Rich Uncle Pennybags is the only seller of board games in Atlantic City, New Jersey. The inverse demand curve for board games is given by: P= 40–0.5q where q is in hundreds of games per month. Rich Uncle Pennybags' marginal cost of producing board games is: MC =7+0.1q . Suppose Uncle Pennybags is a magnificent salesman, able to discern perfectly his customers' willingness to pay. If he leverages this information to begin perfectly price discriminating, how many board games will he sell?
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- Return to Figure 9.2. Suppose P0 is 10 and P1 is 11. Suppose a new firm with the same LRAC curve as the incumbent tries to bleak into the market by selling 4,000 units of output. Estimate from the graph what the new firms average cost of producing output would be. If the incumbent continues. to produce 6,000 units, how much output would the two films supply to the market? Estimate what would happen to the market price as a result of the supply of both the incumbent firm and the new entrant. Approximately how much profit would each firm earn? Figure 9.2 Economics of Scale and Natural MonoploySuppose a perfectly competitive market for hotdog stands in New York City becomes monopolistically competitive when gourmet, discount, andethnic hot-dog retailers show up, making eachcart slightly different. If hot dogs from differentstands are now imperfect substitutes and there arenumerous carts in the city, compare the producerand consumer surplus and total social welfarebefore and after the changeJackistheowneroftheonlylocalbarinasmalltown.Hesellswhiskeyin one-ounce glasses. For simplicity, let’s assume it doesn’t cost Jack anything to run his business. There are two customers, Adam and Burt who are twin brothers. Adam’s demand function is yA = 16 – 2p, and Burt’s demand function is yB = 8 – p (price is measured in dollars and quantity is measured by ounces). Jack knows their demand functions, but the problem is that he cannot tell them apart since they look exactly the same to him. To increase his profits, Jack offers the following two options that his customers can choose from: (1) You can pay $T1 up front and drink as much as you want; or (2) Pay $T2 up front and the price per ounce of whiskey will be $p. 1.a If p = 4, what is the maximal T2 that Jack can charge so that Burt is willing to come to the bar? 1.b What is the maximal T1 that Jack can charge so that Adam will choose the first pricing option?
- Suppose that Volkswagen hires a popular singer to adver-tise its compact automobiles. The campaign is very success-ful, and the company increases its share of the compact-car market substantially. What is Ford likely to do?Aidan and Celina are the only sellers of jack russell terrier (JRT) inAntigua. Celina chooses her profit maximizing number of JRTs to sell, q1, basedon the number of JRTs that she expects Aidan to sell. Aidan knows how Celinawill react and chooses the number of JRTs that she herself will sell, q2, aftertaking this information into account. The inverse demand function for JRTs isP(q1 + q2) = 2, 000 − 2(q1 + q2). It costs $400 to raise a JRT to sell.(a) Explain in detail what type of competitors are Aidan and Celina.(b) If Celina expects Aidan to sell q2 JRTs, what will her ownmarginal revenue be if she herself sells q1 JRTs?(c) What is Celina’s reaction function, R(q2)?(d) Now if Aidan sells q2 JRTs, what is the total number of JRTsthat will be sold?(e) What will be the market price as a function of q2 only?(f) What is Aidan’s marginal revenue as a function of q2 only?(g) How many JRTs will Aidan sell?(h) How many JRTs will Celina sell?(i) What will be the industry price? ANSWER…Aidan and Celina are the only sellers of jack russell terrier (JRT) inAntigua. Celina chooses her profit maximizing number of JRTs to sell, q1, basedon the number of JRTs that she expects Aidan to sell. Aidan knows how Celinawill react and chooses the number of JRTs that she herself will sell, q2, aftertaking this information into account. The inverse demand function for JRTs isP(q1 + q2) = 2, 000 − 2(q1 + q2). It costs $400 to raise a JRT to sell.(a) Explain in detail what type of competitors are Aidan and Celina.(b) If Celina expects Aidan to sell q2 JRTs, what will her ownmarginal revenue be if she herself sells q1 JRTs?(c) What is Celina’s reaction function, R(q2)?(d) Now if Aidan sells q2 JRTs, what is the total number of JRTsthat will be sold?(e) What will be the market price as a function of q2 only?(f) What is Aidan’s marginal revenue as a function of q2 only?(g) How many JRTs will Aidan sell?(h) How many JRTs will Celina sell?(i) What will be the industry price?
- In Autarka there are 9600 people who like to visit an amusement park. Each of theseconsumers wants to visit one park once. The consumers' homes are evenly spaced acrossthe island, and they each suffer a disutility of $24 for each kilometre they travel to reachan amusement park. With their current technology, it costs an amusement park $12 for each customer theyhost. At present, the equilibrium price for an amusement park ticket is $36, and each firmhas a profit of $115,200. This market is best modelled as Hotelling competition. Fixed costs should be neglected. Treat this market as a one-shot game. Do not consider repetition or associated phenomena such as collusion or predatory pricing. Find the profit function for Bernice's Wild Rides. Assuming that Bernice's marginal cost is $12.In Autarka there are 9600 people who like to visit an amusement park. Each of theseconsumers wants to visit one park once. The consumers' homes are evenly spaced acrossthe island, and they each suffer a disutility of $24 for each kilometre they travel to reachan amusement park. With their current technology, it costs an amusement park $12 for each customer theyhost. At present, the equilibrium price for an amusement park ticket is $36, and each firmhas a profit of $115,200. This market is best modelled as Hotelling competition. Fixed costs should be neglected. Treat this market as a one-shot game. Do not consider repetition or associated phenomena such as collusion or predatory pricing. Derive an expression for the location of the indifferent consumer. Use PA to represent the price of admission at Alfonso's Wonderland, and PB to represent the price of admission at Bernice's Wild Rides.A diner has no competition when it comes to it's famous reuben sandwich combo plate, for which the graph shows the diners demand (d), marginal cost (mc), and marginal revenue (mr), curves. The price of $20 is based on the mr = Mc rule for profit maximazation. The rectangular region shown represents the net revenue from sales of the sandwich (total revenue from reuben combo sales minus total variable costs associated with reuben combo sales). Now, suppose the diner decides to raise the price during the lunch hour, which accounts for 60% of reuben combo sales, knowing that it's lunch-hour patrons are the most loyal buyers of the reuben combo and also that they are locked into the lunchtime slot by their work schedules. The diner raises the price just enough not to lose any lunch-hour buyers. Use the area tool to outline the region representing the resulting additional net revenue from the price increases. Part 2: As a result of the revised price structure, the diners net revenue…
- Tuan lives in a town with only one movie rental store. Suppose Tuan's demand for movie rentals per month is Q = 16 - 2P. The movie store currently charges $5 per movie but is thinking of adding a flat monthly cardholder fee and dropping the price to $2 per rental. At this new price, what is the largest cardholder fee that Tuan will pay? If the rental store has a constant marginal cost of $2, which strategy is more profitable?b) The manager could have charged Joe a single price per round. How much extra profit does theclub earn by using two-part pricing?c) Joe marries Susan, who is also an enthusiastic golfer. Susan wants to join the Northlands Club.The manager believes that Susan’s inverse demand function is ? = 100 − 2?. The manager has apolicy of offering each member of a married couple the same two-part prices, so he offers themboth a new deal. What two-part pricing deal maximizes the club’s profit?d) Will this new pricing have a higher or lower access fee and per-unit fee than in Joe’s originaldeal? How much more would the club make if it charged Susan and Joe separate prices?Larry, Curly, and Moe run the only saloon in town.Larry wants to sell as many drinks as possiblewithout losing money. Curly wants the saloon tobring in as much revenue as possible. Moe wantsto make the largest possible profits. Using a singlediagram of the saloon’s demand curve and its costcurves, show the price and quantity combinationsfavored by each of the three partners. Explain. (Hint:Only one of these partners will want to set marginalrevenue equal to marginal cost.)