Suppose that a market is described by the following supply and demand equations: Q = 2P QD = 300 - P a. Solve for the equilibrium price and the equilibrium quantity. b. Suppose that a tax of T is placed on buyers so the new demand equation is QD = 300 - (P + T). %3D Solve for the new equilibrium What bappens
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- What is consumer surplus? How is it illustrated on a demand and supply diagram?given that Qs = 100+3P and Qd = 400 - 2P Now suppose that a tax is placed on buyers so that Qd = 400 – (2P + T) where T istaxes. If T = 15, solve for the new equilibrium price and quantity. (Note: You aresolving for the equilibrium price for sellers and buyers).Suppose ManTown demand and supply curves for oil is given by ? = 500−4? ? = −100+6? a) Determine which one is the supply b) Calculate the equilibrium price and quantity c) Suppose that ManTown demand changes to ? = 600−4?.Find the new equilibrium price and quantity. e) Compare what happens to equilibrium quantities and prices in questions (b) and (c)? f) From equation (1), if the current price is 110, describe what happens to quantities and prices of demand and supply in this market?
- The annual demand for imported oranges is given by the following equation:?? = 600,000 − 30,000?where ? is the price per kilogram and ?? is quantity of kilograms demanded per year.The supply of imported oranges is given by the equation:?? = 20,000? a. Suppose that a $1-per-gallon tax is levied on the price of oranges received by sellers. Use both graphic and algebraic techniques to show the impact of the tax on market equilibriumQ^d= 9.5 - 2p Q^s= 0.6p Tax. Suppose that the government imposes a tax equal to T = 0.50 which buyers must pay for every donut they purchase. (a) How does this tax change the supply and/or demand curve for donuts? (b) Solve for the new equilibrium price and quantity of donuts. Give the price paid by the buyer and the price received by the seller. (c) Draw a single supply and demand diagram that compares the equilibrium with and without the tax. Be sure to indicate the equilibrium quantity of donuts sold as well as the price paid by buyers and the price received by sellers in each case. On the same diagram, indicate the areas which represent consumer and producer surplus, tax revenue and the deadweight loss arising from this tax. (d) Calculate the amount of producer and consumer surplus at this new equilibrium price and quantity, as well as the amount of tax revenue and the deadweight loss. (e) Is the total surplus higher, lower, or the same as in question one? Give an…Suppose the demand for Car is given by Qd = 1000-0.5P and that the supply of Car is given by Qs=2P-300 .a. Solve for the equilibrium price. Plug the equilibrium price back into the demand equation and solve for the equilibrium quantity.b. Draw a diagram, depicting supply and demand.c. Suggest a method how you can check your result from A and implement it. Is your result that you gave in A) correct?d. Calculate the Consumer Surplus for the given setting.
- The demand and supply for taxi cab Rides are given as follows; QD = 600 + pO - pR and QS = 200 – pO + pR Where pR is the price of a taxi ride, and pO is the price of oil. As you see, both the demand and the supply of taxi cab rides are affected by the price of oil, pO. Assume that pO < 3. (a) For a given pO, derive the equilibrium price and quantity for the taxi rides (both the price and/or quantity might depend on pO, naturally). Does the equilibrium price for rides increase/decrease/stay the same as the price oil increases? Does the equilibrium quantity of rides increase/decrease/stay the same as the price oil increases? (b) (Conceptually rather hard!) Consider the equilibrium above, as a function of the given oil price, pO. As the oil gets more expensive, what happens to the price elasticity of demand AT THE EQUILIBRIUM point?Suppose you are given the following information: Qs = 100 + 3P Qd = 400 – 2P where Qsis the quantity supplied, Qdis the quantity demanded and P is price. 1. Now suppose that a tax is placed on buyers so that Qd = 400 – (2P + T) where T istaxes. If T = 15, solve for the new equilibrium price and quantity. (Note: You aresolving for the equilibrium price for sellers and buyers)The annual demand for imported oranges is given by the following equation:?? = 600,000 − 30,000?where ? is the price per kilogram and ?? is quantity of kilograms demanded per year.The supply of imported oranges is given by the equation:?? = 20,000? b. Suppose that a $1-per-gallon tax is levied on the price of oranges received by sellers. Use both graphic and algebraic techniques to show the impact of the tax on market equilibrium.
- Suppose ManTown demand and supply curves for oil is given by ? = 500−4? ? = −100+6? a) Determine which one is the supply curve and which one is the demand curve and why? b) Calculate the equilibrium price and quantity c) Suppose that ManTown demand changes to ? = 600−4?. Find the new equilibrium price and quantity. e) Compare what happens to equilibrium quantities and prices in questions (b) and (c)? f) From equation (1), if the current price is 110, describe what happens to quantities and prices of demand and supply in this market?Q^d= 9.5 - 2p Q^s= 0.6p Tax. Suppose that the government imposes a tax equal to T = 0.50 which must be paid by buyers for every donut they purchase. (a) How does this tax change the supply and/or demand curve for donuts? (b) Solve for the new equilibrium price and quantity of donuts. Give the price paid by the buyer and the price received by the seller. (c) Draw a single supply and demand diagram that compares the equilibrium with and without the tax. Be sure to indicate the equilibrium quantity of donuts sold as well as the price paid by buyers and the price received by sellers in each case. On the same diagram, indicate the areas which represent consumer and producer surplus, tax revenue and the deadweight loss arising from this tax. (d) Calculate the amount of producer and consumer surplus at this new equilibrium price and quantity, as well as the amount of tax revenue and the deadweight loss. (e) Is total surplus higher than, lower than or the same as in question one? Give an…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…