How To Calculate Optimal Production Subsidy? (Perfect answer)

How can the government offer subsidies to increase consumption and production?

  • To increase consumption and production, the government can offer a subsidy to reduce the price and increase quantity. The supply curve shifts to S2 and price falls from P1 to P2

How are subsidies calculated?

If the government provides a subsidy of S on each unit bought and sold, the total cost of the subsidy is equal to S times the equilibrium quantity in the market when the subsidy is put in place, as given by this equation.

How is world price calculated?

Once a country opens up to trade, the price of an item becomes the world price. The world price is determined by world supply and demand. For an import good, the price falls to the world price, making consumers better off. Domestic producers are worse off because the lower price leans less profits.

How do you calculate increase in producer revenue after subsidy?

The producers’ income after the subsidy is P*Q = 140 * 5000 = 700,000 Noms. The change in total revenue = New total revenue – initial total income = 700,000 – 560,000 = 140,000 or an increase of 140,000 Noms. The subsidy per unit is 90 Noms. In the post-tax equilibrium, the quantity consumed is 5,000.

What is a production subsidy?

A production subsidy encourages suppliers to increase the output of a particular product by partially offsetting the production costs or losses. The objective of production subsidies is to expand production of a particular product more so that the market would promote but without raising the final price to consumers.

What is a subsidy example?

Examples of Subsidies. Subsidies are a payment from government to private entities, usually to ensure firms stay in business and protect jobs. Examples include agriculture, electric cars, green energy, oil and gas, green energy, transport, and welfare payments.

How does subsidy reduce cost of production?

When government subsidies are implemented to the supplier, an industry is able to allow its producers to produce more goods and services. This increases the overall supply of that good or service, which increases the quantity demanded of that good or service and lowers the overall price of the good or service.

How do you calculate government revenue?

Government revenue is given by tax times the quantity transacted in the market so $4 x 12 = $48. 4. Deadweight loss is calculated from ½ x $4 x (15 – 12) = $6, of which $4.5 is from consumer’s under-consumption, and $1.5 is from producer’s under-production. 5.

What is a per unit subsidy?

A unit subsidy is a specific sum per unit produced which is given to the producer. The effect of a specific per unit subsidy is to shift the supply curve vertically downwards by the amount of the subsidy. Depending on elasticity of demand, the effect is to reduce price and increase output.

How do you calculate producer surplus?

On an individual business level, producer surplus can be calculated using the formula: Producer surplus = total revenue – total cost.

How does a subsidy affect producer surplus?

A subsidy increases both consumer and producer surplus. A subsidy reduces the price that consumers have to pay for the product. Due to this, the difference between the price received by suppliers and the price at which they are willing to sell the product rises, increasing the producer surplus.

Understanding Subsidy Benefit, Cost, and Effect on the Market

In most cases, we are all familiar with the concept of “per-unit tax,” which is a quantity of money that the government takes from either producers or consumers for each unit of commodities that is purchased and sold. The term “per-unit subsidy” refers to the amount of money that the government provides to either producers or consumers for every unit of products that is purchased and sold. From a mathematical standpoint, subsidies operate similarly to a negative tax. Whenever a subsidy is in place, the entire amount of money that is received by the producer for the sale of products is equal to the total amount of money that is paid by consumers plus the amount of the subsidy.

The following is an example of how a subsidy influences market equilibrium:

Market Equilibrium Definition and Equations

Jodi Beggs is a singer and songwriter. To begin, what exactly is market equilibrium? It is said that market equilibrium has occurred when the amount of goods provided in a market (represented by Qs in this equation) equals the quantity demanded in a market (QD in the equation). In order to find the market equilibrium produced by a subsidy on a graph, these equations must be used in conjunction with another equation or two.

Market Equilibrium With a Subsidy

Jodi Beggs is a singer and songwriter. When a subsidy is implemented, a handful of considerations must be kept in mind in order to determine market equilibrium. In the first place, the demand curve is a function of the price that a consumer pays out of pocket for an item (Pc), since the price that consumers pay out of pocket for a good impacts their consumption decisions. Second, the supply curve is a function of the price that a producer receives for a good (Pp), since the amount received by a producer impacts the incentives that the producer has to create the commodity.

More exactly, the quantity at which the corresponding price to the producer (as determined by the supply curve) equals the price that the consumer pays (as determined by the demand curve) plus the amount of the subsidy is the equilibrium quantity with the subsidy.

Consequently, we might infer that subsidies enhance the number of goods purchased and sold in a market.

Welfare Impact of a Subsidy

Jodi Beggs is a singer and songwriter. The economic impact of a subsidy should not only be considered in terms of its influence on market prices and quantities, but it should also be considered in terms of its direct impact on the welfare of consumers and producers in the market. Consider the regions labeled A-H on the figure above as a starting point. Regions A and B combined reflect consumer surplus in a free market, since they represent the additional advantages that consumers in a market obtain from an item that are in addition to and above the price that they pay for it.

The whole surplus, or the overall economic value generated by this market (also known as the social surplus) is equal to the sum of the following four factors: A, B, C, and D.

Consumer Impact of a Subsidy

Jodi Beggs is a singer and songwriter. When a subsidy is implemented, the calculations of consumer and producer surpluses get a little more difficult, but the basic rules remain the same. Consumers receive the area over and below the price that they pay (Pc) and above and below their value (which is determined by the demand curve) for all of the units that they purchase in the market. This area is represented by the letters A + B + C + F + G on the figure. As a result of the subsidies, customers are better off as a result of it.

Producer Impact of a Subsidy

Jodi Beggs is a singer and songwriter. The area between the price they get (Pp) and the price above their cost (which is determined by the supply curve) for all of the units that they sell in the market is calculated for producers in the same way as for consumers. On the figure, this area is represented by the letters B, C, D, and E. As a result of the subsidies, manufacturers are in a better financial position. In general, consumers and producers participate in the advantages of a subsidy, regardless of whether the subsidy is directed directly to producers or consumers in the first instance.

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The relative elasticities of producers and consumers determine which party gains the most from a subsidy, with the more inelastic side reaping the most advantage.

Cost of a Subsidy

Jodi Beggs is a singer and songwriter. Whenever a subsidy is implemented, it is critical to evaluate not just the impact of the subsidy on consumers and producers, but also the amount of money that the subsidy will cost the government and eventually the taxpayers. As shown by this equation, if the government offers a S subsidy on each unit purchased and sold, the total cost of the subsidy is equal to S times the equilibrium amount present in the market at the time the subsidy is implemented.

Graph of Cost of a Subsidy

Jodi Beggs is a singer and songwriter. To illustrate the entire cost of the subsidy graphically, a rectangle may be drawn with a height of S and a width equal to the equilibrium quantity of goods purchased and sold while benefiting from the subsidy (see Figure 1). A rectangle of this type is seen in this picture, and it may also be represented by the letters B + C + E + F + G + H. It makes sense to conceive of money that is paid out by an organization as negative revenue since revenue reflects money that is brought into the company.

As a consequence, the “government revenue” component of the overall surplus is provided by -(B + C + E + F + G + H) where B is the number of government revenues. When all of the surplus components are added together, the overall surplus under the subsidy is equal to A + B + C + D – H.

Deadweight Loss of a Subsidy

Jodi Beggs is a singer and songwriter. It is concluded that subsidies result in economic inefficiency, also known as deadweight loss, because the overall surplus in a market under a subsidy is smaller than the total surplus in a free market. This graphic depicts the deadweight loss as area H, which is the shaded triangle to the right of the free market quantity (as shown in the diagram). When a government provides a subsidy, it promotes economic inefficiency because it costs the government more money to implement the subsidy than the subsidy generates in additional benefits for consumers and producers.

Are Subsidies Bad for Society?

However, despite the seeming inefficiency of subsidies, it is not always the case that subsidies constitute inefficient public policy. When positive externalities are present in a market, subsidies, on the other hand, might increase rather than decrease the total surplus. Furthermore, when considering fairness or equality problems, as well as markets for needs like as food or clothes, where cost rather than product appeal is the primary constraint on desire to pay, subsidies might make sense.

4.7 Taxes and Subsidies – Principles of Microeconomics

Topic 4: Supply and Demand in Practical Situations, Part 2

Learning Objectives

You will be able to do the following by the conclusion of this section:

  • Distinguish between the incidence of legal and economic taxes. Be familiar with how to depict taxes using the shifting curve and the wedge approach
  • Understand how a tax affects the quantity and price of a product
  • Give an explanation of how taxes and subsidies result in deadweight loss.

Despite the fact that taxes are not the most popular policy, they are frequently required. By changing the curve and utilizing the wedge approach, we will be able to better understand how taxes influence the market and how to mitigate their effects. First and foremost, we must distinguish between the incidence of legal taxation and the incidence of economic taxation.

Legal versus Economic Tax Incidence

When the government establishes a tax, it must choose whether the tax will be levied against producers or against consumers. This is referred to as “legal tax incidence.” Consumer-facing taxes such as the Government Sales Tax (GST) and Provincial Sales Tax (PST) are among the most well-known types of taxes (PST). In addition, the government imposes levies on manufacturers, such as the gas tax, which reduces their profit margins. When identifying who is effected by a tax, the legal incidence of the tax is essentially immaterial to the decision.

In the same way, a tax on consumers would eventually diminish the quantity required and the excess produced by producers.

Tax – Shifting the Curve

As discussed in Topic 3, we discovered that the supply curve was formed from a firm’s Marginal Cost and that variations in the supply curve were produced by any changes in the market that resulted in an increase in MC across the board. This is no different in the case of a tax. From the point of view of the producer, every tax imposed on them is just an increase in the marginal costs per unit produced. To illustrate the effect of a tax, let’s look at the oil market again.If the government levies a $3 gas tax on producers (a legal tax incidence on producers), the supply curve will shift up by $3.

It should be noted that producers no longer earn $5; instead, they now receive only $2, as $3 must be given to the government.

Because the demand curve shows the willingness of customers to pay, the tax will cause the demand curve to move downward as a result of the tax.

This results in a new equilibrium in which buyers pay a $2 ticket price while also knowing that they will be required to pay a $3 tax, for a total of $5 in taxes.

The producers will receive the $2 paid before taxes.Figure 4.7bNote that whether the tax is levied on the consumer or producer, the final result is the same, proving the legal incidence of the tax is irrelevant.

Tax – The Wedge Method

Another way to look at taxes is via the lens of the wedge approach. As a result of this strategy, it is recognized that who pays the tax is ultimately immaterial. As opposed to this, the wedge approach explains how a tax creates a wedge between the price consumers pay and the revenue producers get that is proportional to the amount of tax charged. As seen in the illustration below, finding the new equilibrium is as simple as finding a $3 wedge between the two curves. Only $0.7 is tried for the first wedge, followed by $1.5, and so on until the $3.0 tax is discovered.

Market Surplus

In the same way that price and quantity restrictions must be compared before and after a price change in order to properly appreciate the impact of a tax policy on surplus, one must compare the market surplus before and after a tax policy change. Figure 4.7d (right)


The market surplus prior to the tax has not been indicated, although this should be a normal part of the process. Make certain you understand how to obtain the values shown below: Consumer surplus is equal to $4 million. 8 million dollars in producer surplus Market Surplus is equal to $12 million.


Based on this illustration, the market surplus following implementation of policy may be computed. Consumer Surplus (in the blue area) equals $1 million dollars. Producer Surplus (in the red area) equals $2 million. Revenue from the government (in the green area) = $6 million Market Surplus is equal to $9 million.

Why is Government Included in Market Surplus

We did not include any mention of government revenue in our earlier examples dealing with market excess since the government was not participating in our market at the time of writing. Keep in mind that market excess is our yardstick for measuring efficiency. Without consideration for the government, this statistic would be of limited use. For the sake of this example, a million-dollar loss to the government would be considered efficient if it resulted in a one-dollar benefit to the general public.

  • As was the case with the quota, a reduction in quantity resulted in a drop in both consumer and producer surplus.
  • It is this time when consumers and producers are the ones who are being redistributed to the government.
  • Price adjustments merely rebalance the distribution of excess among consumers, producers, and the government.
  • Figure 4.7e (right)
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Transfer – The Impact of Price

The price effect of the tax causes regions A and C to be moved from consumer and producer surplus to government income as a result of the tax’s influence on prices. Bringing Consumers to the Government – Area A Gasoline was initially priced at $4 per gallon for consumers. They are now spending $5 per gallon of gasoline. The $1 rise in price represents the part of the tax that consumers are responsible for paying out of pocket. Despite the fact that the tax is charged against producers, consumers are still required to shoulder a portion of the price increase.

This is due to the fact that a drop in the price to producers implies a decrease in the quantity provided, and in order to preserve equilibrium, the quantity required must reduce by an equivalent amount.

Because of this pricing shift, the government will collect $1 x 2 million gallons, or $2 million, in tax income from customers in the next fiscal year. Essentially, this is a direct transfer from consumers to the government, and it has no impact on the market surplus.

Producers to Government – Area C

In the beginning, gas producers earned a $4-per-gallon income share. They are now paid $2 per gallon of gasoline. This $2 reduction represents the share of the tax that manufacturers are responsible for paying. This means that the government receives $2 million in tax income from the manufacturers for every 2 million gallons of product produced. A shift of wealth has occurred from producers to the government. According to the government’s calculations, it obtains a total of $6 million in tax money, which is collected from consumers and manufacturers.

The Implications of Quantity on Deadweight Loss Deadweight loss would not exist if we just evaluated a transfer of surplus as a possible solution.

When customers pay a higher price, they want fewer items, and when producers pay less, they supply fewer items, resulting in a decline in the amount of merchandise available for sale.

Consumer Surplus Decrease – Area B

A significant number of customers will abandon oil in favor of other fuels as a result of the price hike. The reduction in quantity demand of 1.5 million gallons of oil results in a deadweight loss of $1 million in terms of oil. Producer Surpluses are declining – In addition, producers in Area Dwill reduce the amount of oil they supply by 1.5 million gallons per year because they would now only earn $2.00 per gallon for their output. Not by chance, the magnitude of the drop is the same on both occasions.

  1. It is important to remember that the amount requested must equal the quantity provided in order for the market to stay stable.
  2. Take note, however, that the consequence of this quantity reduction results in a greater fall in producer surplus than consumer surplus, resulting in a $2 million decline in producer surplus.
  3. Together, these reductions result in a $3 million reduction in deadweight (the difference between the market surplus before and market surplus after).
  4. It is a benefit provided by the government to organisations or people, and it is typically in the form of a cash payment or a tax deduction.
  5. In economic terms, a subsidy acts as a wedge, lowering the price consumers pay while raising the price producers get, resulting in a net loss for the government.
  6. Many regulations have been created in reaction to this, allowing low-income families to remain homeowners despite their financial circumstances.
  7. Please note that the following policy is impractical, but it provides for a straightforward understanding of the effect of subsidies.
  8. The government wants to significantly expand the number of customers who can afford to buy a home, so it offers a $300,000 subsidy to everyone who purchases a new home during the current fiscal year.
  9. Across all of the government initiatives we’ve looked at so far, we’ve tried to figure out whether the policy has had an effect on either increasing or decreasing the market surplus.

Unfortunately, as the amount of surplus overlap on our diagram rises, the situation becomes more difficult. To make the study easier to understand, the following figure divides the changes in producers, consumers, and the government into three independent plots. Figure 4.7g (High Resolution)


Producers will now get $550,000 instead of $400,000, resulting in an increase in the quantity of food delivered to 60,000 households. Areas A and B see an increase in producer surplus as a result of this.


Consumers now pay $250,000 instead of $400,000, resulting in an increase in the number of dwellings required to 60,000. This enhances consumer surplus in the areas covered by Cand D’s research.


This idea would cost the government $18 billion and require the government to pay $300,000 per property in order to subsidize the 60,000 customers who are purchasing new homes. In terms of numbers, this corresponds to a reduction in government spending in areas A, B, C, D, and E.


These are the regions where we anticipate total benefits from the policy (to producers and consumers), whereas the areas where we anticipate entire losses (the cost to the government) are areas A, B, C, D and E. To sum it all up: Specifically, the government transfers control of Areas A, B, C, and D to consumers and producers. Area E represents a deadweight loss resulting from the policy. There are two points to take note of in this particular scenario. First and foremost, the program was effective in increasing the number of residences built from 40,000 to 60,000.

It’s important to remember that if a quantity is moved from its equilibrium value, in the absence of externalities, there is a deadweight loss.


A taxation or subsidization scheme is more complex than a pricing or quantity control scheme due to the involvement of a third economic player: the government. As we have shown, who is subjected to a tax or subsidy is immaterial when analyzing how the market ultimately performs. Take note that the past three sections have given a bleak picture of the effectiveness of policy tools. This is due to the fact that our model does not yet account for the external costs that economic players impose on the macro-environment (pollution, sickness, and so on), nor does it assign any significance to equality.

For the reasons stated above, we may conclude that the legal incidence of the tax does not important; but, what does?


Economic Tax Incidence is the distribution of tax depending on who bears the burden in the new equilibrium, which is determined by the elasticity of the new equilibrium market. Legal Tax Incidence refers to the legal allocation of who is responsible for paying the tax.

Subsidy is a benefit provided by the government to organisations or people, and it is typically in the form of a monetary transfer or a decrease in taxation. It is frequently done in order to relieve some form of burden, and it is frequently deemed to be in the general public’s best interests.

Exercises 4.7

For the following THREE questions, refer to the supply and demand curves depicted in the illustration below. Take, for example, the imposition of a $20 per unit tax in this industry. 1.Can you tell me which regions reflect the loss in consumer and producer surplus as a result of this taxation? If you have any questions, please contact us at [email protected] or [phone number]. If you have any questions, please contact us at [email protected] or [phone number] or [email protected] or [email protected].

  • If you have any questions, please contact us at [email protected] or [phone number].
  • 3.In which areas does the deadweight loss connected with this tax manifest itself?
  • Given the after-tax equilibrium in the sock market, which of the following claims is FALSE if the government imposes a constant per-unit tax on socks: (Assume that the demand curve for socks is downward sloping.) a) As a result of the tax, consumers are in a worse financial position.
  • Because of the tax, producers are in a worse financial position.
  • 5.Refer to the supply and demand diagram in the next section.
  • If a subsidy is brought into a market, which of the following statements is TRUE?
  • Make no assumptions about externalities.
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b) The surpluses of consumers and producers fall, but the surplus of society grows.

d) The consumer surplus, the producer surplus, and the social surplus are all on the decline.

Suppose that a $6 per unit tax is imposed in this market, the price that consumers pay will be equal to , and the price that producers get net of the tax will be equal to .

This market’s new equilibrium quantity will be:a) 20 units if a $6 per unit tax is imposed on each unit sold.

c) A total of 60 units.

9) Which of the following claims regarding the deadweight loss of taxes is TRUE?

b) If there is no deadweight loss, then the income raised by the government equals exactly the amount of money lost by consumers and producers as a result of the taxation.

d) Neither a) nor b) are correct.

a) The surpluses of consumers and producers rise, while the surplus of society falls.

b) The surpluses of consumers, producers, and society as a whole all grow in size.

11.Which of the following best illustrates the equilibrium consequences of a per unit subsidy?

Price increases for consumers, but producer prices decline and supply increases.

b) The consumer price increases, the producer price increases, and the amount of goods produced increases.

12.Refer to the supply and demand diagram in the next paragraph.

a) Five dollars; ten dollars A) $6; $11.

C) $8; $3.


What will be the equilibrium quantity if a $2 per unit subsidy is put in the market?

b) A total of 45 units.

d) A total of 55 units.

Assume that: I there are no externalities; and (ii) in the absence of government regulation, the market supply curve is the one labeled S1.14 (supply curve in the absence of government regulation).

Which section of the market will suffer the most from the imposition of a $5 per unit tax in this market? a) The letter a. b) a + b.c) a + b.d) a + d.e) a + d. d) the sum of a, b, and c.

A small country can import a good at a world price of 10 per unit. The domestic supply curve of the good is : S=20+10P The demand curve is : D = 400+5P in addition, each unit of production yields a ma

A tiny country can import an item at a global price of ten cents per unit from another country. The domestic supply curve for the good is represented by the equation S=20+10P. The demand curve is represented by the equation D = 400+5P. Furthermore, each unit of manufacturing generates a marginal social benefit of ten dollars. The entire effect of tariffs of $5 per unit applied on imports on the general welfare is calculated in step 1. b) Calculate the entire impact of a 5 per unit production subsidy on the total output.

d) What would be the ideal amount of production subsidy to provide?

Price floor:

A price floor is a minimum price set by the government that is not to be exceeded. Price increases become effective if they are charged at or above the equilibrium price, while prices decrease become ineffective if they are charged at or below the equilibrium price.

Answer and Explanation:

A) As we all know, startD = 400 – 5Ps = 20 + 10Ps = 400. At,equilibriumD = S400 – 5P = 20 + 10P at the conclusion of the beginning. See the complete response below for more information.

Learn more about this topic:

Demand in Economics: A Brief Overview Concept from Chapter 7/Lesson 11 of the book Learn about the demand curve and how the law of demand operates via the use of real-world examples. See the definition of demand, as well as the pictures and explanations.

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Lesser losses in producer surplus and tariff revenue are experienced than greater losses in consumer surplus. Using shaded triangles to indicate deadweight losses from consumption and production distortions, the net loss resulting from the tariff is illustrated in this diagram. The sum of the two deadweight loss triangles equals 12(550) + 12(525), which equals 187.5. It is necessary to weigh the societal benefits of increasing local production against the losses resulting from the tariff. Following the imposition of the tariff, domestic output grew by 50 units.

This means that after subtracting 187.5 from 500, the net effect of the tax on overall welfare is 312.5.

A production subsidy would result in an increase in domestic supply ofS= 20 + 10(10 + 5) = 170, which is the same as an increase of 50 units as a tariff.

Instead, the only source of inefficiency is the cost of production distortion, which is represented by the leftmost triangle in the picture above.

But because domestic production increased by 50 times 10 = 500, there was a corresponding increase in social welfare of 500 minus 62.5 = 437.5.c.

The tariff serves a dual purpose as both a production subsidy and a consumption tax.d.The ideal subsidy would be for producers to fully internalize the externality by increasing the subsidy to ten cents per unit of output.

Increasing output by 100 units would result in a 12 (10100) = 500 percent reduction in productivity, but the overall social benefit from doing so would be 100 10 = 1000 percent. The net welfare increase would be equal to 1000 minus 500, which is 500.

Calculating effect of a subsidy

Assume that the demand function is linear and has the form: Qd = 120 – 5P. Qs = 30 + 10 and a linear supply curve of the following form: Answer the following questions based on your knowledge of demand and supply functions. Once you have completed the questions, click on the link below to see how your answers stack up against one another.

  1. Calculate the amounts required and provided for prices ranging from $3 to $15 per unit of measure. Make a graph of these numbers to show the demand and supply curves for the product in question. Make use of simultaneous equations to determine the equilibrium price and production output
  2. Figure out where the new supply curve should be drawn on the original supply and demand diagram if the government provides a $3 subsidy per unit. Calculate the new equilibrium price and quantity by referring to the diagram
  3. Make a rough estimate of how much money the government has spent on the subsidies. Calculate the amount of income collected by the companies:

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