Speed Of One-half Of A's, But The Fixed Cost Is Only $51,000. The Variable Cost Will Be Higher, At $17 (2024)

Business High School

Answers

Answer 1

a) The crossover point for the two machines is 7,000 units .

b) Machine A is preferable at a level of production below 3 units.

c) Machine B is preferable at a level of production above 2 units.

a) The crossover point, also known as the point of indifference, is the level of production at which the costs of two machines are equal. To find the crossover point, we need to set the total cost of machine A equal to the total cost of machine B and solve for the level of production.

For machine A, the fixed cost is $100,000 and the variable cost is $10 per unit. For machine B, the fixed cost is $51,000 and the variable cost is $17 per unit.

Let's assume the crossover point is x units.

For machine A, the total cost is given by:
Total Cost A = Fixed Cost A + (Variable Cost A * x)
Total Cost A = $100,000 + ($10 * x)

For machine B, the total cost is given by:
Total Cost B = Fixed Cost B + (Variable Cost B * x)
Total Cost B = $51,000 + ($17 * x)

Setting these two equations equal to each other, we can solve for x:
$100,000 + ($10 * x) = $51,000 + ($17 * x)
$49,000 = ($17 * x) - ($10 * x)
$49,000 = $7 * x
x = $49,000 / $7
x = 7,000 units

Therefore, the crossover point for the two machines is 7,000 units (rounded to the nearest whole number).

b) To determine the range of units for which machine A is preferable, we need to compare the total cost of machine A to the total cost of machine B for different levels of production.

Let's assume the level of production for machine A is y units.

For machine A, the total cost is given by:
Total Cost A = $100,000 + ($10 * y)

For machine B, the total cost is given by:
Total Cost B = $51,000 + ($17 * y)

To find the range of units for which machine A is preferable, we need to compare the total costs for different levels of production.

Let's calculate the total costs for different levels of production, starting from 0 units:

Total Cost A for 0 units = $100,000 + ($10 * 0) = $100,000
Total Cost B for 0 units = $51,000 + ($17 * 0) = $51,000

Total Cost A for 1 unit = $100,000 + ($10 * 1) = $100,010
Total Cost B for 1 unit = $51,000 + ($17 * 1) = $51,017

Total Cost A for 2 units = $100,000 + ($10 * 2) = $100,020
Total Cost B for 2 units = $51,000 + ($17 * 2) = $51,034

We can continue this process and compare the total costs for different levels of production until we find the point where machine A becomes preferable.

From the calculations above, we can see that machine A is preferable when the level of production is below 3 units. Therefore, machine A is preferable at a level of production below 3 units.

c) To determine the range of units for which machine B is preferable, we need to compare the total cost of machine B to the total cost of machine A for different levels of production.

Let's assume the level of production for machine B is z units.

For machine B, the total cost is given by:
Total Cost B = $51,000 + ($17 * z)

For machine A, the total cost is given by:
Total Cost A = $100,000 + ($10 * z)

To find the range of units for which machine B is preferable, we need to compare the total costs for different levels of production.

Let's calculate the total costs for different levels of production, starting from 0 units:

Total Cost B for 0 units = $51,000 + ($17 * 0) = $51,000
Total Cost A for 0 units = $100,000 + ($10 * 0) = $100,000

Total Cost B for 1 unit = $51,000 + ($17 * 1) = $51,017
Total Cost A for 1 unit = $100,000 + ($10 * 1) = $100,010

Total Cost B for 2 units = $51,000 + ($17 * 2) = $51,034
Total Cost A for 2 units = $100,000 + ($10 * 2) = $100,020

We can continue this process and compare the total costs for different levels of production until we find the point where machine B becomes preferable.

From the calculations above, we can see that machine B is preferable when the level of production is above 2 units. Therefore, machine B is preferable at a level of production above 2 units.

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Related Questions

7. Suppose a project that requires an amount of $100,000 today and returns $25,000 at the end of the first year; $35,000 at the end of the second year and $55,000 at the end of the third year? Assume a discount rate (or interest rate) of 8.0%. 7.1 Using the formula from question 5, determine the present value of the stream of the future payments.

7.2 Using the formula from question 6, determine the net present value of the stream of the future payments. Will you invest in this project? Explain your answer!

Answers

the decision to invest in a project should consider additional factors such as strategic importance, risk assessment, and potential intangible benefits. A negative NPV does not necessarily mean the project should be rejected outright, as it depends on the specific circumstances and the organization's goals and risk tolerance.

7.1 To determine the present value of the stream of future payments, we need to discount each payment back to its present value using the formula from question 5:

Present Value = Future Value / (1 + Discount Rate)^n

where n is the number of years from the present.

Calculating the present value of each payment:

PV1 = $25,000 / (1 + 0.08)^1 = $23,148.15

PV2 = $35,000 / (1 + 0.08)^2 = $30,381.94

PV3 = $55,000 / (1 + 0.08)^3 = $45,147.58

7.1 The present value of the stream of future payments is the sum of these individual present values:

PV Total = PV1 + PV2 + PV3 = $23,148.15 + $30,381.94 + $45,147.58 = $98,677.67

Therefore, the present value of the stream of future payments is approximately $98,677.67.

7.2 The net present value (NPV) of the stream of future payments can be calculated by subtracting the initial investment from the present value of the future payments:

NPV = PV Total - Initial Investment

NPV = $98,677.67 - $100,000 = -$1,322.33

Since the NPV is negative (-$1,322.33), it indicates that the project's present value of future cash flows is less than the initial investment. Therefore, based solely on the net present value, it would not be advisable to invest in this project. The project's future cash flows do not exceed the initial investment, resulting in a negative NPV.

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A monopolist can set prices and quantities without fear of being undercut by competitors because

A) low costs
B) the competition
C) advertising
D) barriers to entry

Answers

A monopolist can set prices and quantities without fear of being undercut by competitors because of (D) barriers to entry.

Barriers to entry refer to obstacles or conditions that make it difficult for new firms to enter a market and compete with existing firms. In the case of a monopolist, these barriers prevent or limit the entry of potential competitors, allowing the monopolist to have control over prices and quantities without the fear of being undercut.

Barriers to entry can take various forms, such as high capital requirements, exclusive access to key resources or technology, legal restrictions, economies of scale, or strong brand loyalty. These barriers create significant advantages for the monopolist, making it difficult for new entrants to establish themselves and compete effectively.

Without competition from other firms, the monopolist has the power to set prices and quantities based on their own considerations, such as maximizing profits or market dominance. This lack of competition can lead to higher prices and reduced consumer welfare. Hence, the reason a monopolist can set prices and quantities without fear of being undercut by competitors is due to (D) barriers to entry, which restrict the entry of new firms into the market and limit competition.

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Project name: New App for Elementary school students in Africa
country
The project is behind schedule and over budget. Conduct a
project status meeting using a status report form, and provide a
projec

Answers

To conduct a project status meeting using a status report form, you need to prepare the form, conduct the meeting, and provide a project answer that addresses the issues and risks affecting the project progress. The project answer should include a plan to get the project back on track and within budget.

Project name: New App for Elementary school students in Africa country The project is behind schedule and over budget.

To conduct a project status meeting using a status report form, you can follow these steps:

1. Prepare the status report form: Before conducting the meeting, you should prepare a status report form to gather information about the current project status. The form should include details about the project timeline, budget, resources, risks, issues, and milestones.

2. Conduct the meeting: Once the status report form is prepared, you can conduct the project status meeting with the project team. During the meeting, you should review the status report form and discuss the project status with the team members. You should also identify any issues or risks that are affecting the project progress and develop an action plan to address them.

3. Provide the project answer: Based on the information gathered during the project status meeting, you should provide a project answer that addresses the issues and risks that are affecting the project progress. The answer should include a plan to get the project back on track and within budget. The plan should outline the steps to be taken to address the issues and risks, as well as the timeline and resources required to complete the project.

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a focus group is comprised of the company’s marketing team members of the company’s target market the company’s leaders and decision makers the company’s partners and shareholders

Answers

A focus group is typically comprised of individuals who represent the company's target market, including potential customers, as well as the company's marketing team, leaders and decision makers, and partners and shareholders.

The main purpose of including these different stakeholders in a focus group is to gather diverse perspectives and insights related to a particular product, service, or marketing campaign. The target market participants provide valuable feedback and opinions based on their experiences and preferences, helping the company understand customer needs and preferences better.

The marketing team members contribute their expertise and knowledge in interpreting the findings and identifying potential marketing strategies. The company's leaders and decision makers provide strategic guidance and make informed decisions based on the insights gained from the focus group.

Partners and shareholders may also participate to provide their perspective and ensure alignment with the company's overall goals and objectives.By involving representatives from various stakeholder groups, the focus group enables the company to obtain a comprehensive understanding of the market and make informed decisions.

The insights gathered from the focus group can help shape product development, marketing strategies, and overall business decisions. The diverse perspectives and expertise contribute to a more well-rounded and effective approach in meeting customer needs and achieving business objectives.

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number of years served in senate is a group of answer choices nominal measure ordinal measure ratio measure

Answers

The number of years served in the Senate is an ordinal measure. In the case of the number of years served in the Senate, it represents a ranking or ordering of individuals based on their duration of service.

An ordinal measure is a type of measurement scale that categorizes or ranks data in a specific order without assigning precise numerical values or equal intervals between the categories. In the case of the number of years served in the Senate, it represents a ranking or ordering of individuals based on their duration of service. For example, a senator with 10 years of service is considered to have more experience or a higher rank than a senator with 5 years of service.

Unlike a nominal measure, which simply classifies data into distinct categories without any inherent order, or a ratio measure, which includes a meaningful zero point and allows for mathematical operations, the number of years served in the Senate does not possess those characteristics. It cannot be treated as a ratio measure because it does not have a true zero point, such as a complete absence of service. Additionally, the measurement does not provide precise numerical values that can be used for mathematical calculations, distinguishing it from an interval or ratio measure. Hence, the number of years served in the Senate is best classified as an ordinal measure.

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Users of accounting information can be broadly described as internal or external users. List two internal and two external users of accounting information and explain why they need the accounting information. (8 marks) b) Briefly describe any four elements of financial statements. (8 marks) c) Give an example of your own and explain what is meant by the accrual's basis of accounting. d) Explain the going concern assumption.

Answers

a) Internal users of accounting information include management and employees within an organization. External users of accounting information consist of individuals or entities outside the organization.

b) The four elements of financial statements are Assets, Liabilities, Equity and Revenue.

c) An example of the accrual basis of accounting is a company recognizing revenue when it provides goods or services to a customer, regardless of when the payment is received.

d) The going concern assumption is an accounting principle that assumes a company will continue to operate indefinitely, with no intention of liquidation or ceasing operations in the foreseeable future.

a) Internal users of accounting information include management and employees within an organization. Management uses accounting information to make strategic decisions, evaluate the financial health of the company, and set performance targets.

They rely on financial statements, cost reports, and budgeting information to assess profitability, monitor cash flows, and allocate resources effectively. Employees, on the other hand, may use accounting information to understand the financial performance of the company and evaluate their own performance or compensation.

External users of accounting information consist of individuals or entities outside the organization. Two examples of external users are investors/shareholders and creditors. Investors use accounting information to assess the financial position and performance of a company, helping them make informed investment decisions.

They rely on financial statements, such as the balance sheet and income statement, to evaluate profitability, liquidity, and the overall financial stability of the company. Creditors, such as banks or suppliers, utilize accounting information to assess the creditworthiness of a company, helping them determine the risk of lending money or extending credit.

b) The four elements of financial statements are:

1. Assets: Assets represent economic resources owned or controlled by a company that have future economic benefits. They can include cash, accounts receivable, inventory, property, plant, and equipment. Assets are recorded on the balance sheet and provide information about a company's financial position.

2. Liabilities: Liabilities are obligations or debts owed by a company to external parties. They can include accounts payable, loans, and accrued expenses. Liabilities are also recorded on the balance sheet and reflect the company's financial obligations.

3. Equity: Equity, also known as shareholders' equity or net worth, represents the residual interest in the assets of a company after deducting liabilities. It reflects the ownership interest of shareholders in the company. Equity includes contributed capital (e.g., common stock) and retained earnings, which are profits reinvested in the business.

4. Revenue: Revenue refers to the inflow of assets or settlements of liabilities resulting from the core operating activities of a company. It represents the total amount earned by the company from the sale of goods, rendering services, or other activities. Revenue is recognized when it is realized or realizable and earned.

c) An example of the accrual basis of accounting is a company recognizing revenue when it provides goods or services to a customer, regardless of when the payment is received. For instance, suppose a consulting firm completes a project for a client in June but expects to receive payment in July.

According to the accrual basis, the firm will record the revenue in June when the services are provided, even though the payment will be received later.

This method aims to match revenues with their associated expenses, providing a more accurate representation of a company's financial performance and ensuring the recognition of economic events when they occur, rather than when cash is received or paid.

d) The going concern assumption is an accounting principle that assumes a company will continue to operate indefinitely, with no intention of liquidation or ceasing operations in the foreseeable future.

It implies that the company will be able to fulfill its obligations, meet its liabilities, and continue its normal course of business. The going concern assumption underlies the preparation of financial statements, as they are typically prepared on the basis that the company will continue to operate as a viable entity.

This assumption allows financial statements to reflect the long-term value of assets, liabilities, and equity and provides stakeholders with relevant information for decision-making and assessment of the company's financial health.

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connect the resource-based view to functional-level
strategies

Answers

The resource-based view (RBV) is a theory that suggests that a firm's competitive advantage comes from its unique resources and capabilities.

It emphasizes that firms should focus on leveraging their resources effectively to achieve a sustainable competitive advantage. When connecting the resource-based view to functional-level strategies, it means that each functional area within a firm, such as marketing, operations, or finance, should align their strategies with the firm's unique resources and capabilities.

Here is a step-by-step explanation of how the resource-based view can be connected to functional-level strategies:

1. Identify the firm's key resources and capabilities: The first step is to identify the resources and capabilities that give the firm a competitive advantage. These can be tangible resources like physical assets or intangible resources like patents, brand reputation, or human capital.

2. Analyze the functional areas: Once the key resources and capabilities are identified, analyze each functional area within the firm. Understand how each function contributes to leveraging these resources and capabilities to create value for the firm.

3. Align functional strategies with resources and capabilities: Each functional area should develop strategies that align with the firm's unique resources and capabilities. For example, the marketing function can focus on promoting the firm's unique features and benefits derived from its resources. The operations function can optimize processes to fully utilize the firm's resources efficiently.

4. Foster collaboration and coordination: It is important to foster collaboration and coordination between different functional areas. This ensures that strategies are aligned and resources are utilized effectively across the organization. For example, the marketing and operations functions need to work together to ensure that the firm's unique features are communicated effectively to customers and delivered efficiently.

In conclusion, connecting the resource-based view to functional-level strategies involves identifying key resources and capabilities, aligning functional strategies with these resources, and fostering collaboration and coordination between functional areas. This approach helps firms leverage their unique resources to gain a competitive advantage in the market.

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On December 31, 2019, Krug Company prepared adjusting entries that included the following items:

Depreciation expense: $46,000;

Accrued sales revenue: $44,000;

Accrued expenses: $16,000;

Used insurance: $6,000; the insurance was initially recorded as prepaid.

Rent revenue earned: $4,000; the rent was initially prepaid by the tenant and credited to unearned rent revenue.

If Krug Company reported total liabilities of $240,000 prior to adjusting entries, how much are Krug's total liabilities after the adjusting entries?

Answers

After the adjusting entries, Krug Company's total liabilities amount to $252,000, considering the effects of accrued expenses and rent revenue earned.

After the adjusting entries, Krug Company's total liabilities can be calculated by considering the effects of depreciation expense, accrued sales revenue, accrued expenses, used insurance, and rent revenue earned. Let's calculate the impact of each adjusting entry on Krug Company's total liabilities:

Depreciation expense: This entry reduces the value of assets and does not directly affect liabilities. Therefore, total liabilities remain unchanged.

Accrued sales revenue: This entry increases the accounts receivable (an asset) and revenue (an equity account), but it does not impact liabilities.

Accrued expenses: This entry increases the accounts payable (a liability), resulting in an increase in total liabilities.

Used insurance: This entry reduces the prepaid insurance (an asset) and increases the insurance expense (an equity account). It does not directly impact liabilities.

Rent revenue earned: This entry reduces the unearned rent revenue (a liability) and increases the rental revenue (an equity account), resulting in a decrease in total liabilities.

To calculate the total liabilities after adjusting entries, we need to consider the impact of accrued expenses and rent revenue earned. Assuming there are no other adjustments affecting liabilities, the total liabilities after adjusting entries would be $240,000 + $16,000 (accrued expenses) - $4,000 (rent revenue earned) = $252,000. Hence, Krug Company's total liabilities after the adjusting entries amount to $252,000.

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If you have a data set that consists of the following three values 1, 2, and 3,
which of the following statements are true:
a) The sample standard deviation is equal to sample variance
b) The sample standard deviation equals the sample average.
c) The sample mean is rigid
d) The standard deviation will be the best dispersion method
e) The Range of the data is 3​

Answers

The correct statements are:

a) The sample standard deviation is equal to the sample variance.

d) The standard deviation will be the best dispersion method.

e) The range of the data is 3.

The correct statements are:

a) The sample standard deviation is equal to the sample variance. This is true because the sample standard deviation is the square root of the sample variance.

d) The standard deviation will be the best dispersion method. This is true because the standard deviation provides a measure of how spread out the data points are from the mean. It takes into account the individual differences between the data points and is a commonly used measure of dispersion.

e) The range of the data is 3. This is true because the range is the difference between the maximum and minimum values in the data set. In this case, the maximum value is 3 and the minimum value is 1, so the range is 3 - 1 = 2.

The other statements (b and c) are not true:

b) The sample standard deviation does not equal the sample average. The sample standard deviation measures the dispersion or spread of the data, while the sample average (mean) is a measure of central tendency.

c) The sample mean is not rigid. The sample mean is a measure of the central location of the data points and can change if the data set is modified or new data points are added.

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When firms engage in FDI by buying a supplier or customer, they
are engaged in what?
A} Product life cycle expansion
B} Vertical integration
C} Greenfield investment
D} Horizontal integration

Answers

When firms engage in Foreign Direct Investment (FDI) by buying a supplier or customer, they are engaged in option B) Vertical integration. Vertical integration refers to the expansion of a company's operations by acquiring or merging with suppliers or customers along the supply chain.

This strategy allows firms to gain greater control over the production process, improve efficiency, and enhance their competitive position in the market.

Vertical integration is a strategy where a company expands its operations by acquiring or merging with suppliers or customers along the supply chain. This integration can be either backward integration (acquiring suppliers) or forward integration (acquiring customers).

When firms engage in FDI by buying a supplier or customer, they are essentially engaging in vertical integration. By integrating vertically, companies seek to gain greater control over the production process, reduce dependence on external entities, and capture a larger portion of the value chain.

For example, if a company acquires a supplier, it ensures a stable and reliable supply of raw materials or components. This integration can help streamline operations, reduce costs, and improve efficiency by eliminating intermediaries and potential bottlenecks in the supply chain.

Similarly, if a company acquires a customer, it secures a direct market for its products or services. This integration allows the firm to have better control over the distribution channels, gain insights into customer preferences, and potentially capture a larger market share.

Vertical integration can provide several benefits, such as improved coordination, economies of scale, enhanced bargaining power, and greater control over quality and delivery. However, it also presents challenges, including managing a more complex organization, potential conflicts of interest, and the need for significant investments.

Therefore, when firms engage in FDI by buying a supplier or customer, they are pursuing a strategy of vertical integration to strengthen their position in the market and enhance their competitive advantage.

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"Consider a CAPM economy. The risk free rate (rf ) is 3% and the
expected market return (rM) is 11%. Compute the expected return of
the following stocks or portfolios.

Answers

(a) Stock 1: Expected return = 9.4%

(b) Stock 2: Expected return = 10.6%

(c) Portfolio 1: Expected return = 9.8%

(d) Portfolio 2: Expected return = 9.86%

In a CAPM economy with a risk-free rate of 3% and an expected market return of 11%, we will calculate the expected return for Stock 1, Stock 2, Portfolio 1, and Portfolio 2 using their respective beta coefficients and proportions.

(a) Stock 1: With a beta coefficient of 0.80, we can calculate the expected return using the CAPM formula:

Expected Return = 3% + 0.80 × (11% - 3%) = 9.4%

(b) Stock 2: With a beta coefficient of 1.20, we can calculate the expected return:

Expected Return = 3% + 1.20 × (11% - 3%) = 10.6%

(c) Portfolio 1: Given the proportions of 40% invested in Stock 1, 40% invested in Stock 2, and 20% in the risk-free asset, we can calculate the weighted average of the expected returns:

Expected Return = 40% × Expected Return of Stock 1 + 40% × Expected Return of Stock 2 + 20% × Risk-Free Rate

Substituting the values, we get:

Expected Return = 40% × 9.4% + 40% × 10.6% + 20% × 3% = 9.8%

(d) Portfolio 2: Given the proportions of 60% invested in Stock 1, 70% invested in Stock 2, and -30% in the risk-free asset, we can calculate the expected return using a similar approach:

Expected Return = 60% × Expected Return of Stock 1 + 70% × Expected Return of Stock 2 + (-30%) × Risk-Free Rate

Substituting the values, we get:

Expected Return = 60% × 9.4% + 70% × 10.6% + (-30%) × 3% = 9.86%

Hence, by applying the CAPM formula and considering the given beta coefficients and proportions, we have calculated the expected return for Stock 1, Stock 2, Portfolio 1, and Portfolio 2.

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Here is the complete question:

Consider a CAPM economy. The risk free rate (rf ) is 3% and the expected market return (rM) is 11%. Compute the expected return of the following stocks or portfolios.

(a) Stock 1: β = 0.80.

(b) Stock 2: β = 1.20.

(c) Portfolio 1: The proportions invested in stock 1, stock 2, and risk free asset are 40%, 40%, and 20%, respectively.

(d) Portfolio 2: The proportions invested in stock 1, stock 2, and risk free asset are 60%, 70%, and -30%, respectively.

GDP is a strong measure of the health of the economy, and it’s among the most important and widely reported economic data. · In your own words, summarize nominal GDP. ·

Discuss the limitations of gross domestic product (GDP) as a measurement tool. ·

What is the difference between real and nominal GDP? ·

Locate an online news article that discusses impacts to GDP in some way. Summarize the article and explain its relation to/impact on GDP. ·

Cite your sources.

Answers

Nominal GDP is a measure of a country's economic output without adjusting for inflation. It represents the total value of goods and services produced within an economy at current market prices.

However, GDP has limitations as a measurement tool. It does not capture non-market activities, income distribution, and environmental factors.

Real GDP, on the other hand, adjusts for inflation and provides a more accurate measure of economic growth over time. An online news article can provide insights into the impacts on GDP. Citing sources is important for providing accurate and reliable information.

Nominal GDP is a measure of a country's economic output that does not account for inflation. It reflects the total value of goods and services produced within an economy at current market prices. It provides an indication of the size and scale of economic activity.

However, GDP has several limitations as a measurement tool. It fails to account for non-market activities, such as household work or volunteer work, which can contribute significantly to an economy.

GDP also does not consider income distribution, meaning it may not accurately reflect the well-being of all individuals within a country. Additionally, environmental factors and sustainability are not accounted for in GDP calculations.

Real GDP, on the other hand, adjusts for inflation by using constant prices to measure economic output. It provides a more accurate measure of economic growth over time by removing the impact of price changes.

To explore the impacts on GDP, it is beneficial to refer to online news articles. These articles can discuss various factors influencing GDP, such as government policies, global events, or changes in consumer behavior.

Summarizing an article and explaining its relation to GDP can provide insights into specific events or trends impacting the economy.

Citing sources is crucial to ensure the accuracy and credibility of the information presented. Reliable news sources, academic papers, or reputable economic institutions should be referenced to provide valid and verifiable information.

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Two plants with different capacities of boat production per month. Plant 1 can produce 60 boats per month, and Plant 2 capacity is 80 boats per month. The cost of producing each boat is $9000, $10,000 in Plants 1 and 2, respectively. The produced boats are transported from these two plants to two warehouses located in New York and Washington. The cost of transporting each boat from each plant to each warehouse has been provided in the table below:

From NY Washington

Plant 1 $60 $80

Plant 2 $50 $45

The demand of each warehouse is different. The warehouse in New York has a demand for 90 boats per month, and the demand of Washington warehouse is 70 boats per month. There is a penalty for unmet demand. The penalty of unmet demand is respectively $400 and $500 for New York to Washington warehouses. Formulate this problem using linear programing to find the optimal configuration. There is no need to solve your formulated problem to determine the optimal solution.

Answers

We have defined the decision variables, objective function, and constraints for the linear programming problem. The objective is to minimize the total cost while meeting the production capacity and demand constraints.

Solving this linear programming problem will provide the optimal configuration for transporting boats from the plants to the warehouses.

To formulate this problem using linear programming, we need to define the decision variables, the objective function, and the constraints.

Decision variables:
Let's define the decision variables as follows:
x1: Number of boats transported from Plant 1 to New York
x2: Number of boats transported from Plant 1 to Washington
y1: Number of boats transported from Plant 2 to New York
y2: Number of boats transported from Plant 2 to Washington

Objective function:
The objective is to minimize the total cost, which consists of production costs and transportation costs. The total cost can be calculated as:
Total cost = (9000 * x1) + (10000 * y1) + (60 * x1) + (80 * x2) + (50 * y1) + (45 * y2) + (400 * max(0, (90 - x1 - y1))) + (500 * max(0, (70 - x2 - y2)))

Constraints:
1. Production capacity constraint for Plant 1: x1 <= 60
2. Production capacity constraint for Plant 2: y1 <= 80
3. Demand constraint for New York warehouse: x1 + y1 >= 90
4. Demand constraint for Washington warehouse: x2 + y2 >= 70
5. Non-negativity constraint: x1, x2, y1, y2 >= 0

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problem-identification research involves going below the surface to identify the true underlying problem that the marketing manager is facing.

Answers

True, problem-identification research involves going below the surface to identify the true underlying problem that the marketing manager is facing.

Problem-identification research indeed involves going beyond surface-level observations to uncover the root or underlying problem that a marketing manager is facing. It aims to delve deeper and gain a comprehensive understanding of the situation, challenges, and potential causes behind the issue at hand. By conducting thorough research and analysis, the true problem can be identified, allowing for more effective problem-solving and decision-making.

Problem-identification research typically involves techniques such as market research, data analysis, surveys, interviews, and observation to gather relevant information and insights. It helps marketing managers avoid making assumptions or addressing superficial symptoms of a problem, leading to more accurate problem diagnosis and solution development. By uncovering the true underlying problem, managers can implement targeted strategies and initiatives to address the root cause, ultimately improving business outcomes and marketing effectiveness.

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A semi-annual bond has a Macaulay duration of 6.4 years. What
will be the percentage change in the bond price if the yield to
maturity increases from 6 percent to 6.2 percent?

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The percentage change in the bond price, when the yield to maturity increases from 6% to 6.2%, is approximately -0.012 or -1.2%. This means the bond price would decrease by 1.2%.

To calculate the percentage change in the bond price, we can use the modified duration formula and the percentage change in yield to maturity:

Percentage Change in Bond Price = (-1) * Modified Duration * Percentage Change in Yield

Given:

Macaulay duration = 6.4 years

Yield to maturity (YTM) = 6%

Yield change = 6.2% - 6% = 0.002

First, we need to convert the Macaulay duration to modified duration by dividing it by (1 + Yield to maturity):

Modified Duration = Macaulay Duration / (1 + Yield to Maturity)

= 6.4 / (1 + 0.06)

≈ 6.0189

Next, we can calculate the percentage change in bond price:

Percentage Change in Bond Price = (-1) * Modified Duration * Percentage Change in Yield

= (-1) * 6.0189 * 0.002

= -0.012

Therefore, the percentage change in the bond price, when the yield to maturity increases from 6% to 6.2%, is approximately -0.012 or -1.2%. This means the bond price would decrease by 1.2%.

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what musical instruments used in latin music come from african culture

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The musical instruments used in Latin music that come from African culture include conga drums, bongos, maracas, and the clave.

Latin music has been heavily influenced by African culture, particularly in terms of musical instruments. African slaves brought their rich musical traditions to the Americas, and these traditions merged with the indigenous and European musical styles to create the vibrant Latin music we know today.

Some of the musical instruments used in Latin music that have African origins include:

conga drums: The conga drums, also known as tumbadoras, are cylindrical drums that originated in Africa. They were traditionally made from hollowed-out tree trunks and covered with animal skins. Conga drums are an essential part of the rhythmic foundation in Latin music, providing the driving beats and syncopated patterns.bongos: Bongos are another percussion instrument with African roots. They consist of a pair of small, open-bottomed drums attached to each other. Bongos are played by striking the drumheads with the hands and fingers. They add a distinctive rhythmic texture to Latin music.maracas: Maracas are percussion instruments that originated in Africa and are commonly used in Latin music. They consist of hollow gourds or wooden shells filled with seeds, beans, or small stones. When shaken, maracas produce a shaking or rattling sound that adds a lively and percussive element to the music.clave: The clave is a percussion instrument that plays a fundamental role in Latin music. It consists of two wooden sticks struck together to create a rhythmic pattern. The clave sets the foundation for the rhythm and helps maintain the syncopated beats in Latin music.

These instruments have become integral to the rhythmic foundation of Latin music, adding a distinct African flavor to the genre.

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When performing vertical analysis of an income statement, which of the following is usually used as the base? A. net income B. gross sales C. gross margin D. net sales

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When performing a vertical analysis of an income statement, the most commonly used base is net sales.

Vertical analysis is a technique for financial analysis in which each entry for each of the three key categories of financial statements (balance sheet, income statement, and cash flow statement) is represented as a percentage of the total account. This type of analysis is frequently used to detect patterns in financial statements, compare financial results among firms, and forecast future performance.

Net sales are the sum of all sales (whether cash or credit) after accounting for sales returns and allowances. This line item is often used as a denominator in financial statement analyses such as vertical analysis. This is because it gives a better idea of the amount of revenue generated by the company's core business operations. As a result, when conducting a vertical analysis of an income statement, net sales are frequently used as the base for each expense account.

Hence option A is correct.

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piedmont computer company is considering purchasing two different types of servers. server a will generate net cash inflows of $25,000 per year and have a zero residual value. server a's estimated useful life is three years, and it costs $45,000 server b will generate net cash inflows of $25,000 in year 1, $15,000 in year 2, and $5,000 in year 3. server b

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Question:Piedmont Computer Company Is Considering Purchasing Two Different Types Of Servers. Server A Will Generate Net Cash Inflows Of $25,000 Per Year And Have A Zero Residual Value. Server A's Estimated Useful Life Is Three Years, And It Costs $45,000 Server B Will Generate Net Cash Inflows Of $25,000 In Year 1, $15,000 In Year 2, And $5,000 In Year 3. Server B

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Piedmont Computer Company is considering purchasing two different types of servers. Server A will generate net cash inflows of $25,000 per year and have a zero residual value. Server A's estimated useful life is three years, and it costs $45,000 Server B will generate net cash inflows of $25,000 in year 1, $15,000 in year 2, and $5,000 in year 3. Server B has a $5,000 residual value and an estimated useful life of three years. Server B also costs $45,000. Piedmont Computer Company's required rate of return is 14%. Read the requirements. Requirement 1. Calculate payback, accounting rate of return, net present value, and internal rate of return for both server investments. Use Microsoft Excel to calculate NPV and IRR. * Requirements Х Begin with the payback period for Server A. (Round your answer to one decimal place, X.X.) = Server A = Payback years 1. Calculate payback, accounting rate of return, net present value, and internal rate of return for both server investments. Use Microsoft Excel to calculate NPV and IRR 2. Assuming capital rationing applies, which server should Piedmont Computer Company invest in?

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Piedmont Computer Company is considering two servers, Server A and Server B, with different cash inflows and costs. Server A generates a constant cash inflow of $25,000 per year for three years and has no residual value.

Server B generates cash inflows of $25,000, $15,000, and $5,000 over three years, with a residual value of $5,000. The company's required rate of return is 14%. The analysis includes calculating the payback period, accounting rate of return, net present value (NPV), and internal rate of return (IRR) for both server investments. The decision on which server to choose will consider capital rationing.

For Server A, the payback period is calculated by dividing the initial cost ($45,000) by the annual cash inflow ($25,000), resulting in a payback period of 1.8 years. The accounting rate of return is not provided in the question and requires additional information to calculate. The NPV and IRR can be determined using Microsoft Excel.

The NPV formula takes into account the cash inflows, the required rate of return, and the time value of money. The IRR is the discount rate at which the NPV becomes zero. By calculating the NPV and IRR for both servers, Piedmont Computer Company can evaluate the profitability and viability of each investment.

Considering capital rationing, which restricts the amount of capital available for investments, the company will choose the server with the highest NPV or IRR, depending on their investment criteria.

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art 9 Absorption versus Variable Costing ( 20 points) Required 1. IN GOOD FORM, prepare Income statements under both the Absorption Costing and Variable Costing approaches. Assume all units produced are sold. 2. Answer about the impact of releasing fixed manufacturing costs from inventory shown below. Beau Company Income Statement Variable Costing Approach SALES $600,000 Requirement H2. A company uses the Absorption Costing method. Finished Goods Inventory decreases during the period. $2,000 of fixed manufacturing overhead was included in the inventory. This will result in Income under Absorption costing to be than Income under Variable Costing: A. SMALLER B The SAME C GREATER [put letter in above blank space]

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Preparing income statements under both the Absorption Costing and Variable Costing approaches, and determining the impact of releasing fixed manufacturing costs from inventory.

To prepare the income statements, you need to understand the difference between Absorption Costing and Variable Costing approaches. In Absorption Costing, both fixed and variable manufacturing costs are included in the cost of inventory. On the other hand, in Variable Costing, only variable manufacturing costs are included in the cost of inventory. To calculate the income under each approach, you can use the following formulas, Absorption Costing: Sales - Cost of Goods Sold (COGS) - Selling and Administrative Expenses = Income, Variable Costing: Sales - Variable Cost of Goods Sold (VCOGS) - Selling and Administrative Expenses = Income, Let's assume the sales are $600,000.

For Absorption Costing, you need to determine the cost of goods sold. Since all units produced are sold, the cost of goods sold will include both variable and fixed manufacturing costs. However, to calculate the cost of goods sold, we need more information about the fixed manufacturing overhead rate. For Variable Costing, you need to determine the variable cost of goods sold. This will include only the variable manufacturing costs.

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Sulivan Equipment Sales showed the folowing. 16 Wrote off Fedur's accourt in the anourt of 515,150. 20 Collected the anount owing from the dscuary 15 sale. Age. 15 Sold merchandise costing 562,150 sor $71,300 to cuatomers who used their Yisa credt caras. Wisa charges a 1$ tee and drgosts the cask electronicaly mo rene recalier's account immedatily at the time of sale ? Parker Holdings honoured the note alesed March 1. Dec 31. Sultvan's year -ent. interest was acchied on outstarding notes receivatie. shened an unadjusted credt baiance of $1.615 on this date 7024. Grant Company dishonoured is note dased November 1, 2t2a. Mar 5 Recovered $1,500 from Derek Hohnon that was prevously wethen off. 14 Whote off the Grant Company account. Required: a. Determine the maturity dates of the March 1 and November 1 notes. b. Prepare entries as appropriate for each date. (Rocind the final answers to 2 decimal places. Use 365 days a year.) Journal entry worksheet Fiectid nith Yitw quneval foumul Analysis Component: Sullivan's receivable tumovers at December 31,2023 and 2021 were 7 and 7.5, respectively. Select the correct option for whether the change in the rato for Sullivan was favourable or unfavourable.

Answers

The maturity dates of the March 1 and November 1 notes cannot be determined based on the given information.

Without clear and accurate information about the specific transactions and accounts involved, it is not possible to prepare the appropriate entries.

Regarding the receivable turnover ratio, it is not provided with the necessary information to calculate or compare the ratio for Sullivan. The information about the ratio being 7 at December 31, 2023, and 7.5 at December 31, 2021, is not sufficient to determine whether the change in the ratio is favorable or unfavorable. Additional data and context would be needed to analyze and interpret the receivable turnover ratio effectively.

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An Economist wears a T-shirt that says " Fast Money Raises My
interest" Use the quantity theory of money and the Fisher Equation
to provide an intuitive Explanation of this slogan

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The slogan on the economist's T-shirt, "Fast Money Raises My Interest," can be explained using the quantity theory of money and the Fisher Equation.

The quantity theory of money states that the total amount of money in an economy is directly proportional to the overall price level. In other words, when the money supply increases, prices tend to rise.

The Fisher Equation, on the other hand, relates the nominal interest rate (i) to the real interest rate (r) and the expected inflation rate (π). It can be expressed as: i = r + π.

Now, let's apply these concepts to the economist's slogan. "Fast money" refers to an increase in the money supply, which according to the quantity theory of money, leads to an increase in the overall price level. This implies that prices are rising.

The phrase "raises my interest" can be understood in the context of the Fisher Equation. When prices are increasing (inflation), the nominal interest rate tends to be higher to compensate for the loss in purchasing power. The real interest rate represents the return on investment after adjusting for inflation. So, if prices are rising (inflation is expected), the nominal interest rate (i) will be higher to account for the inflation rate (π), thereby raising the economist's interest.

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An asset has an average return of 10.55 percent and a standard deviation of 22.59 percent. What is the most you should expect to earn in any glven year with a probability of 16 percent? (That is, 16% of returns should be above what number?) Multiple Cholese 23.34% 34.63% 33.14% 57.22% 12.04%

Answers

The most you should expect to earn in any given year with a probability of 16% is approximately 11.88%. Among the provided choices, the closest option is 23.34%, so the correct answer is 23.34%.

To determine the maximum expected return with a 16% probability, we need to calculate the value above which 16% of returns lie.

Given that the average return of the asset is 10.55% and the standard deviation is 22.59%, we can use the properties of a normal distribution to find the desired value.

First, we find the Z-score corresponding to a probability of 16%. Using a standard normal distribution table or a calculator, we find that the Z-score is approximately -0.994.

Next, we calculate the value above which 16% of returns lie by multiplying the Z-score by the standard deviation and adding it to the average return:

Value = Average return + (Z-score * Standard deviation)

Value = 10.55% + (-0.994 * 22.59%)

Value ≈ 10.55% - 22.43%

Value ≈ -11.88%

However, since we are looking for a positive return, we consider the absolute value of the calculated result:

Absolute value of Value ≈ |-11.88%| ≈ 11.88%

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Assume your company is manufacturing toothpaste. Pick a supply
chain strategy for this product and explain your choice.

Answers

A lean supply chain strategy is an effective choice for manufacturing toothpaste as it helps to minimize waste, reduce costs, improve efficiency, and enhance quality control.

The supply chain strategy I would choose for manufacturing toothpaste is a lean supply chain strategy. This strategy focuses on minimizing waste and reducing costs by maintaining a low inventory level and streamlining the production process.

Firstly, with a lean supply chain strategy, the company can optimize its inventory management by keeping just enough raw materials and finished products on hand to meet customer demand. This helps to minimize the costs associated with holding excess inventory and reduces the risk of product obsolescence.

Secondly, the lean strategy emphasizes efficiency in production. By implementing lean manufacturing principles such as just-in-time production and continuous improvement, the company can eliminate unnecessary steps in the production process, reduce cycle times, and improve overall productivity. For example, the company can use automated equipment to ensure precise formulation and packaging of toothpaste, reducing the chance of errors and improving efficiency.

Additionally, a lean supply chain strategy can also lead to improved quality control. With a focus on reducing waste and errors, the company can implement rigorous quality control measures throughout the manufacturing process. This helps ensure that the toothpaste meets the required standards and customer expectations.

A lean supply chain strategy is an effective choice for manufacturing toothpaste as it helps to minimize waste, reduce costs, improve efficiency, and enhance quality control. This strategy allows the company to optimize inventory management, streamline production processes, and meet customer demand effectively. By adopting a lean approach, the company can achieve a competitive advantage in the market while delivering high-quality toothpaste to consumers.

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plese help
6. Bank One has loans of \( \$ 69,000 \), excess reserves of \( \$ 1400 \), and demand deposits of \( \$ 80,000 \). Calculate the legal reserve requirement based on the information given.

Answers

Based on the information provided, the legal reserve requirement for Bank One can be calculated. The legal reserve requirement is the percentage of demand deposits that banks are required to hold as reserves. $8,000 as reserves against its demand deposits

By applying the appropriate reserve ratio to the demand deposits, we can determine the legal reserve requirement for Bank One.

The legal reserve requirement is the minimum amount of reserves that banks are required to hold as a percentage of their demand deposits. To calculate the legal reserve requirement for Bank One, we need to know the reserve ratio set by the regulatory authority.

The reserve ratio is the percentage of demand deposits that banks must hold as reserves. It is typically determined by the central bank or regulatory authority. Let's assume that the reserve ratio is 10% for Bank One.

To calculate the legal reserve requirement, we multiply the reserve ratio by the demand deposits. In this case, the demand deposits are given as $80,000. So, the legal reserve requirement would be:

Legal Reserve Requirement = Reserve Ratio * Demand Deposits

= 0.10 * $80,000

= $8,000

Therefore, based on the given information and assuming a reserve ratio of 10%, the legal reserve requirement for Bank One is $8,000. This means that Bank One is required to hold $8,000 as reserves against its demand deposits to comply with the regulatory requirements.

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how do global factors influence the economy in your country? why are healthy individual finances important to the economy in north america?

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Global factors have a significant influence on the economy of a country, including North America. Healthy individual finances are important to the economy in North America because they contribute to overall economic stability, consumer spending, investment, and financial resilience.

Global factors, such as international trade, foreign investment, exchange rates, and global economic conditions, can have a profound impact on the economy of a country, including North America. The interconnectedness of economies means that events and trends in other countries can ripple through global markets and affect various aspects of domestic economies. For example, changes in global demand for goods and services can impact export-oriented industries, while fluctuations in currency exchange rates can affect the competitiveness of domestic businesses in international markets. Additionally, financial crises or economic slowdowns in other countries can have spillover effects on North America through trade channels, investment flows, or financial market disruptions.

Healthy individual finances are crucial to the economy in North America for several reasons. First, when individuals have sound financial situations, they are more likely to make confident and stable consumption decisions. Consumer spending is a significant driver of economic growth, and when people have the means and confidence to spend, it stimulates demand and supports business activities.

Second, healthy individual finances contribute to investment in various forms, such as personal investments, savings, and entrepreneurship. These investments provide capital for businesses, promote innovation, and drive economic expansion. Third, strong individual finances enhance financial resilience and stability. When individuals have savings and manageable debt levels, they are better equipped to weather economic downturns, reducing the risk of financial crises and supporting overall economic stability. By fostering financial well-being among individuals, the economy in North America can benefit from increased economic activity, investment, and resilience to external shocks.

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The real estate disclosure law that became effective on January 1, 1988, refers to:

A: Truth-in-Lending;
B: Agency relationships;
C: People who arrange credit;
D: Disclosures made by sellers.

Answers

The real estate disclosure law that became effective on January 1, 1988, refers to option D: Disclosures made by sellers.

The real estate disclosure law that was implemented on January 1, 1988, specifically pertains to the disclosures made by sellers in the real estate industry. This law requires sellers to provide certain information to potential buyers regarding the property they are selling. These disclosures typically cover important aspects such as the property's condition, known defects, potential hazards, and other relevant details that might influence the buyer's decision-making process.

The purpose of this law is to ensure transparency and protect buyers from purchasing properties with hidden issues or undisclosed information. By providing these disclosures, sellers are fulfilling their legal obligation to provide accurate and comprehensive information to prospective buyers.

Therefore, option D, which refers to "Disclosures made by sellers," is the correct answer. This law plays a crucial role in promoting fairness and informed decision-making in real estate transactions.

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To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 18 persons per hour request a test. Assume arrivals are Poisson distributed from an infinite population. Blood pressure measurements can be made at a constant time of three minutes each. Assume the queue length can be infinite with FCFS discipline.

a.What average number in line can be expected? (Round your answer to 3 decimal places.)
Average number expectedpeople
b.
What average number of persons can be expected to be in the system? (Round your answer to 3 decimal places.)

Average number of personspersons
c.
What is the average amount of time that a person can expect to spend in line? (Round your answer to 4 decimal places.)

Average amount of timehours
d.
On the average, how much time will it take to measure a person's blood pressure, including waiting time? (Round your answer to 4 decimal places.)

Time takenhours

Answers

a. Average number in line: 18 * ((Average time in system) - (3/60))

b. Average number in system: Average number in line + Arrival rate

c. Average time in line: Average number in line / Arrival rate

d. Average time taken: Average time in line + Service time

a. The average number of people in line can be calculated using Little's Law, which states that the average number of customers in a stable system is equal to the arrival rate multiplied by the average time spent in the system.

In this case, the arrival rate is 18 persons per hour, and the average time spent in the system is the service time plus the waiting time. Since the service time is fixed at three minutes (or 3/60 hours), we can calculate the average number of people in line as follows:

Average number in line = Arrival rate * (Average time in system - Service time)

= 18 * ((Average time in system) - (3/60))

b. The average number of persons in the system includes both those in line and those being served. Since the queue length can be infinite with a first-come, first-served (FCFS) discipline, it implies that there is always someone being served.

Therefore, the average number of persons in the system is equal to the average number in line plus the average number being served:

Average number in system = Average number in line + Average number being served

= Average number in line + Arrival rate

c. The average amount of time a person can expect to spend in line can be calculated by dividing the average number in line by the arrival rate:

Average time in line = Average number in line / Arrival rate

d. The average time taken to measure a person's blood pressure, including waiting time, can be calculated by summing the average time in line and the service time:

Average time = Average time in line + Service time

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What can cause the market equilibrium price of blueberry yogurt to decrease?
1. An increase in the price of blueberries -- an input to blueberry yogurt
2. An increase in consumers' tastes and preferences for blueberry yogurt
3. A decrease in the number of sellers of blueberry yogurt
4. A decrease in the price of strawberry yogurt -- a substitute for blueberry yogurt

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The market equilibrium price of blueberry yogurt can decrease due to an increase in the price of blueberries (an input to blueberry yogurt) and a decrease in the price of strawberry yogurt.

Several factors can cause the market equilibrium price of blueberry yogurt to decrease. Firstly, an increase in the price of blueberries, which are one of the main ingredients in blueberry yogurt, can raise the production costs for yogurt manufacturers. As a result, the supply of blueberry yogurt may decrease, leading to a higher equilibrium price. On the other hand, if the price of blueberries decreases, it would lower the production costs, allowing yogurt manufacturers to offer blueberry yogurt at a lower price. This would increase the supply and lower the equilibrium price of blueberry yogurt.

Secondly, a decrease in the price of strawberry yogurt, which is a substitute for blueberry yogurt, can also impact the market equilibrium price. If the price of strawberry yogurt decreases, consumers might shift their preferences towards it, reducing the demand for blueberry yogurt. To maintain competitiveness, blueberry yogurt sellers would likely lower their prices to attract customers and maintain market share. This decrease in price would result in a lower equilibrium price for blueberry yogurt.

Therefore, both an increase in the price of blueberries (an input to blueberry yogurt) and a decrease in the price of strawberry yogurt (a substitute for blueberry yogurt) can cause the market equilibrium price of blueberry yogurt to decrease.

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(Expected rate of return using CAPM) a. Compute the expected rate of return for Acer common stock, which has a 1.8 beta. The risk-free rate is 7 percent and the market portfolio (composed of New York Stock Exchange stocks) has an expected return of 12 percent. b. Why is the rate you computed the expected rate?

Answers

a. The expected rate of return for Acer common stock, based on its beta of 1.8, is 16%.

b. In the case of Acer common stock, the expected rate of return of 16% is higher than the risk-free rate of 7%, reflecting the additional return required by investors to compensate for the higher risk associated with the stock's beta of 1.8.

a. To compute the expected rate of return using the Capital Asset Pricing Model (CAPM), we can use the following formula:

Expected Rate of Return = Risk-Free Rate + Beta * (Market Return - Risk-Free Rate)

Beta (β) = 1.8

Risk-Free Rate = 7%

Market Return = 12%

Expected Rate of Return = 7% + 1.8 * (12% - 7%)

Expected Rate of Return = 7% + 1.8 * 5%

Expected Rate of Return = 7% + 9%

Expected Rate of Return = 16%

Therefore, the expected rate of return for Acer common stock, based on its beta of 1.8, is 16%.

b. The rate computed using CAPM is the expected rate of return because it takes into account the systematic risk of an asset. CAPM considers the risk-free rate as the baseline return and adjusts it based on the asset's beta, which measures its sensitivity to market movements. The formula incorporates the risk premium associated with the market portfolio (Market Return - Risk-Free Rate) and scales it by the asset's beta. This adjusted rate represents the compensation an investor should expect for holding a risky asset, considering the risk level of the overall market.

In the case of Acer common stock, the expected rate of return of 16% is higher than the risk-free rate of 7%, reflecting the additional return required by investors to compensate for the higher risk associated with the stock's beta of 1.8.

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You are bearish on the stock Sachsman Gold Inc which is currently trading at US $373.50 and decide to short sell 2000 shares. Your broker tells you that your initial margin requirement is 60% (maintenance margin is 45%) and that the commission on the sale is US $1.20 per share. While you are short the stock, Sachsman Gold pays a dividend of $8 per share. At the end of one year, you close out your position and are charged a commission of US $1.15 per share. i. Determine the price at which you would receive a margin call during the year. (3 marks) ii. What is your rate of return on the investment if at the end of the year the price of the stock falls to US $250.00? (3 marks) iii. What is your rate of return on the investment if at the end of the year the stock price rises to US $500? (3 marks) iv. Discuss the results and implications of (i) and (ii) and indicate if there was any action you could have taken to manage the downside risk.

Answers

The results indicate potential losses in both scenarios, and to manage the downside risk, you could have placed a stop-loss order or monitored the position more closely.

The price at which you would receive a margin call during the year is $333.75. If the price of the stock falls to $250.00, your rate of return on the investment is -20.29%.

If the price of the stock rises to $500.00, your rate of return on the investment is -37.36%.

i. To determine the price at which you would receive a margin call, we need to calculate the equity level at which it falls below the maintenance margin.

Equity level for margin call = Maintenance margin × Total value of short positionTotal value of short position = Number of shares shorted × Stock price

Total value of short position = 2000 × $373.50 = $747,000Equity level for margin call = 0.45 × $747,000 = $336,150

Therefore, you would receive a margin call if the equity level falls below $336,150.

ii. To calculate the rate of return if the stock price falls to $250.00, we need to consider the initial and final investments, including commissions and dividends.

Initial investment:

Short sale proceeds = Number of shares shorted × Stock price

Short sale proceeds = 2000 × $373.50 = $747,000

Commissions on the sale = Commission per share × Number of shares shorted

Commissions on the sale = $1.20 × 2000 = $2,400Total initial investment = Short sale proceeds + Commissions on the sale

Total initial investment = $747,000 + $2,400 = $749,400

Final investment:

Number of shares shorted × Final stock price = 2000 × $250.00 = $500,000

Commissions on closing the position = Commission per share × Number of shares shorted

Commissions on closing the position = $1.15 × 2000 = $2,300

Dividend received = Dividend per share × Number of shares shorted

Dividend received = $8 × 2000 = $16,000

Total final investment = Final investment - Commissions on closing the position + Dividend received

Total final investment = $500,000 - $2,300 + $16,000 = $513,700

Rate of return = (Total final investment - Total initial investment) / Total initial investment

Rate of return = ($513,700 - $749,400) / $749,400 = -20.29%

iii. To calculate the rate of return if the stock price rises to $500.00, we follow the same steps as in ii.

Final investment:

Number of shares shorted × Final stock price = 2000 × $500.00 = $1,000,000

Commissions on closing the position = $1.15 × 2000 = $2,300

Dividend received = $8 × 2000 = $16,000

Total final investment = $1,000,000 - $2,300 + $16,000 = $1,013,700

Rate of return = (Total final investment - Total initial investment) / Total initial investment

Rate of return = ($1,013,700 - $749,400) / $749,400 = -37.36%

iv. The results indicate potential losses in both scenarios.

To manage the downside risk, you could have placed a stop-loss order, which automatically closes the position if the stock price reaches a certain level to limit

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Speed Of One-half Of A's, But The Fixed Cost Is Only $51,000. The Variable Cost Will Be Higher, At $17 (2024)

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