rate of 5.21%, compounded annually:

Future Value = $18,000 * ((1 + 0.0521)^35 - 1) / 0.0521

Future Value ≈ $1,306,577.46

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The glider is released and allowed to oscillate in SHM.(a) If the distance of the glider from the fixed end of the spring varies between 1.61m and 1.06 m, and the period of the oscillation is 2.15 s, find the force constant of the spring.(b) Find the maximum speed of the glider.(c) Find the magnitude of the maximum acceleration of the glider. 1. Transform the following f(x) using the Legendre's polynomial function (i). (ii). 4x32x 3x + 8 x 2x-x-3 - You and a friend want to go on a bike trek through France, You decide to invest $275 a month for four years in a money market account that is earning 4%. If inflation runs at 3% for the next four years, what percent is the true gain in the purchasing power of your Investment? (Round all intermediate calculations and final answers to 2 decimal places.) Controlling the fluid system that is working remotely by programming (PLC with I/O and O/P require start and stop button). The system has main components of: Double Acting cylinder and 5/3 DCV. It requires the extension of the actuator for 15 seconds before returning to the initial position (hint: need the sensor at the extension position). Suppose that a unit of the Food and Drug Administration (FDA) is responsible for subsidizing pharmaceutical companies to develop new drugs for treating certain difficult cancers. Because of the expense, most drug companies are reluctant to take on this work, and the few that do complain that it is more expensive than they anticipated given all the safety regulations they must follow. In response, the FDA decides to waive certain safety trials so that the remaining companies do not drop out of the initiative. The FDA's decision has the desired effect: most of the companies stay in the program. However, six months after the new drugs are released, they are found to have serious side effects, side effects that typically would have been noticed during some of the safety trials. What term describes the FDA's behavior in this situation?a.implementation b.privatization c.regulatory capture d.oversight A block of mass 1.89 kg is placed on a frictionless floor and initially pushed northward, where it begins sliding with a constant speed of 4.48 m/s. It eventually collides with a second, stationary block, of mass 3.41 kg, head-on, and rebounds back to the south. The collision is 100% elastic. What will be the speeds of the 1.89-kg and 3.41-kg blocks, respectively, after this collision?a-2.43 m/s and 2.24 m/sb-0.51 m/s and 1.76 m/sc-1.28 m/s and 3.20 m/sd-3.20 m/s and 1.28 m/s In an insulated vessel, 247 g of ice at 0C is added to 635 g of water at 19.0C. (Assume the latent heat of fusion of the water is 3.33 X 10 J/kg and the specific heat is 4,186 J/kg . C.) (a) What is the final temperature of the system? C (b) How much ice remains when the system reaches equilibrium? given a double variable named x that has been declared and given a value, let's use a binary search technique to assign an estimate of its square root to another double variable, root that has also been declared. let's assume that x's value is greater than 1.0 -- that will simplify things a bit. here's the general idea: since x>1, we know its square root must be between 1 and x itself. so declare two other variables of type double (a and b say) and initialize them to 1 and x respectively. so we know the square root must be between a and b. our strategy is to change a and b and make them closer and closer to each other but alway make sure that the root we're looking for is between them. (such a condition that must always hold is called an invariant.) 1. Briefly explain the key factors that should be considered in relation to designing an autonomous hybrid system a household. 2. What considerations should be made regarding a domestic PV or a small wind turbine installation? 3. Meeting winter heating loads is a key requirement for the UK energy grid, what low carbon options are available to do this in the future? 4. Briefly explain the key factors that should be considered in relation to battery sizing. List the 5. three main types of suitable deep-cycle batteries? If a ballon is filled to a volume of 3.00 liters at pressue of 2.5 atm what is the volum? 10. (10 points total) An object is placed 6 cm to the left of a converging lens. Its image forms 12 cm to the right of the lens. a) (3 points) What is focal length of the lens? b) (3 points) What is the magnification? c) (2 points) is the image upright, or inverted? (Please explain or show work.) d) (2 points) is the image real or virtilal? (Please explain or show work) Reflect on the following giving all information as possibleYou are on-site will be about working in the COVID-19 environment: discuss fears, and anxieties, what support would you like from your instructor/colleagues, and how are colleagues supporting each other?How do you see your role as a student nurse?What lessons from the first week will you bring forward into your future practice? Finish this sentence: it is important for a business to secure its computer data because: In a double-slit interference experiment, the wavelength is a = 687 nm, the slit separation is d = 0.200 mm, and the screen is D= 37.0 cm away from the slits. What is the linear distance Ax between the seventh order maximum and the second order maximum on the screen? Ax= mm