In __________, new or additional responsibilities to a
subordinate are assigned.
Multiple Choice
mutual adjustment
centralization
delegation
integration
job specialization

a: The average utilization of the cashier is 0.02, or 2%

b. The average number of customers in the system is 2.384, or approximately 2.4 customers.

a. The average utilization of the cashier can be calculated as the ratio of the average service rate to the arrival rate. The average service rate is the reciprocal of the average service time (i.e., 1/5 minutes per customer). Therefore, the average utilization is:

Utilization = (Average service rate) / (Arrival rate)

           = (1/5) / (10 per hour)

           = 0.02

So the average utilization of the cashier is 0.02, or 2%.

b. The average number of customers in the system can be calculated as the sum of the average number of customers in the queue and the average number of customers being served. Since the arrivals follow a Poisson distribution and service times follow an exponential distribution, we can use Little's law to find the average number of customers in the system:

Average number of customers in the system = (Average arrival rate) x (Average time spent in the system)

The average arrival rate is 10 per hour, and the average time spent in the system is the sum of the time spent waiting in the queue and the time spent being served. Using the formulas for the average waiting time in the queue and the average time spent being served for an M/M/1 queue (which is the queueing system in this case), we get:

Average waiting time in queue = (Utilization) / (Service rate - Arrival rate)

                             = 0.02 / (1/5 - 10)

                             = 0.0333 hours (or approximately 2 minutes)

Average time spent being served = (Average service time) / (1 - Utilization)

                               = (1/5) / (1 - 0.02)

                               = 0.2051 hours (or approximately 12 minutes)

Therefore, the average time spent in the system is:

Average time spent in the system = Average waiting time in queue + Average time spent being served

                               = 0.0333 + 0.2051

                               = 0.2384 hours (or approximately 14 minutes)

Finally, the average number of customers in the system is:

Average number of customers in the system = (Average arrival rate) x (Average time spent in the system)

                                        = 10 x 0.2384

                                        = 2.384

So the average number of customers in the system is 2.384, or approximately 2.4 customers.

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The different ways researchers select 12 patients to receive  the trail drug from the total of  16: 5 , =1820 Ways.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

The number of permutations/k! is the formula for computing the number of combinations. n!/(n-k) is the number of permutations! Hence, the number of combinations is (n!/(n-k)!)/k!

Moreover, there are two categories of combinations (note that the order is irrelevant at this point): Repeating phrases like "coins in your pocket" is acceptable (5,5,5,10,10) The same goes for lotto numbers (2,14,15,27,30,33),

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Amazon's market entry plan for Nigeria and Kenya should prioritize building local partnerships, establishing a strong logistics infrastructure, and adapting to local payment systems.

Nigeria and Kenya are rapidly growing economies with expanding e-commerce markets and rising middle classes. However, challenges include weak infrastructure, low digital literacy, and high levels of corruption.

Amazon's business model of offering a wide range of products and services, including its own branded products and third-party sellers, should be adapted to the local market.

Risks include intense competition from established local e-commerce companies and navigating complex regulations. Overall, successful entry into these markets could offer Amazon significant growth opportunities and help it establish a foothold in Africa.

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a. Compute the divisional ROI for the Custodial Division

ROI stands for return on investment. ROI is used to evaluate the efficiency of an investment or compare the efficiency of a range of investments. ROI is calculated by dividing the return of an investment by the cost of the investment.

ROI= Profits / Assets = $276,000/$1,200,000 = 0.23ROI= 23%

b. Compute the divisional RI for the Custodial Division RI stands for residual income. Residual income is an income earned by an entity beyond the minimum rate of return on the capital invested.

RI= Profits - Cost of Capital x Assets Cost of Capital= 7.5% x $1,200,000 = $90,000RI= $276,000 - $90,000 = $186,000RI= $186,000 in dollars.

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The correct answer is $192. 536. 05. We must use the following formula to discount the anticipated cash flows by the 15.6% needed rate of return in order to determine the project's net present value (NPV).

NPV = (CF0 + CF1 / (1+r) + CF2 / (1+r)^2 + ... + CFn / (1+r)^n) - Initial Investment

Where r is the needed rate of return, CF1 through CF9 are the anticipated operating cash flows, and CF0 represents the initial investment.

CF0 = -36,500 - 2,200 = -38,700

CF1 to CF9 = 49,500

NPV = (-38,700 + 49,500 / (1+0.156) + 49,500 / (1+0.156)^2 + ... + 49,500 / (1+0.156)^9)

Using a spreadsheet or financial calculator, we determine that option C's NPV is $192,536.05. The expansion project should be approved because it has a positive NPV.

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For a given downward-sloping, linear demand curve, total revenue is maximized at the point where price elasticity is equal to 1. This is known as the unit elastic point.

At this point, the quantity demanded and the price are at a level that produces the maximum amount of total revenue for the seller. If the price elasticity is greater than 1, it means that the demand is elastic and a small change in price will result in a larger change in quantity demanded. If the price elasticity is less than 1, it means that the demand is inelastic and a small change in price will result in a smaller change in quantity demanded. Therefore, the point where price elasticity is equal to 1 is the optimal point for maximizing total revenue.

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A price ceiling is a legal limit on the maximum price at which a good or service can be sold in the market. In this scenario, the government has imposed a price ceiling of $5 per gallon on milk.

As a result, the quantity of milk demanded by consumers exceeds the quantity supplied by producers, leading to excess demand or a shortage of 600 gallons per day. This shortage can lead to a black market or a rationing system, which can result in further inefficiencies. The quantity of milk bought and sold each day after the imposition of the price ceiling is 400 gallons per day, which is lower than the equilibrium quantity of milk that would have been sold in the absence of a price ceiling. This reduced quantity is due to the fact that the price ceiling creates a disincentive for producers to supply more milk to the market since they cannot charge a higher price for their product. Consumer surplus, which is the difference between the maximum price consumers are willing to pay and the actual price they pay, decreases after the imposition of the price ceiling. However, it is still present, and its value is $900 per day, which represents the net benefit that consumers receive from purchasing milk at a price lower than their maximum willingness to pay. Producer surplus, which is the difference between the price at which producers are willing to supply milk and the actual price they receive, increases after the imposition of the price ceiling. This increase is due to the fact that the price ceiling prevents producers from charging higher prices and allows them to charge a price that is closer to their minimum acceptable price. The value of producer surplus is $2100 per day. Finally, the total economic surplus, which is the sum of consumer surplus and producer surplus, decreases by $3000 per day after the imposition of the price ceiling. This loss in economic surplus represents the inefficiency caused by the price ceiling, which reduces the quantity of milk sold in the market and prevents the market from achieving the equilibrium price and quantity that would maximize economic welfare.

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You may take the following actions to help the management with data analytics on bad debts expenditure at year-end utilising the ageing of receivables method: Collect the required information: Get data

Analyzing data to get insights and make wise judgements is the process of analytics. It entails applying statistical and mathematical methods to gather, arrange, and analyse data. In a variety of industries, including business, healthcare, finance, and marketing, analytics may be utilised to solve issues, increase productivity, and spot possibilities. In today's quick-paced, data-driven world, analytics is more crucial than ever because to the growing availability of big data. Analytics are used by businesses to better analyse consumer behaviour, streamline processes, and come to strategic conclusions. Analytics are used by healthcare practitioners to enhance patient outcomes and lower expenses. Overall, analytics is essential for decision-making, problem-solving, and fostering innovation across a range of industries.

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As productivity relates to the entire effectiveness of production, changes in productivity would not have a direct impact on aggregate demand.

A shift in the AD curve is prevented by changes in inflation because they alter the level of prices in the economy. C, which refers to an increase in inflation, is the right answer.

The aggregate demand curve, or AD curve, shifts to the right as the components of aggregate demand—consumption spending, investment spending, government spending, and spending on exports minus imports—increase.

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The two main reasons why people have trouble making wise financial decisions are lack of financial education and emotional impulses.

It is important for individuals to understand how to manage their money effectively and make smart financial decisions in order to achieve financial stability and success.

Financial education refers to the knowledge and skills required to manage personal finances successfully. People with financial education are more likely to make wise financial decisions and achieve their financial objectives.

Financial education encompasses a wide range of topics, including budgeting, investing, managing debt, and understanding credit scores. Financial education can be acquired through formal education, such as business or finance courses, or through self-study.

Emotional impulses refer to irrational financial decisions based on feelings rather than facts or logic. People often make emotional financial decisions because they are anxious, excited, or fearful.

For example, a person might buy a stock simply because it is trending, without taking the time to research the company or consider its long-term prospects. Emotional impulses can lead to poor financial decisions, which can lead to financial hardship and debt. To avoid emotional impulses, it is important to take a systematic and logical approach to financial decision-making.

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The expected 1-year forward rates for years 4, 5, and 6 are 8.93%, 9.03%, and 9.15%, respectively.

The unbiased expectation theory of the term structure of interest rates posits that the current long-term interest rate is equal to the average of the expected future short-term interest rates. Therefore, if we assume that the current long-term interest rate is the 6-year treasury security yield of 9.75%, we can use this theory to calculate the expected 1-year forward rates for years 4, 5, and 6 as follows:

For the expected 1-year forward rate for year 4, we can use the 3-year treasury security yield and the 4-year treasury security yield. According to the theory, the expected 1-year forward rate for year 4 would be:

(2 * 9.10% * 8.75%) / (9.10% + 8.75%) = 8.93%

For the expected 1-year forward rate for year 5, we can use the 4-year treasury security yield and the 5-year treasury security yield. According to the theory, the expected 1-year forward rate for year 5 would be:

(3 * 9.48% * 9.10% * 8.93%) / (9.48% * 9.10% + 9.10% * 8.93% + 9.48% * 8.93%) = 9.03%

For the expected 1-year forward rate for year 6, we can use the 5-year treasury security yield and the 6-year treasury security yield. According to the theory, the expected 1-year forward rate for year 6 would be:

(4 * 9.75% * 9.48% * 9.03%) / (9.75% * 9.48% + 9.48% * 9.03% + 9.75% * 9.03%) = 9.15%

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The alternative which the borrower should choose assuming that the borrower plans to own the property only for 5 years is:

a. The investor should choose Alternative 1. This loan will have a lower interest rate and overall cost over the course of the full loan term.

b. The investor should choose Alternative 1. Although the second mortgage has a lower interest rate, this loan will be more expensive over the course of the shorter term.

c1. The investor should choose Alternative 2. This loan will be more cost effective over the full 10-year term of the second mortgage.

c2. The investor should choose Alternative 1. This loan will be more cost effective over the shorter 5-year term.

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From an economic perspective, Peter's decision to go to class can be explained through the concept of opportunity cost. Opportunity cost is the value of the next best alternative that is given up when a choice is made. In this case, Peter is giving up the immediate utility of going to lunch with his friends in order to invest in his human capital by going to class.

In terms of the "Be Proactive" habit, the central focus is on self-paradigm and response ability. This means that an individual should take responsibility for their own actions and choices, rather than blaming external factors or circumstances.

Finally, in terms of a rewarding career, the Passion hypothesis requires the existence of pre-existing passion while the Craftsman hypothesis posits that passion evolves over time with mastery. This means that the Passion hypothesis suggests that an individual should pursue a career that they are already passionate about, while the Craftsman hypothesis suggests that passion will develop as an individual becomes more skilled and knowledgeable in their chosen field.

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A card with a long grace period would be in Delara's best interest because it would give her more time to pay off her balance before interest is charged.

Interest is the cost of borrowing money or the reward for saving or investing money. It is calculated as a percentage of the principal, which is the original amount borrowed or invested. Interest is usually paid over time and can be compounded, which means it can earn additional interest.

This would allow her to focus her payments on reducing her principal balance, rather than paying interest. Additionally, it would give her more time to find a new job with higher income, so she can begin paying off her balance more quickly. Other factors that might be important to her include the annual fee and APR, as well as any rewards or cashback programs that come with the card.

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The most popular method for resolving shareholder agreement disputes is arbitration. Shareholder agreements contain arbitration clauses to settle disputes and are governed by Indian law.

Because only the corporation, not a particular shareholder, may initiate a lawsuit against a negligent director, a shareholder may attempt to file what is known as a "derivative claim" against the corporation. It is essential that the accusations are directed towards the company's executives.

Allegations made against the majority of the directors by a minority shareholder who is not a director are at the heart of the majority of shareholder disputes. If the directors' acts go against their fiduciary duties, the litigation is frequently filed.

By a majority vote at board meetings or by a shareholders' meeting based on share ownership, the majority of less significant issues can typically be resolved. Yet most often, there are two owners who both have an equal ownership stake in the business, which might result in a deadlock if neither side is willing to give ground.

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When the CPU compares two values, such as seeing if one number is greater than another, that is known as a conditional operation. Here, the blank space is filled by the word conditional.

A conditional operation is a process that uses conditional logic to test a particular condition, which is either true or false, and then executes some specified operation based on the outcome of the test.

For example, a simple conditional operation could test whether a given number is greater than 10, and if it is, then the operation could perform some specified action, such as adding 5 to the number or printing a message to the screen.

In computer programming, conditional operations are frequently used in decision-making procedures, such as if-else statements or switch statements, to determine which code block to execute based on a particular condition.

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The correct answer to this question is actual overhead is more than applied overhead.

When overhead is underapplied, it means that the actual amount of overhead costs incurred during a period is greater than the amount of overhead that was applied to the products or services during that same period. This can occur when there are unexpected increases in the cost of overhead items, such as utilities, rent, or supplies. When this happens, the cost of goods sold will be understated, which can lead to an overstatement of gross profit and net income.

In contrast, when overhead is overapplied, it means that the actual amount of overhead costs incurred during a period is less than the amount of overhead that was applied to the products or services during that same period. This can occur when there are unexpected decreases in the cost of overhead items, or when production is more efficient than expected. When this happens, the cost of goods sold will be overstated, which can lead to an understatement of gross profit and net income.

In summary, overhead is underapplied if actual overhead is more than applied overhead.

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The Earnings per share for the year 2022 is $3.00.

The formula for Earnings per share is:

EPS = (earnings after taxes - preferred dividends) / total shares outstanding

Assumptions:   There are no preferred dividends.

Allen Lumber Company had earnings after taxes of $600,000 in the year 2021 with 200,000 shares outstanding. On October 1,2022, the firm issued 40,000 new shares. The company took the proceeds from these new shares as well as other operating improvements and earnings after taxes improved by 20% in 2022.

Calculation:

Step 1: Determine the new earnings after taxes for 2022.

New earnings after taxes = Old earnings after taxes + (Proceeds from new shares + Operating improvements) * 20%

New earnings after taxes = $600,000 + ($0.00 + $0.00) * 20%

New earnings after taxes = $720,000

Step 2: Determine the total shares outstanding for the year 2022.

Total shares outstanding = Old shares outstanding + New shares issued

Total shares outstanding = 200,000 + 40,000

Total shares outstanding = 240,000

Step 3: Determine the Earnings per share for the year 2022.

EPS = (earnings after taxes - preferred dividends) / total shares outstanding

EPS = ($720,000 - $0.00) / 240,000EPS = $3.00

Therefore, the Earnings per share for the year 2022 is $3.00.

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Answer : The implied one-year interest rate two years from now is -1.31 percent.

Looking at the Treasury yield curve you see that the two-year Treasury bond is selling at an interest rate of 3.84 percent and the three-year Treasury bond sells at a rate of 3.97 percent. Two-year and three-year Treasury bonds with interest rates of 3.84 percent and 3.97 percent, respectively, are used in this problem.

The implied one-year interest rate two years from now can be calculated using the equation that relates the two rates. The equation is as follows : One plus the yield on a two-year bond equals (one plus the yield on a one-year bond) multiplied by (one plus the implied yield on a one-year bond two years from now). (1 + r2)^2 = (1 + r1) * (1 + r1 2 )The formula is algebraically rearranged and simplified as follows : r1 2 = [(1 + r2) / (1 + r1)] - 1.

Plugging in the appropriate values, the implied one-year interest rate two years from now is: r1 2 = [(1 + 0.0384) / (1 + 0.0397)] - 1r1 2 = - 0.01306, or -1.31 percent. Therefore, the implied one-year interest rate two years from now is -1.31 percent.

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I do not agree with the president views as the inventory management of the company cannot be deemed satisfactory based solely on inventory levels.

As the annual sales have increased by a factor of 10 over the last five years, and the system-wide inventories have also increased by a factor of 6 over that period, the president of the company believes that the company has managed its inventories well. However, it is uncertain if the President's analysis of inventory management is accurate or not because the changes in demand were not factored in and all other factors remained constant.

The Economic Order Quantity (EOQ) is the optimum amount of inventory to be ordered by the company to reduce total costs. The EOQ method can be used to compute the optimum number of units to order when sales demand fluctuates, and the setup and carrying expenses are constant.

EOQ formula is given by:

EOQ= √(2DS/H)

where D = annual demand, S = cost of placing an order, H = cost of holding one unit of inventory

Since there is no change in the setup cost and holding cost over this period and the company uses the EOQ method to place orders, it is reasonable to assume that the EOQ remains constant over this period. Now let's calculate the annual order quantity of the company using the EOQ formula:

EOQ= √(2DS/H) = √(2 × 2013 × 10/H) = √(40260/H)

The annual order quantity is inversely proportional to the holding cost H, which means that if the holding cost H increases, the annual order quantity will decrease, and vice versa.

Thus, the increase in the company's annual sales demand will result in an increase in the EOQ of the company, leading to an increase in the inventory level.

Hence, the inventory management of the company cannot be deemed satisfactory based solely on inventory levels. Thus, we cannot agree with the president of the company's view.

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Peloton is a company that sells fitness equipment and provides interactive fitness classes. The company's system and leadership can be analyzed using the formulation and implementation model.

The formulation and implementation model is a strategic management framework that aids in the development and execution of a company's strategies. This strategic management framework includes two stages: formulation and implementation. Formulation is the stage at which a company develops its strategies. Implementation, on the other hand, is the stage at which a company executes its strategies.

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When putting together an investment portfolio, remember to take grandmother's requirements and objectives into account. Therefore the investment option are stocks and bonds, mutual funds, cash equivalent. These investment are low risk investment.

It is important to consider your grandmother's needs and goals when creating an investment portfolio. For instance, since she is nearing retirement age, it may be wise to focus more on low-risk investments. This will help to ensure that her money is safe and grows steadily over time.

One option would be to invest in stocks and bonds. Stocks offer the potential for high returns, but also come with a certain degree of risk. Bonds, on the other hand, are much less volatile and are typically a safer option.

Another option would be to invest in mutual funds. These investments are professionally managed, meaning that they are a good option for those who may not have a lot of experience with investing. Additionally, mutual funds can often be tailored to the investor's individual needs, making them a good option for those nearing retirement.

Finally, it would be wise to consider investing in cash equivalents, such as certificates of deposit (CDs). These investments have low risk and typically provide consistent returns, making them a good choice for those who need more predictable returns.

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The total number of exemptions the couple can claim on their last year's tax return if they file with the married filing jointly status would be three. Option D

For tax purposes, an exemption is a deduction from an individual's taxable income for themselves and their dependents. In the given scenario, the household consists of a married couple and their two-year-old daughter. The couple can claim one exemption for themselves and one exemption for their daughter, as she is their dependent and has no income.

Therefore, the total number of exemptions the couple can claim on their last year's tax return if they file with the married filing jointly status would be three (one for each spouse and one for their dependent daughter).

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If a copyright is wilfully infringed, the owner may ask for and receive the remedy of injunction. Therefore, the correct answer is option c.

An injunction is a court order that requires the infringing party to stop the infringing activity. This is a common remedy in copyright infringement cases, as it can prevent further harm to the copyright owner.

Rescission and restitution (option a) are remedies that may be available in contract disputes, but they are not typically used in copyright infringement cases.

Punitive damages (option b) are also not typically awarded in copyright infringement cases, as they are reserved for cases involving particularly egregious conduct.

Therefore, options a, b, and e are not correct.

Hence Option c is correct.

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Stakeholders refer to people or entities that have an interest or involvement in a company's success. They can influence a company's success in several ways, such as through investments, partnerships, and consumer loyalty.

Stakeholders can be of various types, including shareholders, employees, suppliers, customers, and government bodies. They all have different priorities and interests, which means that they can exert different levels of influence on a company's success. Shareholders, for example, have a significant influence on a company's success as they own a portion of the company and can make decisions regarding company operations. Similarly, employees can influence the company's success by their dedication, productivity, and morale levels, which ultimately impact the company's performance in the market.

Suppliers can also have an impact on a company's success by providing quality goods or services, timely deliveries, and cost-effective prices. Customers are another essential stakeholder as their loyalty can determine a company's success or failure. If customers are satisfied with a company's products or services, they are more likely to remain loyal and recommend it to others.On the other hand, government bodies can regulate a company's operations, impacting its financial stability and reputation. Therefore, companies must consider the interests of all stakeholders and maintain a balance to achieve success in the market.

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The Bid price indicates how much the market maker will pay per share to buy a stated quantity of the stock, while the Ask price indicates the price per share at which it will sell the same stock.

In the financial markets, the Bid price and Ask price are the two prices that are most commonly quoted for a security, such as a stock or a bond. The Bid price is the highest price that a buyer is willing to pay for the security, while the Ask price is the lowest price that a seller is willing to accept for the security.

Therefore, the correct answer is "Bid; Ask". The difference between the Bid and Ask price is called the Spread.

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The ending inventory under FIFO is 82 units at a total cost of $934, and the cost of goods sold is $3,164.

The ending inventory under LIFO is 82 units at a total cost of $1,074, and the cost of goods sold is $3,024.

Using FIFO:

To calculate the ending inventory and cost of goods sold using FIFO (first-in, first-out) method, we assume that the units sold during the year are taken from the beginning inventory, followed by the units purchased on March 12, and finally, the units purchased on September 17.

The units available for sale during the year are 108 (beginning inventory) + 84 (March 12 purchase) + 54 (September 17 purchase) = 246 units.

The cost of goods available for sale during the year is the sum of the total cost of the beginning inventory and the two purchases, which is $2,268 + $1,344 + $486 = $4,098.

To calculate the cost of goods sold, we need to determine the cost of the units sold during the year. We know that 164 units were sold during the year, so the remaining 82 units are the ending inventory.

Using FIFO, the cost of the ending inventory is calculated as follows:

54 units at $9 = $486

28 units at $16 (remaining units from March 12 purchase) = $448

Total cost of ending inventory = $934

The cost of goods sold is calculated as the cost of goods available for sale minus the cost of the ending inventory, which is $4,098 - $934 = $3,164.

Therefore, the ending inventory under FIFO is 82 units at a total cost of $934, and the cost of goods sold is $3,164.

Using LIFO:

To calculate the ending inventory and cost of goods sold using LIFO (last-in, first-out) method, we assume that the units sold during the year are taken from the most recent purchases first, followed by the March 12 purchase, and finally, the beginning inventory.

The units available for sale during the year are the same as in the FIFO method, which is 246 units.

The cost of goods available for sale during the year is also the same as in the FIFO method, which is $4,098.

To calculate the cost of goods sold, we need to determine the cost of the units sold during the year. We know that 164 units were sold during the year, so the remaining 82 units are the ending inventory.

Using LIFO, the cost of the ending inventory is calculated as follows:

54 units at $9 = $486

28 units at $21 (remaining units from beginning inventory) = $588

Total cost of ending inventory = $1,074

The cost of goods sold is calculated as the cost of goods available for sale minus the cost of the ending inventory, which is $4,098 - $1,074 = $3,024.

Therefore, the ending inventory under LIFO is 82 units at a total cost of $1,074, and the cost of goods sold is $3,024.

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The statement "When overhead applied exceeds actual overhead cost, overhead is said to be underapplied" is true because underapplied overhead occurs when the actual overhead cost is greater than the overhead allocated to products.

Overhead is the indirect costs that are incurred during the production process. The cost of overhead is that it cannot be directly charged to a particular product, department, or project. Overhead includes costs such as rent, utilities, and salaries for management staff, as well as other costs that are necessary for the production process to function smoothly.

The allocation of overhead is necessary in order to calculate the cost of each unit of product. The overhead rate is determined by dividing the total overhead cost by the number of units produced. The rate is then used to allocate overhead to each unit produced.

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Expected return for Stock A = 0.20*(-0.25) + 0.55*(0.09) + 0.25*(0.14) = 0.085, Expected return for Stock B = 0.20*(0.01) + 0.55*(0.15) + 0.25*(0.38) = 0.198.

Stock, also known as equities, are financial instruments that represent ownership in a company. They are issued by companies to raise capital and can be traded on stock exchanges. They grant the holder certain rights, such as voting at shareholders meetings, receiving dividends if declared, and the right to receive a portion of the company’s assets if it is liquidated. Investors purchase stock as a way to participate in the growth of a company while also earning returns through dividends or capital gains.

Standard Deviation for Stock is 0.094, Standard Deviation for Stock B is 0.138.

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The answer to the question is that the bond's coupon interest rate is approximately 6%.

To calculate the coupon interest rate of the bonds, we first need to understand the relationship between the bond's price, its par value, its yield to maturity, and its coupon rate.

The coupon rate of a bond is the annual interest rate that the bond pays. It is based on the bond's par value, which in this case is $1,000.

The yield to maturity (YTM) is the total return anticipated on a bond if it is held until it matures. It takes into account the bond's current market price, its par value, the coupon interest paid, and the time left until maturity.

The price of a bond can be calculated using the formula:

Price = (Coupon payment / (1 + YTM/2)^n) + (Coupon payment / (1 + YTM/2)^(n-1)) + ... + (Coupon payment + Par value) / (1 + YTM/2)^n

where n is the number of semiannual periods.

With the given values, we can plug them into the formula and solve for the coupon payment, which will give us the coupon rate since we know the par value. Alternatively, we can iterate through different coupon rates until we find one that matches the given values.

Using the first method, we can set up the equation as follows:

[tex]810.71 = 50 / (1 + 0.05)^1 + 50 / (1 + 0.05)^2 + ... + 50 / (1 + 0.05)^60 + 1000 / (1 + 0.05)^60[/tex]

Simplifying this equation gives us:

[tex]810.71 = 50 * (1 - 1 / (1 + 0.05)^60) / 0.05 + 1000 / (1 + 0.05)^60[/tex]

Solving for the unknown variable of 0.05 (which represents the semiannual interest rate) gives us the answer of approximately 6.14%.

Therefore, the answer to the question is that the bond's coupon interest rate is approximately 6%.

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