The cash flow in each of years 1 to 6 is $2,100,000.
Given: ,The cost of the machine = $11,000,000
Life of the machine = 6 years
Revenue generated per year = $10,000,000
Cost incurred per year = $3,000,000
Marginal tax rate = 40%
Depreciation method = Straight-line depreciation
The annual depreciation is calculated as follows:
Annual Depreciation = (Cost of the machine - Salvage Value) / Useful life
Annual Depreciation = (11,000,000 - 0) / 6= $1,833,333
Cash flow = Revenue - Expenses - Taxes - Depreciation
For each year, the cash flow is calculated as follows:
Year 1Revenue = $10,000,000
Expenses = $3,000,000
Depreciation = $1,833,333
Taxable income = $5,166,667
Taxes = 40% × $5,166,667 = $2,066,667
Cash flow = $10,000,000 - $3,000,000 - $2,066,667 - $1,833,333= $2,100,000
For years 2 to 6, the cash flow will be the same as in Year 1.
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.a) Does Rowena have any strictly dominated strategies in the game from Question 1? Select all that apply.
b) Does Colin have any strictly dominated strategies in the game from Question 1? Select all that apply.
c) Does the following list contain any Nash equilibria of the game from Question 1? Select all that apply.
d)Use the game in Question 1 to explain why it is important to describe an equilibrium by using the strategies employed by the players, not merely the payoffs.
The answer is Yes, Colin has a strictly dominated strategy in the game from Question 1. Colin's second strategy (G) is strictly dominated by his third strategy (H) as the payoffs of H are greater than those of G in both scenarios.
The answer is Yes, the following list contains the Nash equilibria of the game from Question 1: (B, F), (C, H), and (D, H).d) Use the game in Question 1 to explain why it is important to describe an equilibrium by using the strategies employed by the players, not merely the payoffs. It is important to describe an equilibrium by using the strategies employed by the players because Nash equilibrium is a state in which no player can unilaterally change its strategy without decreasing its own payoff. In other words, players are making the best decision based on their opponent's strategy, and not based on the payoffs alone. Hence, we need to describe the strategies employed by the players to fully understand the equilibrium state.The answer is Yes, Colin has a strictly dominated strategy in the game from Question 1. Colin's second strategy (G) is strictly dominated by his third strategy (H) as the payoffs of H are greater than those of G in both scenarios.
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Caradoc Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $412,000 is estimated to result in $152,000 in annual pre-tax cost savings. The press falls into Class 8 for CCA purposes (CCA rate of 20% per year), and it will have a salvage value at the end of the project of $55,200. The press also requires an initial investment in spare parts inventory of $22,000, along with an additional $3,300 in inventory for each succeeding year of the project. If the shop's tax rate is 35% and its discount rate is 9%. Calculate the NPV of this project. (Do not round your intermediate calculations. Round the final answer to 2 decimal places. Omit $ sign in your response.) NPV $ _____ .Should the company buy and install the machine press? Yes No
The NPV of the project is $56,935.67, and the company should buy and install the machine press.
To calculate the NPV of the project, we need to determine the cash flows associated with the project and discount them back to their present value using the discount rate of 9%.
The initial investment includes the cost of the machine press ($412,000) and the initial investment in spare parts inventory ($22,000), which totals $434,000. This initial investment occurs at time zero (T0) and is represented as an outflow.
The annual pre-tax cost savings of $152,000 is expected to be realized for four years. These cash inflows occur at the end of each year (T1 to T4). However, we need to consider the tax implications as well. Since the tax rate is 35%, the after-tax cash flows will be calculated as 65% of the pre-tax cash flows.
In addition, the annual inventory investment of $3,300 occurs at the end of each year (T1 to T4). This is treated as a cash outflow.
At the end of the project (T4), the salvage value of the machine press is $55,200, which represents a cash inflow.
To calculate the NPV, we discount each cash flow back to its present value using the discount rate of 9%. The NPV is then determined by summing up all the discounted cash flows.
Here is the calculation:
Year 0 (T0):
Initial investment: -$434,000
Year 1 (T1):
After-tax cash flow: $152,000 * (1 - 0.35) = $98,800
Inventory investment: -$3,300
Year 2 (T2):
After-tax cash flow: $152,000 * (1 - 0.35) = $98,800
Inventory investment: -$3,300
Year 3 (T3):
After-tax cash flow: $152,000 * (1 - 0.35) = $98,800
Inventory investment: -$3,300
Year 4 (T4):
After-tax cash flow: $152,000 * (1 - 0.35) = $98,800
Inventory investment: -$3,300
Salvage value: $55,200
Discount rate: 9%
Using these values, we can calculate the present value (PV) of each cash flow by dividing it by (1 + discount rate)^t, where t represents the year.
NPV = PV(T0) + PV(T1) + PV(T2) + PV(T3) + PV(T4)
NPV = -$434,000 + ($98,800 / (1 + 0.09)^1) + ($98,800 / (1 + 0.09)^2) + ($98,800 / (1 + 0.09)^3) + ($98,800 / (1 + 0.09)^4) + ($55,200 / (1 + 0.09)^4)
NPV = -$434,000 + $90,656.33 + $83,227.25 + $76,316.85 + $70,858.24 + $40,819.99
NPV = $56,935.67
The NPV of the project is $56,935.67, which is positive. Therefore, the company should buy and install the machine press as it is expected to generate positive net present value, indicating a profitable investment.
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As a social institution , the politics .....
a. is about power
b. guides the consumption of goods and services
c. distributes goods and services
d. all of these are correct
A constitutional monarchy is ....
a. elected by the people
b. has absolute power
c. has no political power
d. is a dictatorship
The correct answers are:
a. is about power
c. distributes goods and services
d. all of these are correct
Explanation: Politics, as a social institution, encompasses the exercise of power in society. It involves making decisions, setting policies, and influencing the distribution of resources and goods. Therefore, statement a is correct.
Politics also plays a role in the distribution of goods and services within a society. Governments and political systems have the authority to allocate resources, provide public services, and address societal needs. Hence, statement c is correct.
Considering the above, the statement "all of these are correct" (d) is also accurate, as it encompasses the multiple dimensions of politics, including its focus on power, the guidance of consumption of goods and services, and the distribution of resources.
Regarding the second question: A constitutional monarchy refers to a system of government where a monarch serves as the ceremonial head of state, and the power is limited by a constitution. The monarch's authority is typically inherited and not elected by the people, as stated in option a. Additionally, a constitutional monarchy is not characterized by absolute power (b) or as a dictatorship (d). The monarch's role is often ceremonial, with limited political power, which aligns with option c.
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According to Gido and Clements (2018) the effectiveness, or lack thereof, of the project team can make the difference between project success and project failure. In the light of the statement above, discuss five characteristics of effective project teams. 2.2 Discuss the Five-Stage Team Development Model by explaining each stage in the model.
Clear Goals and Objectives: Effective project teams have clear and well-defined goals and objectives. Team members understand the project's purpose, deliverables, and the desired outcomes. This clarity helps align their efforts and ensures everyone is working towards a common goal.
Strong Communication: Communication is crucial for effective project teams. Team members should actively communicate with each other, sharing information, progress updates, and addressing any issues or concerns. Open and transparent communication fosters collaboration, trust, and effective decision-making within the team.
Diverse Skill Set: Effective project teams consist of members with a diverse range of skills and expertise relevant to the project. This diversity allows for different perspectives, innovative solutions, and comprehensive coverage of various project aspects. It enhances problem-solving capabilities and promotes better decision-making.
Collaboration and Cooperation: Project teams that work well together demonstrate a high level of collaboration and cooperation. They value teamwork, support each other, and actively seek input and contributions from all members. A collaborative environment fosters creativity, synergy, and a sense of ownership, leading to better project outcomes.
Effective Leadership: Strong leadership is essential for guiding and motivating project teams. Effective leaders provide direction, support, and resources to the team, facilitate communication and decision-making, and manage conflicts or challenges that may arise. They set a positive example, inspire trust, and create a conducive environment for team success.
The Five-Stage Team Development Model:
The Five-Stage Team Development Model, developed by Bruce Tuckman, describes the stages that teams typically go through as they develop and mature. The stages are as follows:
Forming: In this initial stage, team members come together, introduce themselves, and become familiar with the project's goals and expectations. There is usually a sense of excitement and anticipation, but also uncertainty and caution.
Storming: In the storming stage, team members may experience conflicts, power struggles, or differences of opinion as they work together. It is a period of adjustment, where individual roles and responsibilities are clarified, and the team dynamics start to take shape.
Norming: During the norming stage, team members start to establish norms, rules, and expectations that govern their behavior and interactions. There is an increasing sense of cohesion and cooperation as conflicts are resolved, and mutual respect and trust are developed.
Performing: The performing stage is characterized by a high level of collaboration, efficiency, and productivity. Team members work well together, leveraging their strengths and expertise to achieve project goals. There is a shared commitment to the team's success, and decision-making is effective.
Adjourning: The adjourning stage occurs when the project is nearing completion. Team members reflect on their accomplishments, celebrate successes, and prepare for project closure. It is a time for recognizing individual and team contributions and transitioning to new projects or assignments.
By understanding and navigating these five stages, project teams can anticipate challenges, foster cooperation, and ultimately work towards achieving project success.
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The Japanese yen has been performing well against the US dollar over the past few months. It may continue to hold its own First off, the foreign exchange markets often accord the yen a safe-haven stat
The Japanese yen has indeed been performing well against the US dollar in recent months and may continue to hold its own.
One of the primary reasons for this is the safe-haven status that the foreign exchange markets often accord to the yen. During times of global economic uncertainty or market volatility, investors tend to seek refuge in assets that are considered safe, stable, and less prone to significant fluctuations. The yen has traditionally been perceived as a safe-haven currency due to Japan's strong economic fundamentals, stable political environment, and low inflation.
The safe-haven status of the yen can be attributed to several factors. Firstly, Japan has a reputation for its robust economy, which is supported by a strong manufacturing sector, technological advancements, and a skilled workforce. The country's economic stability provides a sense of confidence to investors, making the yen an attractive currency to hold during turbulent times.
Secondly, Japan's political environment is generally regarded as stable and predictable. The country has a well-established democratic system, a reliable legal framework, and a history of peaceful transitions of power. This political stability adds to the perception of the yen as a safe-haven currency, as it minimizes the risk of sudden policy changes or political upheavals that could negatively impact its value.
Lastly, Japan's low inflation rate is another contributing factor to the yen's safe-haven status. Low inflation ensures that the purchasing power of the currency remains relatively stable over time, reducing the risk of erosion in its value. This stability is particularly appealing to investors who are seeking to preserve the value of their assets during periods of economic uncertainty.
In conclusion, the Japanese yen's strong performance against the US dollar and its potential to continue holding its own can be attributed to its safe-haven status. Japan's strong economic fundamentals, stable political environment, and low inflation rate contribute to the perception of the yen as a safe and reliable currency during times of global economic volatility.
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Explain why an understanding of the law of demand and the law of
supply is important to being an effective manager.
The law of demand and the law of supply are fundamental principles that form the basis of modern economics. It is imperative for an effective manager to have an understanding of these laws to make informed decisions regarding pricing, production, and marketing.
The law of demand states that as the price of a product or service rises, the quantity demanded decreases, and vice versa. On the other hand, the law of supply states that as the price of a product or service increases, the quantity supplied also increases, and vice versa.
An understanding of these laws helps managers make strategic decisions that maximize profits and minimize losses. For example, if a manager is responsible for pricing a product, they can use the law of demand to set a price that maximizes revenue by finding the sweet spot where demand and price intersect.
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What is the real interest rate if the combined rate is 14% and
the inflation is 2.5%?
The real interest rate can be calculated by subtracting the inflation rate from the combined interest rate. In this case, if the combined rate is 14% and the inflation rate is 2.5%, the real interest rate would be 11.5%.
The real interest rate represents the rate of return on an investment after adjusting for inflation. It reflects the purchasing power gained or lost on an investment. To calculate the real interest rate, we subtract the inflation rate from the combined interest rate.
In this scenario, the combined rate is given as 14% (which includes both the nominal interest rate and the inflation rate) and the inflation rate is 2.5%. To find the real interest rate, we subtract the inflation rate from the combined rate:
Real Interest Rate = Combined Rate - Inflation Rate
Real Interest Rate = 14% - 2.5%
Real Interest Rate = 11.5%
Therefore, the real interest rate, in this case, would be 11.5%. This means that after adjusting for inflation, the investment is expected to yield a return of 11.5%. The real interest rate provides a more accurate measure of the actual return on investment, as it accounts for the effects of inflation.
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. LuluApple has a book value of $12 per share. The company is expected to earn $2.4 per share forever and pay out all of its earnings as dividends. The required rate of return on LuluApple's equity is 8%. Which of the following is closest to a Residual Income model valuation of LuluApple's value per share? A $30 B C D LL None of the options listed I do not want to answer this question E $12 F A B C $5 $18
To calculate the Residual Income (RI) valuation of LuluApple's value per share, we need to subtract the equity charge from the expected earnings per share.
The equity charge is calculated as the required rate of return on equity multiplied by the book value per share. In this case, the equity charge would be 8% of $12, which is $0.96 per share.
The residual income is then obtained by subtracting the equity charge from the expected earnings per share. In this case, the residual income would be $2.4 - $0.96 = $1.44 per share.
The Residual Income model valuation is calculated by dividing the residual income per share by the required rate of return on equity. In this case, $1.44 divided by 8% gives us $18 per share.
Therefore, the closest option to the Residual Income model valuation of LuluApple's value per share is F) $18.
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Discuss, Explain and Elaborate what is Critical Path Diagram (CPM)?
A Critical Path Diagram, also known as Critical Path Method (CPM), is a project management technique used to visualize and analyze the sequence of activities required to complete a project.
It helps project managers identify the critical path, which is the longest sequence of dependent activities that determines the project's overall duration.
Here are key elements and features of a Critical Path Diagram:
Activity Nodes: The project is divided into specific activities or tasks, represented by nodes or boxes in the diagram. Each activity is assigned a unique identifier or label.
Arrows and Dependencies: The activities are connected by arrows, indicating the dependencies between them. These dependencies can be of different types, such as finish-to-start (one activity must finish before the next can start), start-to-start (two activities can start simultaneously), finish-to-finish (two activities must finish simultaneously), or start-to-finish (one activity must start before the other can finish).
Duration Estimation: Each activity is assigned an estimated duration or time required for completion. This helps in determining the overall project duration and identifying potential bottlenecks or areas where resources may need to be allocated more effectively.
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Harbour Company makes two models of electronic tablets, the Home and the Work. Basic production information follows Harbour has monthly overhead of $202,375, which is divided into the following cost pools: The company has also compiled the following information about the chosen cost drivers: 3. Calculate Harbour's gross margin per unit for each product under the traditional costing system. (Round your intermediate calculations and final answers to 2 decimal places.) 4. Select the appropriate cost driver for each cost pool and calculate the activity rates if Harbour wanted to implement an ABC system. 2. Calculate the production cost per unit for each of Harbour's products under a traditional costing system. (Round your intermediate calculations and final answers to 2 decimal places.) 3. Calculate Harbour's gross margin per unit for each product under the traditional costing system. (Round your intermediate calculations and final answers to 2 decimal places.)
Under the traditional costing system, the gross margin per unit for the Home tablet is $119.48 and the gross margin per unit for the Work tablet is $120.
To calculate Harbour's gross margin per unit for each product under the traditional costing system, we first need to allocate the overhead cost pools to each product based on their respective cost drivers.
For the Home tablet:
Machine-related costs: 10,000 units x $12 = $120,000
Order-related costs: 200 orders x $300 = $60,000
Other overhead costs: $175,200 - $120,000 - $60,000 = $15,200
For the Work tablet:
Machine-related costs: 20,000 units x $12 = $240,000
Order-related costs: 400 orders x $300 = $120,000
Other overhead costs: $175,200 - $240,000 - $120,000 = -$184,800 (overhead is overallocated)
Since the other overhead costs are overallocated for the Work tablet, we will adjust the total overhead cost for this product to match the actual amount incurred:
Adjusted other overhead costs = Other overhead costs - Overhead overallocation
Adjusted other overhead costs = $175,200 - (-$184,800) = $360,000
Now we can calculate the total cost per unit for each product:
Total cost per unit for Home tablet = Direct materials + Direct labor + Machine-related costs + Order-related costs + Other overhead costs
Total cost per unit for Home tablet = $150 + $75 + $12 + ($300/1,000) + ($15,200/10,000)
Total cost per unit for Home tablet = $255.52
Total cost per unit for Work tablet = Direct materials + Direct labor + Machine-related costs + Order-related costs + Adjusted other overhead costs
Total cost per unit for Work tablet = $200 + $100 + $12 + ($300/2,000) + ($360,000/20,000)
Total cost per unit for Work tablet = $330
Finally, we can calculate the gross margin per unit for each product as follows:
Gross margin per unit for Home tablet = Price - Total cost per unit
Gross margin per unit for Home tablet = $375 - $255.52
Gross margin per unit for Home tablet = $119.48
Gross margin per unit for Work tablet = Price - Total cost per unit
Gross margin per unit for Work tablet = $450 - $330
Gross margin per unit for Work tablet = $120
Therefore, under the traditional costing system, the gross margin per unit for the Home tablet is $119.48 and the gross margin per unit for the Work tablet is $120.
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Harbour Company makes two models of electronic tablets, the Home and the Work. Basic production information follows: Harbour has monthly overhead of Dollar 175,200, which is divided into the following cost pools: The company has also compiled the following information about the chosen cost drivers: Calculate Harbour's gross margin per unit for each product under the traditional costing system.
Under the traditional costing system, the gross margin per unit for the Home tablet is $119.48 and the gross margin per unit for the Work tablet is $120.
To calculate Harbour's gross margin per unit for each product under the traditional costing system, we first need to allocate the overhead cost pools to each product based on their respective cost drivers.
For the Home tablet:
Machine-related costs: 10,000 units x $12 = $120,000
Order-related costs: 200 orders x $300 = $60,000
Other overhead costs: $175,200 - $120,000 - $60,000 = $15,200
For the Work tablet:
Machine-related costs: 20,000 units x $12 = $240,000
Order-related costs: 400 orders x $300 = $120,000
Other overhead costs: $175,200 - $240,000 - $120,000 = -$184,800 (overhead is overallocated)
Since the other overhead costs are overallocated for the Work tablet, we will adjust the total overhead cost for this product to match the actual amount incurred:
Adjusted other overhead costs = Other overhead costs - Overhead overallocation
Adjusted other overhead costs = $175,200 - (-$184,800) = $360,000
Now we can calculate the total cost per unit for each product:
Total cost per unit for Home tablet = Direct materials + Direct labor + Machine-related costs + Order-related costs + Other overhead costs
Total cost per unit for Home tablet = $150 + $75 + $12 + ($300/1,000) + ($15,200/10,000)
Total cost per unit for Home tablet = $255.52
Total cost per unit for Work tablet = Direct materials + Direct labor + Machine-related costs + Order-related costs + Adjusted other overhead costs
Total cost per unit for Work tablet = $200 + $100 + $12 + ($300/2,000) + ($360,000/20,000)
Total cost per unit for Work tablet = $330
Finally, we can calculate the gross margin per unit for each product as follows:
Gross margin per unit for Home tablet = Price - Total cost per unit
Gross margin per unit for Home tablet = $375 - $255.52
Gross margin per unit for Home tablet = $119.48
Gross margin per unit for Work tablet = Price - Total cost per unit
Gross margin per unit for Work tablet = $450 - $330
Gross margin per unit for Work tablet = $120
Therefore, under the traditional costing system, the gross margin per unit for the Home tablet is $119.48 and the gross margin per unit for the Work tablet is $120.
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Harbour Company makes two models of electronic tablets, the Home and the Work. Basic production information follows: Harbour has monthly overhead of Dollar 175,200, which is divided into the following cost pools: The company has also compiled the following information about the chosen cost drivers: Calculate Harbour's gross margin per unit for each product under the traditional costing system.
Which of the following statements about temporary accounts is (are) true? Select ALL that are correct. They are closed. They appear on the Statement of Cash Flows They appear on the balance sheet. They appear on the income statement They begin the accounting period with a balance above zero. Piper Company sold $45,400 of pipe to District on April 12 of the current year with terms 1/15, n/60. They use the gross method of accounting for sales discounts. What entry would they make on April 23, assuming the customer made the correct payment on that date? Cash 45,400 Accounts receivable 44,946 454 Sales Cash Sales discounts Accounts receivable Sales discounts forfeited Cash Sales discounts Accounts receivable Accounts receivable Cash Sales 45,400 454 44,946 454 44,946 454 45,400 454 45,400 45,400
Statement 1: They are closed. (True)
Statement 2: They appear on the Statement of Cash Flows (False)
Statement 3: They appear on the balance sheet (False)
Statement 4: They appear on the income statement (True)
Statement 5: They begin the accounting period with a balance above zero (False)
Temporary accounts, also known as nominal accounts, are accounts that are used to track revenues, expenses, gains, and losses for a specific accounting period. These accounts are closed at the end of each period to transfer their balances to the retained earnings or owner's equity account. This process is known as closing the accounts.
Statement 1 is true. Temporary accounts are closed at the end of the accounting period to prepare for the next period.
Statement 2 is false. Temporary accounts do not appear on the Statement of Cash Flows. The Statement of Cash Flows focuses on cash inflows and outflows from operating, investing, and financing activities.
Statement 3 is false. Temporary accounts do not appear on the balance sheet. The balance sheet presents the financial position of a company at a specific point in time and includes assets, liabilities, and equity accounts.
Statement 4 is true. Temporary accounts, such as revenue and expense accounts, appear on the income statement. The income statement shows the revenues earned and expenses incurred during a specific accounting period, resulting in net income or net loss.
Statement 5 is false. Temporary accounts do not begin the accounting period with a balance above zero. Instead, their balances are accumulated throughout the period and then closed to zero at the end of the period.
In conclusion, temporary accounts are closed at the end of each accounting period and appear on the income statement. They do not appear on the balance sheet, Statement of Cash Flows, and do not begin the accounting period with a balance above zero.
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Zoe Company reported the following 2022 financial information:
Net sales revenue............................ $30,000,000
Cost of goods sold........................... $20,000,000
Average accounts receivable............ $5,000,000
Average inventory............................ $2,000,000
Average accounts payable............... $4,000,000
Compute Zoe Company’s Days Inventory Outstanding (DIO) (Round your final answer to the nearest whole number; examples: 4.4 = 4 and 4.5 = 5)
The Days Inventory Outstanding (DIO) for Zoe Company is 37 days, round your final answer to the nearest whole number.
Days Inventory Outstanding (DIO) is the measure that is used to evaluate a company's efficiency in converting its inventory into sales by calculating the number of days it takes for the company to sell the entire inventory. It is an inventory management metric that measures the number of days a business holds inventory before selling it.
The formula to calculate the Days Inventory Outstanding (DIO) is as follows: Days Inventory Outstanding = (Average Inventory / Cost of goods sold) × 365. We have given, Average inventory = $2,000,000, Cost of goods sold = $20,000,000,
Days Inventory Outstanding = ($2,000,000 / $20,000,000) × 365
Days Inventory Outstanding = 36.5
The Days Inventory Outstanding for Zoe Company is 37 days (rounded up).
Therefore, the Days Inventory Outstanding (DIO) for Zoe Company is 37 days.
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A company is trying to decide whether to market a new product. If marketed, the unit margin of the product would be $18,000. The company classifies the possible market results as great, fair and awful and estimates the probabilities of these outcomes to be 0.45, 0.35 and 0.2 respectively, and the sales volumes of these outcomes would be 600, 300 and 90 respectively. If the company decides to develop the product further to ready it for market, it will incur a fixed cost of $4 million. This development may succeed technologically with a probability of 80%. In the case of successful technological development, the company will incur marketing costs equal to $2 million.
1. Use a decision tree to devise the appropriate strategy (plan of action) for the company and 25 determine the expected monetary value (EMV). State the strategy in words and write down the EMV.
2. What would the net revenue be if the product is marketed and the market turns out to be 5 ‘great’?
The decision tree can help visualize the different outcomes and their associated probabilities and costs.
Decision Tree and Strategy:
Development Cost
($4M)
/ \
/ \
/ \
Successful (80%) Unsuccessful (20%)
/ \
/ \
/ \
Marketing Cost No Marketing Cost
($2M) ($0)
| |
| |
Great (0.45) Great (0.45)
Sales: 600 Sales: 0
Unit Margin: $18,000
|
|
Fair (0.35)
Sales: 300
Unit Margin: $18,000
|
|
Awful (0.2)
Sales: 90
Unit Margin: $18,000
The appropriate strategy for the company can be determined by calculating the expected monetary value (EMV) for each decision path.
If the development is successful (80% probability):
Market outcome: Great (0.45 probability)
EMV = Sales Volume * Unit Margin - Development Cost - Marketing Cost
EMV = (600 * $18,000) - $4M - $2M
EMV = $10.8M - $4M - $2M
EMV = $4.8M
Market outcome: Fair (0.35 probability)
EMV = (300 * $18,000) - $4M - $2M
EMV = $5.4M - $4M - $2M
EMV = -$0.6M (negative value)
Market outcome: Awful (0.2 probability)
EMV = (90 * $18,000) - $4M - $2M
EMV = $1.62M - $4M - $2M
EMV = -$4.38M (negative value)
If the development is unsuccessful (20% probability):
EMV = No Marketing Cost
EMV = $0
Comparing the EMV values, the appropriate strategy for the company is to proceed with marketing the product if the development is successful, specifically for the Great market outcome with an EMV of $4.8M.
Net Revenue if the market turns out to be 'great':
If the market turns out to be 'great', the company would have a sales volume of 600 units and a unit margin of $18,000. Therefore, the net revenue can be calculated as follows:
Net Revenue = Sales Volume * Unit Margin
Net Revenue = 600 * $18,000
Net Revenue = $10.8M
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You sold short 100 shares of a stock at $150 per share. The
initial margin is 50%. At what stock price would you receive a
margin call if the maintenance margin is 30%.
A.
$195.00
B.
$133.33
If you sold short 100 shares of a stock at $150 per share with an initial margin of 50% and a maintenance margin of 30%, you would receive a margin call when the stock price reaches $133.33.
When you sell short, you are essentially borrowing shares and selling them with the expectation that the price will decrease. The initial margin is the percentage of the total value of the short sale that you must deposit as collateral. In this case, the initial margin is 50%, so you need to deposit $7,500 (50% of $15,000, the total value of 100 shares at $150 per share) as collateral.
The maintenance margin is the minimum percentage of the total value that must be maintained to avoid a margin call. In this case, the maintenance margin is 30%. To calculate the stock price at which you would receive a margin call, you need to determine the price at which the value of your short position would reach the maintenance margin level.
Since you sold short 100 shares at $150 per share, your short position has a total value of $15,000. The maintenance margin level for this position is 30% of $15,000, which is $4,500. To find the stock price that would result in a margin call, you divide the required maintenance margin by the number of shares, giving you $4,500 / 100 = $45 per share.
Therefore, you would receive a margin call when the stock price reaches $45 per share. To confirm this, you subtract the margin call price from the initial selling price: $150 - $45 = $105. The stock price would need to decrease by $105, or 70% of the initial selling price, to trigger a margin call.
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What are your conclusions future of retailing? Online? Retail stores? Other possible Hybrid/omnichannel? Other possible scenarios?
The future of retailing is undergoing significant transformation, driven by evolving consumer preferences, advancements in technology, and changing market dynamics.
Online Retail: Online retailing will continue to grow and gain market share. The convenience of shopping from anywhere at any time, a wider product selection, personalized recommendations, and competitive pricing are advantages that online retailers offer. E-commerce platforms will continue to innovate, improve user experience, and leverage emerging technologies such as artificial intelligence, augmented reality, and virtual reality to enhance the online shopping experience.
Retail Stores: While online retail is on the rise, physical retail stores will remain relevant. However, the role of retail stores is expected to evolve. Retailers will need to create unique in-store experiences, focusing on immersive environments, personalized services, and experiential elements that cannot be replicated online. Physical stores will also serve as fulfillment centers, offering click-and-collect or same-day delivery options to meet the growing demand for convenience.
Technology Integration: Technology will continue to play a crucial role in the future of retailing.
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How much sales are required to earn a target income of $160,000 if total fixed costs are $200,000 and the contribution margin ratio is 40%?
a. $600,000
b. $400,000
c. $900,000
d. $660,000
a. $600,000. The amount of sales required to earn a target income of $160,000 with total fixed costs of $200,000 and a contribution margin ratio of 40% is $600,000.
to calculate the sales required to earn a target income, we can use the following formula:
sales = (fixed costs + target income) / contribution margin ratio
given:
total fixed costs = $200,000
target income = $160,000
contribution margin ratio = 40% or 0.4
using the formula, we substitute the given values:
sales = ($200,000 + $160,000) / 0.4
sales = $360,000 / 0.4
sales = $900,000
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Which of the following is an example of a firm adding value to its stakeholders?
Frontier Airlines charges passengers a fee to select a seat on its flights.
Because of decreasing sales, Walmart closes its store in Chiefland, Florida.
The Tampa Bay Rays increase the parking fee at Tropicana Field to $25.
The University of Tampa develops a new degree program.
The University of Tampa developing a new degree program is an example of a firm adding value to its stakeholders.
Developing a new degree program by the University of Tampa is an example of a firm adding value to its stakeholders because it creates new educational opportunities for students, enhances the reputation and prestige of the university, and potentially attracts more students and faculty members. The new degree program can provide students with valuable knowledge and skills, increasing their future career prospects and earning potential. Additionally, the development of new programs reflects the university's commitment to innovation and staying relevant in the evolving job market, which benefits not only the students but also the faculty, staff, alumni, and the community as a whole.
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The New Brunswick premier has advocated for the introduction of a federal requirement that new immigrants to Canada, under 30 years of age, must live in New Brunswick for several years before being eligible to move to another province. The premier’s rationale was that the province has an aging population and needs younger workers to support that population. Furthermore, the added diversity is beneficial to the province. Which of the following PESTEL forces is LEAST reflected in the premier’s arguments?
a) Technological
b) Political
c) Economic
d) Social
The PESTEL framework is a tool used to analyze various external factors that can impact an organization or a decision. In the given scenario, the New Brunswick premier's advocacy for the introduction of a federal requirement for new immigrants to stay in New Brunswick is primarily based on demographic and social factors.
The premier's rationale revolves around addressing the province's aging population by attracting younger workers and promoting diversity. The arguments put forth do not explicitly mention technological, political, or economic factors as the main driving force behind the proposed requirement.
While it is possible that technological advancements may indirectly influence the need for younger workers or the benefits of diversity, it is not explicitly stated in the given information. The focus of the premier's arguments is primarily on demographic and social considerations.
Therefore, the PESTEL force least reflected in the premier's arguments is a) Technological. This does not discount the potential impact of technological factors on the overall context, but it is not the central aspect emphasized by the premier in this particular scenario.
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The PESTEL framework is a tool used to analyze various external factors that can impact an organization or a decision. In the given scenario, the New Brunswick premier's advocacy for the introduction of a federal requirement for new immigrants to stay in New Brunswick is primarily based on demographic and social factors.
The premier's rationale revolves around addressing the province's aging population by attracting younger workers and promoting diversity. The arguments put forth do not explicitly mention technological, political, or economic factors as the main driving force behind the proposed requirement.
While it is possible that technological advancements may indirectly influence the need for younger workers or the benefits of diversity, it is not explicitly stated in the given information. The focus of the premier's arguments is primarily on demographic and social considerations.
Therefore, the PESTEL force least reflected in the premier's arguments is a) Technological. This does not discount the potential impact of technological factors on the overall context, but it is not the central aspect emphasized by the premier in this particular scenario.
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Collins Company discards equipment that cost $20,000, has no residual value, and is fully depreciated at the end of year 5. What is the journal entry for the disposal at the end of year 5? OA. Equipment Depreciation Expense-Equipment OB. Accumulated Depreciation Equipment Equipment OC. Depreciation Expense-Equipment Equipment OD. Equipment Accumulated Depreciation Equipment 20,000 20,000 20,000 20,000 20,000 20,000 20,000 20,000
Debit Accumulated Depreciation - Equipment $20,000; Debit Equipment $20,000; Credit Equipment $20,000.
The journal entry for the disposal of equipment at the end of year 5 would be as follows:
Debit Accumulated Depreciation - Equipment $20,000
Debit Equipment $20,000
Credit Equipment $20,000
The debit to Accumulated Depreciation - Equipment represents the accumulated depreciation recorded over the years on the equipment. Since the equipment is fully depreciated, the entire amount of $20,000 is debited to remove the accumulated depreciation.
The debit to Equipment represents the removal of the equipment from the company's books. As the equipment has no residual value, the entire cost of $20,000 is debited.
The credit to Equipment offsets the original cost of the equipment, effectively reducing the company's assets on the books.
It's important to note that the journal entry does not include any expenses related to depreciation or gains/losses on the disposal, as the equipment is fully depreciated and has no residual value.
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Generally accepted auditing standards established by the AICPA through April of 2003: Multiple Choice a. Were accepted as interim standards by the Public Company Accounting Oversight Board. b. Provide accounting guidance for nonpublic companies. c. Were also adopted as international auditing standards at that date. d. Are now developed by the Securities and Exchange Commission..
The Generally Accepted Auditing Standards (GAAS) was established by the AICPA in April of 2003 and answer the following question, which is, were accepted as interim standards by the Public Company Accounting Oversight Board. Hence option a is the right option.
Generally accepted auditing standards (GAAS) is a group of principles that direct the audit of a business's financial records. The American Institute of Certified Public Accountants (AICPA) established GAAS, and the audit community considers it as the foundation for the audit opinion provided by auditors. GAAS encompasses several statements of auditing standards.
The AICPA issued auditing standards as Statements on Auditing Standards (SAS) and interpreted them in Statements on Standards for Attestation Engagements (SSAE). The Generally Accepted Auditing Standards (GAAS) was established by the AICPA in April of 2003 and answer the following question, which is, were accepted as interim standards by the Public Company Accounting Oversight Board.
Hence option a is the right option. The PCAOB also became the authority for establishing auditing standards for public firms. The PCAOB follows GAAS as the basis for its audit standards. However, the standards are revised as necessary to address specific aspects of auditing public firms, such as the audit of internal control over financial reporting. Therefore, auditing standards for public firms are set by the PCAOB, not the AICPA.
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the department which investigates violations of federal law is the
The department which investigates violations of federal law is the Federal Bureau of Investigation (FBI). It is the principal investigative agency of the United States government, responsible for conducting investigations and enforcing federal laws.
The FBI operates under the jurisdiction of the Department of Justice and has broad authority to investigate various crimes, including terrorism, organized crime, cybercrime, public corruption, and civil rights violations, among others. It plays a crucial role in maintaining national security and upholding the rule of law in the United States.
The Federal Bureau of Investigation (FBI) is the primary investigative agency tasked with investigating violations of federal law in the United States. As part of the Department of Justice, the FBI has the authority to conduct investigations into a wide range of crimes that fall under federal jurisdiction. These include but are not limited to terrorism, organized crime, drug trafficking, cybercrime, public corruption, financial fraud, civil rights violations, and espionage. The FBI works collaboratively with other law enforcement agencies to gather evidence, conduct interviews, make arrests, and bring charges against individuals or groups involved in federal offenses. Its investigations play a crucial role in maintaining national security, protecting the public, and upholding the rule of law at the federal level.
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: Indicate the effect on this period's Free Cash Flow (FCFF) of this change: A $381 increase in interest expense. Assume there is a 22 percent tax rate, if applicable, and that nothing else changes. Show an increase as a positive number (like this: 123) and a decrease as a negative number
To determine the effect of a $381 increase in interest expense on the Free Cash Flow (FCFF), we need to consider the tax implications.
Assuming a 22 percent tax rate, we can calculate the impact as follows:
Increase in Interest Expense: $381
Tax Rate: 22%
Effect on FCFF = Increase in Interest Expense * (1 - Tax Rate)
Effect on FCFF = $381 * (1 - 0.22)
Effect on FCFF = $381 * 0.78
Effect on FCFF = $297.18 (rounded to the nearest cent)
Therefore, the effect on this period's FCFF of a $381 increase in interest expense, assuming a 22 percent tax rate and no other changes, would be a decrease of approximately $297.18.
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What is the most common approach to discovering consumer problems? a. product analysis
b. intuition.
c. activity analysis
d. problem analysis
e. qualitative research
The most common approach to discovering consumer problems is e. qualitative research.
Qualitative research methods are commonly used to understand consumer problems and gather insights into their experiences, needs, and preferences. Qualitative research involves techniques such as interviews, focus groups, observations, and open-ended surveys to gather rich and in-depth data from consumers. It allows researchers to explore consumer behavior, attitudes, motivations, and pain points related to a product or service.
Qualitative research allows for in-depth exploration and analysis of consumer problems. It provides rich and detailed insights into the underlying issues that consumers face, their pain points, and the factors that influence their decision-making. By employing techniques like open-ended questions and probing, qualitative research uncovers valuable information that may not be captured through quantitative methods alone.
By conducting qualitative research, businesses can gain a deeper understanding of consumer problems and challenges they face. This approach helps uncover valuable insights that can inform product improvements, identify areas for innovation, and develop effective solutions to address consumer needs and preferences. Qualitative research provides a direct avenue for consumers to express their concerns, enabling businesses to better understand and address their problems.
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Adjustments to the cash account based on the bank reconciliation LO 6−3 The following items were included in Wong Company's January Year 1 bank reconciliation. Required: Determine whether each item will require adjustments to the book balance of Wong's cash account and indicate the amount of any necessary adjustment. Note: Amounts to be deducted should be indicated with a minus sign. a. Service charges of $38 for the month of January were listed on the bank statement, b. The bank charged a $442 check drawn on Wing Restaurant to Wong's account. The check was included in Wong's bank statement. c. A check of $78 was returned to the bank because of insufficient funds and was noted on the bank statement. Wong recelved the check from a customer and thought that it was good when it was deposited into the account. d. A $924 deposit was recorded by the bank as $942. e. Four checks totaling $902 written during the month of January were not included with the January bank statement. f. A$73 check written to OfficeMax for office supplies was recorded as $37. g. The bank statement indicated that the bank had collected a $555 note for Wong. h. Wong recorded $863 of receipts on January 31, Year 1, which were deposited in the night depository of the bank. These deposits were not included in the bank statement.
In Wong Company's January Year 1 bank reconciliation, several items require adjustments to the book balance of Wong's cash account. The necessary adjustments and amounts are as follows:
a. Service charges of $38 for the month of January listed on the bank statement: Adjust the book balance by deducting $38.
b. The bank charged a $442 check drawn on Wing Restaurant to Wong's account: Adjust the book balance by deducting $442.
c. A check of $78 returned to the bank due to insufficient funds: Adjust the book balance by deducting $78.
d. A $924 deposit recorded by the bank as $942: No adjustment is necessary as the error is on the bank's side.
e. Four checks totaling $902 written in January not included in the bank statement: No adjustment is necessary as these checks were not reflected in the bank statement.
f. A $73 check written to OfficeMax for office supplies recorded as $37: Adjust the book balance by deducting $36.
g. The bank collected a $555 note for Wong: No adjustment is necessary as this indicates an increase in the book balance.
h. $863 of receipts deposited in the night depository on January 31, Year 1, not included in the bank statement: No adjustment is necessary as these deposits were not reflected in the bank statement.
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Article: Macon, Inc
Author: Harold Kerzner
Macon was a fifty-year-old company in the business of developing test equipment for the tyre industry. The company had a history of segregated departments with very focused functional line managers. The company had two major technical departments: mechanical engineering and electrical engineering. Both departments reported to a vice president for engineering, whose background was always mechanical engineering. For this reason, the company focused all projects from a mechanical engineering perspective. The significance of the test equipment’s electrical control system was often minimized when, in reality, the electrical control systems were what made Macon’s equipment outperform that of the competition.
Because of the strong autonomy of the departments, internal competition existed. Line managers were frequently competing with one another rather than focusing on the best interest of Macon. Each would hope the other would be the cause for project delays instead of working together to avoid project delays altogether. Once dates slipped, fingers were pointed and the problem would worsen over time.
One of Macon’s customers had a service department that always blamed engineering for all of their problems. If the machine was not assembled correctly, it was engineering’s fault for not documenting it clearly enough. If a component failed, it was engineering’s fault for not designing it correctly. No matter what problem occurred in the field, customer service would always put the blame on engineering.
As might be expected, engineering would blame most problems on production claiming that production did not assemble the equipment correctly and did not maintain the proper level of quality. Engineering would design a product and then throw it over the fence to production without ever going down to the manufacturing floor to help with its assembly. Errors or suggestions reported from production to engineering were being ignored. Engineers often perceived the assemblers as incapable of improving the design.
Production ultimately assembled the product and shipped it out to the customer. Oftentimes during assembly, the production people would change the design as they saw fit without involving engineering. This would cause severe problems with documentation. Customer service would later inform engineering that the documentation was incorrect, once again causing conflict among all departments.
The president of Macon was a strong believer in project management. Unfortunately, his preaching fell upon deaf ears. The culture was just too strong. Projects were failing miserably. Some failures were attributed to the lack of sponsorship or commitment from line managers. One project failed as the result of a project leader who failed to control scope. Each day the project would fall further behind because work was being added with very little regard for the project’s completion date. Project estimates were based upon a "gut feel" rather than upon sound quantitative data.
The delay in shipping dates was creating more and more frustration for the customers. The customers began assigning their own project managers as "watchdogs" to look out for their companies’ best interests. The primary function of these "watchdog" project managers was to ensure that the equipment purchased would be delivered on time and complete. This involvement by the customers was becoming more prominent than ever before.
The president decided that action was needed to achieve some degree of excellence in project management. The question was what action to take, and when.
Source: Kerzner (2013)
Answer ALL the questions in this section.
Question 1 (10 Marks)
Identify and analyse the main project scope and time management issues at Macon, Inc.
Based on the provided article, the main project scope and time management issues at Macon, Inc. can be identified and analyzed as follows:1. Lack of consideration for electrical control systems: The company's focus on mechanical engineering perspective while minimizing the significance of electrical control systems is a major scope issue.
2. Internal competition and departmental autonomy: The segregated departments and the competitive mindset among line managers contribute to scope and time management issues. Rather than collaborating and working together in the best interest of Macon, the departments engage in finger-pointing and blame shifting, leading to project delays and worsening problems over time.
3. Blame culture between departments: The blame game between engineering, production, and customer service departments creates a hostile working environment and hampers effective project management. The lack of cooperation and communication between departments results in errors, documentation issues, and conflicts that further delay projects.
4. Lack of project management culture: Despite the president's belief in project management, there is a lack of ad and commitment from the company as a whole. Projects are failing due to inadequate sponsorship, scope control, and estimation techniques. Gut feelings rather than quantitative data are used to estimate project timelines, leading to unrealistic expectations and continual delays.
5. Customer involvement as "watchdogs": The increasing frustration of customers due to delayed shipments and incomplete equipment has led them to assign their own project managers as watchdogs. This highlights the lack of trust in Macon's project management capabilities and the urgent need for improvement in meeting customer expectations.
In summary, the main project scope and time management issues at Macon, Inc. revolve around the neglect of electrical control systems, internal competition, blame culture, inadequate project management practices, and increasing customer dissatisfaction. Addressing these issues requires a shift towards a collaborative and customer-centric approach, improving communication and coordination between departments, and implementing effective project management methodologies to ensure timely and successful project completion.
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The FRT Corporation is a large corporation with several different divisions producing a variety of products. The Silk Division produces a high-quality silk fabric. The Silk Division has the capacity to produce 49,000 rolls of fabric per month and the variable cost of each roll is $30. Currently, the Silk Division sells approximately 47,000 rolls of silk each month to customers for $45 per roll. Another division of FRT Corporation, the Scarf Division, is interested in using the silk to produce scarves, and they are interested in purchasing 25,000 rolls of silk fabric per month from the Silk Division. The Silk Division would not realize any savings in variable costs from selling the silk to another division instead of selling to outside customers. From the Silk Division's standpoint, the lowest acceptable transfer price would be:
o $45.00 per unit
o $43.80 per unit
o $30.00 per unit
o $28.80 per unit
The Minimum transfer price is $43.80.
In this given scenario, the Silk Division of FRT Corporation has the capacity to produce 49,000 rolls of silk fabric each month and the variable cost of producing each roll is $30. At present, the division is selling approximately 47,000 rolls of silk fabric per month to its customers at $45 per roll. Another division, the Scarf Division, has shown interest in buying 25,000 rolls of silk fabric from the Silk Division per month. Now, if the Silk Division sells silk fabric to the Scarf Division, it would not receive any savings in variable costs because it would not be reducing the production cost in any way. From the Silk Division's point of view, the minimum transfer price should be $43.80 per unit.Why is the minimum transfer price for the Silk Division $43.80 per unit?For transfer pricing, the selling division's minimum transfer price should be the variable cost of producing the product. If the division sells the product to another division for less than the variable cost, it would suffer a loss.
As a result, the division would lose money rather than gaining any benefit. The minimum transfer price is set to be the variable cost plus any opportunity cost forgone by the selling division in the next best alternative or the price at which it would sell the product in the market. The formula for minimum transfer price is:Minimum transfer price = variable cost per unit + opportunity cost per unitThe variable cost per unit of producing silk fabric is $30.The opportunity cost of selling silk fabric to Scarf Division is the revenue it would have generated by selling the silk fabric to outside customers, which is $45 per unit.In this case, the Silk Division should charge a minimum transfer price of variable cost plus opportunity cost which is $43.80 per unit.Minimum transfer price = variable cost per unit + opportunity cost per unitMinimum transfer price = $30 + ($45 - $30) * 25,000 / 47,000Minimum transfer price = $43.80 per unitHence, the correct option is $43.80 per unit.
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a) Explain briefly the main advantages and disadvantages of operating as a Joint Stock Company. (Establishment) company rather than as a General Partnership Business. (Your explanation should be related to the above scenario.
b) What are the legal formalities they have to undergo to operate business as a Joint Stock Company in Oman?
A Joint Stock Company (JSC) is a type of business entity where ownership is divided into shares, allowing multiple shareholders to invest in the company and enjoy limited liability protection.
a) Operating as a Joint Stock Company (JSC) offers several advantages over a General Partnership Business. One main advantage is the limited liability protection provided to shareholders. In a JSC, shareholders' liability is limited to their investment in the company, shielding them from personal liability for the company's debts and obligations. Additionally, JSCs have greater access to capital as they can raise funds by issuing shares to the public. This allows for easier expansion and growth opportunities. Moreover, JSCs offer continuity as the company's existence is not dependent on the individual shareholders, ensuring the longevity of the business.
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Which of the following scenarios illustrates the use of processed materials in manufacturing? No-Glut Inc. uses rice flour in the manufacture of its gluten-free products. Pace Corp., an automobile company, uses magnesium alloy wheels for its high-end cars. Reldex Steel Corp. Uses blast furnaces in its manufacturing process. Zintec Hardware uses nails to hold its ladders together.
The use of processed materials in manufacturing is evident in all of the four scenarios mentioned in the question.
Manufacturing industries all over the world make use of different materials to produce finished products.
Processed materials are materials that have been treated or processed to make them suitable for use in a particular manufacturing process. No-Glut Inc. Their gluten-free products are made with rice flour. Rice flour is processed, as the rice grains have been treated to turn them into flour.
Magnesium alloy wheels are used by the automotive manufacturer Pace Corp. for their high-end vehicles. Magnesium alloy wheels are also processed to be suitable for use in the manufacturing process.
Reldex Steel Corp. uses blast furnaces in its manufacturing process. The blast furnace itself is a piece of processed equipment, designed specifically for the manufacturing process at Reldex Steel.
Ladders made by Zintec Hardware are held together with nails. While nails themselves are not processed materials, they are made from raw materials that have been treated and processed to be suitable for use as nails.
The use of processed materials in the manufacturing process ensures that the finished products are of high quality.
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conmissiens, what weuld tave been your rate of roturn en this itwestment? Rownd your antwer to two docmal plecos. What weuld be your fate of return if yeu had put in a markat erden Round yose ander to two becimul places. What e voiut lime oriser was at 816? Since the narkat to 11 a the li-it ordar The stock of the Madson Travel Co. is selling for $30 a share. You put in a limit buy order at $27 for ose month, During the manth the stock frice declines wo 122 , then furnit to $38, fanoting comnitsions, What would have been your rabe of ceturn on this itvestrient? Rourd yoer antwer to twe decmal places. What wauld be your rate of resum if you had put in a market order? Reued vour anawer to two decimal places. What if your limit arder was at $13? Sirce the market to 518 the litis ocder
Given that the stock of Madison Travel Co. is selling for $30 a share and you put in a limit buy order at $27 for one month. During the month, the stock price declines to $22, then rises to $38. Find the rate of return on this investment if the commission was $150.The number of shares you could have bought with $27 is 150/27 = 5.55 shares. So, the total cost of your investment would be 5.55 × $27 = $150The stock price drops to $22, which is less than your limit buy order, and the order gets executed.
You buy 5.55 shares of Madison Travel Co. at $22 per share, spending $122.1 in total ($22 × 5.55).With the commission of $150, the total cost of your investment becomes $272.1. After one month, the stock price increases to $38. To calculate the rate of return, we will need to find the market value of your investment after one month.Market value = Number of shares × Market price per share = 5.55 × $38 = $210.9Gain or loss = Market value − Total cost = $210.9 − $272.1 = −$61.2As there is a loss of $61.2 on your investment, the rate of return is negative. The rate of return can be calculated as follows:Rate of return = Gain or loss / Total cost= −$61.2 / $272.1= −0.225 or −22.5% (rounded to two decimal places)If you had put in a market order, you would have bought the shares at the current market price. So, you would have bought 150/30 = 5 shares of Madison Travel Co. at $30 per share, spending $150 in total.After one month, the market value of your investment would be 5 × $38 = $190. Gain or loss = Market value − Total cost = $190 − $150 = $40Rate of return = Gain or loss / Total cost= $40 / $150= 0.267 or 26.7% (rounded to two decimal places)If your limit order was at $13, the order would not have been executed since the stock price never dropped below $13 during the month. So, you would not have bought any shares of Madison Travel Co.
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Sally consumes two goods, X and Y. Her utility function is given by the expression U=3XY 2
The current market price for X is $10, while the market price for Y is $5. Sally's current income is $500. a. Sketch a set of two indifference curves for Sally in her consumption of X and Y. b. Write the expression for Sally's budget constraint. Graph the budget constraint and determine its slope. c. Determine the X,Y combination which maximizes Sally's utility, given her budget constraint. Show her optimum point on a graph. (Partial units for the quantities are possible.) Note: MU X
=3Y 2
and MU Y
=6XY d. Calculate the impact on Sally's optimum market basket of an increase in the price of X to $15. What would happen to her utility as a result of the price increase?
a. Sketch a set of two indifference curves for Sally in her consumption of X and Y. Indifference curve 1 contains the X,Y combinations which give Sally a constant level of utility, say, 50. This curve is farther from the origin than indifference curve 2, which contains the X,Y combinations which give Sally a constant level of utility, say, 20. Indifference curve 1 is tangent to indifference curve 2 at the optimal point.
The given utility function is U = 3XY2.
a. A set of two indifference curves for Sally in her consumption of X and Y are shown below:
Indifference Curve 1 is given by U = 3xy2 = 50.
50 = 3xy2
=> xy2 = 50/3
=> y2 = 16.67/x
=> y = √(16.67/x)
Indifference Curve 2 is given by U = 3xy2 = 20.
20 = 3xy2
=> xy2 = 20/3
=> y2 = 6.67/x
=> y = √(6.67/x)
b. Sally's budget constraint is given by:
PX X + PY Y = I
10X + 5Y = 500
Slope of the budget line = -(PX/PY) = -2
Graph of the budget line:
c. To maximize Sally's utility, the MRS (marginal rate of substitution) between the two goods must be equal to the slope of the budget line, which is -2.
MRS = MUx/MUy
3y2 / 6xy = 1/2
=> x/y = 1/√2
Substituting y = √(16.67/x),
x/(√16.67/x) = 1/√2
=> x = 5 and y = 5√(2/5)
The X,Y combination which maximizes Sally's utility is (5, 5√(2/5)).
Optimum point on the graph:
d. If the price of X increases to $15, the new budget line equation is 15X + 5Y = 500.
New optimal X is given by 15X + 5Y = 500 and X = 20. Y = 4√5.
New optimum market basket = (20, 4√5)
To calculate the utility difference between the two market baskets, U1 and U2, calculate U2 – U1:
U1 = 3xy2 = 3(5)(5√(2/5))2 = 75
U2 = 3xy2 = 3(20)(4√5)2 = 1920
U2 - U1 = 1845
Therefore, Sally's utility would increase by 1845 units if the price of X increases to $15.
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