1 year lease agreement requires a payment of $1798+u dollars per month, with the first payment due next month. compute the present value of those payments to the lessor if appropriate annualized discount rate is 4.98%?
24. A 2 year lease agreement requires a payment of 1615+u per month, with the first payment due today. compute the present value of those payments to the lessor if the appropriate annualized discount rate is 5.83%?
u=12
Answers
The present value of the lease is $20,444.20.2 and when discount rate is 5.83 % the present value of the lease is $37,189.84.
1. A 1-year lease agreement requires a payment of $1798 + u dollars per month, with the first payment due next month
2. A 2-year lease agreement requires a payment of $1615 + u dollars per month, with the first payment due today
u = 12
To calculate: Compute the present value of those payments to the lessor if the appropriate annualized discount rate is given in both cases.
1. The present value of the lease is calculated using the formula:
PV = Payment / (1 + r)n
where,PV = present value
Payment = Payment made each period
r = annual discount rate
n = number of periods
a. In this case, the payment is made for 12 months, and the annualized discount rate is 4.98%.
Thus, the monthly discount rate = r / 12
= 4.98% / 12
= 0.415%
And, the number of periods, n = 12
PV = 1798+12 / (1 + 0.00415)1 + 1798+12 / (1 + 0.00415)2 + 1798+12 / (1 + 0.00415)3 + ... + 1798+12 / (1 + 0.00415)12
= 20,444.20
Therefore, the present value of the lease is $20,444.20.2.
In this case, the payment is made for 24 months, and the annualized discount rate is 5.83%.
Thus, the monthly discount rate = r / 12
= 5.83% / 12
= 0.4858%
And, the number of periods,
n = 24PV = 1615+12 / (1 + 0.004858)1 + 1615+12 / (1 + 0.004858)2 + 1615+12 / (1 + 0.004858)3 + ... + 1615+12 / (1 + 0.004858)24
= 37,189.84
Therefore, the present value of the lease is $37,189.84.
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Related Questions
debbie is applying for a gas card. If she gets approved, what type of credit will it most likey be?
Answers
Answer:
debt
Explanation:
A large public corporation in the telecommunications industry has become so powerful that it uses its vast resources to prevent other companies from entering the market as a competitor. the federal courts determine the company to be an illegal monopoly and order it to be split into multiple separate corporations. why
is this government action considered appropriate in americas free market economy?
A. in a free market economy, it is important for wealth to be distributed evenly.
B. by acting to disband a monopoly, the government is actually protecting competition and the free market.
C. the government has extraordinary power to step in and intervene in cases dealing with public corporations.
D. despite popular belief, America is not meant to have a free market economy.
Answers
Answer:
by acting to disband a monopoly, the government is actually protecing competition and the free market
Explanation:
If all players play their best responses, then the corresponding strategy profile must be a nash equilibrium.
A. True
B. False
Answers
Answer:
False
Explanation:
Nash Equilibrium is when all players maintain their strategy for the entire game, and thus cannot gain a competitive advantage by changing strategies mid-game. If the question was worded "If all players must play their best responses, then the corresponding strategy profile must be a Nash equilibrium."
sales less sales discounts and also less sales returns and allowances equals: group of answer choices green, green grass of home net purchases cost of goods sold net sales
Answers
net sales.
Net sales refer to the total sales revenue generated by a company after deducting sales discounts and sales returns and allowances.
sales less sales discounts and also less sales returns and allowances equals: group of answer choices green, green grass of home net purchases cost of goods sold net sales
when we deduct sales discounts and sales returns and allowances from the total sales, the resulting figure is referred to as net sales. net sales represent the actual revenue earned by a company from the sale of goods or services after accounting for any discounts given to customers or merchandise returned by them.
net sales is an important metric as it reflects the true value of sales achieved by a business. it is used to calculate various financial ratios and performance indicators, such as gross profit margin, which provides insights into the profitability of the company's core operations.
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Cardinal Company is considering a five-year project that would require a $2,500,000 investment in equipment with a useful life of five years and no salvage value. The companyâs discount rate is 12%.
The project would provide net operating income in each of five years as follows:
Sales $ 2,853,000
Variable expenses 1,200,000
Contribution margin 1,653,000
Fixed expenses:
Advertising, salaries, and other fixed out-of-pocket costs $ 790,000
Depreciation 500,000
Total fixed expenses 1,290,000
Net operating income $ 363,000
Answers
Cardinal Company is considering a five-year project that requires a $2,500,000 investment in equipment and is expected to generate a net operating income of $363,000 per year for five years.
The company will need to evaluate the project based on their 12% discount rate to determine if it is a worthwhile investment.
The project would provide net operating income in each of the five years as follows:
1. Calculate the contribution margin: Sales ($2,853,000) - Variable expenses ($1,200,000) = $1,653,000
2. Calculate total fixed expenses: Advertising, salaries, and other fixed out-of-pocket costs ($790,000) + Depreciation ($500,000) = $1,290,000
3. Calculate net operating income: Contribution margin ($1,653,000) - Total fixed expenses ($1,290,000) = $363,000
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Use the Strategic Analysis: Arnold Palmer Hospital Strategies Assignment Resources folder. Read articles then Analyze Arnold Palmer Hospital strategies. Suppose Arnold Palmer hospital plans to grow internationally, discuss the business culture, with emphasis on Mexico, Japan, China, and India.
Answers
Before expanding internationally, Arnold Palmer Hospital must analyze the business cultures of Mexico, Japan, China, and India. Each country has distinct cultural characteristics that influence business operations. Mexico values personal relationships, Japan emphasizes loyalty and hierarchy, China focuses on relationships, and India has a hierarchical structure.
Strategies should align with these cultural aspects to ensure successful international expansion.
Arnold Palmer Hospital is a well-known healthcare facility situated in Orlando, Florida. Its mission is to provide patient-focused healthcare services in a caring and comforting environment.
Arnold Palmer hospital has various strategies for growth that include international expansion. In case the hospital chooses to expand internationally, the culture of the countries it intends to operate in must be analyzed first. Business culture is the habits, customs, and social expectations that govern how businesses operate in a given location.
The culture of the host country plays a significant role in how businesses function within the country. The culture will determine the type of strategy the hospital will use when entering the international market. Culture influences the operational, marketing, and human resources strategies that the hospital will use.
Arnold Palmer Hospital should analyze the business culture of Mexico, Japan, China, and India before making any decisions about its international expansion. In Mexico, the business culture is informal, and personal relationships are highly valued.
In Japan, the business culture is formal, and there is a strong emphasis on loyalty and respect for hierarchy.
In China, business culture is relationship-oriented, and personal relationships are critical to the success of business ventures. In India, business culture is hierarchical, and there is a strong emphasis on seniority and authority. The hospital should, therefore, consider developing strategies that align with these cultures.
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Price skimming works best for which type of product?
A. Products that haven't been advertised much
B. Inexpensive products with many competitors
C. Products with elastic demand
D. High-end products with unique features
Please select the best answer from the choices provided
Ο Α
ОВ
Next
Mark this and return
Save and Exit
Submit
Answers
Answer:
d. high-end products with unique features
Explanation:
did the test and got it right on edg2021
Coming into effect in 1994, NAFTA encouraged free trade between the United States and which two other countries? Question 4 options: a) Japan and China b) Canada and Mexico c) Panama and Brazil d) Canada and Cuba
Answers
NAFTA, or the North American Free Trade Agreement, came into effect in 1994 and encouraged free trade between the United States and two other countries B. Canada and Mexico.
NAFTA aimed to promote economic growth by reducing trade barriers and fostering investment between the three member countries. It eliminated most tariffs and other trade restrictions, allowing for the easier flow of goods and services across borders. As a result, businesses and consumers benefited from lower prices, increased trade, and enhanced competitiveness in the global marketplace. The agreement also facilitated cooperation in areas like environmental and labor regulations, setting standards that the member countries agreed to follow.
Overall, NAFTA has played a significant role in shaping the economic landscape of North America, contributing to increased trade and investment between the United States, Canada, and Mexico. Although the agreement has faced criticism for its impact on certain industries and job markets, it has also led to numerous benefits for businesses and consumers in the region. Therefore, the correct option is B.
The question was incomplete, Find the full content below:
Coming into effect in 1994, NAFTA encouraged free trade between the United States and which two other countries? Question 4 options:
a) Japan and China
b) Canada and Mexico
c) Panama and Brazil
d) Canada and Cuba
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If all workers are hired at the same price, the marginal cost of producing each extra unit of output falls provided the ______ of each additional worker is rising.
Answers
When workers are hired at the same price, the MC of producing extra unit of output falls provided the marginal product of each additional worker is rising.
What is a marginal product?For an input, it refers to the extra output that results from addition of one unit of the input to the existing combination of the productive factors.
Hence, whenever the workers are hired at the same price, the MC of producing extra unit of output falls provided the marginal product of each additional worker is rising.
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what do you mean by problem solving skill ?
Answers
Answer:
Explanation:
problem-solving skill is the skill that refers to solving a problem in a situation. For instance, a problem would be a spill, and wiping it with a tissue would be the solution.
Answer:I hope this help I loving helping people good luck itchai72777
Explanation:
Problem-solving skills are the ability to identify problems, brainstorm and analyze answers, and implement the best solutions. An employee with good problem-solving skills is both a self-starter and a collaborative teammate; they are proactive in understanding the root of a problem and work with others to consider a wide range of solutions before deciding how to move forward
Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution. The problem-solving process. Problem solving resources
It is the methods we use to understand what is happening in our environment, identify things we want to change and then figure out the things that need to be done to create the desired outcome. Problem solving is the source of all new inventions, social and cultural evolution, and the basis for market based economies
When listing work experience,class project, special skills in activities on your résumé, what is important to remember?
Answers
Answer: Employers, Role, Responsibility, Where and Dates
Explanation: To make sure you're not lying they would want to look into when and where this happened.
So the easiest way to do that is to include where you were, or were working at. As well as who hired you + What the job's name was. Make sure to always include important details
Answer: You should list the things that are related to the job you are applying for
Explanation: When making your resume for a new job, you should list your experiences, class projects, and or special skills that are related to this job. If you have random things in your resume, they will be less than helpful to getting your new position.
How did the goal described in this excerpt most affect the u. S. Economy?.
Answers
The described goal that most affect the economy according to the excerpt is when Federal Reserve raised interest rates to control inflation.
What was described in the excerpt?The excerpt quoted George Bush speech about the Iraqis and how their relationship with Saddem Hussein will most affect them and their economy.
However, the goal that most affect the economy according to the excerpt is if Federal Reserve raised interest rates to control inflation.
Therefore, the Option A is correct.
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randy and debbie are in charge of training new marketing department employees at company abc. in a training session, debbie comments that price serves as a mechanism to obtain value back from customers. debbie is correct in her assessment.
Answers
A SWOT analysis looks at both internal and external factors that help or hurt your company's operations.The following four categories of factors are the primary focus of this strategy:Strengths: Your business model's best features and most persuasive selling points
The Greek letter epsilon stands for which of the following: profit cost, error elasticity, or
The quantity decrease proportional to a small price increase is known as the elasticity of demand and is typically denoted by the Greek letter epsilon.The elasticity of demand is one minus the percentage change in total revenue caused by a 1% price change.
In-store displays are one of the most prevalent types of trade sales promotion.The fact that it establishes a personal connection with your potential customers makes this the obvious choice for increasing sales.Displays in stores are a great way to promote a product by making it easy for customers to see and buy it.
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The market structure where a firm has a large degree of market power is called. monopoly. In order to maximize profits in the short run, a manager must determine how much output to produce given. only variable inputs within his control.
Answers
The market structure where a firm has a large degree of market power is indeed called a monopoly. A monopoly occurs when a single firm dominates the market, controlling the supply of a product or service and facing no significant competition. As a result, the monopolistic firm has substantial control over price and output levels.
In the short run, a manager in a monopoly must determine how much output to produce given only the variable inputs within his control. Since a monopoly has market power, it can set prices and output levels to maximize its profits. The manager considers the cost of variable inputs, such as labor and raw materials, to determine the optimal level of production that maximizes profits.
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A company has determined their yeariy cost function, in dollars, to be given by \[ C(x)=\frac{1,500 x^{5 / 2}}{6 x^{2}+5 x x^{2}-4} \] When \( x \) pounds of product are made. Find the marginal cost (
Answers
The marginal cost represents the rate of change of the cost function with respect to the quantity of the product.
To find the marginal cost, we need to calculate the derivative of the cost function \( C(x) \) with respect to \( x \), denoted as \( \frac{{dC}}{{dx}} \).
Using the quotient rule and simplifying the expression, we can find the derivative:
\[ \frac{{dC}}{{dx}} = \frac{{\frac{{7,500x^{3/2}(3x^2+2x-4)-(1,500x^{5/2})(12x+5x^2)}}{{(6x^2+5x+4)^2}}}} \]
This represents the marginal cost function. To evaluate the marginal cost at a specific value of \( x \), substitute that value into the derivative expression.
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Dennis has just made the final monthly payment necessary for paying off his car financing. When he purchased the car three years ago, it had a list price of $23,878. Dennis traded in his good-condition 2001 Honda Odyssey and financed the rest of the cost at an interest rate of 11. 82%, compounded monthly. The dealer gave Dennis 85% of the trade-in value of his car, listed below. Dennis was also responsible for paying 9. 05% sales tax, a $1,474 vehicle registration fee, and a $225 documentation fee. All told, how much did Dennis pay in interest? (Round all dollar values to the nearest cent, and consider the trade-in to be a reduction in the amount paid. ) Honda Cars in Good Condition Model/Year 2000 2001 2002 2003 Element $5,887 $6,080 $6,225 $6,622 Odyssey $8,450 $8,693 $8,928 $9,224 Insight $4,384 $4,661 $5,006 $5,440 Accord $6,356 $6,626 $6,817 $7,114 a. $3,919. 77 b. $3,906. 80 c. $4,599. 44 d. $3,668. 52.
Answers
The correct statement is that the payments made towards the interest by Dennis on such amount of principal of the car purchase will be computed as $8392.53.
The calculation of the payment of interest made by Dennis will be computed upon the net principal value of the car and deducting such principal amount from the annuity amount.
Calculation of payment of interest
The formula for the calculation of compounded annuity will be calculated on the total value of the car financed, which is calculated as $19834, and the annuity as per the compound interest formula will be,
\(\rm Compounded\ Annuity= 19834(1+\dfrac{0.1182}{12})^3^x^1^2\\\\\rm Compounded\ Annuity= 19834(1.00985)^3^6\\\\\rm Compounded\ Annuity= \$28226\)
Now the payment of interest will be as,
\(\rm Compound\ Interest= Annuity- Principal\\\\\rm Compound\ Interest=28226-19834\\\\\rm Compound\ Interest=\$8392.53\)
So, the amount of interest paid is $8392.53.
Hence, the correct statement is that the payments made towards the interest by Dennis on such amount of principal of the car purchase will be computed as $8392.53.
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Answer:
✅ A. $3,919.77
its right ⬇️
When a company maintains its price but removes or prices separately one or more elements that were part of the former offer, such as free delivery or installation, it is known as ________. A. escalating B. differentiation C. reverse discounting D. delayed quotation pricing E. unbundling
Answers
The name which is given to the process when a company maintains its price but removes or prices separately is known as E. unbundling
What is Price?This refers to the attached value which is given to a good or service that is exchanged for that particular value.
Hence, we can see that when a company removes freebies such as free delivery or installation but maintains its price is known as unbundling and is a market activity.
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difference between money and bitcoin
Answers
Answer:
control
Explanation:
The main difference of Bitcoin from traditional currencies lies in the fact that no one controls Bitcoin as it is decentralized. It allows Bitcoin to be an independent peer-to-peer money system that can function regardless of anyone's wishes.
Bitcoin is a type of cryptocurrency, a digital currency. It is a virtual form of money and can be used to buy things. You can also transfer it from the bank. Bitcoin is related to currency, but it is not money.
Money is a currency that you keep in your wallet. Money is touchable as it can be held in your hands, unlike Bitcoin.
Money is a currency that you hold or keep with yourself. But Bitcoin is like a digital currency you cannot hold it. You can only store it on a computer.
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A good credit-management strategy can be demonstrated by:
A. applying for a payday loan to finance an expensive vacation.
B. applying for several credit cards from banks and stores.
C. paying only the minimum monthly payment due on credit cards
each month.
D. paying the full balance on the statement by the due date each
month.
Answers
Answer:
C
Explanation:
Credit management is actually the process of granting credit to customers, while setting payment terms and conditions to enable them to pay their bills on time and in full and ensuring customers (and employees) comply with your company's credit policy.
From the above definition, we can see that a good credit management strategy can be managed when the customer pay minimum monthly payment due on credit cards each month without defaulting.
Answer:it’s D
Explanation:
is there a relationship between productivity and months of service? draw the type of graph that can be used to analyze this problem.
Answers
There could potentially be a relationship between productivity and months of service.
It is possible that there is a relationship between productivity and months of service. As employees gain more experience and become more familiar with their job duties, they may become more efficient and productive. On the other hand, there may be a plateau where productivity levels off after a certain amount of time on the job.
To analyze this relationship, a scatter plot can be used. The horizontal axis would represent months of service and the vertical axis would represent productivity. Each employee's data point would be plotted on the graph, with their months of service on the x-axis and their productivity score on the y-axis.
If there is a positive relationship between productivity and months of service, the data points would form an upward-sloping line. If there is a negative relationship, the line would slope downwards. If there is no relationship, the data points would be scattered randomly across the graph.
Once the graph is plotted, additional analysis can be performed to determine the strength and direction of the relationship, such as calculating the correlation coefficient. This information can be useful for decision-making related to employee training and development, performance evaluations, and staffing decisions.
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Which states the main difference between a monopoly and an oligopoly?
a. Oligopolies have a few large corporations that are part of the market.
b. Oligopolies have a lot of competition between companies.
c. Monopolies involve a much higher level of competition than oligopolies.
d. Monopolies have many corporations as part of the market.
Answers
Answer:
a
Explanation:
a. oligopolies have a few large corporations that are part of the market
Drag the tiles to the boxes to form correct pairs.
Match the different. brainstorming techniques to their applications
Answers
Note that the Brainstorming Techniques matched to one another are given as follows:
Clustering - connecting ideas for a topic using different shapes and color-coding to identify how the ideas are relatedThree perspectives - describing the topic, tracing its history, and examining its connections with related topicsFreewriting - writing down first thoughts on a topic in a timed session. without pausing to check for relevance or grammarWhat are brainstorming techniques?The most essential thing to remember with any approach of brainstorming is to prioritize quantity above quality. Accepting all ideas, no matter how ridiculous or unimportant they may appear, aids brainstorming.
The aim is to establish a large enough pool of ideas from which to draw or combine ideas for the best solution or approach.
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.The theory of public choice suggests that
government agencies tend to be inefficient because they are subject to institutional arrangements in which managers do not have an incentive to be efficient.
the goods provided by government, whether public or private goods, are not scarce.
government agencies tend to be inefficient because the people running them do not understand the concept of opportunity cost.
you can lower your tax bill if you are careful not to consume too many government resources, regardless of what your neighbors do.
Answers
The theory of public choice suggests that government agencies tend to be inefficient because they are subject to institutional arrangements in which managers do not have an incentive to be efficient.
The theory of public choice examines how individuals' self-interest and incentives affect their decision-making within the realm of public or government organizations. According to this theory, government agencies may be prone to inefficiencies because of the institutional arrangements in which managers operate. Unlike in market-driven organizations where competition and profit motives provide incentives for efficiency, government agencies often lack similar market pressures. As a result, managers within these agencies may not have strong incentives to maximize efficiency or minimize costs.
Option A accurately reflects the premise of the theory of public choice by highlighting the role of institutional arrangements and the lack of incentives for efficiency in government agencies.
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interview any business owner on impact of crime
Answers
Answer:
Businesses that had been affected by crime were found to be 17 to 22 percent less likely to increase employment. Almost half the businesses said that fear of crime among their clients or customers had had a negative impact on their businesses. This figure was particularly high in townships and inner city locations.
Explanation:
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Which of the following is a measure of recovery when a quasi-contract is involved?
A. The amount set forth in the contract.
B. The fair market value of the matter involved.
C. The wholesale price of any good involved.
D. In situations in which the court imposes a quasi-contract, the amount awarded will probably be based on fair market value.
Answers
Answer:
D. In situations in which the court imposes a quasi-contract, the amount awarded will probably be based on fair market value.
Explanation:
When a quasi-contract is involved, the measure of recovery is typically based on the fair market value of the matter involved.
A quasi-contract, also known as an implied-in-law contract, is a legal remedy used by courts to prevent unjust enrichment.
It applies in situations where no formal contract exists, but one party has received a benefit at the expense of another.
The purpose of a quasi-contract is to restore the injured party to the position they would have been in if the quasi-contract had not arisen.
In these cases, the court aims to provide a remedy that is fair and equitable, which is why the amount awarded is generally based on the fair market value of the benefit received.
This ensures that the injured party is appropriately compensated and prevents unjust enrichment on the part of the party who received the benefit.
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Frank borrowed $25,000 for a period of 4 years. His interest rate is 3%. How much interest will Frank pay in all?
Answers
Frank will pay the total amount of $28,000 with an interest of $3000.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.
We have been given data as:
Principal (P) = $25,000
Rate of Interest (R) = 3%
Time (T) = 4 years
⇒ Simple interest = P × R × T
Substitute the value of P, R, and T in the above formula,
⇒ Simple interest = 25,000 × 3% × 4
⇒ Simple interest = 25,000 × 3/100 × 4
⇒ Simple interest = 25,000 × 0.03 × 4
Apply the multiplication operation, and we get
⇒ Simple interest = $3000
Total payback amount = $25,000 + $3000 = $28,000
Therefore, he will pay the total amount of $28,000 with an interest of $3000.
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hi i need help plz its
Answers
Which of the following techniques helps a company learn more about its target market?
1. Market research
2. Publicity
3. Personal selling
4. Market segmentation
Answers
Answer:
Market research
Explanation:
Saving is the portion of:_________
a. disposable income that is not consumed.
b. stock of consumption.
c. investment that is spent on machinery.
d. disposable income that is consumed.
Answers
Saving is the portion of DISPOSABLE INCOME THAT IS NOT CONSUMED.
The answer is "a. disposable income that is not consumed" since we, as consumers, keep a portion or percentage of our additional income for saving. The money that is not used is considered disposable income.
You might not realize it, but the economy as a whole is significantly impacted by our decisions to keep a portion of our disposable income that is not consumed or to spend money.
Marginal propensity to save and consume has an impact on expenditures and tax multipliers. Both of these marginal propensities are ultimately used to discuss how a household ends up making use of its extra money, whether it is saved or expended.
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[Quality of Services Marketing]
1. Which of the following is an example of a B2B internet service? [Answer: Tech Support]
2. Many companies have sophisticated tracking software [Answer: Critical incident technique]
3. Which of the following is not a characteristic of a service? [Answer: Reliability]
4. What is the encounter between service-consumer that occurs during delivery of the service is known as? [Answer: Experince qualities]
5. Your local credit union offers a variety of services to its members [Answer: Fresh-baked cookies and gourmet cookies]
6. The measure of the difference between a customer's expectation [Answer: Gap analysis]
7. Shepherd University is launching new services to attract more students [Answer: Bachelor's degrees]
8. A large store that sells groceries also has a large pharmaceuticals section with a 24-hour pharmacy. [Answer: Offering free coffee tastings]
9. John always takes his car to the same place for an oil change. [Answer: Augmented]
10. Which of the following is not a service of quality attribute? [Answer: Response qualities]
- You can thank me by thanking my previous answers, would be very appreciated -
Answers
All of your answers are correct.
The questions given and their appropriate responses can be seen below:
1. Tech Support is an example of a B2B internet service.
2. Many companies have sophisticated tracking software - Critical incident technique.
3. Reliability is not a characteristic of a service.
4. Experience qualities is the encounter between service-consumer that occurs during delivery of the service
5. Your local credit union offers a variety of services to its members such as Fresh-baked cookies and gourmet cookies.
6. Gap analysis is the measure of the difference between a customer's expectation.
7. Shepherd University is launching new services such as Bachelor's degrees to attract more students.
8. Offering free coffee tastings is a large store that sells groceries also has a large pharmaceuticals section with a 24-hour pharmacy.
9. John always takes his car to the same place for an oil change - Augmented
10. Response qualities is not a service of quality attribute.
What is Service marketing?This is defined as the marketing that businesses that provide a service to their customers use to increase brand awareness and sales.
The answers to the questions given can be seen appropriately given above.
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