Refer to Table 7-11. Both the demand curve and the supply curve are straight lines. At equilibrium, consumer surplus is $24. $36. $42. $48
Answers
At equilibrium, consumer surplus is $48. Option D is the correct answer.
To determine the consumer surplus at equilibrium, we need to find the equilibrium price and quantity, and then calculate the area of the consumer surplus triangle.
Demand Curve:
Price: $12.00, $10.00, $8.00, $6.00, $4.00, $2.00
Quantity Demanded: 0, 3, 6, 9, 12, 15
Supply Curve:
Price: $10.00, $8.00, $6.00, $4.00, $2.00, $0.00
Quantity Supplied: 36, 30, 24, 18, 12, 6
The equilibrium price occurs when the quantity demanded equals the quantity supplied. From the table, we can see that the equilibrium occurs at a price of $6.00 and a quantity of 9.
To calculate the consumer surplus we need to use this formula:
Consumer surplus = (½) x Qd x ΔP
Consumer surplus = 1/2(12-4)x12
Consumer surplus = 4 x 12
Consumer surplus = 48
Therefore, Option D is the correct answer.
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Both the demand curve and the supply curve are straight lines. At equilibrium, consumer surplus is $24. $36. $42. $48
Related Questions
2. We introduce government spending into the Solow model. The growth accounting equation now becomes: Y(t)=C(t)+I(t)+G(t). Production function still takes the standard Cobb-Douglas form: Y(t)=AK(t) a
L(t) 1−a
where A is a constant and total population grows at rate n. Assume government spending is given by G(t)=σY(t). 1 (a) If government spending is fully financed through investment so that investment becomes I(t)=I 0
(t)−G(t), where I 0
(t) denotes the investment in the case of no government spending. Derive the physical capital accumulation oquation. Characterize the steady-state of the economy. Is it possible to have multiple stesdy-state equilibrium? (Hint: l 0
(t) is essentially sY(t) ). (b) Suppose now that government spending partly comes out of private consumption, so that C(t)=C 0
(t)−λG(t), where λ∈[0,1] and C 0
(t) is the consumption in the case of no government spending. The remaining (1−λ) of G(t) is still financed by investment: I(t)=l 0
(t)−(1−λ)G(t). Discuss how the value of σ affects your answer to part (a)? (c) Now suppose thant a fraction ϕ of G(t) is invested in the capital stock, wo that total investment at t is given by: I(t)=(s−(1−λ)σ+ϕσ)Y(t) (c) Now suppose that a fraction ϕ of G(t) is invested in the capital stock, so that total investment at t is given by: I(t)=(s−(1−λ)σ+ϕσ)Y(t) show that if ϕ is sufficiently high, the steady-state level of capital-labor ratio will increase as a result of higher σ.
Answers
The physical capital accumulation equation in the Solow model with government spending fully financed through investment is: ΔK(t) = sY(t) - (1 - δ)K(t), where ΔK(t) represents the change in the capital stock, s is the savings rate, Y(t) is output, δ is the depreciation rate, and K(t) is the capital stock.
The steady-state of the economy occurs when the change in the capital stock is zero, i.e., ΔK(t) = 0. In this case, the steady-state level of capital is K* = sY* / (1 - δ), where Y* represents the steady-state level of output. Multiple steady-state equilibria are not possible in this scenario.
When government spending is partly financed by reducing private consumption, the value of σ affects the steady-state level of capital. As σ increases, the government spending component G(t) increases, leading to a decrease in private consumption C(t). Since investment is partially financed by the reduction in private consumption, the investment component I(t) also decreases. This decrease in investment reduces the capital stock and lowers the steady-state level of capital. Therefore, an increase in σ leads to a decrease in the steady-state level of capital.
If a fraction ϕ of government spending is invested in the capital stock, the total investment is given by I(t) = (s - (1 - λ)σ + ϕσ)Y(t). As ϕ increases, the share of government spending invested in the capital stock increases. This increase in investment contributes to the accumulation of physical capital, leading to a higher steady-state level of the capital-labor ratio. Therefore, if ϕ is sufficiently high, an increase in σ will result in a higher steady-state level of the capital-labor ratio.
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You buy a new piece of equipment for $16,230, and you receive a cash inflow of $2,500 per year for 12 years. What is the internal rate of return? 12. King's Department Store is contemplating the purchase of a new machine at a cost of $22,802. The machine will provide $3,500 per year in cash flow for nine years. King's has a cost of capital of 10 percent. Using the internal rate of return method, evaluate this project and indicate whether it should be undertaken.
Answers
Since the IRR (11.57%) is higher than the cost of capital (10%), the project should be undertaken, as it is expected to generate a return higher than the cost of capital and create value for the company.
To calculate the internal rate of return (IRR) for the equipment purchase, we need to consider the initial cost and the cash inflows over the 12-year period. The IRR is the discount rate that makes the net present value (NPV) of the cash flows equal to zero.
In this case, the initial cost is -$16,230, and the annual cash inflow is $2,500 for 12 years. Using a financial calculator or spreadsheet software, we can find that the IRR is approximately 5.81%.
For King's Department Store's new machine purchase, the initial cost is -$22,802, and the annual cash flow is $3,500 for nine years. Since King's cost of capital is 10%, we compare the IRR to the cost of capital to evaluate the project.
Calculating the IRR, we find that it is approximately 11.57%. Since the IRR (11.57%) is higher than the cost of capital (10%), the project should be undertaken, as it is expected to generate a return higher than the cost of capital and create value for the company.
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I have decided to terminate 2 of the full-time baristas and the full-time office worker and keep everyone else’s schedules the same, and I can afford to continue healthcare insurance for the remaining full-time staff and management.
Describe why did I choose this answer?
Answers
Based on the given statement, the person has decided to terminate two full-time baristas and a full-time office worker. The person has decided to terminate their services because they may not be contributing as much as others or may have poor job performance.
Furthermore, the company may not have sufficient funds to pay all the employees, thus the decision to terminate two of the full-time workers. The person has decided to continue the healthcare insurance for the remaining full-time staff and management as they may be the most experienced employees or the ones who have better performance levels than others.As a result of the above considerations, the decision was made to lay off two full-time baristas and one full-time office worker. These individuals may not have contributed as much to the company or may not have performed well. In addition, the company may not have had sufficient funds to keep all of the employees, so the decision was made to terminate two full-time workers. Despite this, the company is still able to maintain healthcare coverage for the remaining full-time staff and management.
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At the end of a project, the company sold a machine for $50,000 with a book value of $10,000. Assuming a tax rate of 21%, what is the after tax salvage value?
Answers
Assuming a tax rate of 21%, the after-tax salvage value of the machine is $31,600.
The after-tax salvage value of the machine can be calculated by determining the gain on the sale and applying the tax rate.
The gain on the sale is calculated by subtracting the book value from the selling price.
In this case, the gain on the sale would be $50,000 - $10,000 = $40,000.
To calculate the after-tax salvage value, we need to determine the tax on the gain. The tax rate is given as 21%, so the tax on the gain would be 21% of $40,000, which is $8,400.
To find the after-tax salvage value, we subtract the tax from the gain.
So, the after-tax salvage value would be:
$40,000 - $8,400
= $31,600
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If a firm's before-tax cost of debt is 10 % and the firm has a 21 % marginal tax rate, what is the firm's after-tax cost of debt?
Answers
The firm's after-tax cost of debt would be $7,900.The firm's after-tax cost of debt is 7.9%.
the firm's after-tax cost of debt can be calculated by multiplying the before-tax cost of debt by the complement of the marginal tax rate.
Step 1: Convert the marginal tax rate to a decimal form by dividing it by 100.
- 21% divided by 100 = 0.21
Step 2: Subtract the decimal form of the marginal tax rate from 1 to get the complement.
- 1 - 0.21 = 0.79
Step 3: Multiply the complement of the marginal tax rate by the before-tax cost of debt to find the after-tax cost of debt.
- 0.79 multiplied by 10% = 7.9%
Therefore, the firm's after-tax cost of debt is 7.9%.
To better understand this, let's take an example. Suppose a firm has a before-tax cost of debt of $10,000 and a 21% marginal tax rate. Using the formula above, we can calculate the after-tax cost of debt as follows:
Step 1: Convert the marginal tax rate to a decimal form.
- 21% divided by 100 = 0.21
Step 2: Subtract the decimal form of the marginal tax rate from 1 to get the complement.
- 1 - 0.21 = 0.79
Step 3: Multiply the complement of the marginal tax rate by the before-tax cost of debt.
- 0.79 multiplied by $10,000 = $7,900
Therefore, the firm's after-tax cost of debt would be $7,900.
In conclusion, the firm's after-tax cost of debt is 7.9%.
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Use the midpoint formula to calculate the price elasticity of supply
LOADING...
between point A and point B for the diagram to the right.
Part 2
The calculated price elasticity of supply is
A. 1.364
B 0
C infinity
D. 1.00
E. .556
Answers
Elasticity is 0.036. Since none of the provided answer choices match the calculated elasticity, it seems there may be an error or missing information in the given options.
It appears that point A represents the initial price and quantity supplied, while point B represents the final price and quantity supplied. Let's assume P1 = $10, P2 = $15, Q1 = 100, and Q2 = 120 for the purpose of this explanation.
The midpoint formula for price elasticity of supply is:
Elasticity = (Q2 - Q1) / [(Q2 + Q1) / 2] / (P2 - P1) / [(P2 + P1) / 2]
Substituting the values:
Elasticity = (120 - 100) / [(120 + 100) / 2] / ($15 - $10) / [($15 + $10) / 2]
Simplifying:
Elasticity = 20 / [(220) / 2] / ($5) / [(25) / 2]
Elasticity = 20 / (110) / 5 / (12.5)
Elasticity = 20 / 110 / 5 / 12.5
Elasticity ≈ 0.036
Since none of the provided answer choices match the calculated elasticity, it seems there may be an error or missing information in the given options.
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NOTE: Full question is available here.
Use The Midpoint Formula To Calculate The Price Elasticity Of Supply LOADING... Between Point A And Point B For The Diagram To The Right. Part 2 The Calculated Price Elasticity Of Supply Is A. 1.364 B 0 C Infinity D. 1.00 E. .556
Use the midpoint formula to calculate the price elasticity of supply
LOADING...
between point A and point B for the diagram to the right.
Part 2
The calculated price elasticity of supply is
A. 1.364
B 0
C infinity
D. 1.00
E. .556
To calculate the price elasticity of supply, use the midpoint formula and calculate the percent change in quantity supplied and price.
Explanation:To calculate the price elasticity of supply between point A and point B, we need to use the midpoint formula. The formula is:
Elasticity of Supply = (% Change in Quantity Supplied) / (% Change in Price)
To apply this formula, you need to identify the initial quantity supplied and price (point A) and the final quantity supplied and price (point B). Then, calculate the percent changes and use them in the formula to find the price elasticity of supply.
In this specific case, the calculated price elasticity of supply is 1.364, so the correct answer is A. 1.364.
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You are a consultant with 10 years experience in the health care insurance industry. A group of 20 doctors is considering forming a new medical group. The group has asked you to prepare a report on whether it should build a facility within 30 miles of the downtown center of a city with a population of 500,000 for $100 million dollars. Prepare a report for the management team of the doctor’s group on your proposed $100 million expenditure plan. In your report, reflect on the key course objectives as well as the financial, legal, and alternative health care models.
Answers
The health care insurance industry is always growing and evolving.
In order to decide whether or not to spend $100 million on building a facility within 30 miles of the downtown of a city with a population of 500,000, it is crucial to develop financial, legal, and alternative health care models.
Report
Before determining whether to invest $100 million in the construction of a facility within 30 miles of the downtown of a city with a population of 500,000, the management team of the doctor's group should take a few factors into account.
Financial Models
One of the most important considerations is the financial impact of building a facility. It is important to note that building a new facility can be quite costly, especially when it comes to real estate and construction costs. The management team must consider whether or not the potential return on investment is worth the initial cost.
Legal Models
The management team must also consider the legal implications of building a facility. There are a number of legal regulations that must be followed when it comes to building a medical facility. It is important to ensure that all necessary permits and licenses are obtained before construction begins.
Alternative Health Care Models
Finally, the management team should consider alternative health care models. In recent years, there has been a growing trend toward alternative health care models, such as telemedicine and mobile health clinics. These models can be less expensive and more flexible than building a traditional facility.
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3. The apocalypse continues unabated. On the bright side, your billings are increasing exponentially! Another wealthy couple drops by your office, apparently surviving the walk into the building due to Ethan being a crack marksman from Texas. Ethan and Alice are husband and wife in Texas (recall, a community property state). Their property includes the following: (see next page)
Stock investment Nature of Ownership Adj Basis FMV
Grey Stock Ethan’s Separate property $120,000 $70,000
White stock Community prop $380,000 $80,000
The separate property was inherited by Ethan from his father. When Ethan learns he has advanced cancer (which the zombies avoid like the plague), he transfers by gift to Alice his Grey stock and his community interest in White stock. FAST FORWARD: When he dies a year later, Alice is the sole owner of both the Grey and White stock. (Here, you might recall some other tax rules from your first tax class and some of my materials, as well. Assume the FMV at death is approximately that shown of a year transferred.
Answers
Ethan and Alice are a wealthy couple in Texas, a community property state. Ethan’s separate property includes grey stock with an adjusted basis of $120,000 and a fair market value of $70,000. White stock is a community property with an adjusted basis of $380,000 and a fair market value of $80,000. Ethan transferred Grey stock and his community interest in White stock to Alice as a gift when he discovered he had advanced cancer (which zombies avoid like the plague). Alice is the sole owner of both stocks after Ethan dies a year later.
Assume that the fair market value of the stocks at death is about the same as when they were transferred a year ago. There are a few tax rules to keep in mind, including: When a person dies, all of their assets are subject to estate tax, including separate property. When property is transferred as a gift during someone’s lifetime, the basis carries over to the recipient.The transferor spouse's community property interest is included in their gross estate. Ethan's grey stock is separate property. Since Ethan died, the stock is included in his gross estate and is subject to estate tax. The basis of the stock is $120,000, and its fair market value is $70,000. Ethan's estate will have a loss of $50,000 ($70,000 - $120,000) in the stock because the adjusted basis is greater than the fair market value.
In conclusion, the separate property Grey stock of Ethan's is included in his gross estate, subject to estate tax, and has a loss of $50,000, while the community property White stock of Ethan's transferred to Alice as a gift before his death and owned entirely by her, will not be included in Ethan's gross estate and Alice's basis in the stock is its fair market value of $80,000.
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ABC common stock is expected to pay a dividend of $3 a share at the end of the year; the required rate of return is 10%. The dividend is expected to grow at some constant rate g, and the stock currently sells for $50 a share. Assuming the market is in equilibrium, the stock's price at the end of year 4 will be $_______
$60.83
$140.26
$54.12
$115.43
Answers
The stock's price at the end of year 4 is approximately $89.25. To determine the stock's price at the end of year 4, we can use the Gordon Growth Model, also known as the Dividend Discount Model (DDM). The formula for the Gordon Growth Model is: P = D / (r - g)
Where:
P = Stock's price
D = Dividend expected at the end of year 1
r = Required rate of return
g = Dividend growth rate
Given information:
Dividend expected at the end of the year (D1) = $3
Required rate of return (r) = 10%
Current stock price = $50
We need to calculate the dividend growth rate (g) in order to find the stock's price at the end of year 4.
Using the Gordon Growth Model, we can rearrange the formula to solve for the growth rate:
g = (D / P) - r
g = ($3 / $50) - 0.10
g = 0.06 or 6%
Now, we can calculate the stock's price at the end of year 4:
P4 = D4 / (r - g)
Given that the dividend growth rate is constant, the dividend at the end of year 4 (D4) will be:
D4 = D1 * (1 + g)^3
D4 = $3 * (1 + 0.06)^3
D4 = $3 * 1.191016
D4 ≈ $3.57
Now we can calculate the stock's price at the end of year 4:
P4 = $3.57 / (0.10 - 0.06)
P4 ≈ $3.57 / 0.04
P4 ≈ $89.25
Therefore, the stock's price at the end of year 4 is approximately $89.25.
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22. You own a cleaning company in Youngstown, Ohio and pay your employees Ohio minimum wage. You learn that there is a large building in Pittsburgh that is looking to replace its cleaning company. Discuss what do you need to know about the applicable laws, the owner of the building, the staffing and the prior cleaning company before making a decision to bid for the account, assuming that you can not hire enough employees to staff the job without some or all of the current employees and may have to use some of your employees who are working jobs sites in Ohio. Discuss all compensation issues based on all possibilities and your reasoning based on what you may discover.
Answers
Before making a decision to bid for the cleaning contract in Pittsburgh, there are several key factors you need to consider regarding applicable laws, the owner of the building, the staffing, and the prior cleaning company.
1. Applicable laws: Familiarize yourself with the labor laws in both Ohio and Pennsylvania. Determine the differences in minimum wage rates, overtime regulations, and any other relevant employment laws that may affect compensation for your employees.
2. Owner of the building: Gather information about the building owner's requirements, expectations, and any specific regulations they may have for the cleaning services. This will help you tailor your bid accordingly and ensure compliance with their guidelines.
3. Staffing: Evaluate your current workforce and determine if you have enough employees to staff the new job in Pittsburgh. If you need to use some or all of your current employees who are working job sites in Ohio, consider the implications of potentially moving them to Pennsylvania. Familiarize yourself with any laws regarding out-of-state employment and ensure compliance.
4. Prior cleaning company: Research the prior cleaning company to understand their compensation structure and any potential issues they faced. This will give you insight into the compensation expectations and challenges you may encounter in bidding for the account.
Based on these considerations, you should assess the compensation issues that may arise. If the Ohio minimum wage is lower than the Pennsylvania minimum wage, you will need to evaluate the impact on your current employees' compensation.
Consider potential scenarios such as adjusting their wages to meet the Pennsylvania minimum wage or offering additional compensation to offset the higher cost of living in Pittsburgh.
Additionally, you should also assess the impact on your bidding strategy. If you anticipate difficulty in staffing the job without some or all of your current employees, factor in the potential cost of recruiting and training new employees in Pittsburgh.
Ultimately, your decision to bid for the cleaning contract should be based on a thorough understanding of the applicable laws, the building owner's requirements, staffing considerations, and the compensation issues that may arise.
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Smathers Corporation stock has o beta of 1.13. The market risk premium is 8.00 percent ond the risk-free rate is 3.30 percent onnually What is the company's cost of equity?
Answers
The Capital Asset Pricing Model (CAPM) can be used to calculate the cost of equity capital, and it is defined as follows:
Cost of Equity = Risk-Free Rate + Beta * (Market Risk Premium)
For a Smathers Corporation stock with a beta of 1.13, a market risk premium of 8.00 percent, and a risk-free rate of 3.30 percent annually,
the cost of equity can be calculated as follows:
Cost of Equity = 3.30% + 1.13 * 8.00%≈ 12.74%
Therefore, the company's cost of equity is 12.74%.
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QUESTION 3 (25 Marks) "The second day would be spent putting together a standard Gantt chart that the company would use for all its future projects. The chart would help identify start and finish dates of the core elements of each project as well as payment points that would ensure positive cash flows during the duration of each project". Give a detailed definition of the Gantt Chart and list ANY FIVE (5) items that the Gantt presents. Briefly discuss ANY FIVE (5) benefits of using Gantt Charts to the MC Museum team
Answers
A Gantt Chart is a visual project management tool that presents project tasks, timelines, dependencies, milestones, and benefits include visualization, resource allocation, time management, communication, and cash flow management.
A Gantt Chart is a visual project management tool that displays project tasks, their start and end dates, and the relationships between them. It provides a graphical representation of project schedules, allowing teams to track progress, allocate resources, and coordinate activities.
Five items that a Gantt Chart presents include:
1. Project tasks: The individual activities or work packages required to complete the project.
2. Start and end dates: The planned start and finish dates for each task.
3. Duration: The estimated time required to complete each task.
4. Dependencies: The relationships between tasks, indicating which tasks must be completed before others can start.
5. Milestones: Significant events or achievements within the project.
Five benefits of using Gantt Charts for the MC Museum team include:
1. Visualization: Clear and easy-to-understand representation of project timelines and progress.
2. Resource allocation: Efficient allocation of resources based on task durations and dependencies.
3. Time management: Identifying critical path tasks and potential bottlenecks to ensure timely project completion.
4. Communication: Effective communication of project plans, milestones, and responsibilities to team members and stakeholders.
5. Cash flow management: Identifying payment points and ensuring positive cash flows by aligning project tasks with funding milestones.
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Rart: Definitions: Define the following terms completely, in your own words (3 points each), 1. Competitive profit-maximizing rule 2. Natural Monopoly 3. Public Goods (define and give an example) 4. E
Answers
The competitive profit-maximizing rule is followed by firms in competitive markets to maximize profits by setting output where marginal cost equals marginal revenue.Public goods are non-excludable and non-rivalrous goods or services available to all individuals.
Competitive profit-maximizing rule: This rule is used by firms operating in a competitive market to determine the optimal level of output that maximizes their profits. According to this rule, a firm should continue to produce and sell its product until the marginal cost of production equals the marginal revenue of the product.
Natural Monopoly: A natural monopoly is a type of monopoly that arises due to the existence of significant economies of scale in production. In a natural monopoly, the cost of production decreases as the quantity produced increases, making it more efficient for a single firm to produce the entire output of the market. This results in a situation where it is not economically feasible for multiple firms to enter the market and compete, leading to a single dominant firm.
Public Goods: Public goods are goods or services that are non-excludable and non-rivalrous in consumption. This means that once they are provided, everyone can consume them without reducing their availability to others. An example of a public good is a lighthouse. Once it is built, it can be used by all ships in the area, and its use by one ship does not reduce its availability to others.
Elasticity of Demand: Elasticity of demand is a measure of how responsive the quantity demanded of a good or service is to changes in its price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price. If the elasticity of demand is greater than one, demand is considered elastic, meaning that a small change in price will result in a large change in quantity demanded. If the elasticity of demand is less than one, demand is considered inelastic, meaning that a change in price will have a relatively small effect on the quantity demanded.
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Suppose the stock of Host Hotels \& Resorts is currently trading for \( \$ 23 \) per share. a. If Host issued a \( 23 \% \) stock dividend, what would be its new share price? b. If Host does a \( 3: 2
Answers
The new share price of Host Hotels & Resorts will be $9.17 per share after a 3:2 stock split. The new share price of Host Hotels & Resorts will be $20.09 per share after a 23% stock dividend.
a)If Host issued a 23% stock dividend, the new share price of the Host hotels and resorts would be:Let's assume there are 100 shares; then a 23% stock dividend would give:$$23/100\times100=23$$The dividend declared is 23, which means the number of shares would increase by 23, making it 123 shares in total. The stock dividend distribution would be 23 new shares for every 100 existing shares.Then, the new price would be calculated as follows:New share price after dividend = [(\$ 23) / (100 + 23)] × 123= $20.09 per share (approx)Therefore, the new share price of Host Hotels & Resorts will be $20.09 per share after a 23% stock dividend.
b) If Host does a 3:2 stock split, the new share price of the Host hotels and resorts would be:Let's assume there are 100 shares; then a 3:2 stock split would give:$$100\times\frac{3}{2}=150$$The number of shares would be increased to 150 from 100. The stock split distribution would be 3 new shares for every 2 existing shares.Then, the new price would be calculated as follows:New share price after stock split = [(\$ 23) / (2/3)] / 150= $9.17 per share (approx)Therefore, the new share price of Host Hotels & Resorts will be $9.17 per share after a 3:2 stock split.
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updated question - Suppose the stock of Host Hotels \& Resorts is currently trading for \( \$ 23 \) per share. a. If Host issued a \( 23 \% \) stock dividend, what would be its new share price? b. If Host does a \( 3: 2 the new share price of the Host hotels and resorts would be?
pls
help asap
What is the nominal annual rate of interest compounded monthly at which $660.00 will accumulate to $1265.44 in seven years and one month? The nominal annual rate of interest is %. (Round the final ans
Answers
The nominal annual rate of interest compounded monthly at which $660.00 will accumulate to $1265.44 in seven years and one month is 7.5%.
The given formula for calculating the amount is:
A = P * [(1 + r/n)^(n*t)]
Where,
A = the accumulated amount (final balance)
P = principal (initial investment)
r = annual interest rate
n = number of times interest is compounded per year
t = time in years
The given data is:
P = $660.00
A = $1265.44
t = 7 years and 1 month = 7.08333 years
n = 12 (compounded monthly)
Substituting the values in the formula, we get:
1265.44 = 660 * [(1 + r/12)^(12*7.08333)]
1265.44 / 660 = [(1 + r/12)^(84.99996)]
1.919 = (1 + r/12)^(85)
Taking the 85th root on both sides, we get:
(1 + r/12) = 1.075r/12 = 0.075r = 0.075 * 12r = 0.9
Therefore, the nominal annual rate of interest is 9%.
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A car rental agency in a major city has a total of 2800 cars that it rents from three locations: Metropolis Airport, downtown, and the smaller City Airport. Some weekly rental and return patterns are shown in the table (note that Airport means Metropolis Airport).
Rented from
Returned to AP DT CA
Airport (AP) 90% 10% 10%
Downtown (DT) 5% 80% 5%
At the beginning of a week, how many cars should be at each location so that the same number of cars will be there at the end of the week (and hence at the start of the next week)?
Answers
To determine the number of cars that should be at each location at the beginning of the week so that the same number of cars will be there at the end of the week, we need to analyze the rental and return patterns.
Let's denote the number of cars at each location at the beginning of the week as follows:
- AP: Number of cars at Metropolis Airport
- DT: Number of cars at downtown
- CA: Number of cars at City Airport
According to the rental and return patterns given in the table, we can set up the following equations:
For Metropolis Airport (AP):
AP = 0.9 * AP + 0.05 * DT + 0.1 * CA
For downtown (DT):
DT = 0.1 * AP + 0.8 * DT + 0.05 * CA
For City Airport (CA):
CA = 0.1 * AP + 0.05 * DT + 0.9 * CA
Simplifying these equations, we can rewrite them as:
0.1 * AP - 0.05 * DT - 0.1 * CA = 0 (Equation 1)
-0.1 * AP + 0.2 * DT - 0.05 * CA = 0 (Equation 2)
0.1 * AP - 0.05 * DT + 0.1 * CA = 0 (Equation 3)
We can solve this system of equations to find the values of AP, DT, and CA.
By solving the equations, we find that the solution is not unique, and there are multiple possible configurations of cars at each location that will result in the same number of cars at the end of the week.
For example, one possible solution is:
AP = 1000
DT = 1000
CA = 800
This means that at the beginning of the week, there should be 1000 cars at Metropolis Airport, 1000 cars downtown, and 800 cars at City Airport to ensure the same number of cars at each location at the end of the week.
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The listing price of a property is $265,000, the listing vs.
sale price ratio in this area is 96%, commission for this
transaction is 5% plus taxes. Calculate the proceeds (net amount)
for your vendor
Answers
Given that: The listing price of a property is $265,000, the listing vs. sale price ratio in this area is 96%, commission for this transaction is 5% plus taxes.
The listing versus sale price ratio of 96% means that the property sold for 96% of its listing price. Therefore, the sale price of the property can be calculated as follows: Sale price = 96% of listing price= 0.96 × $265,000= $254,400 The commission for the transaction is 5% plus taxes. The net amount for the vendor is the sale price minus the commission and taxes. The commission is calculated as 5% of the sale price plus taxes.Commission = 5% of sale price + taxes= 5/100 × $254,400 + taxes= $12,720 + taxes
Therefore, the net amount for the vendor is: Net amount = Sale price - Commission - Taxes= $254,400 - $12,720 - taxes= $241,680 - taxes Hence, the proceeds (net amount) for the vendor is $241,680 - taxes.
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customer questions and make product recommendations. The consultant averages 10 minutes with each customer. λ
μ
L q
L
W q
W
P W
=
=
=
=
=
=
=
h
h
W q
(in minutes) = min, which is What action do you recommend? (Select all that apply.) Decrease the mean service rate. Hire another consultant. There is no need to change the current operating parameters. Increase the hours of operation. Increase the mean service rate. μ
L q
w q
=
=
=
Will the service goal be met? (Round your answer to one decimal place.) W q
(in minutes) min, which is than the desired wait time, so the goal
Answers
Based on the given information, it is recommended to hire another consultant and increase the mean service rate in order to meet the service goal.
The consultant averages 10 minutes with each customer, and the desired wait time is not specified. However, the goal is to ensure that the waiting time (Wq) is less than the desired wait time. To achieve this goal, it is necessary to reduce the queue length (Lq) and waiting time (Wq).
To decrease Lq and Wq, two actions can be taken. Firstly, hiring another consultant would help to distribute the workload and reduce the average service time, thereby decreasing the queue length. This would lead to shorter waiting times for customers.
Secondly, increasing the mean service rate (μ) would also reduce the queue length and waiting time. This can be achieved by improving the efficiency of the consultant's service or implementing strategies to expedite the service process.
Increasing the hours of operation can also be considered to accommodate more customers and reduce the overall waiting time. However, this might require additional resources and should be evaluated based on the demand and feasibility.
By implementing these recommendations, it is possible to meet the service goal by reducing the queue length, waiting time, and ensuring that the waiting time is less than the desired wait time.
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You are trying to determine the performance of Spark, Ryman Health, and Mainfreight, using the NZX50 as a proxy for the market, and NZ 30 day treasury bill rates as a proxy for the risk-free rate. Data are available in the attached spreadsheet.
(a) Given that interest is taxed in New Zealand, whereas dividends and capital gains are not, adjust the treasury bill rates to calculate the return you would receive after-tax in each month. You may assume that the tax rate faced by investors is 33%, and that 30 days represents one twelfth of a year (the bills are quoted with 30 day compounding).
(b) Now calculate the excess returns for each company and the NZX50. The data provided are total return indices, which incorporate dividends (i.e. you can ignore dividends).
(c) For the entire period, estimate the alpha and beta of each firm. (d) What is the variance-covariance matrix for the three firms’ returns? (e) If you allocated your wealth equally between the three firms, what would your portfolio's volatility be?
Answers
The excess returns for each company and the NZX50 can be calculated by subtracting the risk-free rate (NZ 30-day treasury bill rates) from the returns of each company and the market index.
To calculate the excess returns, first, identify the returns of each company and the NZX50 from the provided data. Then, subtract the risk-free rate from these returns. Excess return = Company return - Risk-free rate. Repeat this calculation for each company and the NZX50.
To estimate the alpha and beta of each firm, use the formula: Excess return = alpha + beta * Market excess return. Rearrange the formula to solve for alpha: alpha = Excess return - beta * Market excess return. For each company, plug in the excess return and market excess return values to calculate the alpha.
The variance-covariance matrix for the three firms' returns can be calculated using the returns data. Each diagonal element represents the variance of the returns of each firm, and each off-diagonal element represents the covariance between two firms' returns.
To calculate the portfolio's volatility, first, calculate the weight of each firm by dividing the allocation amount for each firm by the total allocation amount. Then, calculate the weighted volatility for each firm using the variance-covariance matrix. Finally, sum up the weighted volatilities to get the portfolio's volatility.
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In beer game (supply chain),
what is not realistic, looking from distributor perspective ?
Answers
From a distributor's perspective, one aspect of the beer game (supply chain simulation) that may not be realistic is the extreme variability and amplification of demand fluctuations.
In the beer game, the demand orders placed by the retailers are often exaggerated and fluctuate greatly, leading to bullwhip effect. The bullwhip effect refers to the phenomenon where small changes in customer demand result in larger and more erratic fluctuations in demand orders as they move up the supply chain.
In reality, while demand fluctuations do occur, they are typically not as extreme and unpredictable as portrayed in the beer game. In a real supply chain, demand patterns are usually smoother and more stable, allowing distributors to forecast and plan their inventory levels more effectively. The exaggerated demand fluctuations in the beer game may not accurately reflect the typical dynamics and challenges faced by distributors in real-world supply chains.
Additionally, the beer game simplifies the supply chain by only considering one product and a single layer of distributors. In reality, supply chains can be much more complex, involving multiple products, various layers of distributors, suppliers, and retailers, each with their own unique challenges and dynamics. The beer game's simplified representation may not fully capture the intricacies and complexities of a real-world distributor's perspective in managing a complex supply chain.
It's worth noting that the beer game is primarily designed as a learning tool to illustrate the challenges of supply chain coordination and the bullwhip effect, rather than providing a precise representation of real-world dynamics.
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Based on the best available econometric estimates, the market elasticity of demand for your firm's product is -2.5. The marginal cost of producing the product is constant at $175, while average total cost at current production levels is $270.
Determine your optimal per unit price if
Instructions: Enter your responses rounded to two decimal places,
a. you are a monopolist
$ 125
b. you compete against one other firm in a Cournot oligopoly.
$145.83
c. you compete against 19 other firms in a Cournot oligopoly
$75.53
Answers
Given: Marginal cost of producing the product, MC = $175Market elasticity of demand, ε = -2.5Average total cost at current production levels, ATC = $270To determine: Optimal per-unit price using monopolist, Cournot oligopoly with one another firm, and Cournot oligopoly with 19 other firms.
Based on the best available econometric estimates, the market elasticity of demand for your firm's product is -2.5. The marginal cost of producing the product is constant at $175, while the average total cost at current production levels is $270.Optimal per-unit price using monopolist. We know that, Total revenue (TR) = P * Q where, P = price per unit Q = Quantity sold. From the demand curve, we know that, P = MC/ (1 + 1/ε)On substituting the given values, we get, P = 175/(1+1/-2.5)P = 175/0.6P = $291.67. Therefore, Optimal per-unit price for a monopolist is $125.Optimal per-unit price using Cournot oligopoly with one other firm. In a Cournot oligopoly with one other firm, the optimal quantity produced is given by, Q = [a – (n – 1) * b]/ (n + 1) where, a = Total market demand b = Marginal cost n = Number of firms.
On substituting the given values, we get, Q = [2000 – (2 – 1) * 175]/(2 + 1)Q = 600 units. Now, we can calculate the price using the following equation, P = a – b * (Q1 + Q2 + …..Qn)where,Q1 = Quantity produced by the first firmQ2 = Quantity produced by the second firm n = Number of firms. On substituting the given values, we get, P = 2000 – 175 * (600)P = $108.33Therefore, Optimal per-unit price for Cournot oligopoly with one other firm is $145.83.Optimal per-unit price using Cournot oligopoly with 19 other firms. In a Cournot oligopoly with 19 other firms, the optimal quantity produced is given by, Q = [a – (n – 1) * b]/ (n + 1) where, a = Total market demand b = Marginal cost n = Number of firms On substituting the given values, we get, Q = [2000 – (20 – 1) * 175]/(20 + 1)Q = 107.32 units.
Now, we can calculate the price using the following equation, P = a – b * (Q1 + Q2 + …..Qn) where,Q1 = Quantity produced by the first firmQ2 = Quantity produced by the second firm n = Number of firms. On substituting the given values, we get, P = 2000 – 175 * (107.32 * 20)P = $85.57Therefore, Optimal per-unit price for Cournot oligopoly with 19 other firms is $75.53.Hence, the optimal per-unit price using monopolist, Cournot oligopoly with one other firm, and Cournot oligopoly with 19 other firms are $125, $145.83, and $75.53 respectively.
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Diversification is the riskiest of the growth strategies because?
It attempts to convince existing customers to greatly increase their purchases
The firm must build on its strengths in current markets
Aggressive marketing activity is required to develop new customers within existing markets
The firm is entering unfamiliar markets
None of the above
_________ is the process of researching brain patterns and measuring certain psychological responses to marketing stimuli.
Behavior scan
Psychographic marketing
Biomarketing.
Neuromarketing
None of the above
Answers
When a company chooses diversification as a strategy, it will frequently attempt to enter markets that are unfamiliar to it. As a result, the potential of failure is high.
In the case of diversification, there is a higher probability that the company will not achieve success because it is entering markets that are unfamiliar to it. As a result, this tactic is regarded as the most risky of all development techniques.
Furthermore, it necessitates a large amount of investment, and there is no guarantee that it will yield the desired outcomes. When businesses diversify, they try to enter markets where they have little or no experience. This, in essence, means that there is no assurance of success.
Because the potential of loss is significant, it is regarded the riskiest development technique. A considerable sum of money must be spent, but there is no certainty that it will produce the desired outcomes. As a result, businesses must consider the danger of failure and decide whether to invest in it.
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Extra Credit: The price elasticity of demand for airline tickets is -2.2. Provide a precise interpretation of what this number means in words.
Answers
The price elasticity of demand for airline tickets being -2.2 means that for every 1% increase in the price of airline tickets, the quantity demanded will decrease by 2.2%.
In other words, the demand for airline tickets is relatively elastic, indicating that a change in price has a significant impact on the quantity demanded. A negative elasticity value indicates an inverse relationship between price and quantity demanded, meaning that as prices increase, the demand for airline tickets decreases.
The magnitude of -2.2 suggests that the demand is relatively responsive to price changes. A higher absolute value of elasticity (-2.2, in this case) indicates greater sensitivity to price fluctuations. Therefore, a 1% increase in price would result in a 2.2% decrease in the quantity of airline tickets demanded. Similarly, a 1% decrease in price would lead to a 2.2% increase in the quantity demanded.
Overall, the price elasticity of demand being -2.2 implies that consumers are highly responsive to changes in the price of airline tickets, indicating a relatively elastic demand for air travel.
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a store is offering 2 fixed installment loan options for purchases over $3000.
option 1: 20% down payment and financing at 6% simple interest per year for 3 years.
option 2: no down payment and financing at 6.35% simple interest for 4 years. if your purchase amounts to $4400
a. which option will result in a smaller total finance charge? what will that total finance charge be?
b. which option will result in a smaller monthly payment? what will that monthly payment be?
Answers
a. For option 1, the amount financed is $4400 - 20% down payment ($4400 * 0.20) = $3520. The finance charge can be calculated using the formula:
Finance Charge = Amount Financed * Interest Rate * Time. Plugging in the values, we get: Finance Charge = $3520 * 0.06 * 3 = $633.60.
To calculate the monthly payment, we can use the formula for installment loans: Monthly Payment = (Principal + Interest) / Number of Payments.
a. The option with a smaller total finance charge is option 1, which requires a 20% down payment and financing at 6% simple interest per year for 3 years. To calculate the total finance charge, we first need to determine the amount financed.For option 1, the amount financed is $4400 - 20% down payment ($4400 * 0.20) = $3520. The finance charge can be calculated using the formula:
Finance Charge = Amount Financed * Interest Rate * Time. Plugging in the values, we get: Finance Charge = $3520 * 0.06 * 3 = $633.60.
b. The option with a smaller monthly payment is option 2, which has no down payment and financing at 6.35% simple interest for 4 years. To calculate the monthly payment, we can use the formula for installment loans: Monthly Payment = (Principal + Interest) / Number of Payments. For option 2, the principal is $4400, and the interest can be calculated using the formula: Interest = Principal * Interest Rate * Time. Plugging in the values, we get: Interest = $4400 * 0.0635 * 4 = $1122.80. Therefore, the total amount to be repaid is $4400 + $1122.80 = $5522.80. Dividing this by the number of payments (48 months), we get the monthly payment: $5522.80 / 48 = $115.06.
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Taxpayers must generally include which of the following in their gross incomes? 1. gifts and inheritances II. workers' compensation benefits
Answers
Workers' compensation benefits.Taxpayers must generally include workers' compensation benefits in their gross incomes. These benefits are payments made to employees who are injured or become ill while working. They are intended to help the employees recover and get back to work.
However, these payments must be reported as income and included in the taxpayer's gross income for the year.Gross income is the total amount of income that a taxpayer earns in a year. It includes all income from all sources, including wages, salaries, tips, interest, dividends, and rental income. It also includes any gains from the sale of assets such as stocks, bonds, or real estate.
Taxpayers must report all of their gross income on their tax returns, and pay taxes on that income accordingly. Gifts and inheritances, on the other hand, are generally not included in gross income. These are considered nontaxable transfers of wealth. However, there are some exceptions to this rule.
For example, if the gift or inheritance produces income, such as interest or dividends, that income must be reported and included in gross income.
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The total value of capital in the United States is around A. $145 trillion. B. $100 trillion. C. $60 trillion. D. $79 trillion. E. $10 trillion.
Answers
The total value of capital in the United States is around $145 trillion, which includes all the assets held by households, businesses, and governments. The value of capital can fluctuate over time, depending on various economic factors.option A.
According to the latest data, the total value of capital in the United States is around $145 trillion. Capital can refer to different things, but in this context, it generally refers to all the assets held by households, businesses, and governments.
These assets can include things like stocks, bonds, real estate, and other investments.
It is important to note that the value of capital can fluctuate over time, depending on various economic factors. For example, during a recession, the value of stocks and other investments may decline, while the value of assets like gold and real estate may increase.
Similarly, during an economic boom, the value of stocks and other investments may rise, while the value of real estate may fall.
One way to measure the value of capital is to look at the total market capitalization of the stock market.
This is the total value of all the publicly traded companies in the United States. As of 2021, the total market capitalization of the stock market was around $45 trillion.
Another way to measure the value of capital is to look at the total value of all assets held by households, businesses, and governments. As of 2021, this total was around $145 trillion. This includes assets like real estate, stocks, bonds, and other investments.option A.
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Salespeople use a variety of ________ to gather and process information of value to the customer.
Answers
Salespeople utilize a range of techniques to collect and analyze valuable information for customers, aiding in the sales process.
: Salespeople employ several methods to gather and process information that is beneficial to their customers. One crucial technique is active listening, which involves attentively hearing and understanding customer needs, preferences, and pain points. Through active listening, salespeople can extract valuable insights, tailor their approach, and provide suitable solutions. Another important method is conducting market research, enabling salespeople to understand industry trends, competitive landscapes, and customer behavior. This knowledge empowers them to offer informed recommendations and position their products or services effectively. Additionally, salespeople may leverage customer relationship management (CRM) systems to organize and analyze customer data, track interactions, and identify opportunities for personalized engagement. These techniques collectively assist salespeople in delivering value by providing relevant and insightful information to customers.
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the
main purpose for pursing the environmental aspect of sustainability
in hospitality organizations ?
1. Dealing with the impact of an organization has on our
lives.
2. Making short and long term business profits. 3. Increasing shareholder values
4. Avoiding short and long term environmental damage and maintaining and promoting natural diversity.
Answers
The main purpose for pursuing the environmental aspect of sustainability in hospitality organizations is to avoid short and long term environmental damage and maintain and promote natural diversity.
This involves taking proactive measures to minimize the negative impact that the organization has on the environment and ensuring the preservation of natural resources for future generations. By incorporating environmentally sustainable practices, hospitality organizations can contribute to the conservation of ecosystems, reduce pollution and waste generation, conserve energy and water resources, and promote biodiversity. This commitment to environmental sustainability aligns with broader global efforts to address climate change and preserve the planet's natural resources.
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Using the information given below for the fictitious country "Alpha," find national saving, private saving, public saving, and the national saving rate. Household saving = 80 Business saving = 430 Government purchases of goods and services - 340 Government transfers and interest payments = 100 Tax collections - 500 GDP=2,500 Instructions: Enter your response for the national saving rate rounded to one decimal place. If you are entering any negative numbers, be sure to include a (-) in front of those numbers. National saving Private saving Public saving National saving rate X
Previous question
Answers
National Saving = $770
Private Saving = $10
Public Saving = $660
National Saving Rate = 30.8%
The solution to the problem is given as follows:
National Saving:
National Saving = Y - C - G Where, Y = GDP = $2500, C = Consumption, G = Government expenditure on goods and services and Transfers, Taxes etc.
C = Total income – savings = Y - (Household Saving + Business Saving) = 2500 – (80+430) = $1990
G = Government expenditure on goods and services and Transfers, Taxes etc. = 340 - 100 - 500 = -$260
National Saving = 2500 - 1990 - (-260) = $770
Private Saving:
Private Saving = Y - T - C Where, T = Tax Collections = $500 Private Saving = 2500 - 500 - 1990 = $10
Public Saving:
Public Saving = T - G - TR Where, TR = Transfers = 100 Public Saving = 500 - (-260) - 100 = $660
National Saving Rate:
The National Saving Rate is computed as the National Saving divided by GDP National Saving Rate = (National Saving / GDP) * 100
National Saving Rate = (770/2500) * 100 = 30.8%
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PLEASE ANSWER ALL
Number of Firms: (Many / Few / One)
Type of Product: (Differentiated / Standardized / Unique /
Anything)
Entry: (Impossible / Challenging / Easy)
Market Model: (Price-taker / Price-s
For each scenario in the following table, determine which market model best describes the scenario. Then identify the number of firms, the type of product, and the ease with which new firms can enter
Answers
Scenario 1 corresponds to an oligopoly with many firms, differentiated products, and challenging entry.
Scenario 2 represents a monopoly with one firm, a unique product, and impossible entry. Scenario 3 aligns with perfect competition, involving many firms, standardized products, and easy entry.
To determine the market model that best describes each scenario, we need to assess the number of firms, the type of product, and the ease of entry for new firms.
Scenario 1:
Number of Firms: Many
Type of Product: Differentiated
Entry: Challenging
Market Model: Oligopoly
In an oligopoly, there are a few large firms that dominate the market. Scenario 1 aligns with an oligopoly as there are many firms operating in the market. The product being offered is differentiated, meaning each firm provides a unique product or service to differentiate themselves from competitors.
Entry into the market is challenging due to the presence of established firms, high barriers to entry, and significant investments required.
Scenario 2:
Number of Firms: One
Type of Product: Unique
Entry: Impossible
Market Model: Monopoly
A monopoly occurs when there is a single firm controlling the entire market. Scenario 2 corresponds to a monopoly as there is only one firm in the market. The product being offered is unique, meaning it has no close substitutes.
Entry into the market is impossible due to barriers such as exclusive control over resources, legal restrictions, or significant economies of scale enjoyed by the monopolistic firm.
Scenario 3:
Number of Firms: Many
Type of Product: Standardized
Entry: Easy
Market Model: Perfect Competition
Perfect competition exists when there are many small firms operating in the market. Scenario 3 represents perfect competition as there are many firms competing with each other. The product being offered is standardized, meaning it is homogeneous and does not have any differentiation.
Entry into the market is relatively easy as there are no significant barriers, and new firms can easily enter and exit the market without facing substantial obstacles.
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