a)A rational firm operating in a perfectly competitive market has its demand and total cost function given below.
TR=20Q-30Q2
TC=50+25Q-40Q2
Required
i) Average fixed cost function
ii) Average variable cost function
iii) Marginal cost function
iv) Profit maximizing level of output
v) Maximum Profit

Answers

Answer 1

The average fixed cost function will be 50/Q.

How to calculate the cost?

From the information given,

TR = 20Q - 30Q²

TC = 50 + 25Q - 40Q²

The average fixed cost will be:

= Fixed cost/Quantity

= 50/Q

The average variable cost will be:

= VC/Q

= (25Q - 40Q²)/Q

= 25 - 40Q

The marginal cost function will be:

TC = 50 + 25Q - 40Q²

We'll differentiate it. This will be:

MC = 25 - 80Q

The profit maximizing level of output will be:

MR = MC

20 - 60Q = 25 - 80Q

-60Q + 80Q = 25 - 20

20Q = 5

Q = 5/20 = 0.25

The profit will be:

= TR - TC

= 20Q - 30Q² - (50 + 25Q - 40Q²)

= [(20 × 0.25 - (30 × 0.25²)] - [(50 + (25 × 0.25) - (40 × 0.25²)

= [5 - 1.875] - [50 + 6.25 - 2.5]

= 3.125 - 53.75

= -50.625

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Related Questions

If a bond is trading at a premium, what is the relationship between the bond's coupon rate, current yield and yield to maturity?

Answers

When a bond is trading at a premium, then the coupon rate is higher than the current yield and the yield to maturity.

How does a bond trade at premium?

For a bond to trade at premium, the coupon rate would have to be higher than the yield to maturity and the current yield.

Such a bond would trade at premium because the present value of the bond would be more than the par value thanks to the coupon being larger than the discount rate which is the yield to maturity.

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Vaughn Manufacturing began the year with retained earnings of $114000. During 2022, the company issued $84500 of common stock for cash. The company recorded revenues of $735000, expenses of $647000, and paid dividends of $36000. What was Vaughn's net income for the year 2022?

$136500

$172500

$88000

$52000

Answers

The net income for the year 2022 is: c. $88,000.

Net income for the year 2022

Using this formula

Net income=Revenues - Expenses

Let plug in the formula

Net income=$735,000-$647,000

Net income=$88,000

Therefore the correct option is c.

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Which of the following is NOT a reason why strategy matters to businesses?
Strategy defines a company’s current and future goals and objectives
Tying financial models to strategies of a business helps generate more insightful analyses
Understanding a company’s strategies allows financial analysts to make reasonable assumptions in performing forecasting
Having a strategic plan helps reduce uncertainty about the future and prepare to explore new opportunities

Answers

A, strategy does not define those

There are other reasons that strategy matters in business, but tying financial models to business strategies does not help to generate more insightful analyses. Option B is correct.

Why the strategies are important for the business?

Strategy assistance us in shaping our business by furnishing it with a set of values and a sense of purpose. It enables us to comprehend what success entails.

A company's strategy defines its underway and upcoming ends. It is used in to enables financial analysts to make common, sensible forecasting assumptions.

Therefore, option B is correct.

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an example of a disincentive?

Answers

Answer:

Failing to have the incentive you once had; to take the incentive, the stimulus, the spirit from something, from someone or from oneself; discourage, discourage:



"Excessive taxes disincentive trade."

"In the face of so many problems, he became disincentived."

Hope I helped you, good studies!

Merits of suppliers pre qualification

Answers

Answer:

. Digital prequalification process and forms

. Centralized data for easy accessibility and reporting

. Knowing beforehand which suppliers meet your requirements

. Peace of mind the supplier you hire is qualified and safe to perform the work assigned

. Improved workflow

If the government increases the excise tax on a gallon of gasoline we can expect the supply curve to shift rightward, quantity demanded to fall, and price to rise.

Answers

If the government raises the excise tax of the product then supply curve tends to shift leftwards. Therefore, The above statement is false.

What is Supply Curve?

The supply curve refers to the graphical representation of the supply and the prices of the commodity. It tells how the supply of the commodity affects the prices of the product.

The complete question is attached below.

According to the above situation, when government increases the taxes of the gallon of gasoline then the supply curve will shift leftwards as the supply decreases.

It will lead to the increment in the level of the prices as the demand of the product will fall. Therefore, the above statement is false.

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When making sell or process decisions, management should consider: (Check all that apply.)

Multiple select question.

existing sales.


incremental costs of processing further.


revenue from selling as is.


revenue from selling after further processing.


costs already incurred in producing partially completed products.

Answers

When making sell or process decisions, management should consider:

Revenue from selling after further processing Revenue from selling as is.

What is process decisions?

process decisions serves as the decisions that is been made by the management so as to achieve the goal of making more profit.

In this case, When making sell or process decisions, management should consider Revenue from selling after further processing to make decisions.

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Answer:

both revenue options and incremental

Explanation:


Lightfoot Inc., a software development firm, has stock outstanding as follows: 25,000
shares of cumulative preferred 4% stock, $20 par, and 31,000 shares of $100 par
common. During its first four years of operations, the following amounts were
distributed as dividends: first year, $7,500; second year, $12,500; third year,
$68,210; fourth year, $115,790.
Calculate the dividends per share on each class of stock for each of the four years.
Round all answers to two decimal places. If no dividends are paid in a given year,
enter "0".
Preferred stock (dividend per share)
1st year, 2nd year, 3rd year, 4th year

Common stock

1st year, 2nd year, 3rd year, 4th year

Answers

Preferred stock:

Year 1=$0.30

Year 2=$0.50

Year 3=$1.60

Year 4=$0.80

Common stock

Year 1=$0.00

Year 2=$0.00

Year 3=$0.91

Year 4=$3.09

How do we compute dividend per share?

The requirement is to compute dividend per share(total dividends divided by shares outstanding) for both preferred stocks and equity shares.

The cumulative preferred stock means that the future dividends would include dividends unpaid in the earlier years.

Annual dividend for preferred stock=number of shares*par value*dividend rate

number of shares=25,000

par value=$20

dividend rate=4%

annual dividend for preferred stock=25,000*$20*4%

annual dividend for preferred stock=$20,000

In year 1, all of the dividends,$7,500 would be paid to cumulative preferred stockholders, which leaves a balance of $12,500 to be paid in future years

In year 2, the dividend payable to cumulative preferred stocks is the arrears of $12,500 plus the $20,000 for year 2 i.e. $32,500

The fact that only $12,500 was paid means that the unpaid cumulative dividends at the end of year 2 are $20,000( i.e. $32,500-$12,500)

In year 3, the arrears of $20,000 for cumulative preferred stocks and the $20,000 dividends for the current year would be paid together since the amount of dividends declared is $68,210

equity dividends=total dividends-cumulative preferred stocks' dividends

equity dividends=$68,210-$40,000

equity dividends=$28,210

In year 4, out of the dividends of $115,790, only $20,000 is due to preferred stockholders as annual dividends as there are no arrears of dividends

Equity dividends=$115,790-$20,000

equity dividends=$95,790

Note that dividend per share is total dividends divided by shares

Preferred stock:  

Year Total dividends Shares Dividend per share

1              $7,500            25000                 $0.30

2              $12,500            25000              $0.50

3             $40,000           25000               $1.60

4               $20,000           25000          $0.80

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E
Which is considered an administrative penalty that may be imposed by the ABC for violations?
O a. jail time
O b. restitution to victims
O c. imposition of license conditions
O d. community service
NEXT PAGE

Answers

Answer:

c is correct on

Explanation:

Option C.  imposition of license conditions. is considered an administrative penalty that may be imposed by the ABC for violations.

What is an ABC violation?

These are the violations that have to do with the fact that alcohol is sold to people that are considered as minors in the United States.

The violations may carry punishments such as jail time or it may require hours of community service.

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Based on the following information: Rate of Return If State Occurs State of Probability of Economy State of Economy Stock A Stock B Recession .20 .05 − .20 Normal .57 .08 .09 Boom .23 .13 .26 Calculate the expected return for the two stocks. (Do not round intermediate calculations and round your final answers to 2 decimal places. (e.g., 32.16)) Expected return Stock A % Stock B % Calculate the standard deviation for the two stocks. (Do not round intermediate calculations and round your answers to 2 decimal places. (e.g., 32.16)) Standard deviation Stock A % Stock B %

Answers

The expected return for stock A and B is 8.55% and 15.11% respectively.

What is the Expected return?

= (Probability of Recession × Return during recession) + (Probability of normal × Return during normal) + (Probability of boom × Return during boom)

Expected return for stock A:

= (0.20 * .05) + (0.57 * 0.08) + (0.23 * 0.13)

= 0.0855

= 8.55%

Expected return for stock B:

= (0.20 * 0.20) + (0.57 * 0.09) + (0.23 * 0.26)

= 0.1511

= 15.11%

Therefore, the expected return for stock A and B is 8.55% and 15.11% respectively.

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A company's marketing mechanism is deemed successful only if

Answers

It attracts new customers and gets positive response.
Good marketing attracts more customers, more customers means more profit deeming it to be successful.

A company's marketing mechanism is deemed successful only if it attracts new customers and gets positive responses.   An essential component of business operations is marketing research.

It can assist businesses in making decisions on what things to create, how to price their goods, and the best marketing strategies.

However, it can take a lot of time and effort to perform marketing research. A methodical approach to information collection, analysis, and reporting that supports firms in their marketing decisions is known as marketing research.

Identification and comprehension of client requirements and preferences are the goals of marketing research, which enables businesses to develop goods and services that meet those needs and preferences. Typically, marketing research entails surveys, focus groups, interviews, or customer observation.

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Banks that offer low interest rates to people with good credit

maximize profits at little risk.
sacrifice profits for less risk.
maximize profits at great risk.
sacrifice profits for more risk.

Answers

Banks that offer low interest rates to people with good credit :sacrifice profits for less risk.

What is interest rate?

Interest rate can be defined as the rate a bank or a lender add to the money they lend to a borrower.

Banks tend offers low interest rate to customers with good credit tend to sacrifice the profits they are suppose to gain  for less risk because they believe the customers will payback.

Therefore the correct option is B.

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Scenario: Tara complains that she cannot seem to get ahead financially. She believes that all expenses, such as her cell phone bill, car payment, gym membership, and subscriptions to magazines are absolutely necessary. Task: Write a paragraph below, persuading Tara to change her financial approach and explain how to do this. The paragraph should address the importance of sound financial goals, budget, and fixed as well as variable expenses.

Answers

For Tara to make progress financially, she must plan her personal budget, organizing her expenses and identifying her financial goals.

What is the personal budget?

It is a simple and easy-to-do financial planning tool, where the individual organizes their expenses in a spreadsheet for better visualization, forecasting and organization of expenses, allowing planning to achieve financial balance.

Therefore, through the knowledge of your fixed and variable expenses, there is a greater possibility of balance between what you earn and what you spend, for the allocation of resources for short and long-term financial objectives and goals.

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Suppose the unemployment rate was 7.4 percent, far above the full-employment threshold (= 5 percent).
a. How many jobs were lost, as a result, in a labor force of 180 million? $ million
b. If the average worker produces $97,000 of output, how much output will be lost? $ billion
c. By how much did GDP per capita decline as a result (310 million people)? $ per person

Answers

Based on the unemployment rate at the full employment rate and the current unemployment rate, the jobs lost were 4,320,000 jobs.

The output lost by the increase in unemployment is $419.04 billion.

The decline in GDP per capita would be $1,351.74 per capita.

What number of jobs were lost?

This can be found as:

= (7.4% - 5%) x 180,000,000

= 4,320,000 jobs

What amount of output was lost?

= Jobs lost x output per employee

= 4,320,000 x 97,000

= $419,040,000,000

= $419.04 billion

What did the GDP decline by?

= Output lost / Population

= 419,040,000,000 / 310,000,000

= $1,351.74 per capita

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Which of the following parts of the marketing plan details the steps a company will
take to reach the marketing objectives?
O Strategic plan
O Control tools
O Evaluation
O Implementation plan

Answers

The correct option is (d). The implementation plan is the marketing plan that details the steps a company will take to reach the marketing objectives.

Marketing plan:

An overall business plan could include a marketing plan. A well-written marketing plan must have a strong foundation in marketing strategy in order to fulfill its objectives. A marketing plan may include a list of tasks, but without a solid strategic base, it is of little service to a company.

The advertising technique a company will use to market and sell its goods or services is called a marketing plan. The target market, the best way to reach them, the price point at which the good or service should be sold, and the method by which the business will evaluate its performance will all be determined by the marketing plan.

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8. Suppose the total cost function is as follows: TC= x^3/3 -x^2+11x
Where TC = total cost; x = output (in 1,000 units)
What output would make the average total cost a minimum?

Answers

At 1.5 the average total cost is a minimum and the total cost will be 10.25 where the TC = total cost; x = output (in 1,000 units)

What are maxima and minima?

Maxima and minima of a function are the extremes within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a total cost function:

TC = x³/3 - x² + 11x

Average total cost:

[tex]\rm F\left(x\right)=\dfrac{\left(\dfrac{x}{3}^3-\:x^2\:+\:11x\right)}{x}[/tex]

Differentiating with respect to x and equating to x

d(F(x))/dx = 0

We will get:

x = 1.5

F'(1.5) >  0

At 1.5 the average total cost is a minimum.

Thus, at 1.5 the average total cost is a minimum and the total cost will be 10.25 where the TC = total cost; x = output (in 1,000 units)

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Which of the following is NOT a feature in the Formulas menu of the Macabacus Excel add-in? Review Later Summary Statistics Error Wrap Quick CAGR Formula Flow

Answers

The following that is NOT a feature in the Formulas menu of the Macabacus Excel add-in is Formula Flow. This is further explained below.

What is Formula Flow?

Generally, The formula for the volumetric flow rate is as follows: Vf = A*v, where A is the cross-sectional area and v is the flow velocity.

In conclusion, Macabacus is an Excel add-in that has many useful features, but Formula Flow is not one of them.

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You have learned concepts: 1) Histogram, 2) Pareto Analysis, 3) Cause and Effect Diagram and 4) Control Impact Matrix from watching the video. Explain how you can apply concepts 1, 2, 3, and 4 by using a real-world example (it can be a problem that you have, had encountered, or make up a scenario.). Save your work in a pdf file. Click on the assignment link below to upload your work via attachment (zero points for non-pdf file). Assignment worth 20 pt. Due: by the posted deadline per course calendar.

Answers

An example of real-world cases where Histogram,  Pareto Analysis and others  mentioned tools in the question can be used is A Report from Microsoft which states that " that  of 80% Crashes that occurs in Windows  is due to the 0.4 part of the detected bugs in the whole system .

What are the usefulness of the tools like  Histogram,  Pareto Analysis?

Pareto analysis serves as one that stand on the premised  that to achieve the benefit worth 80% of a project, one would need to do at least the 20% of the work.

Histogram on the other hand is a  graphing tool which is s tool like impact matrix and can be used to give the summary of a data.

Hence, with the above tools , some of real word problems can be analyzed.

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A truck driver is hit by a motorist who ran a stop sign and will be in the hospital for several months and does not have any savings or disability benefits. Would you resolve this through a lawsuit, mediation or arbitration? Explain why?

Answers

Gabagu because arbitration loves italics

How do I calculate inflation?

Answers

We can calculate the total inflation rate in an easily understandable manner. The total inflation rate is the total rate of change of the consumer price index (CPI) over a certain given period of time.

What is inflation?

A general increase in the prices of goods and services in an economy can be called Inflation. Whenever the general price level rises, each unit of currency purchases fewer goods and services; simultaneously, inflation accords to a reduction in the purchasing power of money.

The total inflation is calculated using this given formula:

((Target Year – Base Year) ÷ Base Year) x 100

Thus, the Total inflation rate refers to the total rate of change of the consumer price index (CPI) over a certain given period of time.

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Current Attempt in Progress
Marin Company purchased a truck for $74,100. The company expected the truck to last four years or 100,000 miles, with an estimated
residual value of $6,600 at the end of that time. During the second year, the truck was driven 26,000 miles.
Compute the depreciation for the second year under each of the methods below.
Units-of-activity
Double-declining-balance
eTextbook and Media
Save for Later
$
$
Assistance Used
Attempts: 0 of 3 used
Submit Answer

Answers

The depreciation for the second year under Double-declining-balance is:$18,525.

Depreciation

First year

Year 1 depreciation=$74,100×(1/4×2)

Year 1 depreciation= 37,050

Second year

Year 2 depreciation=($74,100-$37,050)×(1/4×2)

Year 2 depreciation=$37,050×(1/4×2)

Year 2 depreciation= $18,525

Therefore the depreciation for the second year under Double-declining-balance is:$18,525.

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Cy Burspace first began working for Epic Electronics in the mid-1970s as a business technology specialist. Today, he is the department head for the company's information systems department. Cy is well known and respected by everyone in the company, and his coworkers recently threw a party to honor his 40th year with Epic. Cy did a lot of reminiscing at the party, telling the newer employees how things were done in the "old days," and comparing them to newer methods. "I'm still amazed at how things have changed. When I first came to Epic, we had a central computer to handle everything. It took up a whole room, but all it really did was generate financial reports for management," said Cy. "Today, employees have their own personal computer, and all are hooked up to a network. All of this connectivity has led to big improvements in our operations. For example, if a production worker wants to find out how many units of a particular component we have in inventory, or wants the name and address of a particular supplier who sells us that component, he or she can get the information in the blink of an eye. In fact, we have even given our suppliers and customers access to our network so that we can share information and provide them with better service. That change has really helped us compete against the bigger firms." "Now," Cy continued, "most of the workers in my department don't even have to be at the office to be connected. We have smartphones and laptops so we can do much of our work from home or while we are on the road." A new employee asked Cy if he was ready to retire. "No way," he said. "I'm in the middle of a major project right now. We're trying to design a single entry point for people to use when logging on to the Epic network. We want to set it up so that the log-on procedure identifies different types of users and automatically gives them access to the types of resources they need. For example, customers who logged on would be allowed to place orders, check on the status of previous orders, and interac

Answers

The set it up  or the access that one can use to be able to know the log-on procedure and  identifies different types of users and also automatically gives them access to the types of resources they need are:

The use of Discretionary Access Control (DAC) Rule-Based Access Control.Identity-Based Access Control.The use of a a Program where all User Accesses the System is only by  an Individual Account:

What is the Access Control Systems  about?

The use of the Discretionary Access Control (DAC) is known to be one that place some measures of control into the business owner's discretion or hand.

So, The set it up  or the access that one can use to be able to know the log-on procedure and  identifies different types of users and also automatically gives them access to the types of resources they need are:

The use of Discretionary Access Control (DAC) Rule-Based Access Control.Identity-Based Access Control.

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You tell Julia you already know a bit about leadership styles, and you think you have traits that will make you a good leader.

More than a particular leadership style, you'd like to consistently demonstrate responsible leadership.


Authentic leader
Servant leader
Ethical leader

Answers

Option B. The type of leadership that you would have to demonstrate would be the servant leadership if you want to show you are a responsible leader.

Who is a servant leader?

This is the type of leader that is very interested in the growth and in the well being of their disciples and that of the community that they find themselves.

This would be the type of leadership that this individual would love to demonstrate.

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Outline one market entry strategy and why it is key for global marketers. Comment on one of your classmate's posts with a thoughtful view.

Answers

One market entry strategy that is a key for global marketers is Direct Exporting.

Why is market entry strategy important?

Market entry strategies is needed by the  global marketers when they are  selling a product in an international market, especially when  planning and maintenance processes is needed.

One of this strategies is Direct exporting which entails the selling directly of products with chosen market with respect to own resources.

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Your analyst team has received a request for system development that focuses on moving the current system into a new operating environment that is more flexible with regard to emerging technologies. What key source of system development requests is likely to have generated this one?
A. Managers and business units
B. Regulatory agencies
C. Formal planning groups
D. Information system managers

Answers

The key source of the development requests likely to be generated to  Information system managers. Therefore the correct option is (D).

What is Information System Management?

The Information system of Management refers to the management of the data, facts, figures or information of the system in the computer by the organizations.

According to the above scenario, The system development team is focusing on the adopting the operating environment system which is adopted by the Information system managers

Therefore the correct option is (D).

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Mr. Fitzgerald is selling his home to permanently move into a retirement facility near his daughter in a neighboring state before the Annual Election Period. He has a stand-alone prescription drug plan and has learned it is not available where he is moving. He doesn’t know what he should do. What can you tell him?

Answers

"Mr. Fitzgerald is selling his home to permanently move into a retirement" He must be automatically dropped from the plan because he is relocating outside of the service region. He will be able to choose a new plan during a special election term. This is further explained below.

What is prescription drug plan?

Generally, Prescription drug plans (PDPs) are another name for Medicare Part D. These policies are available on their own from private insurance providers.

In conclusion, He must be automatically dropped from the plan because he is relocating outside of the service region. He will be able to choose a new plan during a special election term.

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Answer:

Explanation:

Because he is moving outside of the service area, the plan must automatically disenroll him. He will have a special election period to select a new plan.

You purchase a dishwasher for 1261 .60 plus 7% sales tax. The appliance store offers an loan that allows you to pay for the dishwasher by making 12 equal monthly payments of $123.74 What is the cost of credit, in , for this loan? Round your answer to the nearest cent.

Answers

The cost of credit for this loan is $134.97.

What is the cost of credit?

The cost of credit represents the difference between the total payments made and the original mortgage value.

It is also called the finance charge.

Data and Calculations:

Purchase price = $1,261.60

Sales tax = 7% or $88.31 ($1,261.60)

Monthly instalment = $123.74

Payment period = 12 months

Total payment for 12 months = $1,484.88 ($123.74 x 12)

Cost of credit = $134.97 ($1,484.88 - $1,261.60 - $88.31)

Thus, the cost of credit for this loan is $134.97.

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Is operations management relevant to nonbusiness organizations such as colleges and hospitals?

Answers

Yes,  operations management relevant to nonbusiness organizations such as colleges and hospitals.

What is operations management?

Operation management can be defined as the way of managing day to day business activities or operations so as to ensure smooth running.

Operations management is important or relevant to both business organization and  nonbusiness organizations .

Therefore the statement is true.

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Hayek believed that the economy could be hard to measure because

individuals have the power to make decisions and are unpredictable.
individuals have the power to make decisions and are predictable.
government has the power to make decisions and is unpredictable.
government has the power to make decisions and is predictable.

Answers

Answer:

a

Explanation:

Hayek believed that the economy could be hard to measure because individuals have the power to make decisions and are unpredictable. This is also known as the economic calculation problem. Thus, the correct answer is option A.

What did Hayek believe?

In response, Hayek claimed that it was impossible for central planners to determine prices and quantities that would accomplish the market outcome since the required information about preferences and output could not be known in advance and could only emerge via market interaction.

Mises and Hayek contended that economic calculation is only possible with knowledge provided by market pricing, and that bureaucratic or technocratic methods of resource allocation lack mechanisms for rational resource allocation.

Therefore, individuals have the power to make decisions and are unpredictable.

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What phase of the product life cycle is the moisturizing black soap shampoo currently have

Answers

The phase of the product life cycle of the moisturizing black soap shampoo is known as the decline stage.

What is decline stage in product life cycle?

Also called the final stage of the product life cycle is when a product sales are dropping because need have diminished because another product innovation has been introduced.

Therefore, the phase of the product life cycle of the moisturizing black soap shampoo is known as the decline stage.

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While there can be a group of artists that create a script, this is usually accomplished by the ______. Everything else held constant, when output is ________ the natural rate level, wages will begin to ________, increasing short-run aggregate supply. Three ropes A, B and C are tied together in one single knot K. (See figure.)If the tension in rope A is 65.3 N, then what is the tension in rope B? How and why do scientists try to remove bias from their experimentation? 2. What has happened to the rest of the houses in the neighborhood?There will come soft rainsPlease answer what is the probability of hitting a triangle on this dashboard? Vernon Taber deposits $600 into an ordinary annuity after each quarter for 4 years. The account pays 4% interest compounded quarterly. Find the a) future value, and b) total interest earned. The symptom of PTSD that involves reliving a trauma over and over mentally, including the emotional and physiological reactions is How does codominance at the molecular level help to explain why evolutionary processes haven't resulted in the elimination of the sickle-cell allele among people of African descent Question 2 of 10If a basketball player missed 53 free throws out of 100, what fraction andwhat percentage of free throws did the player make? Choose two answers. A convenience store recently started to carry a new brand of soft drink. Management is interested in estimating future sales volume to determine whether it shouldcontinue to carry the new brand or replace it with another brand. The following table provides the number of cans sold per week. Use both the trend projection withregression and the exponential smoothing (let a=0.4 with an initial forecast for week 1 of 574) methods to forecast demand for week 13. Compare these methods byusing the mean absolute deviation and mean absolute percent error performance criteria. Does your analysis suggest that sales are trending and if so, by how much?25Period 13 4574 635 652 739 679Saleswith regression forecast.(Enter your response rounded to the nearest whole number.)(1) Obtain the trend projectionThe forecast for week 13 is6637772386919773107181165612729 The audit committee is required by U.S. law to be: The table shows the information about the length of time, in minutes, it took students to do their maths homework.Draw a histogram. Lindsay is planning a flight from St. Catherines to Hamilton, which lies due west of St. Catharines.Her aircraft flies at a speed of 200 km/h in still air. A wind of 50.0 km/h is blowing from [W 60.0 N].In what direction must she aim the aeroplane to fly directly to Hamilton? (KU, TI) In modern times, people have lots of different opinions about who or what determines our lives. Many people have faith that a divine being is in control of our lives, and that we are just moving along a course that's been determined for us from birth. In that sense, we may feel as though we make our own choices, but in fact, that higher power is directing our choices. Create ONE post that answers the following prompt. According to modern people, who or what determines the outcome of people's lives? Is that similar to or different from what the ancient Greeks thought? Do you believe in fate? Why or why not? Review the debate between former presidents, Jimmy Carter and Ronald Reagan. In a three paragraph essay of (4-5sentences each), write an evaluation with evidence to support which candidate proposed a more compelling argument aboutinflation.kSupport your claim with specific data presented by each of the candidates. Be sure to mention a minimum ocounterpoint, and refute this point with evidence. A compound was decomposed and determined to be 51.27 % C, 7.75 % H and 40.98 % O by mass. What is the subscript for H in the empirical formula for this compound? 1. A scene that does not build to the climactic moment you expected is called a(n). Jury isselectedProsecutionand defensepresentevidence attrial?Which phrase best completes the diagram of the trial process?Defendant issentencedA. Jury deliberates and reaches a verdictB. Defendant is required to pay a large fineC. Prosecution gathers additional evidence against defendantD. Judge decides whether a case will be criminal or civil Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments A F, B D, and C E. The length of line segment A G is 19 x + 14 and the length of line segment D G is 9 x + 2.G is the centroid of triangle ABC.What is the length of GF?units