Green lawn manufacturers lawnmowers, weed trimmers and chain saws. Its sales mix and contribution margin per unit are as follows: Sales MiM per Unit Lawnmowers 10% Weed Trimmer 50% Chain Saws 40% $ 40 $ 25 $ 50 Fixed Costs are $ 5,480,000 Required: a) Compute the number of units of each product the Green Lawn must sell in order to break even. 10 Marks

Answers

Answer 1

Green Lawn must sell 137,000 units of Lawnmowers, 219,200 units of Weed Trimmers, and 109,600 units of Chain Saws to break even. To compute these we use the contribution margin ratio for each product.

The contribution margin ratio is calculated by dividing the contribution margin per unit by the sales price per unit.

Lawnmowers:

Contribution Margin Ratio
= Contribution Margin per Unit / Sales Price per Unit = $40 / $40 = 1

Weed Trimmers:

Contribution Margin Ratio
= Contribution Margin per Unit / Sales Price per Unit = $25 / $25 = 1

Chain Saws:

Contribution Margin Ratio
= Contribution Margin per Unit / Sales Price per Unit = $50 / $50 = 1

Since the contribution margin ratio for each product is 1 (100%), it means that the contribution margin per unit is equal to the sales price per unit for all products. This indicates that the entire sales price covers the variable costs and no fixed costs are being deducted from the contribution.

To compute the number of units of each product required to break even, we divide the total fixed costs by the contribution margin per unit for each product.

Total Fixed Costs: $5,480,000

Lawnmowers:

Number of Lawnmowers = Total Fixed Costs / Contribution Margin per Unit = $5,480,000 / $40 = 137,000

Weed Trimmers:

Number of Weed Trimmers = Total Fixed Costs / Contribution Margin per Unit = $5,480,000 / $25 = 219,200

Chain Saws:

Number of Chain Saws = Total Fixed Costs / Contribution Margin per Unit = $5,480,000 / $50 = 109,600

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Related Questions

The demand curve and supply curve for one-year discount bonds with a face value of $1,050 are represented by the following equations: B d
:
B s. :

Price =−0.6 Quantity +1,140
Price = Quantity +700

The expected equilibrium quantity of bonds is (Round your response to the nearest whole number.) The expected equilibrium price of bonds is $. (Round your response to the nearest whole number.) The expected interest rate in this market is \%. (Round your response to two decimal places.)

Answers

The expected equilibrium quantity of bonds is 275, the expected equilibrium price of bonds is $975 and the expected interest rate in this market is 7.69%.

Bd: Price = -0.6 Quantity + 1,140

Bs: Price = Quantity + 700

To calculate the expected equilibrium quantity of bonds, we have to equalize both supply and demand functions. We can do this by equating the prices: Price

D = PriceSor-0.6Q+1,140 = Q+700

Solving for Q,-0.6Q - Q = -440Q (1.6) = 440Q = 275

Equilibrium quantity of bonds is 275.

The expected equilibrium price of bonds is obtained by putting Q = 275 in either of the equations:

Price = -0.6 Quantity + 1,140 or Price = Quantity + 700Price

D = -0.6(275) + 1,140= $970orPriceS = 275 + 700= $975

Expected equilibrium price of bonds is $975.

The formula to calculate the expected interest rate in this market is:R = F-P/P where, R = Expected interest rate

F = Face value of the bond

P = Price of the bond

For a $1,050 face value bond, the expected interest rate will be,

R = 1,050 - 975/975= 0.0769 or 7.69%.

Therefore, the expected equilibrium quantity of bonds is 275, the expected equilibrium price of bonds is $975 and the expected interest rate in this market is 7.69%.

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Generator Contract Management (20) A generator has 100MWh generation capacity and has the following production cost curve C(q)=200+20q+0.1q^2
It enters the operating day with the following contracts: - Seller of a forward contract of 30$/MWh and a quantity of 10MWh; - Seller of a forward contract of 50$/MWh and a quantity of 5MWh; - Buyer of a forward contract of 25$/MWh and a quantity of 5MWh; - A 5MWh put option with 28$/MWh exercise price, the option fee is $100. - A 10MWh call option with 30$/MWh exercise price, the option fee is $50. - A 5MWh call option with 35$/MWh exercise price, the option fee is $50. Calculate the generator output power and option exercises to maximize its profit if (assume the generator cannot be shut down) 1. The spot market price is $22/MWh;(10) 2. The spot market price is $33/MWh. (10)

Answers

To maximize the generator's profit, we need to calculate the generator output power and option exercises under two scenarios: 1. Spot market price is $22/MWh:

Step 1: Calculate the marginal cost: The marginal cost is the derivative of the production cost curve with respect to quantity. C'(q) = 20 + 0.2q Step 2: Determine the generator's output power: To maximize profit, the generator will produce up to its generation capacity until the marginal cost equals the spot market price. 22 = 20 + 0.2q 2 = 0.2q q = 10 MWh The generator's output power will be 10 MWh. Step 3: Analyze the contracts and options: - The generator has a forward contract to sell 10 MWh at $30/MWh. - The generator has a put option to sell 5 MWh at $28/MWh. - The generator has a call option to sell 10 MWh at $30/MWh. Step 4: Calculate the profit: The profit from the forward contract is (30 - 22) * 10 = $80. The profit from the put option is max(28 - 22, 0) * 5 - $100 = $10. The profit from the call option is max(30 - 22, 0) * 10 - $50 = $80. The total profit is $80 + $10 + $80 = $170. 2. Spot market price is $33/MWh: Step 1: Calculate the generator's output power: 33 = 20 + 0.2q 13 = 0.2q q = 65 MWh The generator's output power will be 65 MWh. Step 2: Analyze the contracts and options: - The generator has a forward contract to sell 10 MWh at $30/MWh. - The generator has a forward contract to sell 5 MWh at $50/MWh. - The generator has a put option to sell 5 MWh at $28/MWh. - The generator has a call option to sell 10 MWh at $30/MWh. - The generator has a call option to sell 5 MWh at $35/MWh. Step 3: Calculate the profit: The profit from the forward contracts is (30 - 33) * 10 + (50 - 33) * 5 = $145. The profit from the put option is max(28 - 33, 0) * 5 - $100 = -$75 (option is not exercised). The profit from the call options is max(30 - 33, 0) * 10 + max(35 - 33, 0) * 5 - $50 - $50 = $10. The total profit is $145 + (-$75) + $10 = $80. In conclusion, when the spot market price is $22/MWh, the generator's profit will be $170. When the spot market price is $33/MWh, the generator's profit will be $80.

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1. The regulatory process in which product performance is measured, compared against standards, and corrected as needed is called A. customer service. B. quality assurance. C. quality control. O D. TQM.

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The regulatory process in which product performance is measured, compared against standards, and corrected as needed is called quality control. Hence, the correct option is C. Quality control.

Quality control is a process in which an organization performs an examination of products, services, and processes to ensure that they meet or exceed predetermined requirements. The primary goal of quality control is to guarantee that the product or service meets both internal and external demands and expectations.

In this way, quality control is an essential aspect of quality assurance that involves the examination of a product or service to detect flaws and errors that may affect the quality of the end product. Quality control works hand in hand with quality assurance to ensure that the final product meets the required standards.

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An annual report is used to describe the company’s (Walmart) financial conditions and operations so that both current and potential share holders can make informed choices about investing into the company.

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An annual report is a document that presents a company's financial condition and operations to both current and potential shareholders, providing them with information to make informed decisions about investing in the company.

For Walmart, this report serves to give a summary of the company's financial performance, including its revenue, profits, and expenses, as well as its long-term plans and objectives. It provides a detailed analysis of Walmart's operations and includes information about the company's corporate governance, management, and any risks that may impact its future performance.

Overall, an annual report is a vital tool for any publicly traded company, as it helps to establish transparency and trust with investors and stakeholders. It gives them an opportunity to understand the company's financial performance and make informed choices about investing in the company, thereby building a strong foundation for long-term growth and success.

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Complete question:

An annual report is used to describe the company’s (Walmart) financial conditions and operations so that both current and potential share holders can make informed choices about investing into the company?

Do you see commonalities between Fayol’s principles of management from 1911 and those of Tom Peters in the 1990s? Explain the theories and highlight 2 common interests.

Answers

Yes, there are commonalities between Fayol's principles of management and Tom Peters' principles of management. Both of them have outlined similar principles of management that have been used by various organizations throughout history.

Tom Peters, on the other hand, developed his principles of management in the 1990s, which included a focus on empowering employees, encouraging innovation, and continuous improvement. He emphasized the importance of flexibility, adaptability, and agility in order to succeed in today's dynamic business environment.

Two common interests between the two principles of management are:

1. Focus on Planning: Both Fayol and Peters emphasized the importance of planning in their principles of management. They both believed that planning is essential for achieving organizational goals and objectives.

2. Importance of Motivation: Fayol and Peters both emphasized the importance of motivation in their principles of management. They believed that employees must be motivated and empowered in order to achieve organizational goals and objectives.

In conclusion, although Fayol's principles of management were developed almost a century before Peters', both of these principles share many commonalities in their focus on planning and motivation. They are both highly relevant to modern management practices and can be used to improve organizational efficiency, effectiveness, and competitiveness.

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The four perspectives used in the measurement applied to the balanced scorecard include which of the following?
a. Financial, customer, internal business, and learning and growing.
b. Financial, competitor, internal business, and learning and growing.
c. Financial, competitor, external business, and learning and growing.
d. Financial, customer, external business, and learning and rowing.

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The correct answer is option Financial, customer, internal business, and learning and growing.The balanced scorecard (BSC) is a strategic planning.

management system that organizations use to align their business activities to the strategy and vision of the organization by monitoring performance and subsequently make strategic decisions.The BSC incorporates four key perspectives, namely; Financial, Customer, Internal Business Processes, and Learning & Growth. The BSC takes into account more than just financial measures;

Financial Perspective: This perspective measures the organization's financial performance and tracks whether the organization is meeting its financial goals. Internal Business Perspective: This perspective evaluates the organization's ability to learn and grow, including employee training and development, knowledge management, and innovation.

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Moepathutse Ltd is considering changing its credit terms from 3/15 net 30, to 5/10 net 60. All sales are on credit and at present 70% of the customers take advantage of the 3% early settlement discount. However, under the new credit policy, only 60% of the customers are expected to take advantage of the early settlement discount and the average collection period is expected to increase from the current 20 days to 30 days. Sales are also expected to increase from R240m to R270m if the new terms are used. It is estimated that the gross profit margin will remain unchanged at 20%. Bad debt losses amount to 2% of sales for which early settlement discounts are not taken. The opportunity cost associated with an investment in working capital is 10% per annum.
(a) Calculate the change in gross profit (b) Calculate the change in the carrying cost of accounts receivable (c) What is the negative effect on net income as a result of the change in cost of carrying receivables (d) Calculate the bad debt losses (e) Evaluate and conclude on the impact of a new credit policy will be on profitability

Answers

To evaluate the impact of the new credit policy on profitability, we need to calculate various financial measures. Let's go through each calculation step by step:

(a) Change in Gross Profit:

Current Sales = R240 million

New Sales = R270 million

Gross Profit Margin = 20%

Current Gross Profit = Current Sales * Gross Profit Margin

= R240 million * 20%

= R48 million

New Gross Profit = New Sales * Gross Profit Margin

= R270 million * 20%

= R54 million

Change in Gross Profit = New Gross Profit - Current Gross Profit

= R54 million - R48 million

= R6 million

The change in gross profit due to the new credit policy is R6 million.

(b) Change in Carrying Cost of Accounts Receivable:

Current Average Collection Period = 20 days

New Average Collection Period = 30 days

Current Carrying Cost of Accounts Receivable = (Current Sales * Current Average Collection Period * Carrying Cost Rate) / 365 days

= (R240 million * 20 days * 10%) / 365 days

= R1.315 million

New Carrying Cost of Accounts Receivable = (New Sales * New Average Collection Period * Carrying Cost Rate) / 365 days

= (R270 million * 30 days * 10%) / 365 days

= R2.739 million

Change in Carrying Cost of Accounts Receivable = New Carrying Cost - Current Carrying Cost

= R2.739 million - R1.315 million

= R1.424 million

The change in carrying cost of accounts receivable due to the new credit policy is R1.424 million.

(c) Negative Effect on Net Income:

Negative Effect on Net Income = Change in Carrying Cost - Bad Debt Losses

= R1.424 million - Bad Debt Losses

(d) Bad Debt Losses:

Sales without Early Settlement Discount = Current Sales * (1 - % of customers taking advantage of early settlement discount)

= R240 million * (1 - 70%)

= R72 million

Bad Debt Losses = Sales without Early Settlement Discount * Bad Debt Loss Rate

= R72 million * 2%

= R1.44 million

The bad debt losses are R1.44 million.

(e) Evaluation and Conclusion:

To evaluate the impact on profitability, we need to consider the change in gross profit, change in carrying cost, and bad debt losses. If the change in carrying cost is greater than the bad debt losses, it will have a negative effect on net income.

In this case, the change in carrying cost is R1.424 million, and the bad debt losses are R1.44 million. Therefore, the negative effect on net income would be R1.424 million - R1.44 million = -R16,000.

Based on these calculations, implementing the new credit policy would have a slight negative impact on net income. However, it is important to consider other factors such as potential increase in sales and customer satisfaction when evaluating the overall impact on profitability.

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Eles from the Internet can contain viruses. Unless you need to edit, it's safe to stay in Protected View Enable Editing Case 6.3: The Helsinki Museum of Art and Design 1. Critique the WtA gap analysis. Could there be other explanations for the gaps? 2. Make recommendations for closing the gaps found in the WtA.

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The terms 'Protected View' and 'Enable Editing' to be included, it is assumed that this solution is about Microsoft Office, most likely Microsoft Word. Therefore, the solution to Case 6.3 will be on the computer that runs.

Unless you need to edit, it's safe to stay in Protected View Enable Editing. The above statement is true as a document that is downloaded from the internet can contain viruses. The Protected View mode is a default view in Office Word 2010 and later versions to protect users from documents that are downloaded from the Internet.

The Protected View mode helps protect your computer from various threats like viruses, ransomware, and malware by allowing only the user to view the document and disabling any functionality in the document that could be a potential threat. If a document in Protected View mode requires editing, the user can click on the "Enable Editing" button at the top of the screen to make changes to the document.

It is recommended that the Protected View mode is not disabled as it could lead to a potential threat to your computer.In this case, the Helsinki Museum of Art and Design needs to evaluate its website to find gaps in its website. These gaps were identified in a Web-to-Anything (WtA) gap analysis. Below are the critiques and recommendations for the case:

1. Critique the WtA gap analysis. Could there be other explanations for the gaps? WtA gap analysis is a technique used to find gaps in a website and compare it to its expected behavior. The Helsinki Museum of Art and Design used a WtA gap analysis and found the following gaps: There are several missing links on the site that make it difficult to find information.The museum’s exhibits are only available in Finnish.

The content of the museum’s website is outdated and irrelevant. The website is not optimized for mobile devices.There is a lack of social media presence for the museum. There is a gap between the services offered by the museum and what is expected by visitors. There could be other explanations for the gaps identified in the WtA analysis. The website might not have been updated in a long time, or there could have been errors made in the development process of the website.

2. Make recommendations for closing the gaps found in the WtA. The following are recommendations for closing the gaps found in the WtA analysis: The museum should update the website and remove any outdated information. The museum should translate the exhibits to multiple languages to cater to a diverse audience. The website should be optimized for mobile devices to cater to users that access the website on mobile devices.

The museum should increase its social media presence and advertise its exhibits. The museum should add more links on its website to make it easier to navigate and find information.

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Discuss the strengths of using the payback period as the method to evaluate an investment project. Explain whether this method would give a good indication of the project's risk or not.

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The payback period is a method used to evaluate investment projects. It calculates the time it takes to recover the initial investment. One strength of using the payback period is its simplicity. It is easy to calculate and understand, making it accessible to a wide range of users.

Additionally, the payback period provides a quick assessment of how long it will take to recoup the investment, which can be useful for short-term projects or when liquidity is a concern.

However, the payback period does not take into account the time value of money or cash flows beyond the payback period. It does not consider the profitability of the project or the potential risks involved. Therefore, it is not a comprehensive measure of the project's risk.

To evaluate risk, other methods like net present value or internal rate of return should be considered, as they incorporate the time value of money and provide a better assessment of the project's profitability and risk.

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Trader Joe's Case
Identify and discuss the strategic business model of the
case.

Answers

The strategic business model of Trader Joe's case is centered on offering its customers a unique shopping experience that emphasizes quality products at affordable prices.


The company's strategic business model has helped it to differentiate itself from its competitors, and as a result, it has been able to maintain high levels of customer loyalty and repeat business. Trader Joe's has also been able to keep its prices low by buying its products in bulk and selling them directly to consumers. This business model has allowed the company to maintain strong profitability even during tough economic times.
In conclusion, Trader Joe's strategic business model is centered on offering a unique shopping experience that emphasizes quality products at affordable prices. By offering a limited selection of products, the company is able to focus on providing the highest quality products at the lowest prices possible. This has helped the company to differentiate itself from its competitors and build a loyal customer base that keeps coming back.

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A firm’s objectives:
a. Must be developed through years of trial and error experience.
b. May be viewed as simply a bundle of strategies and tactics.
c. Are results to be attained on or before a certain date.
d. Are the actual actions and operations that are necessary to execute strategies.

Answers

The statement that is true regarding a firm's objectives is "c. Are results to be attained on or before a certain date."

Explanation: A firm's objectives may be viewed as simply a bundle of strategies and tactics. Objectives are results to be attained on or before a certain date. They should be specific, quantifiable, and time-bound, with a deadline for their completion. Objectives must also be attainable, measurable, and relevant to the firm's larger objectives.

A firm's objectives should include the actual actions and operations that are necessary to execute strategies. Objectives must be developed through years of trial-and-error experience to ensure their effectiveness, and they should be flexible enough to adjust to changing circumstances.

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At December 31, 2020, Tojosa Corporation reported a deferred tax liability of $240,000 which was attributable to a taxable temporary difference of $800,000. The temporary difference is scheduled to reverse in 2024. In 2021, a new tax law increased the corporate tax rate from 20% to 35%.
How should Tojosa Corporation report this change?
Solution
$ 800,000 X(35%-20%) = 120,000. Tojosa Corporation should record this change by debiting income tax expense for $ 120,000.

Answers

According to the given scenario, Tojosa Corporation reported a deferred tax liability of $240,000 on December 31, 2020, which was related to a taxable temporary difference of $800,000.

The temporary difference is scheduled to reverse in 2024. In 2021, a new tax law increased the corporate tax rate from 20% to 35%.To report the change, Tojosa Corporation should debit income tax expenses for $120,000. The change in the corporate tax rate would result in a higher tax expense for Tojosa Corporation. The calculation of the tax expense increase is as follows:$800,000 × (35% - 20%) = $120,000.

Therefore, Tojosa Corporation should record this change by debiting income tax expenses for $120,000.

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Required information [The following information applies to the questions displayed below.] On January 1, 2024. Twister Enterprises, a manufacturer of a variety of transportable spin rides, issues $520,000 of 7% bonds, due in 15 years, with interest payable semiannually on June 30 and December 31 each year. 2. If the market interest rate is 8%, the bonds will issue at $475,041. Record the bond issue on January 1,2024 , and the first two semiannual interest payments on Juhe 30, 2024, and December 31, 2024. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field. Round your answers to the nearest dollar amount.) serect No Journal thtry Kequired in the rirst account rield. Kound your answers to the nearest o Journal entry worksheet Record the first semiannual interest payment. Notes Enter debits before credits.

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On January 1, 2024, Twister Enterprises, a manufacturer of a variety of transportable spin rides, issues $520,000 of 7% bonds, due in 15 years, with interest payable semiannually on June 30 and December 31 each year.

If the market interest rate is 8%, the bonds will issue at $475,041.Recording the bond issue on January 1, 2024, and the first two semiannual interest payments on June 30, 2024, and December 31, 2024:Jan 1, 2024:Bonds Receivable $475,041Discount on Bonds Payable $44,959Bonds Payable $520,000This is a journal entry for issuing bonds at a discount for Twister Enterprises.June 30, 2024:Interest Expense $16,800Discount on Bonds Payable $1,159Cash $15,641December 31, 2024:Interest Expense $16,800Discount on Bonds Payable $1,200Cash $15,600This is a journal entry for semi-annual interest payment for Twister Enterprises. 

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What is the equity at the beginning of the year? 2) What is the equity at the end of the year? Beginning Equity Ending Equity 3) If the company issues common stock of $5,800 and pay dividends of $42,200, 4) If net income is $3,300 and dividends are $5,000, how much is common how much is net income (loss)? stock? Net Income (Loss) Common Stock 5) If the company issues common stock of $17,900 and net income is $16,200, 6) If the company issues common stock of $43,600 and pay dividends of how much is dividends? $3,800, how much is net income (loss)? Dividends Net Income (Loss)

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If the company issues common stock of $5,800 and pays dividends of $42,200, the common stock increases by $5,800, and the equity decreases by $42,200.

The equity at the beginning of the year is not provided in the given information. To determine the beginning equity, we would need additional details such as the previous year's ending equity or any additional investments or withdrawals made at the start of the year. The equity at the end of the year is also not provided in the given information. We would need more details regarding the company's transactions, including revenues, expenses, additional investments, withdrawals, and any changes in retained earnings, to calculate the ending equity. If the company issues common stock of $5,800 and pays dividends of $42,200, the common stock increases by $5,800, and the equity decreases by $42,200. If net income is $3,300 and dividends are $5,000, the net income (loss) would be -$1,700 ($3,300 - $5,000), indicating a net loss.

The common stock remains unchanged in this scenario. If the company issues common stock of $17,900 and net income is $16,200, the common stock increases by $17,900, and the equity increases by $16,200.If the company issues common stock of $43,600 and pays dividends of $3,800, the common stock increases by $43,600, and the dividends decrease the equity by $3,800. The net income (loss) is not provided in this scenario, so it cannot be determined without additional information.

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According to the welfare analysis we did using the Supply and Demand model, why do price controls make markets less efficient? They transfer surplus from consumers to producers They transfer surplus from producers to consumers They increase sales compared to market equilibrium They create deadweight loss compared to market equilibrium

Answers

According to the welfare analysis done using the Supply and Demand model, price controls make markets less efficient because they create deadweight loss compared to market equilibrium.

 What is Equilibrium? Equilibrium refers to the state of balance or stability that the market attains when the supply and demand curves intersect. The point of intersection determines the market's equilibrium price and quantity, which is also known as the market-clearing price and quantity. Price controls come in the form of a price ceiling or a price floor. A price ceiling is the maximum price that a good or service may be sold for, while a price floor is the minimum price at which a good or service must be sold.

 Both forms of price control have an impact on the market. They create either a shortage or a surplus, depending on whether the price is lower or higher than the equilibrium price. As a result, they distort the market's ability to allocate resources efficiently and create deadweight loss (DWL).Price controls create deadweight loss (DWL) by distorting the market's ability to allocate resources efficiently.

They create either a shortage or a surplus, depending on whether the price is lower or higher than the equilibrium price. The DWL that arises from price controls represents a loss of value that could have been generated by the market but was not.

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XYZ has a current accounts receivable balance of $309953. Credit sales for the year just ended were $4141013. What is the company's receivables turnover? (Round your answer to 2 decimal places, e.g. 23.87) This year's income statement shows that ABC company has EBIT (Earnings Before Interest and Taxes) of $103599 and interest expense of $33586. What is the value of TIE ratio (Times-Interest-Earned ratio) for this company according to this year's income statement? (Round your final answer to 2 decimal places, e.g. 110.10) This year's income statement shows that ABC company has Net Income of $94298, tax expense of $15118 and interest expense $47204. What is the value of TIE ratio (Times-Interest-Earned ratio) for this company according to this year's income statement? (Round your final answer to 2 decimal places, e.g. 110.10)

Answers

The answer is, the value of the TIE ratio for ABC company is 2.82.

How is this  found?

The receivables turnover is calculated by dividing the net credit sales by the average accounts receivable. Here, we can calculate the receivables turnover as follows;`

Receivables turnover = Credit Sales / Accounts receivable`.

Where, Credit Sales = $4141013

Accounts receivable = $309953.

So, `Receivables turnover = 4141013 / 309953

= 13.35`.

Therefore, the receivables turnover ratio for XYZ company is 13.35.

The TIE ratio (Times Interest Earned Ratio) is calculated by dividing the earnings before interest and taxes (EBIT) by the interest expense. Here, we can calculate the TIE ratio as follows;`

TIE ratio = Earnings Before Interest and Taxes (EBIT) / Interest Expense`a) `TIE ratio = $103599 / $33586

= 3.08`.

Therefore, the value of the TIE ratio for ABC company is 3.08.

b) `TIE ratio = (Net Income + Interest Expense + Tax Expense) / Interest Expense`.

Here, Net Income = $94298

Interest Expense = $47204

Tax Expense = $15118

So, `TIE ratio = (94298 + 47204 + 15118) / 47204

= 2.82`.

Therefore, the value of the TIE ratio for ABC company is 2.82.

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Which one of the following statements is incorrect?
A. When a marginal value is positive and greater than the preceding average value, the average value rises.
B. To derive consumer equilibrium, both the prices of the products and the consumer’s income have to be taken into account.
C. When a total value decreases, it implies that the corresponding marginal value is negative.
D. A consumer is in equilibrium when his marginal utility is at a maximum
E. A consumer who spends her income on four products is in equilibrium when the weighted marginal utilities of a combination of the products that she can afford to purchase are equal.

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The incorrect statement among the options provided is option C: "When a total value decreases, it implies that the corresponding marginal value is negative."

A. When a marginal value is positive and greater than the preceding average value, the average value rises: This statement is correct. When the marginal value is positive and greater than the average value, it means that the additional value gained is higher than the average, causing the average value to rise. B. To derive consumer equilibrium, both the prices of the products and the consumer’s income have to be taken into account: This statement is correct. Consumer equilibrium is achieved when the consumer maximizes their satisfaction given their budget constraints, which involves considering both the prices of products and the consumer's income. C. When a total value decreases, it implies that the corresponding marginal value is negative: This statement is incorrect. When the total value decreases, it does not necessarily mean that the corresponding marginal value is negative. The marginal value can be positive or zero even when the total value decreases. D. A consumer is in equilibrium when his marginal utility is at a maximum: This statement is correct. Consumer equilibrium occurs when the consumer maximizes their satisfaction by allocating their budget in a way that the marginal utility (additional satisfaction) from the last unit of consumption of each good is equal. E. A consumer who spends her income on four products is in equilibrium when the weighted marginal utilities of a combination of the products that she can afford to purchase are equal: This statement is correct. In consumer equilibrium, the consumer allocates their income in a way that the marginal utility per dollar spent on each product is equal. This ensures the consumer maximizes their satisfaction given their budget constraints.

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1. Today is 1 July 2021, William plans to purchase a corporate bond with a coupon rate of j2 = 4.99% p.a. and face value of 100. This corporate bond matures at par. The maturity date is 1 January 2024. The yield rate is assumed to be j2 = 3.53% p.a. Assume that this corporate bond has a 8.5% chance of default in any six-month period during the term of the bond. Assume also that, if default occurs, William will receive no further payments at all. Calculate the purchase price for 1 unit of this corporate bond. Round your answer to three decimal places.
a. 104.195
b. 102.458
c. 67.935
d. 63.326

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The purchase price for 1 unit of this corporate bond is approximately 104.195.

To calculate the purchase price of the corporate bond, we need to determine the present value of the future cash flows associated with it. The cash flows include the coupon payments and the face value at maturity.

The coupon payments can be calculated by multiplying the coupon rate by the face value and dividing by the number of periods per year. In this case, since the coupon rate is 4.99% p.a., the annual coupon payment is (4.99/100) * 100 = 4.99.

Next, we need to discount these cash flows to their present value using the yield rate. Since the yield rate is given as 3.53% p.a., we need to determine the discount factor for each cash flow.

To calculate the discount factor, we use the formula: Discount factor = 1 / (1 + yield rate/2)^(number of periods). Here, the number of periods is the number of six-month periods from the purchase date (1 July 2021) to the maturity date (1 January 2024). This comes out to be 5 periods.

Now, we can calculate the present value of the cash flows. The present value of the coupon payments is the sum of the discounted coupon payments for each period. In this case, the present value of the coupon payments is (4.99/2) * (1/((1+0.0353/2)^1)) + (4.99/2) * (1/((1+0.0353/2)^2)) + ... + (4.99/2) * (1/((1+0.0353/2)^5)).

The present value of the face value at maturity is (100) * (1/((1+0.0353/2)^5)).

Adding these present values together gives us the purchase price for 1 unit of the corporate bond, which is approximately 104.195.

The purchase price for 1 unit of this corporate bond is approximately 104.195. This calculation takes into account the coupon payments, face value at maturity, and the discounting of future cash flows based on the yield rate.

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2 For a 1-year European call option on a stock whose prices are modeled with a binomial tree: (i) The tree has 2 periods. (ii) The tree is constructed based on forward prices. (iii) The stock price is 42 . (iv) The strike price is 35 . (v) The continuously compounded risk-free interest rate is 0.05. (vi) The stock pays no dividends. (vii) σ=0.1. Determine the option's premium.

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To determine the premium of the European call option, we can use the binomial tree model. The premium of the European call option is 3.864.


In this case, the tree has 2 periods, meaning there are 3 possible stock prices at the end of the second period:

1. Up-Up: The stock price increases by a factor of (1 + σ) twice.
2. Up-Down/Down-Up: The stock price increases by a factor of (1 + σ) once and decreases by a factor of (1 - σ) once.
3. Down-Down: The stock price decreases by a factor of (1 - σ) twice.


Given that the stock price is currently 42, we can calculate the potential stock prices at the end of the second period using the binomial tree model.

1. Up-Up: (42) * (1 + σ) * (1 + σ) = 46.86
2. Up-Down/Down-Up: (42) * (1 + σ) * (1 - σ) = 39.06
3. Down-Down: (42) * (1 - σ) * (1 - σ) = 34.84


Next, we calculate the payoffs for each possible stock price at the end of the second period. The payoff for a call option is the maximum of 0 and the difference between the stock price and the strike price.

1. Up-Up: max(0, 46.86 - 35) = 11.86
2. Up-Down/Down-Up: max(0, 39.06 - 35) = 4.06
3. Down-Down: max(0, 34.84 - 35) = 0


Now, we calculate the option values at each node of the tree, starting from the end and moving backward. We discount the payoffs using the risk-free interest rate and the time period.

1. Up-Up: (0.5) * (11.86 * e^(-0.05 * 1)) = 5.755
2. Up-Down/Down-Up: (0.5) * (4.06 * e^(-0.05 * 1)) = 1.973
3. Down-Down: (0.5) * (0 * e^(-0.05 * 1)) = 0



Finally, we calculate the option value at the initial node of the tree, which represents the option's premium:

Option premium = (0.5) * [(5.755 + 1.973) * e^(-0.05 * 1)] = 3.864

Therefore, the premium of the European call option is 3.864.

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Your hair is very busy today and your team is having trouble keeping up you notice several co-workers on their cell phones and not doing their share what would you most and least likely to do

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In a situation where my hair is busy and my team is having trouble keeping up, and I notice several co-workers on their cell phones and not doing their share, there are several actions I would be most and least likely to take:

Most likely:

1. Address the issue directly: I would approach the co-workers individually or as a group and express my concern about their lack of productivity and engagement. I would inquire about any challenges they might be facing and offer assistance if needed. This direct communication can help clarify expectations and encourage accountability.

2. Delegate tasks: I would identify specific tasks that need immediate attention and assign them to the co-workers who are not currently occupied. By clearly delegating responsibilities, I can help redirect their focus and ensure that work is being accomplished effectively.

3. Offer support and guidance: If the co-workers are struggling with their tasks, I would provide guidance and support to help them overcome any obstacles. This could involve offering advice, sharing resources, or providing additional training if necessary. By showing empathy and offering assistance, I can foster a sense of teamwork and motivate them to contribute to the team's success.

Least likely:

1. Ignore the situation: Ignoring the issue may lead to further productivity issues and resentment among team members. It is important to address problems promptly to maintain a positive work environment and ensure that the team's goals are being met.

2. Confrontation or reprimanding: While it may be tempting to confront the co-workers in a confrontational or reprimanding manner, this approach can create a hostile atmosphere and damage relationships. It is more effective to approach the situation with empathy and seek understanding before jumping to conclusions or assigning blame.

3. Taking over all the work: While it may be tempting to take over all the tasks to ensure they are completed on time, this approach can create dependency and enable the co-workers to continue their unproductive behavior. It is important to empower and encourage them to take responsibility for their assigned tasks while providing necessary support.

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Describe your commodity and the market that commodity targets (geographic or demographic). - State when, how, and why the commodity has became popular or less popular. - State the factors (demand determinants and supply determinants) that have cattsed its supply and demand to change and how those changes affected it price. Basically, why has demand and supply for that commodity changed? - Data - Obtain data from at least three credible sources (not Wikipedia) to provide facts about the changes in demand and supply. - Usc tables, graphs, and figures to support your argument. You could use figures that show the changes in demand and supply, as well as changes in the market Revised 03/04/2020 price for the commodity. - Analysir Use the findiagsifron your dats section to fally explain the zrowth or decline pattens of the supply and demand Is the commodity growing or is it decliaing, and why? if it in growing state the factors that led to its gewwith. If it is docliaing, atste the facton that fed to its decline.

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Commodity Description & Target Market Bicycles are a form of human-powered vehicle that is commonly used for transportation, exercise, and recreation.

It targets both adults and children as its market. Generally, the primary target market of bicycles is individuals who live in urban areas, have low to moderate incomes, and who seek a convenient, affordable, and healthy way of commuting. Bicycles are sold throughout the world in various forms, including road, racing, and mountain bikes. Popularity of Bicycles & Reasons Bicycles have become more popular recently because of the coronavirus pandemic. Many people have turned to cycling for transportation because it allows them to avoid public transportation and to maintain social distancing protocols. Furthermore, bicycles have gained popularity due to the growing trend towards eco-friendliness and sustainability, and the desire for healthy lifestyle choices.

Demand & Supply Determinants & How Changes Affect Prices The determinants of bicycle supply and demand are influenced by the availability of bicycles and accessories, market competition, consumer preferences, price, and income.

When there is a low supply of bicycles, demand will increase, and the price will go up. When the price goes up, the number of units sold may decrease due to the high price. On the other hand, when there is a high supply of bicycles, the demand will decrease, and the price will go down. When the price goes down, the number of units sold may increase due to the affordability.

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Suppose that an increase in the price of hamburgers from $4 to $6 caused the quantity demanded for tacos to increase from 2250 to 2750. Use the midpoint method to compute the cross-price elasticity of demand

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To compute the cross-price elasticity of demand using the midpoint method, we need the initial and final prices and quantities for both hamburgers and tacos.

The given data is as follows:

Initial price of hamburgers: $4

Final price of hamburgers: $6

Initial quantity of tacos: 2250

Final quantity of tacos: 2750

We can use the following formula to calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = [(Q2 - Q1) / ((Q2 + Q1) / 2)] / [(P2 - P1) / ((P2 + P1) / 2)]

Substituting the given values into the formula:

Change in quantity of tacos (Q2 - Q1) = 2750 - 2250 = 500

Average quantity of tacos = [tex]\frac{(Q2 + Q1)}{2}[/tex] = [tex]\frac{2750 + 2250}{2}[/tex] = 2500

Change in price of hamburgers (P2 - P1) = $6 - $4 = $2

Average price of hamburgers [tex]\frac{(P2 + P1)}{2}[/tex] = [tex]\frac{(6 + 4)}{2}[/tex] = $5

Cross-Price Elasticity of Demand = [tex]\frac{500/2500}{2/5}[/tex] = [tex]\frac{0.2}{0.4}[/tex] = 0.5

Therefore, the cross-price elasticity of demand between hamburgers and tacos is 0.5.

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If you answer ALL the questions I will give thumbs up!
1. There are 2 bidders with valuations that are independently and uniformly distributed between 0 and 1. In equilibrium, what will Bidder 1 bid in a first-price auction if its valuation is 0.5? Round your answer to two decimal places.
2. There are 9 bidders with valuations that are independently and uniformly distributed between 0 and 1. What will Bidder 1 bid if its valuation is 0.9 in the symmetric equilibrium of a second-price auction? Round your answer to two decimal places.

Answers

In equilibrium, Bidder 1 will bid 0.5/2 = 0.25 in a first-price auction. This is because in a first-price auction, the highest bidder wins the item and pays their own bid.  In a symmetric equilibrium of a second-price auction is of 9 bidders.

1. To avoid this, Bidder 1 will bid lower than its valuation, specifically half of its valuation since there are only two bidders. This ensures that Bidder 1 will win the auction and pay a fair price.  So if Bidder 1 bids its valuation of 0.5, it is very likely that another bidder will also bid higher, and Bidder 1 will end up overpaying.

2. In a symmetric equilibrium of a second-price auction with 9 bidders, Bidder 1 will bid 0.9/10 = 0.09. This is because in a second-price auction, the highest bidder wins the item but pays the second-highest bid. So if Bidder 1 bids its valuation of 0.9, it is very likely that another bidder will also bid higher, and Bidder 1 will end up paying an even higher price than in a first-price auction.

To its valuation, specifically one-tenth of its valuation since there are ten bidders. This ensures that Bidder 1 will win the auction and pay a fair price equal to the second-highest bid.

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The space shuttle Columbia broke up during re-entry on February 1, 2003, over Tyler, TX. All on board were lost. The cause was traced to the shedding of a large piece of foam from the external tank, which struck the leading edge of the wing at launch. Two NASA engineers identified the strike on the launch video, and were concerned enough to request that the shuttle be imaged in orbit by the TRW telescope to assess the damage. Their request was denied by a middle-level manager at NASA for the stated reason that they had made the request "...through the wrong channel." This response to the engineers suggests what kind of culture existed in that part of NASA at that time (according to Westrum's typology of organizational cultures)? Bureaucratic Pathological Generative Analytical

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According to Westrum's typology of organizational cultures, the response to the engineers that their request was denied by a middle-level manager at NASA for the stated reason that they had made the request through the wrong channel suggests a Bureaucratic culture in that part of NASA at that time.

In the Bureaucratic culture, a strict adherence to the rules and procedures is implemented. The focus is on making sure that everyone follows the rules and any violation of these rules is dealt with immediately.

The decision to deny the engineers' request through a bureaucratic channel rather than viewing the potential damage to the space shuttle in a timely manner was more important to the middle-level manager at NASA.

Hence, the decision made by the manager was a reflection of the bureaucratic culture that existed in that part of NASA at that time.

The Bureaucratic culture focuses on ensuring that all procedures and policies are followed strictly, with little or no room for deviation.

This kind of culture is common in organizations such as government agencies, universities, and other large organizations where a lot of bureaucracy is required to manage the large number of employees and tasks.

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P paid their car lease payment for 12 months in the current year totaling $11,400 including 13% HST. O is required to use the car for employment and to pay her own car expenses. She estimates that the car is used 60% for employment purposes. What is the maximum deduction from employment income for tax purposes available to P for the current year?

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The maximum deduction from employment income for tax purposes available to P for the current year is $5,950.80, calculated based on the business use percentage of the car lease payment.

To calculate the maximum deduction from employment income for tax purposes available to P for the current year, we need to determine the portion of the car lease payment that is eligible for deduction based on the percentage of business use.

1. Calculate the HST portion of the car lease payment:

  Car lease payment = $11,400

  HST rate = 13%

  HST amount = Car lease payment * HST rate

              = $11,400 * 0.13

              = $1,482

2. Calculate the portion of the car lease payment that is eligible for deduction:

  Total car lease payment (excluding HST) = Car lease payment - HST amount

                                          = $11,400 - $1,482

                                          = $9,918

  Deductible car lease payment = Total car lease payment * Business use percentage

                              = $9,918 * 0.60

                              = $5,950.80

Therefore, the maximum deduction from employment income for tax purposes available to P for the current year is $5,950.80.

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Pfd Company has debt with a yield to maturity of 7.0%​,
a cost of equity of 13.0%​, and a cost of preferred stock of
9.0%. The market values of its​ debt, preferred​ stock, and equity are $10.0 ​million, $3.0 ​million, and $15.0 million, respectively, and its tax rate is 40%.
What is this​ firm's after-tax​ WACC?
​Note: Assume that the firm will always be able to utilize its full interest tax shield.

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Pfd Company's after-tax WACC is calculated to be 6.07% based on the given information. The after-tax WACC considers the weights and after-tax costs of debt, preferred stock, and equity.

To calculate the after-tax WACC (Weighted Average Cost of Capital) for Pfd Company, we need to consider the weights of each component and their respective after-tax costs.

The after-tax cost of debt can be calculated by multiplying the yield to maturity (7.0%) by (1 - tax rate), resulting in an after-tax cost of debt of 4.2%.

Next, we calculate the weights of each component by dividing their market values by the total market value of the firm:

Debt weight: $10.0 million / ($10.0 million + $3.0 million + $15.0 million) = 0.3333

Preferred stock weight: $3.0 million / ($10.0 million + $3.0 million + $15.0 million) = 0.1000

Equity weight: $15.0 million / ($10.0 million + $3.0 million + $15.0 million) = 0.5000

Finally, we can calculate the after-tax WACC by multiplying each component's weight by its respective after-tax cost and summing them up:

After-tax WACC = (0.3333 * 4.2%) + (0.1000 * 9.0%) + (0.5000 * 13.0%) = 6.07%

Therefore, Pfd Company's after-tax WACC is 6.07%.

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Which of the following would be classified as a noncurrent liability?
Unearned revenue
Mandatory redeemable preference share
The currently maturing portion of long-term debt
Accrued salaries payable to management

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Mandatory redeemable preference share would be classified as a noncurrent liability.

Which of the following would be classified as a noncurrent liability?The different types of noncurrent liabilities are:Lease LiabilityBonds payableDeferred IncomeTax payable to governmental entitiesMortgages payablePensions and other postretirement benefits payablePremium on bonds payableNotes payableLoans payableDeferred income tax liabilitiesWarranties payableEmployee benefits payableMandatory redeemable preference shares are a non-current liability. A mandatory redeemable preference share (MRPS) is a hybrid security that acts like both equity and debt. It is known as a preferred stock since it is classified as a non-current liability on the balance sheet.

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Question 8 Samaher is a salesperson at "Lava" shop for sweets. She was serving a customer, and while she was doing so, she realized that another customer was attempting to serve himself pastries while she should be the one serving him as customers should not be touching food products. She rushed to him and said, (Do not touch the food; wait for your tur). The customer looked at her and said (why are you so aggressive? you could have simply asked me not to touch). Samaher looked at him apologetically and said (sorry, but if an item was touched, I am responsible, and because everything is recorded on cameras, I might risk losing my job if I miss items that customers have touched). in light of Abraham Maslow's hierarchy of needs, explain Samaher's behaviour. Where is she located in the hierarchy, and what are her chances to grow and prosper at her current organization? Elaborate using Maslow's hierarchy of needs in addition to opposing opinions Use the editor to format your answer 2.5 Points

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When a customer attempts to serve himself pastries, it is against the established procedures, as customers are not permitted to touch food products.

A customer service representative or staff member should be the one serving him/her.This statement is true for the following reasons:The customer's health and safety should be a top priority when they come into the business.The business should take responsibility for the goods they sell.

The company should have complete control over the items they sell. If a customer tries to serve themselves, it may lead to accidents, contamination, or other problems. Additionally, the customer service representative should be well-versed in the business's procedures, so they should be able to handle situations like this.

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An equipment costs $40,000 has a life of 4 years and a salvage value of $5,000. The production output of this equipment is 1800 on the first year, 2200 on the second year, 3000 units on the third year, and 4000 units on the fourth year. What is the annual depreciation charge on the fourth year?

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The annual depreciation charge for the fourth year is $8,750.

To calculate the annual depreciation charge in the fourth year, we need to use the straight-line depreciation method. This method evenly spreads the depreciation expense over the useful life of the equipment.
The formula for straight-line depreciation is:
Depreciation Expense = (Cost of Equipment - Salvage Value) / Useful Life
In this case, the cost of the equipment is $40,000, the salvage value is $5,000, and the useful life is 4 years.
So, the annual depreciation charge in the fourth year would be:

Depreciation Expense = ($40,000 - $5,000) / 4
Depreciation Expense = $35,000 / 4
Depreciation Expense = $8,750

Therefore, the annual depreciation charge for the fourth year is $8,750.

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How many machines are required to meet the expected demand if they plan on adopting an expansionist strategy? Show all your work. Give your final answer in a whole number.
How many machines are required to meet the maximum (optimistic) if they plan on adopting an expansionist strategy? Show all your work. Give your final answer in a whole number.
How many machines are required to meet the maximum (optimistic) demand if the manager decides to double lot sizes and they plan on adopting an expansionist strategy? Show all your work. Give your final answer in a whole number.
How many machines are required to meet the maximum (optimistic) demand if the plant can reduce setup time by 20 percent through process improvement initiatives and they plan on adopting an expansionist strategy? Show all your work. Give your final answer in a whole number.
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Adopting an expansionist strategy is crucial for expanding business operations and meeting demands. In this case, we will focus on the production processes of a company. The company has an expected demand of 5000 units and plans to adopt an expansionist strategy. The company needs to determine the number of machines required to meet this demand.

The company's production process specifications are as follows:

Hours per unit: 1.5 minutesAvailable time: 20 hours per dayDemand: 5000 units

To calculate the number of units a machine produces in an hour, we divide 60 by the production time per unit:

Number of units produced in an hour = 60 / 1.5 = 40 units

Machines required to meet the expected demand (assuming no overtime):

The total production time per day is calculated by multiplying the available time by 60 minutes:

Total production time per day = 20 hours x 60 minutes = 1200 minutes

The total units produced per day can be calculated by multiplying the number of machines by the production time per day:

Total units produced per day = 40 machines x 1200 minutes = 48,000 units

The number of machines required can be calculated by dividing the demand by the units produced per day:

Machines required = Demand / Units produced per day

Machines required = 5000 / 48000

Machines required = 0.1041666667 ≈ 1 machine

Therefore, if the company plans on adopting an expansionist strategy, they will need one machine to meet the expected demand.

To meet the maximum (optimistic) demand:

The maximum (optimistic) demand is 7500 units.

Machines required to meet the maximum (optimistic) demand:

Machines required = 7500 / 48000

Machines required = 0.15625 ≈ 2 machines

If the company plans on adopting an expansionist strategy, they will need two machines to meet the maximum (optimistic) demand.

If the manager decides to double lot sizes and adopt an expansionist strategy:

If the lot size is doubled, the number of units per lot is also doubled. The time per lot will be 5000/2 = 2500. The company still operates for 20 hours a day, which is equal to 1200 minutes.

Machines required to meet the expected demand with doubled lot sizes:

Machines required = 5000 / (40 x 2) x 1200 / 2500

Machines required = 0.4166666667 ≈ 1 machine

Therefore, if the manager doubles the lot size, the company will require one machine to meet the expected demand.

To meet the maximum (optimistic) demand with doubled lot sizes:

Machines required to meet the maximum (optimistic) demand with doubled lot sizes = 7500 / (40 x 2) x 1200 / 2500

Machines required = 0.625 ≈ 1 machine

If the manager decides to double the lot size, they will need one machine to meet the maximum (optimistic) demand.

Considering a 20% reduction in setup time through process improvement initiatives:

If the setup time is reduced by 20%, the time per unit will be 1.2 minutes. The total units produced per machine per day remains the same, which is 48,000 units.

Machines required to meet the maximum (optimistic) demand with a 20% reduction in setup time:

Machines required = 7500 / 48000

Machines required = 0.15625 ≈ 2 machines

If the company reduces the setup time by 20%, they will need two machines to meet the maximum (optimistic) demand.

Therefore, adopting an expansionist strategy, doubling lot sizes, and reducing setup time can have implications on the number of machines required to meet the expected and maximum demands.

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[-/1 Points] Show My Work (Optional) ( HARMATHAP12 12.4.019.MI. Master It DETAILS HARMATHAP12 12.4.021. Suppose that the marginal propensity to consume is dC = 0.3-e-2y (in billions of dollars) dy MY NOTES PRACTICE ANOTHER PRACTICE ANOT and that consumption is $5.45 billion when disposable income is $0. Find the national consumption function. C(y) = Matlab to solve: Suppose we would like to numerically approximate the derivative of the function f(x) at x = a. The Taylor series expansion of f at a is given by, f"(E) 2. for some e a, a +h). f(a+h) = f(a) + f'(a)h + 2 Define f(a+h) f(a)() h Dn= h As h approaches zero, Da approximates f'(a). Note that Dh = f'(a) + Ch?. (1) Consider f(x) = sin(x). Compute the values of Dh at a = 0 and a=1, with h = 10-, for i = 1 to 16. = (a) Compute the error in the approximation of the derivative at the above- mentioned values of a as h varied. Show your results in a table, where The first column contains the h-values; The second column contains the error in the approximation of the derivative at a = 0; The third column contains the error in the approximation of the deriva- tive at a = 1. (b) Plot the error in the derivative as a function of h. (2) any error in the numerator of Da is magnified by : so we could assume that the error in the derivative has the form Dr f'(a) = f'(9)h + 2eps.(**) " - 2 h The right-hand side of (**) incorporates the "truncation error". The idea is to choose h so that the error in the differentiation is small. Suppose IF"(x) < M, in the interval of interest. Then we could define the error errD(h) as errD(h) = M2 + 207$ (***). h Show that the above error is minimized when h 2eps h = hope = 20 M eps (3) Compute hope for the problem in part (1). Compute the error in the derivative using the optimum value of h. The question of Numerical Differentiation. Thank you! Type or paste question hereA 110 V d.c. generator supplies a lighting load of forty 100 W bulbs, a heating load of 10 kW and other loads which consume a current of 15 A. Calculate the power output of the generator under these conditions. A gas power plant combusts 600kg of coal every hour in a continuous fluidized bed reactor that is at steady state. The composition of coal fed to the reactor is found to contain 89.20 wt% C, 7.10 wt% H, 2.60 wt% S and the rest moisture. Given that air is fed at 20% excess and that only 90.0% of the carbon undergoes complete combustion, answer the questions that follow. i. 22.74% Bz 77.26% H ii. Calculate the air feed rate [10] Calculate the molar composition of the product stream An air parcel is lifted adiabatically from the surface to 3 km. It begins with a temperature of 12 C and reaches its lifting condensation level, becoming saturated at 500 m. What is its temperature when it reaches 3 km altitude? b. What relationship should characterize the relationship between the price of tater lights and the quantity of tater lights demanded per month? Why (c.g in theory)? Relationship: Reason: c. Suppose that Cape Cod Chip Company reduces the price of their "ketle cooked" potato chips by 50%. Market studies indicate that tater lights compete with premium brand chips like the Cape Cod Co. products. Will this affect the supply of or the demand for the Tater Lights. How would the curve be affected? Supply / Demand (circle one). Direction of adjustment: (1/2) d. Illustrate the situation in (c) in the coordinate axis below. (y) p Relative to the initial equilibrium, ideatify the price and or quantity adjustment. What process causes the adjustment to the new equilibrium? Equilibrium Price Change: Increase/Decrease No Change (Circle One) Equilibrium Quantity Change Increase/Decrease No Change (Circle One) d. (cont.) Adjustment Process (Illustrate in your figure, and explain in a short sentence) 3. Suppose that the free market equilibrium price of bourbon is 55.00a bottle, and that the govemment sets a price floor of $6,00 a bottle on bourbon. The most likely result of this action is that: a. there will now be an excess supply of bourbon b. the market price of bourbon will remain at 55.00 a bottle. c. there will be a large reduction in the quantity of bourbon demanded. d. there will now be an excess demand for bourbon. 4. "The frost in Northern Florida is warming the hearts of Texas Orange growers. Due to the extensive damage to the Florida orange crop, Texas Oranges are commanding their highest prices ever." Which of the following statements best explains the economies of the quotation? a. The supply of flonida oranges has increased as a result of the frost, causing their price to increase and the demand for the substitute Texas oranges to also increase. b. The supply of Florida oranges has decreased as a result of the frost, causing the demand for Texas oranges to increase and their prices to rise. c. The demand for Florida oranges has been reduced by the frost, causing their prices to fall and therefore increasing the supply of the substitute Texas oranges. d. The demand for Florida oranges has been reduced by the frost, causing a greater demand for the Texas oranges and an increase in their price. 5. Suppose that a number of new television series tomanticizing life in the 1940 s stimulates the appeal of cigarette smoking for teenagers. At the same time, suppose that new tobacco sales taxes dramatically raise the costs of bringing cigarettes to market. Using conventional supply and demand analysis, one would expect the combined effect of these changes on the cigarette market to be: a. an increase in equilibrium price, with the change in equilibrium quantity. b. ancertain uncertain. c. an increase in equilibrium quantity, with the change in equilibrium price uncertain- d. a decrease in equilibrium quantity, with the change in equilibrium price uncertain. 6. Suppose that a new, influential research study proves conclusively that cigarette smoking causes cancer in a way that causes people to start to pay more attention to the waming that "cigarctte smoking is injurious to health." At the same time, suppose that new restrictions on the use of fertilizer dramatically raise tobacco production costs. Using conventional supply and demand analysis, one would expect the combined effect of these changes on the cigarette market to be: a. an increase in equilibrium price, with the change in equilibrium quantity uncertain a decrease in equilibrium price, with the change in equilibrium quantity uncertain. c. an increase in equilibrium quantity, with the change in equilibrium price uncertain. a decrease in equilibrium quantity, with the change in equilibrium price uncertain. 7. A shift in the supply curve of bicycles resulting from higher steel prices will tead to a. higher prices b lower prices c. a shift in the demand curve d. larger output Write an embedded C program for the PIC16 to transfer the letter HELP' serially at 9600 baud continuously. Assume XTAL = 10 MHz. Any help is appreciated What is elasticity? Why is it important? One example of elasticity and how that example is important? 1. A student titrates 25.0ml of 0.10M glucaronic acid with a Ka of 1.810^5 with 0.15M sodium hydroxide. What is the pH of the solution after 30.0ml of base has been added? 2. Methanoic acid with a Ka of 6.610^4 and a concentration of 0.25M was titrated with 0.25M sodium hydroxide. What was the pH at the equivalence point? 3. A student in titrates a 10.00 mL sample of acetic acid with 0.123M sodium hydroxide. If it takes an average of 12.54 mL of base to reach the end point, what was the concentration of the acid? 4. What is the pH of a solution of 0.2M of sodium sulfide? Note that Ka2 of hydrosulfuric acid is 1.010^14 Consider the following scenario. You are a solid state device expert working for ACME International Microelectronics Establishment (AIME). A customer approaches you to seek your advice on a low cost circuit that provides for a reasonable' rectification of an AC signal. From your experience, you know that she probably needs a half wave rectifier (low cost) that operates under the following conflicting criteria: (i) a diode with capacitance in a given range, (ii) a low forward resistance to keep power consumption by the diode to a minimum, (i) an output voltage less than the peak input value. (iv) a reverse bias not exceeding the breakdown voltage and (v) an 50 Hz - 60 Hz input frequency. You are expected to investigate a potential diode that meets these requirements. Your task is to explore the optimum characteristics of such a diode Select the correct answer.Shape 1 is a flat top cone. Shape 2 is a 3D hexagon with cylindrical hexagon on its top. Shape 3 is a cone-shaped body with a cylindrical neck. Shape 4 shows a 3D circle with a cylinder on the top. Lower image is shape 3 cut vertically.If the shape in the [diagram] rotates about the dashed line, which solid of revolution will be formed?A vertical section of funnel is represented. A. shape 1 B. shape 2 C. shape 3 D. shape 4 A child is standing on a merry-go-round, 1.4m from the center. The coefficient of static friction between their shoes and the metal surface is u = 0.80. (a) What is the maximum force of static friction between their shoes and the surface? (b) Centrifugal force is mass times centrifugal acceleration. What is the fastest the merry-go-round can spin without the child slipping? Answer in revolutions per minute. Please write about the geographical aspect of Alfred Hitchcock'sVertigo (1958) and the role the geography plays in the story themovie tells. (Should be a few paragraphs)