Roger is a regular consumer of personalized greeting cards with Hofmann photographs. Its demand curve is given by qd = 31-0.5P. Rogelio is a representative consumer of this type of cards so we can assume that the rest of the customers, 1,000 in total, have the same demand curve. The supplier company, Hofmann, can produce each card at a constant average and marginal cost of €2. In the market of personalized greeting cards there are many other companies that offer very similar cards.
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- COURSE: MICROECONOMICS - Stackelberg ModelIn a given market good there are only 2 firms that satisfy the demand, and their respective total cost functions are: CTi = 400 and the demand that is estimated is P = 120 - 2QIf the exception variable of both firms is the quantity they will produce, such that the decisions to produce are made sequentially firm number 1 will be the leader who decides the quantity to produce and firm number 2 (follower) decides based on the production of firm number 1, we ask:(a) quantity produced by each firm and its equilibrium price in the market.(b) Profit of each company at equilibrium and (c) Graph your resultsAs the new general manager of the Grand Palladium Jamaica luxury all-inclusive resort, youare assessing your pricing policies. Currently, the price of a weekend stay is $2,000 perguest. You estimate the marginal cost of serving a guest at $1,600, and while yourpredecessor unfortunately did not leave you data from the pricing experiments and testmarketing she performed, you do know that such experiments were done, and that yourpredecessor was competent.a. What is your best estimate of the elasticity of demand for a weekend stay at the GrandPalladium?b. Your learned that at the current price, the resort is only 80% full on the weekends.Remembering the sense of belonging that you experienced in a crowded subway duringthe rush hour, you contemplate lowering the price so the resort is completely full. What isyour back-of-the-envelope calculation for how much you need to lower the price?c. After some thought you cooled to the idea of full occupancy. Instead, you focused yourenergy and…Alert dont submit AI generated answer. 2. There are N consumers uniformly distributed along a linear city of unit length, served by two shops located at opposite extremities of the city. The two shops sell an identical product, for which consumers have unit demands, and they have identical constant marginal costs of 2 and no fixed costs. The cost to consumers of travelling the length of the city is 4. a) Making clear your assumptions and calculations, work out the optimal prices the shops should charge for the product, and their profits in terms of N. How does your result relate to the so-called Bertrand Paradox? b) Explain why it is optimal for the shops to locate at opposite ends of the city. c) Suppose one shop only has a marginal cost of 1, but there are no other changes to the setting. Calculate the optimal prices for the shops, and their profits in terms of N.
- Exercise 4.5 Roger is a regular consumer of personalized greeting cards with Hofmann photographs. Its demand curve is given by qd = 31 - 0.5P. Rogelio is a representative consumer of this type of cards so we can assume that the rest of the customers, 1,000 in total, have the same demand curve. The supplier company, Hofmann, can produce each card at a constant average and marginal cost of €2. In the market of personalized greeting cards there are many other companies that offer very similar cards. Consider the following 4 scenarios: (i) Hofmann acts as a perfect competitor. ii) Hofmann acts as a monopolist. iii) Hofmann acts as a first-degree discriminator monopolist iv) Hofmann acts as a second-degree discriminator monopolist and offers each of its customers the possibility to buy the first 15 cards at a unit price of € 32, the next 5 (from € 16 to 20) at a unit price of € 22 and the following 10 (from € 21 to 30) at a unit price of €2. Calculate, for the 4 scenarios proposed, the…Jonathan, Scott and Mitchell share a garage. All enjoy having the garage cleaned, regardless of who pays for cleaning. The graph below represents Jonathan, Scott and Mitchell’s individual demand for garage cleaning. The marginal cost of cleaning $3 per hour. The Lindahl prices for Jonathan, Scott and Mitchell are, respectively, $68/17, $17/17, and $4/85 per hour. $34/17, $17/17, and $0 per hour. None of these. $30/17, $15/17, $6/17 per hour. $0, $0, and $0 per hour.. When Chinese automakers began exporting cars, rather thanfocusing on developed nations in the West, they shippedautos to emerging markets in countries such as Algeria, Russia,Chile, and South Africa. In these markets, even used vehiclesfrom multinational manufacturers are relatively scarce—andrelatively expensive. The Chinese automakers, who prioritizelow cost rather than design or even safety, applied a penetration-pricing strategy. A woman in Santiago, Chile, who boughta new Chery S21 explained, “The price factor is fairly decisive.I paid $5,500 new and full. Toyota with similar features costsaround $12,000.” Why do you think Chinese automakerschose that pricing strategy? Do you think it was successful?As Chinese regulators pressure these manufacturers to maketheir cars safer, do you think they will be able to keep theirprices low compared with those of the international automakers? Why or why not?26
- Compare the firms least-cost rule with how buyers allocate their consumption dollars.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.
- Give atleast short definition about the statement of the problem given below.Exercise 4.6 An econometrician hired to analyse a local golf course has determined that there are two types of golfers, the regular and the occasional. The annual demand for games from regular players is given by QH = 24 – 0.3P, where P is the price of a round of golf. On the other hand, the annual demand for occasional items is given by QO = 10 – 0.1P. The marginal cost and the average total cost per item are equal to €20. a) If you could distinguish between regular and casual players, what price would be set for each type? How many games would each type of player play? How much profit could the golf course generate? Represent graphically. b) As an alternative to the discrimination of third degree prices, those in charge consider a double tranche rate according to which the members can play as many games as they wish at a price of € 20 per game. How much profit will the golf course generate if it charges all players the same annual fee for becoming a member of the club? What if you…Based on market research, a film production company in Ectenian obtains the following information about the demand and production costs of its new DVD:Demand: P = 1,000 – 10QTotal Revenue: TR = 1,000Q – 10Q2Marginal Revenue: MR = 1,000 – 20QMarginal Cost: MC = 100 + 10Qwhere Q indicates the number of copies sold and P is the price in Ectenian dollars.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 2,000 Ectenian dollarsii. 50 percent of the profitsiii. 150 Ectenian dollars per unit soldiv. 50 percent of the revenueFor each option, calculate the profit-maximizing price and quantity. Which, if any, of these compensation schemes would alter the deadweight loss from monopoly? Explain