Suppose in the market for widgets, market demand is given by Qd=5000-200P and market supply is given by QS=100P-1000
With no tax, what is the market equilibrium price and quantity?
Now suppose the government imposes an excise tax of $5 per unit collected from the sellers. What will the new equilibrium quantity be? What price will the buyer pay? What price will the seller retain after submitting the tax revenue?
Compute the following: (Hint: It may be helpful to draw a graph).
Consumer surplus before the tax
Producer surplus before the tax
Consumer surplus after the tax
Producer surplus after the tax
Government tax revenue
Deadweight loss of the tax
Who bears the greater burden of the tax, consumers or producers? What does this tell you about the relative elasticities of supply and demand?
Is the benefit to the government from imposing this tax greater than the loss of welfare to society? Explain.

Answers

Answer 1

Market equilibrium price and quantity without tax: $20 per widget, 1000 widgets. With a $5 excise tax: New equilibrium quantity is 1004 widgets, buyer pays $19.98, seller retains $14.98, and tax revenue is $5,020.16.

Market equilibrium occurs when the quantity demanded (Qd) equals the quantity supplied (QS). To find the equilibrium price and quantity, we set Qd equal to QS and solve for P:

Qd = QS

5000 - 200P = 100P - 1000

Adding 200P to both sides and adding 1000 to both sides:

200P + 100P = 5000 + 1000

300P = 6000

P = 20

Substituting the equilibrium price (P = 20) into the demand or supply equation gives us the equilibrium quantity:

Qd = 5000 - 200P

Qd = 5000 - 200(20)

Qd = 5000 - 4000

Qd = 1000

Therefore, the market equilibrium price is $20 per widget, and the equilibrium quantity is 1000 widgets.

Now, with the imposition of an excise tax of $5 per unit, the supply curve shifts upward by the amount of the tax. The new supply equation becomes:

QS = 100P - 1000 + 5

QS = 100P - 995

To find the new equilibrium quantity, we again set Qd equal to QS:

Qd = QS

5000 - 200P = 100P - 995

Adding 200P to both sides and adding 995 to both sides:

300P = 5995

P = 19.98 (rounded to 2 decimal places)

Substituting P = 19.98 into either the demand or supply equation gives us the new equilibrium quantity:

Qd = 5000 - 200P

Qd = 5000 - 200(19.98)

Qd = 5000 - 3996

Qd = 1004

Therefore, the new equilibrium quantity is 1004 widgets. The price paid by the buyer (including the tax) is $19.98 per widget, and the price retained by the seller after submitting the tax revenue is $19.98 - $5 = $14.98 per widget.

To compute the different surpluses and tax revenue, we need to calculate the areas on the supply and demand curve:

1. Consumer surplus before the tax:

Consumer Surplus = 0.5 * (Qd - 0) * (P before tax - 0) = 0.5 * 1000 * (20 - 0) = $10,000

2. Producer surplus before the tax:

Producer Surplus = 0.5 * (Q before tax - 0) * (P before tax - 0) = 0.5 * 1000 * (20 - 0) = $10,000

3. Consumer surplus after the tax:

Consumer Surplus = 0.5 * (Q after tax - 0) * (P after tax - P before tax) = 0.5 * 1004 * (19.98 - 20) = $0

4. Producer surplus after the tax:

Producer Surplus = 0.5 * (Q after tax - 0) * (P after tax - 0) = 0.5 * 1004 * (14.98 - 0) = $7,515.96

5. Government tax revenue:

Tax Revenue = (P after tax - P before tax) * Q after tax = ($19.98 - $14.98) * 1004 = $5,020.16

6. Deadweight loss of the tax:

Deadweight Loss = 0.5 * (Q before tax - Q after tax) * (P

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Related Questions

Clearly answer the following questions. Explain your answers in detail.
a) How does forecasting lead to an increase in profit of an organization? Explain your answer by giving an example.
b) State three advantages of forecasting within an organization.
c) What are the tactics for Matching Capacity to Demand when capacity exceeds demand?
Notes about the assessment:
• Your paragraphs should be well organized with appropriate format and relevant content.
• Plagiarism is not allowed (You need to paraphrase the content from your sources)
• Please do not Copy and Paste from any sources You should answer in your own words.

Answers

a) Forecasting leads to an increase in profit of an organization in various ways. For instance, forecasting helps businesses to prepare for future needs and potential opportunities. In this regard, the organizations can allocate their resources such as labor, raw materials, and capital effectively. This, in turn, reduces wastage, increases efficiency, and lowers the costs of production.

Example: Suppose the forecast shows that demand for product X will increase in the coming year. The organization can then decide to increase production to meet the anticipated demand. This may lead to an increase in the organization's sales revenue, consequently leading to an increase in profit.

b) The advantages of forecasting within an organization include:

Better planningRisk managementImproved decision making

c) There are various tactics for matching capacity to demand when capacity exceeds demand. They include:

Increase marketing effortsDiversify product or service offeringsAdjust pricing

Forecasting leads to an increase in profit of an organization as it helps the organization to prepare for the future and make informed decisions. It enables organizations to plan ahead and avoid unnecessary costs, thereby increasing profits. For example, a manufacturing company can use forecasting to predict the demand for its products in the future and plan its production accordingly. This helps the company to avoid overproduction or underproduction, reduce wastage, and save on costs, leading to increased profits.

The three advantages of forecasting within an organization are:

Better planning: Forecasting helps organizations to plan better by providing them with insights into the future. This enables organizations to allocate resources efficiently and make informed decisions that help them achieve their goals.Risk management: Forecasting helps organizations to manage risks by identifying potential risks and taking proactive measures to mitigate them. This reduces the impact of risks on the organization and helps them to stay competitive in the market.Improved decision making: Forecasting provides organizations with accurate information about the future, which enables them to make informed decisions. This reduces the likelihood of making wrong decisions, thereby increasing the chances of success.

The tactics for matching capacity to demand when capacity exceeds demand are:

Increase marketing efforts: Organizations can increase their marketing efforts to attract more customers and increase demand for their products or services. This can be done by offering discounts, promotions, or improving the quality of their products or services.Diversify product or service offerings: Organizations can diversify their product or service offerings to attract a wider customer base and increase demand. This can be done by introducing new products or services that cater to different market segments.Adjust pricing: Organizations can adjust their pricing strategy to match demand by reducing prices during periods of low demand to attract more customers and increase sales. Conversely, they can increase prices during periods of high demand to maximize profits.

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Defend the following statement" The Ministry of Health and Social Services has implemented various strategies to combat STI, HIV and AIDS. Explain 5 Strategies implemented to combat STI, HIV and AIDS in Namibia. (10)

Answers

The statement that says "The Ministry of Health and Social Services has implemented various strategies to combat STI, HIV and AIDS" is true. The Namibian government has implemented several strategies to combat STIs, HIV, and AIDS.

Here are 5 strategies that have been implemented to combat STI, HIV, and AIDS in Namibia:

1. HIV testing and counselling (HTC): The Namibian government has launched an HIV Testing and Counselling program that provides free testing to all Namibians. People who test positive for HIV are linked to care and support services, including antiretroviral therapy (ART).

2. HIV Prevention Programs: The Namibian government has implemented HIV prevention programs aimed at reducing the spread of HIV in the country. Programs include the provision of male and female condoms, HIV education, and behaviour change programs, and peer education initiatives.

3. Prevention of Mother to Child Transmission (PMTCT) Programs: The Namibian government has implemented PMTCT programs aimed at reducing the transmission of HIV from mother to child. The programs include the provision of antiretroviral treatment to pregnant women living with HIV, infant feeding counseling, and support services.

4. Treatment and Care Services: The Namibian government provides treatment and care services to people living with HIV and AIDS. The services include antiretroviral therapy (ART), tuberculosis (TB) screening and treatment, and other health services aimed at improving the health and wellbeing of people living with HIV and AIDS.

5. Social and Behavioural Change Communication (SBCC): The Namibian government has implemented SBCC programs aimed at promoting positive social and behavioural change towards HIV prevention and care. Programs include the provision of HIV education, behaviour change communication, and peer education initiatives.

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Blue Design Works generated $521,520 in operating income on sales revenue of $3,259,500. The company had $2,300,000 in assets on January 1 and $3,000,000 in assets on December 31.
(a-b)
(a) Calculate Blue’s margin.
(b) Calculate Blue’s asset turnover. (Round answer to 2 decimal places, e.g. 0.65.)
Calculate Blue’s return on investment. (Round answer to 2 decimal places, e.g. 5.12%.)

Answers

Blue Design Works has a margin of approximately 15.99%, indicating its profitability relative to sales. The company's asset turnover is around 1.23, suggesting its efficiency in generating sales from its average assets. This results in a return on investment (ROI) of approximately 19.67%.

(a) To calculate Blue's margin, we divide the operating income by the sales revenue and express it as a percentage:

Margin = (Operating Income / Sales Revenue) * 100

Margin = ($521,520 / $3,259,500) * 100

Margin ≈ 15.99%

(b) To calculate Blue's asset turnover, we divide the sales revenue by the average assets:

Asset Turnover = Sales Revenue / Average Assets

Average Assets = (Beginning Assets + Ending Assets) / 2

Average Assets = ($2,300,000 + $3,000,000) / 2

Average Assets = $2,650,000

Asset Turnover = $3,259,500 / $2,650,000

Asset Turnover ≈ 1.23

(c) To calculate Blue's return on investment (ROI), we multiply the margin by the asset turnover:

ROI = Margin * Asset Turnover

ROI ≈ 15.99% * 1.23

ROI ≈ 19.67%

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A permanent negative productivity shock (e.g. a new government regulation) will result in
an increase in user cost and decrease in the desired level of capital. no change in user cost and decrease in the desired level of capital. a decrease in user cost and the desired level of capital. an increase in user cost and the desired level of capital.

Answers

A permanent negative productivity shock (e.g., a new government regulation) will result in an increase in user cost and a decrease in the desired level of capital.

A permanent negative productivity shock, such as the implementation of a new government regulation, will lead to an increase in user cost and a decrease in the desired level of capital. When a negative shock occurs, it negatively impacts the productivity and profitability of capital investments. As a result, the user cost of capital, which includes factors like depreciation and the opportunity cost of using capital, increases. This higher user cost reduces the attractiveness of investing in capital goods. In response to the reduced profitability and increased costs associated with capital, businesses and investors are likely to decrease their desired level of capital investment. This decrease reflects a lower willingness to undertake new investments or expand existing capital stock, as the negative shock affects the expected returns and feasibility of such investments. Overall, the negative productivity shock influences both the cost and desired level of capital in an economy.

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You currently have $39,471 in an account that pays 5 percent interest. You plan to deposit in this account $3581 at the end of each year until the account reaches $124578. How long would that take? Enter your answer in 4 decimals (e.g. 5.1234).

Answers

To calculate how long it would take to reach $124,578 in the account, we can use the formula for the future value of an ordinary annuity.

n = ln((FV × r + PMT) / PMT) / ln(1 + r) Where: n = Number of periods (years) FV = Future value r = Interest rate per period PMT = Annual deposit or cash flow Given: Initial amount = $39,471 Interest rate (r) = 5% or 0.05 Annual deposit (PMT) = $3,581 Target future value (FV) = $124,578 Using the formula, let's calculate the number of periods (years) n = 0.5525 / 0.0488 n ≈ 11.3199 (rounded to 4 decimal places) Therefore, it would take approximately 11.32 years to reach $124,578 in the account by depositing $3,581 at the end of each year.

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Explain why an organization may wish to set up an independent contractor relationship. What are the factors that courts look at in ascertaining whether a situation is an employment relationship or an independent contractor relationship?

Answers

Organizations choose independent contractor relationships for flexibility, cost-effectiveness, expertise, and risk mitigation. Courts consider factors like control, integration, finances, independence, and contracts to determine the nature of the relationship.

An organization may choose to establish an independent contractor relationship for various reasons. One primary motive is the flexibility it provides. By engaging independent contractors, organizations can access specific skills and resources on a project basis without the long-term commitment associated with permanent employees. This allows them to scale their workforce as needed and bring in specialized expertise when required.

Additionally, independent contractors often assume responsibility for their own taxes, benefits, and equipment, resulting in potential cost savings for the organization.

Courts consider several factors to determine whether a situation qualifies as an employment or independent contractor relationship. These factors can vary depending on the jurisdiction, but common considerations include the level of control exerted by the organization, the integration of the contractor's work into the organization's operations, the financial relationship between the parties, the degree of independence enjoyed by the contractor, and the intentions and contractual arrangements of both parties.

Courts analyze these factors holistically to determine the true nature of the relationship and whether the worker should be classified as an employee or independent contractor.

It is crucial for organizations to carefully assess these factors to ensure compliance with employment laws and avoid misclassification issues. Misclassifying workers can lead to legal and financial consequences, such as penalties, back payment of benefits, and potential lawsuits. Therefore, organizations should seek legal guidance and review their relationships with workers to accurately classify them and mitigate the risk of misclassification.

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According to the factor price equalization theorem, the ________ factor should support free trade policies in any given country.
a.
abundant
b.
scarce
c.
neither
d.
more information is necessary to answer this question.

Answers

The correct answer is a. abundant.

According to the factor price equalization theorem, the abundant factor of production should support free trade policies in any given country. This theorem suggests that under conditions of free trade, factors of production such as labor and capital tend to equalize in terms of their returns or prices across countries. When a country has an abundant factor of production, it means that it has a relatively larger or more readily available supply of that factor compared to other countries. With free trade, the country can export goods or services that make intensive use of its abundant factor and import goods or services that make intensive use of factors that are relatively scarce.

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Q.3. As an aggrieved resort owner (Starline Resort Pvt. Ltd.), write a claim letter to the wholesale supplier (Luxury Living Solutions Pvt. Ltd.) claiming that the 100 pool-side chairs you had purchased for your resort have all developed large cracks. As a result of this, you are unable to offer the relaxation facilities by the various pools in your resort. This is seriously compromising your good name among the established clientele who patronize your resort. You should write a "claims letter" by using the principles, format, and style of effective "claims letter" writing. [15]

Answers

I am writing to bring to your attention a significant issue with the pool-side chairs that we purchased from Luxury Living Solutions Pvt. Ltd. for our esteemed Starline Resort Pvt. Ltd.

Unfortunately, we have encountered a serious problem as all 100 chairs have developed large cracks, rendering them unusable and compromising our ability to provide relaxation facilities to our valued guests. The defective chairs have had a detrimental impact on the reputation of our resort, as we are known for offering exceptional comfort and luxury to our clientele. Due to the inability to offer relaxation facilities by the various pools, our guests have been inconvenienced, and our good name among our established clientele is being seriously compromised.

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The function of demand and supply are as follows: Demand = 2200-200P Supply = 800+ 500P where P is price. Calculate the equilibrium price and the equilibrium quantity. (8)

Answers

The equilibrium price is 2 and the equilibrium quantity is 1800 units.

To calculate the equilibrium price and quantity, we need to set the demand and supply functions equal to each other and solve for the price. In this case, the demand function is given as Demand = 2200 - 200P, and the supply function is Supply = 800 + 500P. By equating the two functions, we can find the equilibrium price and quantity in the market.

To find the equilibrium price and quantity, we set the demand function equal to the supply function:

2200 - 200P = 800 + 500P

Simplifying the equation:

-200P - 500P = 800 - 2200

-700P = -1400

P = -1400 / -700

P = 2

Now that we have the equilibrium price, we can substitute it back into either the demand or supply function to find the equilibrium quantity.

Let's use the demand function:

Q = 2200 - 200P

Q = 2200 - 200(2)

Q = 2200 - 400

Q = 1800

Therefore, the equilibrium price is 2 and the equilibrium quantity is 1800 units. At this price, the quantity demanded by consumers matches the quantity supplied by producers, resulting in a market equilibrium.

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