Consider the problem of a consumer who must choose between two types of goods, good 1 (x₁) and good 2 (x₂) costing respectively p₁ and p₂ per unit. He is endowed with an income m and has a utility function u defined by u(x₁, x₂) = √x₁ + x₂. 1. Show that the consumer's utility function is quasi-concave. 2. Write down the maximization problem of the consumer.

Answers

Answer 1

The consumer aims to choose x₁ and x₂ to maximize utility while staying within the budget constraint.

To show that the consumer's utility function is quasi-concave, we need to demonstrate that the utility function exhibits diminishing marginal rates of substitution (MRS).

Diminishing Marginal Rates of Substitution (MRS):

The MRS measures the rate at which a consumer is willing to substitute one good for another while keeping utility constant. In this case, the MRS is given by the partial derivative of the utility function with respect to good 1 (x₁) divided by the partial derivative with respect to good 2 (x₂):

MRS = (∂u/∂x₁) / (∂u/∂x₂)

Let's calculate the MRS:

∂u/∂x₁ = (1/2) * (x₁)^(-1/2)

∂u/∂x₂ = 1

Now we can find the MRS:

MRS = (∂u/∂x₁) / (∂u/∂x₂) = [(1/2) * (x₁)^(-1/2)] / 1 = (1/2) * (x₁)^(-1/2)

Since the MRS is positive and decreasing in x₁, it shows that the consumer's utility function is quasi-concave.

Maximization Problem:

The consumer's maximization problem is to choose the quantities of goods 1 and 2 that maximize their utility (u) subject to their budget constraint.

The budget constraint is given by:

p₁ * x₁ + p₂ * x₂ = m

The consumer's maximization problem can be written as:

Maximize u(x₁, x₂) = √x₁ + x₂

subject to p₁ * x₁ + p₂ * x₂ = m

The consumer aims to choose x₁ and x₂ to maximize utility while staying within the budget constraint.

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Related Questions

TRUE/FALSE. High performing salespeople tend to be strategic problem solvers
for their customers.

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High performing salespeople tend to be strategic problem solvers for their customers. Therefore, the statement is true.

High-performing salespeople are often strategic problem solvers for their clients because they take the time to comprehend their clients' demands and provide recommendations based on those demands. They have to identify issues or challenges and provide solutions to clients' difficulties.

The ideal salespeople should concentrate on building connections with customers while also creating practical solutions. They should be able to communicate effectively with customers, listen to their needs, and react to any difficulties that arise. These people also exhibit knowledge about the products they are selling, the market, and their target audience.

To conclude, high-performing salespeople tend to be strategic problem solvers for their customers because they take the time to understand their needs, identify problems, and provide practical solutions.

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The X Café serves quick-service meal. Students arrive at the Café line at the rate of 100 per hour. The person taking the order averages 30 seconds per customer, which also includes getting the drink order fulfilled. After the order is placed, students sit at the table and the food is brought out to them.
1. What is the average customer time in the system?
2. What would be the effect on customer time in the system of having a second order taker doing nothing but filling drinks, thereby cutting the average service time to 20 seconds?
3. Would system waiting time be less than you found in ( b) if a second window was opened with each employee doing both (take order + fill drink) tasks?

Answers

The average customer time in the system can be calculated using Little's Law: average customer time = average number of customers in the system / arrival rate.

1. In this case, the arrival rate is 100 customers per hour and the service time is 30 seconds per customer. So, the average customer time in the system would be 0.3 hours or 18 minutes.

2. If a second order taker is added to fill drinks, reducing the average service time to 20 seconds, the overall customer time in the system would decrease. The new average customer time can be calculated using Little's Law again, considering the reduced service time. Assuming the arrival rate remains the same, the average customer time would be 0.2 hours or 12 minutes.

3. Opening a second window where each employee handles both taking orders and filling drinks could potentially reduce the system waiting time further. This approach would allow for parallel processing of tasks, potentially reducing overall service time. However, without specific data on the efficiency of each task, it is difficult to determine the exact impact on waiting time. Conducting a thorough analysis or simulation would be necessary to provide a more accurate assessment.

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The organisers of a college basketball tournament estimate that the demand for tickets by adults is given by QAD = 2,750 – 50P and that the demand for tickets by students is given by Q ES = 7,750 – 200P. The total cost of organising the tournament is given by C = 10 + 0.01Q², with Q being the number of spectators.
a) The directors of the organization of the championship consider that price discrimination can give them a bad image and, therefore, announce a single price for all attendees. Calculate the number of tickets that will allow them to maximise profits and the price of each ticket. Represent graphically.
b) In the face of harsh criticism from student associations, the organisers are considering segmenting the market and setting different prices for adults and students. How many tickets will you sell in this case and at what prices? Represent graphically.
c) What pricing strategy do you think the organisers will ultimately opt for?

Answers

It is important to note that there are ethical concerns associated with price discrimination, particularly if it is based on factors such as race or gender.

a) Directors of the organization of the championship consider that price discrimination can give them a bad image and, therefore, announce a single price for all attendees. Calculate the number of tickets that will allow them to maximize profits and the price of each ticket and represent graphically.

1. To find out the number of tickets that maximizes profits, the first step is to calculate the total revenue function, which is TR = PQ, where P is the price of the ticket and Q is the number of attendees. So, we substitute the demand equations: Q = QAD + QES = (2,750 – 50P) + (7,750 – 200P) = 10,500 – 250P.

Revenue (R) = PQ = P(10,500 – 250P) = 10,500P – 250P².

2. The total cost of organising the tournament is given by C = 10 + 0.01Q², with Q being the number of spectators.

3. The profit equation is: Π = R – C = 10,500P – 250P² – 10 – 0.01Q².

4. The profit is maximized when the derivative of Π with respect to P equals zero: dΠ/dP = 10,500 – 500P = 0 → P = 21.

Therefore, the price per ticket should be $21. To determine the number of tickets that maximize profits, substitute P = 21 in the demand equation for Q, Q = 10,500 – 250P = 4,500 tickets. The profit that the organizers will obtain will be:

Π = 10,500(21) – 250(21)² – 10 – 0.01(4,500)² = $63,330. A graphical representation can be seen below:

b)In the face of harsh criticism from student associations, the organisers are considering segmenting the market and setting different prices for adults and students. The demand equations for adults and students were given as QAD = 2,750 – 50P and QES = 7,750 – 200P, respectively. The total number of tickets sold is equal to QAD + QES.

The price of a student ticket is Ps, and the price of an adult ticket is Pa.

To maximize profits, the following conditions must be met:

Marginal revenue for adults = Marginal cost

Marginal revenue for students = Marginal cost

1. Marginal revenue for adults (MRA) is the derivative of the total revenue function (TR) with respect to QAD.

TR = PaQAD + PsQES

MRA = dTR/dQAD = Pa – 50

2. Marginal revenue for students (MRS) is the derivative of the total revenue function (TR) with respect to QES.

TR = PaQAD + PsQES

MRS = dTR/dQES = Ps – 200

3. The marginal cost (MC) is the derivative of the total cost function (C) with respect to Q.

C = 10 + 0.01Q²

MC = dC/dQ = 0.02Q

4. We also know that the total number of tickets sold, Q, is equal to QAD + QES.

Q = QAD + QES = (2,750 – 50Pa) + (7,750 – 200Ps)

5. Using these equations, we can determine the optimal price and quantity for both student and adult tickets:

MRA = MC

Pa – 50 = 0.02Q

Pa – 50 = 0.02(QAD + QES)

Pa – 50 = 0.02[(2,750 – 50Pa) + (7,750 – 200Ps)]

Pa – 50 = 55 – Pa + 15 – Ps

2Pa + Ps = 120

MRS = MC

Ps – 200 = 0.02Q

Ps – 200 = 0.02(QAD + QES)

Ps – 200 = 0.02[(2,750 – 50Pa) + (7,750 – 200Ps)]

Ps – 200 = 550 – 10Pa – 2Ps

10Pa + 3Ps = 750

Now we have two equations with two unknowns. We can solve for Ps and Pa:

2Pa + Ps = 120

10Pa + 3Ps = 750

Pa = 63

Ps = 54

Therefore, the optimal price for adult tickets is $63, and the optimal price for student tickets is $54. The total number of tickets sold can be found by substituting Pa and Ps into the demand equations for QAD and QES and adding the results:QAD = 2,750 – 50(63) = 550

QES = 7,750 – 200(54) = 1,350

Total tickets sold = 550 + 1,350 = 1,900A graphical representation can be seen below:

c)What pricing strategy do you think the organizers will ultimately opt for?

The organizers may ultimately opt for price discrimination by charging different prices for students and adults. This is because it allows them to increase revenue by charging higher prices to those with a higher willingness to pay (adults) and lower prices to those with a lower willingness to pay (students). However, it is important to note that there are ethical concerns associated with price discrimination, particularly if it is based on factors such as race or gender.

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Create a total rewards plan for Rearden Steel. • Must begin with literature review and at a minimum have the (a) Compensation, (b) Benefits, and (c) Conclusion as headings.

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The total rewards plan is created to align the goals and objectives of an organization with the employees' goals and objectives, leading to the employees' retention in the organization. A total rewards package can include both monetary and non-monetary compensation.

Monetary compensation is cash compensation, such as salary and bonuses, while non-monetary compensation can include benefits and work-life balance incentives. Rearden Steel can have the following total rewards plan: Compensation To create an effective total rewards plan, Rearden Steel can use the following methods of compensation: Base Pay: The base salary will include a salary that is above the market average. This salary will enable the company to attract and retain the best talent.

Variable Pay: Rearden Steel will offer variable pay to employees in the form of bonuses. The bonus will be based on individual or team performance. To attract and retain the best talent, Rearden Steel will offer the following benefits: Health Insurance: Rearden Steel will provide employees with comprehensive health insurance. The health insurance will include medical, dental, and vision insurance. Retirement Plans: Rearden Steel will offer a 401(k) plan to employees. The plan will include a company match of 5% and an additional 1% contribution from the company. Paid Time Off: Rearden Steel will offer employees paid time off, including vacation, personal days, and sick days. Employees will accrue additional vacation days based on years of service.
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One can hold a credit card issued by a stock brokerage firm
T/F

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The statement "One can hold a credit card issued by a stock brokerage firm" is true.

Many stock brokerage firms offer a range of financial products and services to their clients, including credit cards. While their primary focus may be on providing investment services such as buying and selling stocks, bonds, and other securities, some brokerage firms also provide credit card offerings to their customers.

These credit cards issued by stock brokerage firms often come with specific features and benefits tailored to investors. They may offer rewards or cashback programs that are geared towards investment-related spending, such as earning points or discounts on brokerage fees or investment products. Additionally, some brokerage credit cards may offer perks or benefits that cater to frequent travelers or individuals interested in specific investment categories.

Having a credit card issued by a stock brokerage firm can provide convenience and integration for investors who prefer to manage their investments and credit needs within a single platform. It can also offer the opportunity to streamline financial activities and potentially earn rewards or benefits related to investment-related expenses.

However, it is important to note that credit cards issued by brokerage firms may have certain eligibility requirements, fees, and terms and conditions associated with them. It is advisable to carefully review and compare the features, fees, and benefits of any credit card before applying for one, including those issued by stock brokerage firms, to ensure it aligns with your financial goals and preferences.

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(a) Explain the factors that can influence the pricing strategy adopted by a product/service brand of your choice. (b) Evaluate the importance of 'price' being consistent and integrating with other elements of the marketing mix. Give examples to help explain your answer.

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(a) Factors that can influence the pricing strategy adopted by a product/service brand:The pricing strategy of a product or service is influenced by several factors which are given below:1. Marketing Objectives: The objective of the marketing strategies adopted by the company has a considerable impact on the pricing strategy.

A company that is looking to penetrate a new market will have a different pricing strategy than a company that is aiming to maintain its market share.2. The nature of the product or service: The type of product or service being offered plays a significant role in determining the pricing strategy. For example, a luxury brand will have a different pricing strategy than a budget brand.

Market Conditions: The price of a product or service can be affected by the supply and demand of the market. If the demand for a product is high and the supply is low, the price of the product will go up.4. Competitor's pricing strategy: Competitors' pricing strategy can significantly affect the pricing strategy of a company. If a company's pricing strategy is significantly higher than its competitors, it may result in a loss of market share.(b) The importance of 'price' being consistent and integrating with other elements of the marketing mix:Price is an essential element of the marketing mix, and it must be consistent with other elements of the marketing mix to create a cohesive message for the consumer. The following points describe the importance of price being consistent and integrating with other elements of the marketing mix:1. Competitive Advantage: A consistent pricing strategy that integrates with other elements of the marketing mix can give a company a competitive advantage.2. Brand Image: A consistent pricing strategy can help a company to establish a brand image.3. Customer Perception: The price of a product or service can significantly affect the customer's perception of the product.4. Market Share: A consistent pricing strategy that integrates with other elements of the marketing mix can help a company maintain or increase its market share.5. Customer Loyalty: A consistent pricing strategy that integrates with other elements of the marketing mix can help a company build customer loyalty.Example: Apple's pricing strategy has always been consistent with other elements of its marketing mix. Apple's marketing mix includes the following elements: Product, Price, Place, and Promotion. Apple's pricing strategy is consistent with the brand image and the quality of its products. Apple's premium pricing strategy has helped the company to establish a brand image of luxury and high-quality products.

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Assume that you got an opportunity to complete your master degree in London. After reaching London, being the new resident of that country, how will you feel the cultural shock? What practices will you follow to come out from the cultural shock?

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Studying abroad provides individuals with a great opportunity to explore and experience new cultures and traditions. It is possible for an individual who has moved to a new country to experience cultural shock.

Here is how to overcome cultural shock in a new country:

Identify and acknowledge differences: Try to learn about the new culture, customs, traditions, and way of living. This would help you become more aware of what to expect from your host country.

Learn the Language: Communicating with others in the host country is critical. By learning the language, individuals can learn more about the country's culture and connect with its citizens

.Make new friends: Try to make new friends by joining different clubs or groups. By doing this, you can share experiences and learn more about the host country's culture and customs. This will help to lessen the effects of the cultural shock.

Maintain your old habits: It is important to continue doing things that bring you comfort and keep you connected to your home country.

Staying connected with your old habits and traditions would help you feel more comfortable in your host country and reduce your culture shock.

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Draw a flow chart for the process to obtain a finance ( Restaurant
business)
- help please

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The flowchart outlines the process of obtaining finance for a restaurant business. It starts with identifying funding needs, researching options, and submitting a loan application. Once approved, the funds are secured, used for the business, and repaid while monitoring financial performance.

Here's a flowchart for the process of obtaining finance for a restaurant business

[Start] --> [Identify Funding Needs] --> [Determine Loan Amount] --> [Research Financing Options] --> [Evaluate Loan Terms] --> [Choose Financing Source] --> [Prepare Loan Application] --> [Gather Required Documents] --> [Submit Loan Application] --> [Wait for Approval] --> [Receive Loan Offer] --> [Review Loan Terms] --> [Accept/Reject Loan Offer] --> [Secure Financing] --> [Use Funds for Business] --> [Repay Loan] --> [Monitor Financial Performance] --> [End]

This flowchart outlines the step-by-step process for obtaining finance for a restaurant business. It begins with identifying the funding needs and determining the required loan amount. Then, it moves on to researching and evaluating financing options, selecting a financing source, and preparing the loan application.

The process continues with gathering required documents, submitting the application, and waiting for approval. Once approved, the entrepreneur receives a loan offer, reviews the terms, and decides whether to accept or reject it.

If accepted, the financing is secured, and the funds are used for the business. The final steps involve repaying the loan and monitoring the restaurant's financial performance.

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Retake question Samuel just purchased one IBM stock share for 8 dollars. IBM stock price has a 20% chance to be 4, a 30% chance to be 15, and a 50% chance to be 12 next year. What is Samuel's expected return (report the return as a decimal number with four decimal places such as 0.0665) from holding the IBM share for one year?

Answers

The expected return of Samuel from holding the IBM share for one year is $11.30.

The cost price of one IBM stock share = $8

The probability of the IBM stock price being $4 = 20% or 0.20

The probability of the IBM stock price being $15 = 30% or 0.30.

The probability of the IBM stock price being $12 = 50% or 0.50

Formula:

Expected return = (Probability of occurrence 1 × Return 1) + (Probability of occurrence 2 × Return 2) + (Probability of occurrence 3 × Return 3) + ... + (Probability of occurrence n × Return n)

As we have the information about the cost price of the IBM share and its probability of price change, we can easily calculate the expected return of the share for the next year. The probability and the corresponding return are given below:

Probability of the IBM share price Expected IBM share price 0.20 $40.30 $150.50 $12

Let's calculate the expected return now.  

Expected return = (Probability of occurrence 1 × Return 1) + (Probability of occurrence 2 × Return 2) + (Probability of occurrence 3 × Return 3) + ... + (Probability of occurrence n × Return n)

Expected return = (0.20 × 4) + (0.30 × 15) + (0.50 × 12)

Expected return = 0.80 + 4.50 + 6.00

Expected return = 11.30.

Therefore, the expected return of Samuel from holding the IBM share for one year is $11.30.

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A prospector strategy works well in an environment where there is little change or uncertainty.

a. true
b. false

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True, A prospector strategy works well in an environment where there is little change or uncertainty. This is known as an emergent strategy, which is more beneficial in an unpredictable market environment.

A prospector strategy is used by a company that seeks to discover and seize new opportunities in emerging and changing markets. Such a strategy is preferred in a market environment where there is little change or uncertainty. A prospector strategy entails a high degree of flexibility and adaptability, and it is most effective in environments where there is a high level of uncertainty or ambiguity regarding the future. The Emergent strategy is one of the two types of strategies.

An emergent strategy is a process in which an organization reacts to and learns from experience. A plan, or series of plans, emerges as a result of this process. This strategy is more suited to an unpredictable market environment, such as a start-up company with limited resources that must adapt and evolve quickly.A Prospector strategy is used in a stable market environment to gain a competitive advantage. It is most effective when a firm focuses on market niche and strives to deliver unique products and services to meet customer needs. This approach necessitates constant innovation and proactive strategy, which leads to a higher chance of gaining a competitive edge over other companies.

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Intro You bought a share of stock for $100. It is now worth $107 and has just paid an annual dividend of $5 per share. Part 1 Attempt 4/10 for 1 pts. What was the dividend yield? 3+ decimals Submit At

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The dividend yield is a percentage that represents the amount of dividends a company pays in relation to its stock price. It is used to measure a company's dividend payout to its shareholders relative to its share price.

To calculate the dividend yield, you divide the annual dividend per share by the stock price per share and multiply by 100.For this case, the annual dividend paid is $5 per share. The share price of the stock is $107. Therefore, the dividend yield would be calculated as: Dividend Yield = (Annual dividend / Share price) × 100= ($5 / $107) × 100= 0.0467 × 100= 4.67%

The dividend yield is used to determine the annual return on a company's stock and is calculated by dividing the annual dividend per share by the stock price per share and multiplying by 100. It is an important metric for investors as it provides a measure of a company's ability to pay dividends and its overall profitability.A dividend yield of 4.67% means that the company is paying an annual dividend of $4.67 for every $100 invested in the stock. A higher dividend yield is generally better as it indicates that the company is paying a higher percentage of its earnings to its shareholders. A lower dividend yield may indicate that the company is retaining more of its earnings to reinvest in the business.Dividend yield is just one of the factors that investors consider when evaluating a company's stock. Other factors, such as the company's earnings growth, financial health, and market trends, should also be taken into account when making investment decisions.

The dividend yield of the stock is 4.67%. This means that for every $100 invested in the stock, the company is paying an annual dividend of $4.67. While dividend yield is an important metric, investors should also consider other factors when evaluating a company's stock and making investment decisions.

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The swit company is planning to finance an expansion. The principal executives of the company agree that an industrial company such as theirs should finance growth by issuing common stock rather than by taking on additional debt. Because they believe that the current price of swift's common stock does not reflect its true worth, however, they have decided to sell convertible bonds. Each convertible bond has a face value equal to $1.000 and can be converted into 25 sha of common stock what would be the minimum price of the stock that would make it cial for bondholders to convert their bonds? Ignore the effects of taxes or other costs

Answers

The minimum price of the stock that would make it beneficial for bondholders to convert their convertible bond ignoring the effects of taxes or other costs is $40 per share.

According to the question, each convertible bond has a face value equal to $1,000 and can be converted into 25 shares of common stock. The convertible bond is issued to raise money for the expansion of the company. The principal executives of the company agree that an industrial company should finance growth by issuing common stock rather than taking on additional debt.

So, if the stock price is greater than or equal to the conversion price, then bondholders will convert their bonds into common shares. Otherwise, bondholders will keep their bonds.

Here, conversion price is $1,000 / 25 shares = $40 per share

So, the minimum price of stock that would make it attractive for bondholders to convert their bonds is $40 per share.

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Finding the WACC. Jamieson Clothing Company has 5.1 million ordinary shares outstanding: 290 000, 5.2% preference shares outstanding; and 125 000 5.7% half-yearly bonds outstanding, par value $1000 each. The ordinary shares currently sell for $72 and have a beta of 1.13; the preference shares sell for $103; and the bonds have 20 years to maturity and sell for 103% of par, and the yield to maturity of the bonds is 5.46%. The market risk premium is 6.8%; government bonds are yielding 4.3%; and Jamieson Clothing's tax rate is 30%. The book value of one preference share is $100. a. What is the firm's market-value capital structure? b. If Jamieson Clothing is evaluating a new investment project that has the same risk as the firm's typical project, what rate should the firm use to discount the project's cash flows under a classical tax system?

Answers

To find the weighted average cost of capital (WACC) for Jamieson Clothing Company, we need to determine the market-value capital structure and the appropriate discount rate for evaluating new investment projects.

a) To calculate the firm's market-value capital structure, we multiply the number of shares and bonds outstanding by their respective market prices. For the ordinary shares, the market value is calculated by multiplying the number of shares outstanding by the share price. For the preference shares and bonds, the market value is equal to the number of shares or bonds outstanding multiplied by their respective prices.

b) To determine the discount rate for evaluating new investment projects, we use the WACC, which is the weighted average of the cost of equity, cost of preference shares, and cost of debt. The WACC formula is: WACC = (E/V) * Re + (P/V) * Rp + (D/V) * Rd * (1 - tax rate), where E, P, and D represent the market values of equity, preference shares, and debt, respectively, and V is the total market value of the firm. Re, Rp, and Rd are the respective required rates of return for equity, preference shares, and debt. The tax rate is also considered to calculate the after-tax cost of debt.

By plugging in the relevant values into the formula, including the cost of equity, cost of preference shares, and cost of debt, the WACC can be calculated. The WACC represents the appropriate discount rate to evaluate new investment projects with the same risk level as the firm's typical projects.

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Bond DEF has a maturity of three years, with annual coupons of R200, a face value of R1000, and annual YTM of 10%. Calculate the approximate duration of the bond.
1. 6 years
2. 2.1 years
3. 3 years
4.24 years
5. 2.58 years

Answers

The approximate duration of the bond DEF is option 5) 2.58 years.

Approximate Duration of a bond is the average time taken by all the bond's cash flows to be received. It measures the sensitivity of bond prices to changes in interest rates. The formula for the approximate duration of a bond is; {tex}Duration= (\frac{CF_{1}}{1+r})t_{1} + (\frac{CF_{2}}{1+r})t_{2}+ ... + (\frac{CF_{n}}{1+r})t_{n} {/tex}

where CF is cash flow, t is time, and r is yield to maturity. CF, t, and r should have the same time interval. We can now use the above formula to calculate the duration of the bond.

Duration= $\frac{CF(1-t_{1})}{(1+r)^{2}}$ + $\frac{CF(1-t_{2})}{(1+r)^{3}}$ + $\frac{CF(1-t_{3})}{(1+r)^{4}}$+ $\frac{CF(1+face value-t_{n})}{(1+r)^{n+1}}$

Given that;

CF = R200, t = 1, r = 0.10 and n = 3

The bond has an annual coupon of R200, with a face value of R1000 and YTM of 10%. The bond's cash flows are;

Cash Flow ($CF$)

Time ($t$)R20011R20022R20033R12003

The duration of the bond can be computed as follows;

Duration = $\frac{200(1-1)}{(1+0.10)^{2}}$ + $\frac{200(1-2)}{(1+0.10)^{3}}$ + $\frac{200(1-3)+1000}{(1+0.10)^{4}}$$\therefore Duration = 2.58$

Therefore, the approximate duration of the bond DEF is 2.58 years.

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The balance sheet for Apple Banana Corp. is shown below in market value terms.
Market Value Balance Sheet
Cash 600,000 Equity 5,600,000
Fixed assets 5,000,000
Total 5,600,000 Total 5,600,000
There are 300,000 shares of stock outstanding. The company has declared a dividend of 1 baht per share. The stock goes ex-dividend tomorrow. What is the ex-dividend price? (Do not round intermediate calculations and round your answer to two decimal places, e.g., 32.16)

Answers

The ex-dividend price for Apple Banana Corp. is $18.67. This is calculated by subtracting the total dividend amount from the equity value and dividing it by the number of shares outstanding.

To calculate the ex-dividend price, we need to subtract the total dividend amount from the equity value and then divide it by the number of shares outstanding. The total dividend amount is calculated by multiplying the dividend per share by the number of shares outstanding.

Given that the dividend per share is 1 baht and the number of shares outstanding is 300,000, the total dividend amount is 1 * 300,000 = 300,000 baht.

Subtracting the total dividend amount from the equity value, we have 5,600,000 - 300,000 = 5,300,000 baht.

To find the ex-dividend price, we divide the adjusted equity value by the number of shares outstanding:

Ex-Dividend Price = Adjusted Equity Value / Number of Shares Outstanding

Ex-Dividend Price = 5,300,000 / 300,000

Ex-Dividend Price = 17.67

Rounding the ex-dividend price to two decimal places, the answer is $18.67.

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Marwa & Co. purchased a parcel of land six years ago for $629513. At that time, the firm invested $257058 in grading the site so that it would be usatis Since the fim w ready to the site itself at that time, it decided to lease the land for $53,500 a year. The company is now considering building a warehouse on the site as the mental is expng The cuent value of the land is $883996. What value should be included in the initial cost of the warehouse project for the use of this land?

Answers

The value that should be included in the initial cost of the warehouse project for the use of this land is $1,046,231.

Given information:Purchased a parcel of land six years ago for $629513Invested $257058 in grading the siteLease the land for $53,500 a year.The current value of land is $883996.Calculation:Annual rent paid by Marwa & Co. = $53,500Total rent paid by Marwa & Co.

In 6 years = 6 x 53,500 = $321,000The amount paid to grade the land = $257,058Therefore, total amount paid for the land = 629,513 + 257,058 + 321,000 = $1,207,571The current value of the land is $883,996So, the land cost that will be included in the initial cost of the warehouse project for the use of this land would be: $1,207,571 – $883,996 = $323,575Thus.

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What is the relation between production functions and cost
functions? Be sure to include in your discussion the effect of
competitive conditions in input factor markets

Answers

Production function refers to a relationship between the input and output of a business, whereas cost function refers to a relationship between the cost of a business and the level of output.

The relationship between these two functions is that they both represent the production process of a business and the relationship between the input and output of that business. It is often used in microeconomic analysis to understand the cost and output behavior of a firm. The production function and cost function of a company are interdependent. The production function enables a company to determine its optimal output for a given input of factors of production, while the cost function enables a company to determine the cost of production for a given level of output. As a result, a company's production function can be used to calculate its cost function, and vice versa. A firm's cost function is an integral part of its overall production function.

As a result, a firm's cost function will be determined by the competitive conditions that exist in the input factor markets. In a competitive input factor market, the price of an input will be equal to its marginal cost, which is the additional cost of producing one more unit of that input. This means that a firm will be able to purchase inputs at the market price and will not be able to affect the price of inputs. However, if the input factor market is not competitive, the price of an input will not be equal to its marginal cost, and the firm will be able to affect the price of inputs by increasing its demand for them. In conclusion, the relationship between production functions and cost functions is that they both represent the production process of a business and the relationship between the input and output of that business. Competitive conditions in input factor markets have a significant effect on a firm's cost function, which is an integral part of its overall production function.

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the store manager uses hose with water to clean the deli area at the end of the day this an example of which type of water use is it agriculture

Answers

No, using a hose with water to clean the deli area at the end of the day is not an example of agricultural water use.

It is an example of commercial or industrial water use, specifically for cleaning and maintenance purposes in a retail setting. Agricultural water use typically refers to the use of water for irrigation and other agricultural activities such as crop production and livestock farming.

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The................... model of leadership is based on the premise that effective leaders possess personal qualities or skills that set them apart from ineffective leaders. A) Tsk-oriented B) Contingency C) Trait D) Transformational

Answers

The Trait model of leadership is based on the premise that effective leaders possess personal qualities or skills that set them apart from ineffective leaders. Therefore, option C) is correct.

This model emphasizes that certain inherent traits or characteristics are inherent in successful leaders and contribute to their effectiveness in leading others.

According to the Trait model, leaders possess specific traits such as intelligence, self-confidence, determination, integrity, and sociability, among others. These traits are believed to be stable and enduring, and individuals who possess them are more likely to excel in leadership roles.

However, it is important to note that the Trait model has its limitations. While certain traits may be associated with effective leadership, the model does not take into account situational factors or the importance of specific skills and behaviors in different contexts.

In conclusion, the Trait model of leadership highlights the belief that certain inherent personal qualities or traits differentiate effective leaders from ineffective ones. While traits play a role in leadership, it is crucial to recognize the influence of situational factors, skills, and behaviors in determining leadership effectiveness.

Leadership is a complex process that goes beyond individual traits, and understanding the interaction between traits, behaviors, and context is vital for comprehensive leadership development and effectiveness. Therefore, option C) is correct.

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For a health-care client, you are designing & developing a platform that caters to comprehensive medical care where patient data will be hosted on client's cloud service provider. The platform allows patients to avail health services from doctors associated with one or more of registered hospitals, including online diagnostic services and home-delivery of medicines.

Which PIl collected by the platform is likely to be optional for providing medical services?

Answers

For a health-care client, the platform allows patients to avail health services from doctors associated with one or more of registered hospitals, including online diagnostic services and home-delivery of medicines.

The PIl (Personally Identifiable Information) collected by the platform that is likely to be optional for providing medical services is sensitive patient information. Below is a comprehensive answer on the PIl collected by the platform that is likely to be optional for providing medical services: Personally Identifiable Information (PII) is defined as the data that can be used to identify a particular person, including their name, social security number, date of birth, address, and phone number.

Sensitive patient information, such as medical history and condition, should be safeguarded due to privacy concerns. Medical data privacy regulations, such as HIPAA in the United States, must be strictly adhered to.PII is critical to patient care, as it enables health-care professionals to deliver care that is tailored to each individual patient's specific needs. Patients who do not want to share their sensitive information can elect to withhold it. Patients should be aware of the risks and benefits of sharing their sensitive information, as well as the ways in which their information will be used and protected.

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Today, Dexter is investing $24,000 at 5.5 percent, compounded annually, for 6 years. How much additional income could he earn if he had invested this amount at 6.5 percent, compounded annually (note need to compute both)? A) $1,515.04 B) $1,927.19 C) $2,007,49 D) $2,515.04 E) $2.927.19 1320 6 6.5

Answers

To calculate the additional income Dexter could earn by investing $24,000 at different interest rates, we can use the formula for compound interest.

To calculate the additional income, we subtract the initial investment from the final amount Additional Income = Final amount - Initial investment

Additional Income = $34,044.26 - $32,355.29

Additional Income ≈ $1,688.97 Therefore, Dexter could earn approximately $1,688.97 in additional income if he had invested $24,000 at a 6.5% interest rate instead of 5.5%.

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product repositioning idea (product description, existing segmentation, proposed repositioned segmentation)
Select an existing product or class of products;
Describe the company’s current target market (including market size, competitors and characteristics) for that product and the demographic, psychographic and/ or behavioral segmentation of that target market;
Describe the product usage and attributes that are currently outlined and the appeal(s) that are employed to position the product in the consumer’s mind;
Without fundamentally changing the product, propose a new different use and target market or a new, untapped target market (including market size, competitors and characteristics) for the same product;
Describe the demographic, psychographic and/or behavioral segmentation of the new target market;
Describe the product attributes that will be outlined and the appeal(s) that will be employed to reposition the product in the consumer’s mind.

Answers

Product repositioning is the process of changing a product's market perception by improving its value proposition, brand image, and market position. It involves changing the way consumers view a product or service by altering the marketing mix, including its packaging, messaging, and distribution.

The product that is being repositioned is a reusable water bottle. Currently, the product is positioned as a simple and inexpensive way to stay hydrated. It is marketed to a broad audience of active individuals who lead healthy lifestyles. However, the proposed repositioning strategy will involve targeting a more specific market segment.The new target market will be environmentally conscious millennials who prioritize sustainability and eco-friendliness. This segment of consumers is highly concerned about the environmental impact of single-use plastics and seeks sustainable alternatives to disposable products. To appeal to this audience, the product will be repositioned as an eco-friendly alternative to disposable water bottles.The product attributes that will be highlighted include its durability, functionality, and sustainability. The appeal will be to reduce the environmental impact of single-use plastics by using a reusable water bottle. The packaging will be redesigned to communicate the product's sustainability features, including the use of recycled materials and the product's recyclability.In conclusion, product repositioning is an important strategy to improve a product's market position and appeal to new target markets. The proposed repositioning strategy for the reusable water bottle involves targeting environmentally conscious millennials by highlighting the product's sustainability and eco-friendliness. This will be communicated through the product attributes, packaging, and messaging to appeal to this audience and position the product as an eco-friendly alternative to disposable water bottles.

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lucky kayak portable fish depth finder water handheld fish finder sonar castable kayak boat fishfinder transducer fishing lcd display ffc1108

Answers

The Lucky Kayak Portable Fish Depth Finder Water Handheld Fish Finder Sonar Castable Kayak Boat Fishfinder Transducer Fishing LCD Display FFC1108 is a great tool for anglers looking to enhance their fishing experience.

Lucky Kayak Portable Fish Depth Finder Water Handheld Fish Finder Sonar Castable Kayak Boat Fishfinder Transducer Fishing LCD Display FFC1108 is a product that helps anglers determine the depth of the water and detect fish in it. This device is useful for kayak and boat fishing.

The device comes with a transducer that can be used to detect fish in the water and a LCD display that shows the results. It is portable and easy to use. The device is also castable, which means that it can be thrown into the water from a distance to detect fish. It is a useful tool for anglers who are looking to improve their fishing experience and increase their chances of catching fish.

In conclusion, the Lucky Kayak Portable Fish Depth Finder Water Handheld Fish Finder Sonar Castable Kayak Boat Fishfinder Transducer Fishing LCD Display FFC1108 is a great tool for anglers looking to enhance their fishing experience.

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Which of the following statements about Web site conversion statistics is FALSE?

a. Web site visitors can be classed as either new or returning.

b. Visitors who begin a purchase on most Web sites must complete it.

c. The conversion rate is the number of people who take action divided by the number of visitors.

d. Analyzing exit rates can tell you why visitors left your Web site.

Answers

The following statement about Web site conversion statistics is FALSE: Visitors who begin a purchase on most Web sites must complete it. correct answer is b.

What is web site conversion? Web site conversion is the procedure of transforming a visitor to a website to a paying customer. The percentage of visitors who finish a desired task is measured using conversion rates. It could be buying a product, submitting a form, or filling out a survey. A website's ability to meet its goals and objectives is measured using conversion statistics. It shows how well a website is doing in terms of generating leads, making sales, and increasing income. Which of the following statements about Web site conversion statistics is FALSE? Visitors who begin a purchase on most Web sites must complete it is a FALSE statement about Web site conversion statistics. Conversion Rate: Conversion Rate is the rate at which visitors to a website complete a particular objective, such as making a purchase, completing a form, or subscribing to a newsletter. Conversion rates are used to determine the effectiveness of a website and its user interface. ANALYZING EXIT RATES: Analyzing exit rates allows you to figure out why visitors left your website. This data is available in your analytics account, and it provides you with information on the pages that people are leaving from and why they are doing so. WEB SITE VISITORS: Web site visitors can be classed as either new or returning. If a user visits your website for the first time, they are classified as a new user. Returning users have previously visited the website and are likely to return. It's important to note that each user's session is different, so a user who leaves your website and returns later will be counted as a new user. The conversion rate is the number of people who take action divided by the number of visitors: Conversion rate is the proportion of website visitors who complete a particular objective, such as making a purchase, completing a form, or subscribing to a newsletter. The conversion rate is the percentage of website visitors who complete the desired action.

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On October 1, 2020, Eastern Timber Inc. has available for issue $870,000 bonds due in four years. Interest at the rate of 7.00% is to be paid quarterly. Calculate the issue price if the market interest rate is: (Do not round intermediate calculations. Round the final answers to the nearest whole dollar.)
a. 8% Issue Price?
b. 7% Issue Price?
c. 6% Issue Price?

Answers

The issue prices are as follows:

a) 8% Issue Price: $5,673

b) 7% Issue Price: $6,021

c) 6% Issue Price: $6,312

To calculate the issue price of the bonds at different market interest rates, we can use the present value of the bond's future cash flows. The formula for present value is:

PV = C * [1 - (1 + r)^(-n)] / r

Where:

PV = Present value

C = Cash flow (interest payment)

r = Market interest rate

n = Number of periods

In this case, the cash flow is the quarterly interest payment, and the number of periods is the number of quarters in four years, which is 16.

a) 8% Issue Price:

Quarterly interest rate = 8% / 4 = 2%

PV = C * [1 - (1 + r)^(-n)] / r

PV = C * [1 - (1 + 0.02)^(-16)] / 0.02

PV = C * (1 - 0.627496) / 0.02

PV = C * 0.372504

C = $870,000 * 7.00% / 4 = $15,225

PV = $15,225 * 0.372504 = $5,672.99 (approximately)

b) 7% Issue Price:

Quarterly interest rate = 7% / 4 = 1.75%

C = $870,000 * 7.00% / 4 = $15,225

PV = C * [1 - (1 + 0.0175)^(-16)] / 0.0175

PV = $15,225 * 0.395684 = $6,020.52 (approximately)

c) 6% Issue Price:

Quarterly interest rate = 6% / 4 = 1.5%

C = $870,000 * 7.00% / 4 = $15,225

PV = C * [1 - (1 + 0.015)^(-16)] / 0.015

PV = $15,225 * 0.413293 = $6,312.29 (approximately)

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share your views on the dual employment article from a ethics
point of view

Answers

Dual employment is the type of employment situation where the employee works two or more jobs at the same time. The employees who are working for two or more different companies can create a conflict of interest between their employers, and it can affect the employee's work performance.

In general, it is considered unethical for employees to work simultaneously for two or more employers. The primary reason for this is that dual employment can create conflicts of interest, making it difficult for an employee to serve the best interests of both companies. When an employee is working two jobs, he or she is dividing their time and attention between both jobs, and it can affect their quality of work. Moreover, the employee may not be able to fulfill their responsibilities in any of the jobs completely. It also raises questions about loyalty to both employers.When it comes to ethical principles, employees must be honest, trustworthy, and reliable in fulfilling their obligations to their employers. Employers trust their employees to work towards their company's best interest. They also expect the employees to protect the confidential and sensitive information of the company. However, dual employment can compromise the trust between the employee and employer. It can raise the concern of the company and affect the company's reputation.

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The shutdown of semiconductor plants due to COVID created shortages of chips needed in new car production which led to shortages of new cars. This is an example of a
a. Strategic supply chain disruption
b. Operational supply chain disruption
c. Pricing problem
d. Planning supply chain disruption

Answers

The scenario described, where the shutdown of semiconductor plants due to COVID resulted in shortages of chips and subsequently new cars, is an example of (a) strategic supply chain disruption.

Strategic supply chain disruption refers to disruptions caused by external factors or events that affect the overall supply chain strategy of an organization. In this case, the shutdown of semiconductor plants due to the COVID pandemic created a significant disruption in the supply chain of the automotive industry.

Semiconductors, or chips, are essential components used in various electronic devices, including cars. When the semiconductor plants shut down, there was a shortage of chips available for new car production. As a result, car manufacturers faced difficulties in acquiring an adequate supply of chips, which led to delays and reduced production of new cars.

This disruption had strategic implications as it affected the overall supply chain strategy of the automotive industry. Companies had to reassess their production plans, adjust their inventory management strategies, and potentially seek alternative chip suppliers to mitigate the impact of the shortage.

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1. What are the methods of Generating ideas?
2. Get the illustration of Problem solving analysis and discuss
it.

Answers

There are various best methods of Generating Ideas are Brainstorming, Mind Mapping, SWOT Analysis, Journaling, Reverse Brainstorming,

1. Brainstorming: This is the most popular method used to generate ideas. Brainstorming is a technique that involves a group of people who generate as many ideas as possible.

2. Mind Mapping: A mind map is a visual representation of ideas, words, and concepts. It is an excellent tool for generating and organizing ideas.

3. SWOT Analysis: SWOT stands for Strengths, Weaknesses, Opportunities, and Threats. It is a technique used to analyze a business or project.

4. Journaling: Writing your ideas in a journal is an excellent way to generate ideas. It helps you to keep track of your ideas, and you can always go back and review them later.

5. Reverse Brainstorming: This is a method of brainstorming that involves thinking of the opposite of what you want to achieve and then coming up with ideas on how to avoid it.

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(Related to Checkpoint 9.3) (Bond valuation) Pybus, Inc. is considering issuing bonds that will mature in 23 years with an annual coupon rate of 8%. Their par value will be $1000, and the interest will be paid semi annually. Pybus is hoping to get a AA rating on its bonds and, if it does, the yield to maturity on similar AA bonds is 10%. however, Pybus is not sure whether the new bonds will receive a AA rating. If they receive an A rating, the yield to maturity on similar A bonds is 11%. What will be the price of these bonds if they receive either an A or a AA rating?
a. The price of the Pybus bonds if they receive a AA rating will be $__ (Round to the nearest cent.)
b. The price of the Pybus bonds if they receive an A rating will be $__ (Round to the nearest cent.)

Answers

To calculate the price of the Pybus bonds based on different ratings, we can use the bond pricing formula, which considers the coupon payments, yield to maturity (YTM), and time to maturity.

a. Price of the Pybus bonds with a AA rating:

Coupon rate: 8% (semiannual)

Par value: $1,000

YTM for AA-rated bonds: 10% (annual, semiannual payments)

Time to maturity: 23 years (semiannual payments)

Using the bond pricing formula, the price of the Pybus bonds with a AA rating can be calculated as follows:

Price = (Coupon Payment / YTM) * (1 - (1 / (1 + YTM)^n)) + (Par Value / (1 + YTM)^n)

Where:

Coupon Payment = (Coupon Rate * Par Value) / 2

YTM = Annual Yield to Maturity / 2

n = Number of Periods to Maturity

Substituting the values into the formula:

Coupon Payment = (0.08 * $1,000) / 2 = $40

YTM = 0.10 / 2 = 0.05

n = 23 * 2 = 46

Price = ($40 / 0.05) * (1 - (1 / (1 + 0.05)^46)) + ($1,000 / (1 + 0.05)^46) ≈ $847.24

Therefore, the price of the Pybus bonds with a AA rating would be approximately $847.24.

b. Price of the Pybus bonds with an A rating:

Coupon rate: 8% (semiannual)

Par value: $1,000

YTM for A-rated bonds: 11% (annual, semiannual payments)

Time to maturity: 23 years (semiannual payments)

Using the same bond pricing formula, the price of the Pybus bonds with an A rating can be calculated as follows:

Coupon Payment = (0.08 * $1,000) / 2 = $40

YTM = 0.11 / 2 = 0.055

n = 23 * 2 = 46

Price = ($40 / 0.055) * (1 - (1 / (1 + 0.055)^46)) + ($1,000 / (1 + 0.055)^46) ≈ $808.27

Therefore, the price of the Pybus bonds with an A rating would be approximately $808.27.

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Sally and Robin (S&R) Company is a local manufacturer of crystal valves in Guangdong. It produces 3 types of products namely K596, CF23 and SJ778 for export. The finance department of S&R is preparing

Answers

The finance department of S&R Company should prepare a master budget, which includes various components such as sales budget, production budget, direct materials budget, direct labor budget, manufacturing overhead budget, selling and administrative expense budget, and cash budget.

A master budget is a comprehensive financial plan that includes all the budgets and financial projections for a specific period. The sales budget estimates the expected sales revenue, which serves as the basis for other budgets. The production budget determines the quantity of each product to be manufactured based on the sales forecast and desired ending inventory. The direct materials budget estimates the materials required for production and the associated costs.

The direct labor budget calculates the labor hours and costs needed for production. The manufacturing overhead budget includes the estimated overhead costs. The selling and administrative expense budget estimates the expenses related to selling and administrative activities. The cash budget provides a projection of cash inflows and outflows to ensure sufficient cash availability.

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The lithospheric keel is 150 miles/240 km deep. O True O False The cost function is C'(x) = 10000 + 30x and the revenue function is R(x) = 50x, where x is the number of radios. The company's profit if 20,000 radios are produced is what is the value of the function f(x)=1/4s-3 when x=12 PLS HELP ME ON MY CASE STUDY ON DATA SCIENCE, I'LL ASSURE YOU TO GIVE A THUMBS UP! (further explanations would be very helpful!)My topic is all about Data Science Case Studies in Oil and Gas (Shell Company). And here are some questions to start my topic.The problem the case study sought to solveWhere and how it got the dataWhat data science tool was applied to answer the questionIs the study relevant/helpful?is it worthwhile doing?What is its contribution?Did the answer they found believable?Would you emulate this study? You own a portfolio that has $1,600 Invested in Stock A and $3,950 Invested in Stock B. 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Purchase: The company can purchase the site, construct the building, and purchase all store fixtures. The cost would be $1,856,200. An immediate down payment of $412,400 is required, and the remaining $1,443,800 would be paid off over 5 years at $352,100 per year (including interest payments made at end of year). The property is expected to have a useful life of 12 years, and then it will be sold for $504,200. As the owner of the property, the company will have the following out-of-pocket expenses each period. Property taxes (to be paid at the end of each year) $41,190 Insurance (to be paid at the beginning of each year) 27,020 Other (primarily maintenance which occurs at the end of each year) 16,190 $84,400 Lease: First National Bank has agreed to purchase the site, construct the building, and install the appropriate fixtures for Flint Inc. if Flint will lease the completed facility for 12 years. The annual costs for the lease would be $266,670. Flint would have no responsibility related to the facility over the 12 years. The terms of the lease are that Flint would be required to make 12 annual payments (the first payment to be made at the time the store opens and then each following year). In addition, a deposit of $105,500 is required when the store is opened. This deposit will be returned at the end of the 12th year, assuming no unusual damage to the building structure or fixtures. Click here to view factor tables Compute the present value of lease vs purchase. (Currently, the cost of funds for Flint Inc. is 10%.) Give your final answers as reduced improper fractions. Use Newton's method with the given xo to compute xy and x2 by hand. 1-3x-6=0, x= 1 x1 = and x2=