Demand for high-end purses in a town is given as P = 600 – 0.01Q², and supply is given as P = 100 + 0.04Q2, where price is in dollars, and quantity is in number of purses. In order to keep high-end purses super exclusive, a number of local social media influencers lobby the government to impose a quota of 30 purses. In order to appear more in touch with the young social media crowd, the local government council agrees to implement the quota. a. Calculate the new consumer and producer surplus values after this intervention.
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- The Australian Government believes that maintaining a viable airline industry is essential to the long term sustainability of the country’s tourism - so in order to support them in a post covid travel environment they are proposing to subsidise the purchase of tickets. The demand for tickets is given by Qd = 5000 − 10P and the supply is Qs = 2000 + 10P. (a) Solve for the equilibrium price and quantity in this market, and calculate producer and consumer surplus. (b) Suppose the government offers a $100 per ticket as a subsidy, recalculate the equilibrium price and quantity to reflect the subsidy. What will be the price paid by ticket buyers be and the price received by sellers? (c) How much will the subsidy program cost the government and what will be its net effect on the total surplus?The demand and supply functions for stylus pens are given by P = 100 - Q and P = 20 + 5Q, respectively.Now the government imposed a $10 per unit tax on stylus pens collected from sellers. What are themarket equilibrium price and quantity of stylus pens before imposing the tax? What are the marketequilibrium price and quantity of stylus pens after imposing the tax? What is the tax burden imposed onbuyers and sellers, respectively?The market demand for bicycle helmets is given by D(P) = 90−4P and the market supply ischaracterized by S(P) =P−10. In both expressions, P is the price per unit. The government introduces a per unit subsidy of S per helmet, that is paid out to the producer for each sale of helmets. (a) What is the equilibrium price and quantity before the government intervenes in the market? (b) What is the equilibrium price and quantity after the government intervenes in the marketimposing a per subsidy S >0? Hint: You have to find the equilibrium for all relevant levels of S. (c) Calculate changes in consumer surplus, producer surplus and welfare, as a function of subsidy S, due to the introduction of the subsidy. What welfare conclusion(s) do you draw? Illustrate graphically.
- Draw the supply and demand curves associated with the table below. Price Qs Qd $0.00 50 200 0.50 100 175 1.00 150 150 1.50 200 125 2.00 250 100 (a) What is equilibrium price and quantity? (b) What is equilibrium price and quantity with a $0.75 per-unit tax levied on suppliers? Demonstrate your answer graphically. (c) How does your answer to b change if the tax were levied on consumers, not suppliers? Demonstrate your answer graphically. (d) What conclusion can you draw about the difference between levying a tax on suppliers and consumers?A study of a country's colleges and universities resulted in the demand equation q = 20,000 − 2p, where q is the enrollment at a public college or university and p is the average annual tuition (plus fees) it charges.† Officials at Enormous State University have developed a policy whereby the number of students it will accept per year at a tuition level of p dollars is given by q = 5,200 + 0.5p. Find the equilibrium tuition price p and the consumers' and producers' surpluses at this tuition level. What is the total social gain at the equilibrium price? HINT [See Example 3.] equilibrium tuition price p = $ consumers' surplus CS = $ producers' surplus PS = $ total social gain $The demand curve for product X is given by QXd = 340 − 4PX.a. Find the inverse demand curve. Instruction: Enter all values as integers, or if needed, as a decimal. PX = ___ − ___ QXdInstructions: Enter your responses to the nearest penny (two decimal places).b. How much consumer surplus do consumers receive when Px = $45?$ c. How much consumer surplus do consumers receive when Px = $30?$ d. In general, what happens to the level of consumer surplus as the price of a good falls?The level of consumer surplus _____ as the price of a good falls
- Suppose the government of the island has decided to give consumers a more attractive price for tomatoes by imposing a fixed, per unit subsidy. Thus, start with the original demand (Qd = 450 - 100P) and supply (Qs = 50P) and analyze this new intervention, the subsidy. The subsidy works like this: each tomato seller receives a 3-dollar refund for each kilogram of tomatoes sold. Write down the equation for the new "effective supply" curve. Determine the new equilibrium quantity and equilibrium price. What is the price that the consumers will pay for their tomatoes? What is the price that the producers will effectively earn for their tomatoes, inclusive of the subsidy? How much will the government spend on tomato subsidies in this case in total? (Recall the units of measurement: P is the price in dollars per kilogram of tomatoes; and Q is the quantity of tomatoes, expressed in thousands of kilograms.) Graphically depict the new equilibrium complete with (solved) values for the new….12) In the effort to reduce alcohol consumption, the government is considering a $1 tax on each gallon of liquor sold. The legal incidence of the tax will be on producers. Suppose the demand for alcohol is described by Q D = 500,000 – 20,000*P where Q D is quantity and P is price per gallon (NOTE: the inverse demand curve would be P = 25 – 0.00005*Q D ). The supply curve is described at Q S = 30,000*P (NOTE: This would make the MC curve MC = (1/30,000)*Q S ). a. Draw the supply and demand curves before the tax is imposed. Calculate the equilibrium price and quantity. b. Add the tax to the supply curve. Calculate the new price per gallon consumers pay, the price per gallon producers receive, and the new equilibrium quantity. c. Calculate the amount of revenue the tax generates. How much of the tax is paid by consumers? How much of the tax is paid by producers? d. Calculate the elasticity of demand at the original equilibrium price. Calculate the elasticity of supply at the original…12) In the effort to reduce alcohol consumption, the government is considering a $1 tax on each gallon of liquor sold. The legal incidence of the tax will be on producers. Suppose the demand for alcohol is described by Q D = 500,000 – 20,000*P where Q D is quantity and P is price per gallon (NOTE: the inverse demand curve would be P = 25 – 0.00005*Q D ). The supply curve is described at Q S = 30,000*P (NOTE: This would make the MC curve MC = (1/30,000)*Q S ). D. Calculate the elasticity of demand at the original equilibrium price. Calculate the elasticity of supply at the original equilibrium price. e. Calculate the deadweight loss of the tax. f. Suppose that if you were to disaggregate the market demand into young drinkers and old drinkers you would find that the demand for alcohol is more elastic among young drinkers than old drinkers. Which group of drinkers will change their behavior more? Which group of drinkers will bear the bigger burden of the proportion of the tax that…
- he inverse demand function for portable electric heaters is P=220-Q and the supply function is P=20+3Q. Find the competitive equilibrium in the market of portable electric heaters (price and quantity) and represent it graphically. Compute the consumer surplus, producer surplus, and total welfare corresponding to the equilibrium found at point (a) and represent them on the graph. The government believes portable electric heaters are a very inefficient way of space heating. For this reason, it introduces a specific tax of 20 for each portable electric heater sold. Find the new quantity exchanged on the market after the introduction of the tax, the price paid by the buyers, and that received by the sellers. Compute the new consumer surplus, producer surplus, and total welfare after the introduction of the tax and represent them on the graph. Does the government’s intervention generate a loss of welfare? If yes, explain why and compute it. Use the price elasticity of demand and supply in…Suppose that the demand for a concert is represented by the following equation, where P is the price of concert tickets and QD is the quantity of tickets demanded:QD = 2200 - 24PThe supply of tickets is represented by the equation where P is the price of the tickets and QS is the quantity of tickets supplied:QS = -500 +79PGive all answers to two decimals. 1. Find the equilibrium price and quantity of tickets sold. 2. Calculate the consumer surplus and producer surplus at the equilibrium price and quantity. Use the formula for the area of a triangle, (½ × base × height), to calculate each value.Suppose the government of the island has decided to make tomatoes more affordable to consumers by imposing a fixed per unit subsidy. Thus, start with the original demand (Qd = 50 – 5P) and supply (Qs = 5P – 25) and analyze this new intervention, the subsidy. The subsidy works like this: tomato sellers receive a $4 refund from the government for each kilogram of tomatoes they sell to consumers. What is the price that the producers will effectively earn for their tomatoes, inclusive of the subsidy? How much will the government spend on tomato subsidies in this case in total? (Recall the units of measurement: P is the price in dollars per kilogram of tomatoes; and Q is the quantity of tomatoes, expressed in thousands of kilograms.) Produce a new graph depicting the new, post-subsidy equilibrium complete with (solved) values for the new price and quantity. Please include the original supply curve in this graph, in addition to the new “effective supply” curve; and clearly label the shift…