You make delicious cupcakes that you mail to customers across the country. Your cupcakes are so unique and special that you have a great deal of pricing power. Your customers have identical demand curves for your cupcakes, and a representative customer’s demand curve is shown below. (It’s not needed, but the demand curve equation is P=5-0.2Q or Q=25-5P.) Suppose your MC=$1/cupcake, whether you produce lots or just a few cupcakes. To keep things simple, suppose there are no fixed costs, so FC=0.
a) Acting as a monopolist, show the standard pricing analysis on the graph below that identifies your profit-mamximing price and quantity for your representative customer. Shade areas representing your profit and CS. (PS and profit are the same here since FC=0).
b) (Suppose you offer a quantity discount: first 10 cupcakes at $3 each and any cupcakes over 10 are offered at a discounted price. What discount price will maximize your profit? Show this quantity discount arrangement on your graph and shade areas representing your profit and CS.
c) Now you have another idea – to sell only packages of 20 cupcakes. What is your profit-maximing price for a 20-pack of cupcakes? What is the resulting profit? Shade areas below representing your price and profit answers.
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 2 images
- You are an executive for Super Computer, Inc. (SC), which rents out super computers. SC receives a fixed rental payment per time period in exchange for the right to unlimited computing at a rate of P cents per second. SC has two types of potential customers of equal number-10 businesses and 10 academic institutions. Each business customer has the demand function Q = 10 - P, where Q is in millions of seconds per month; each academic institution has the demand Q = 8-P. The marginal cost to SC of additional computing is 2 cents per second, regardless of volume. a. Suppose that you could separate business and academic customers. What rental fee and usage fee would you charge each group? What would be your profits? b. Suppose you were unable to keep the two types of customers separate and charged a zero rental fee. What usage fee would maximize your profits? What would be your profits? c. Suppose you set up one two-part tariff-that is, you set one rental and one usage fee that both business…arrow_forwardSuppose your firm owns a retirement development that is composed of a gated housing community and a championship level private golf course designed to appeal to retirees that are avid golfers. The development is somewhat isolated and there are no other golf courses within easy driving distance. Obviously, one of the main revenue sources for your company is golf course operations. Suppose the annual individual demand for avid golfers is represented by the following inverse demand function (Q is in annual rounds played): P=100-1.250 Most of the cost to maintain the golf course is fixed in the sense that it is not related to the number of rounds played. Your firm has estimated that the variable cost per round is the result of the cost of leasing and maintaining golf carts and is $20 per round. That is, the variable cost function is: VC (Q) = 200 a. If your firm decides to charge a single price per round of golf, what price should it charge and how many rounds of golf can you expect an…arrow_forwardAssume quantities need not be integers. Demand in a competitive market is Qd(P)=120 – (4/10)*P. If 20 units are transacted, what is the lowest marginal benefit (i.e., MWTP) at which an item is purchased? Round to two decimal places and do not enter a currency symbol. If your answer is $1.125, enter 1.13.arrow_forward
- Joe has just moved to a small town with only one golf course, the Northlands Golf Club. His inverse demand function is p = 140-2q, where q is the number of rounds of golf that he plays per year. The manager of the Northlands Club negotiates separately with each person who joins the club and can therefore charge individual prices. This manager has a good idea of what Joe's demand curve is and offers Joe a special deal, where Joe pays an annual membership fee and can play as many rounds as he wants at $40, which is the marginal cost his round imposes on the Club. Joe marries Susan, who is also an enthusiastic golfer. Susan wants to join the Northlands Club. The manager believes that Susan's inverse demand curve is p = 120-2q. The manager has a policy of offering each member of a married couple the same two-part prices, so he offers them both a new deal. What two-part pricing deal maximizes the club's profit? Will this new pricing have a higher or lower access fee than in Joe's original…arrow_forwardRealizing that there is a great potential for increased tax revenue, government officials in Homeyville began discussing how they could align Airbnb rentals with hotel stays from a tax perspective. Fast-forward to 2018, at which time Homeyville has finally made tax arrangements with Airbnb to levy a $40-per-room tax on rentals. However, now the market conditions have changed. More hosts have now entered the Airbnb market, and awareness of this hotel alternative has increased demand. The following graph shows the demand and supply curves for Airbnb rentals in 2018. Use the green rectangle (triangle symbols) to illustrate the area representing the revenue raised by a $40-per-room tax. Then use the black point (cross symbol) to shade the area representing the deadweight loss generated by this tax. PRICE (Dollars per rental) 200 190 180 Demand 2018 Tax Wedge 170 + 160 150 140 130 120 110 100 0 + 40 80 120 160 200 240 280 RENTALS (Rooms per day) Supply 2018 320 360 400 Tax Revenue…arrow_forwardYou have preferences u(x,y) = xy over games (X) and videos (Y) you can buy on a platform and a $360 budget, with prices px = 9 and py = 6. How much would you be willing to pay (at most) as a subscription fee for each of the following plans (you can buy any amount of Y in each plan at the original price, unless otherwise stated): (a) Plan A : You can buy (any amount of) X at a discounted price px = 4(b) Plan B : You are given 40 units of X for free, but you cannot buy any more of X. (surely can buy any amount of Y)(c) Plan C : You are given 30 units of X for free, but you cannot buy any more of X; you also have a discounted price for good Y; py = 4.arrow_forward
- Suppose a firm is currently selling 1,000 units of output at a price of $8 per unit and has an advertising budget of $400. Suppose further that the firm can sell one more unit of output by either a $0.02 price discount or by a $8.00 increase in advertising expenditure. Is the firm’s advertising budget optimal? If not, determine the optimal advertising budget.arrow_forwardThe regular air fare between Boston and San Francisco is 419. An airline using planes on this route observes that they fly with an average of 236 passengers. Market research tells the airlines’ managers that each $7 fare reduction would attract, on average, 3 more passengers for each flight. How should they set the fare to maximize their revenue?arrow_forward
- Principles of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSONEngineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSON
- Principles of Economics (MindTap Course List)EconomicsISBN:9781305585126Author:N. Gregory MankiwPublisher:Cengage LearningManagerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage LearningManagerial Economics & Business Strategy (Mcgraw-...EconomicsISBN:9781259290619Author:Michael Baye, Jeff PrincePublisher:McGraw-Hill Education