4b. The Parking Services Department on a small college campus has control of 1000 Student parking spaces. The annual demand for these spaces, as a function of the Price, p, for a parking permit, is QD = 2000 - 20p. i. If Parking Services wants to set a Pareto-efficient price but believes a parking space is a rival good, what price will it set? ii. Following a survey, Parking Services determines that a parking space is a non- rival good with the number of times it is shared, a, a function of the price, a = 20 -1/2p. With this information, what is the profit-maximizing price of a permit, and how many students will share a parking space?
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- Suppose a small town has two bakeries: Bakery A and Bakery B. The residents of the town have different preferences when it comes to buying bread. Bakery A produces high-quality bread and charges a price of $5 per loaf, while Bakery B produces standard-quality bread and charges a price of $3 per loaf. The demand for bread in the town can be represented by the following equations: Q_A = 200 - 10P_A + 4P_B Q_B = 150 - 6P_B + 2P_A Where: Q_A and Q_B are the quantities of bread demanded from Bakery A and Bakery B respectively. P_A is the price charged by Bakery A. P_B is the price charged by Bakery B. a) Calculate the quantities of bread demanded from Bakery A and Bakery B when P_A = $5 and P_B = $3. b) Calculate the quantities of bread demanded from Bakery A and Bakery B when P_A = $6 and P_B = $2. c) If Bakery A and Bakery B collaborate and decide to charge the same price, what price should they charge to maximize their combined revenue? Calculate the price and the corresponding quantity…There are two types of consumers in Melbourne: students and non-students. The student population is 10, and each student’s demand of printing paper is Q=1−P, for P<1.The non-student population is 40, and each non-student’s demand of printing paper is Q=3−P, for P<3. Suppose OfficeMax is the only seller of printing paper in Melbourne. Assume zero production cost. Given the optimal price is 1.30, compute the consumer surplus for students, consumer surplus for non-students, and producer surplus.Suppose there are only two fishermen, Maria and Ruby, who fish along a certain coast. They would each benefit if lighthouses were built along the coast where they fish. The marginal cost of building each additional lighthouse is $100. Maria’s demand curve for lighthouses is given by P=170-2Q, and Ruby’s by P=150-Q, where Q is the number of lighthouses. Explain why we might not expect to find the efficient number of lighthouses along this coast. Draw the demand curve for Maria and Ruby individually and the market demand for lighthouses. What is the efficient number of lighthouses?
- Alex owns a mineral water spring that provides him with an unlimited supply of water at no cost. He can bottle the water at a cost of $2 per litre. Alex's neighbour, Scrooge, found a mineral spring of his own, that provides him with the same water quality as that of Alex. It also costs him $2 per litre to get his water out of the ground and bottle it. The inverse demand curve for mineral water is given by P(Q)=20−0.2Q, where P is the price per litre and Q is the number of litres sold. How many litres will each of them sell in the Cournot equilibrium?A firm produces two products (Goods 1 and 2) and has three consumer types (A, B, and C), each of whom represent 1/3 of the market. The consumers’ willingness to pay for each good is given in the following table: Consumer: GOOD 1 GOOD 2 A $600 $100 B $1000 $50 C $350 $150 a.) Suppose both goods are produced at zero marginal cost. If the goods cannot be bundled, what is the optimal price to charge for each good? b.) If the goods can be bundled, what is the optimal price to charge for each bundle? What is the total profit? Should your firm bundle or not? c.) Suppose the production of each good entails a marginal cost of $80 (so the MC of the bundle is $160). How would this this change your answers to a. and b. above?Assume the supply curve of the typical taxi cab driver in Chicago is P = 4 + 2Q. Suppose the market price is P = 12. Assume cab drivers, sellers of taxi services the in Chicago are regulated by a municipal authority. The regulatory authority charges the sellers a “license fee” that must be paid in order to obtain a license to operate a cab. What is the maximum license fee the regulators can charge? Use the concept of the “seller’s surplus” to answer the question.
- Two consumers, Smith and Jones, have the following demand curves for recorded operas broadcasts on Saturdays:Smith: PS = 12 - Q Jones: PJ = 12– 2QWhere PS and PJ represent the marginal willingness-to-pay values for Smith and Jones, respectively, and Q represents the number of hours of opera broadcast each Saturday. If Smith and Jones are the only radio listeners, construct the market demand curve for recorded opera broadcasts. If the marginal cost of opera broadcasts is $15 per hour, what is the socially optimal number of hours of broadcast opera?Scenario 4 Suppose there are two residents in a neighborhood, Tana and Jason. Tana's demand for clean streets is Q = 100 – 4P. Jason's demand for clean streets is Q = 80 – 2P. If your answer is not a whole number, please make sure to round to the nearest hundredth. Refer to Scenario 4. Find the social demand curve for clean streets in this neighborhood. What is the y-intercept of the social demand curve? (Do not enter a dollar sign in your answer)An airline company determines the price of a seat on a particular route between city A and city B to be p = 200 + 0.02n, where p is the airfare price in euro and n is the number of airplane seats sold per day. The travel demand for this route by air has been found to be n = 4700 – 20p Q1 (A) Construct the demand curve for the specific air transportation market. Q1 ( B) Determine the equilibrium price charged and the number of seats sold per day, and the resulting revenues of the company. Q1 (C) Suppose that the airline company decides to connect city A with city B through an indirect flight service via a regional hub at city C. What are the implications of this decision from the company and customers’ viewpoint?
- Suppose the market for rum can be described by the following equations: Demand: P= 10- Q, Supply: P= Q - 4, where P is the price in US dollars per unit and Q is the quantity in thousands of units. Then: 3) suppose the government has a change of heart about the importance of rum to the public. the tax is removed and a subsidy of $1 per unit granted to rum producers. a) what will the equlibrium quantity be? b) what price will the buyer pay? c) what amount per unit (including the subsidy) will the seller recieve? d) what will be the total cost to the government?Based on market research, a film production company in Ectenia obtains the following information about the demand and production costs of its new DVD Demand :P =1000-10Q Total Revenue : TR=1000Q-10Q2 Marginal Revenue: MR=1000-20Q Marginal Cost: MC=100+10Q Where Q indicates the number of copies sold and P is the price in Ectenian dollasrs. a. Find the price and quantity that maximize the company's profit b. Find the price and quantity that would maximize social welfare c. Calculate the deadweight loss from monpoly. d. Suppose in addition to the costs above. the director of the film has to be paid. The company is considering four options i. a flat fee of 2000 Ectenian dollars ii. 50 percent of the profits. iii. 150 Ectenian dollars per unit sold iv. 50 percent of the revenue. For each option, calculate the profit-maximizing price and quantity. Which if any of these compensation schemes would alter the deadweight loss from monopoly. Explain.The cost (supply) of each "unit" of NPR (National Public Radio) is P=9. Derek's valuation for each unit of NPR (demand) is given by Pp=20-2Q, and Kim's valuation is given by Pk=10-Q. The social valuation of NPR is Ps= Q. The socially optimal amount of NPR is units. Without intervention, the private market would lead to an 수 of NPR. Suppose the government decides to subsidize NPR in order to achieve the socially optimal amount of NPR. The total demand function is Qr= The appropriate subsidy is $ (include 2 decimals) per unit of NPR