Suppose a duopoly in a market for a differentiated good. The demands and costs of the two companies, A and B, are given by: Qa 200 - 2Pa + Pb Qb 200 - 2Pb + Pa CTA = 550 + 46 Qa CTb 550 + 46 Qb Assuming that the two companies choose their price (Bertrand model), what quantity will be produced by firm A?
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- Consider any market that has an inverted demand curve given by P = 200-0.6Qd, where P is the market price and Qd is the quantity demanded. Whatever the market structure, it is known that the production of this good takes place through Cmg = CVme= $8.00. Consider that the production of this market can be done by a monopolist company or by two duopolists. If it is a duopoly, the companies will organize themselves as a Stackelberg duopoly and will each have a fixed cost of $3,000.00. If it is a monopoly, this company will have a lot of expenses with licenses with the government, as it is the only one to explore the resource. In this way, your fixed costs would reach $15,000.00. Given this information, evaluate the best balance for this market, from the point of view of consumers.A nightclub manager realizes that demand for drinks is more elastic among students, and is trying to determine the optimal pricing schedule. Specififically, he estimates the following average demands: • Under 25: qr= 18 − 5p • Over 25: q = 10 − 2p The two age groups visit the nightclub in equal numbers on average. Assume that drinks cost the nightclub $2 each. (a) If the market cannot be segmented, what is the uniform monopoly price? (b) If the nightclub can charge according to whether or not the customer is a student but is limited to linear pricing, what price (per drink) should be set for each group? (c) If the nightclub can set a separate cover charge and price per drink for each group, what two-part pricing schemes should it choose? (d) Now suppose that it is impossible to distinguish between types. If the nightclub lowered drink prices to $2 and still wanted to attract both types of consumers, what cover charge would it set? (e) Suppose that the nightclub again restricts itself…Consider any market that has a demand curve given by: Qd = 240 - 2P. Where Qd is the total quantity demanded in the market, given in millions of units and P is the market price, calculated in monetary units. Imagine that there are 2 Cournot oligopolists operating in this market with Cmg = CVme = 15 and fixed monthly costs equal to 1,400. About this market, ask yourself: a) What is the reaction curve of oligopolists? b) What will be the production of each of the companies? c) What is the selling price practiced by oligopolists? d) What is the profit of each of the oligopolists? e) Imagine that one of the companies managed to implement a process innovation capable of halving its Cmg and CVme, so that they would go from 15 to 7.5. This investment implies an additional monthly expense of $1,800. Discuss the statement: "If this situation occurs, the innovative company will not implement variable cost reduction, as the quantity supplied in the market will increase very little; prices will…
- Consider a duopoly with a leader (called L) and a follower (called F). The market demand is given as: P=500-0.25Q, where Q=QL+QF The total cost function for the leader is given as: TCL=0.03QL The total cost function for the follower is given as: TCF=0.1QF All variables are per day, per plant. What is the profit-maximizing quantity for the leader (per day, per plant)? (Note: Round your answer to two decimal pointsA decorator, who is a monopolist, makes two types of specialty picture frames. From experience, the decorator has determined that if x frames of the first type and y frames of the second type are made and put on sale in a showroom, they can be sold for (100 - 2x) dollars and (120 - 3y) dollars each, respectively. The total cost of constructing these frames is (12x + 12y + 4xy) dollars. How many frames of each type should be produced to realize the maximum profit. and what is the maximum profit? Make sure to verify that this is indeed a maximum.There are two ice-cream parols on a beach. The dayly demand for ice-creams is given by Q = 3252 - 7p. The average variable cost of an ice-cream is 83 while the rent of the place is 576. How many ice-creams is one company selling if the two ice-cream stands operate as Cournot duopolists? (Please use 2 decimals in your answer.)
- There are two firms selling differentiated products. Firm A faces the following demand for his product: QA=20-1/2PA+1/4PB Firm B faces the following demand: QB=220-1/2PB+1/4PA PA represents the price set by firm A. PB represents the price set by firm B.Assume that the marginal cost is zero both for firm A and firm B.What are the equilibrium prices of a simultaneous price competition?What would the equilibrium prices be if A is the leader and B is the follower?A manager of a nightclub realizes that demand for drinks is more elastic among students and is trying to determine the optimal pricing schedule. Specifically, he estimates the following average demand for his customer types: Under 25: qr=18-5p Over 25: q=10-2p The two age groups visit the nightclub in equal numbers on average. Assume that drinks cost the club $2 to make. If the manager cannot identify to which group his customers belong, what is the uniform monopoly price? If the manager can identify to which group his customers belong, what price will he charge each group. Assume the manager can only charge a single price to each group. If the manager can charge a separate entry fee and a price per drink for each group, what two-part price will the manager set for reach group. Now suppose that once again it is impossible to identify which group the customers belong. Suppose the manager lowers the price of drinks to equal to marginal cost and still wanted to attract both…A nightclub manager realizes that demand for drinks is more elastic among students, and is trying to determine the optimal pricing schedule. Specifically, he estimates the following average demands: • Under 25: qr = 18 − 5p • Over 25: q = 10 − 2p The two age groups visit the nightclub in equal numbers on average. Assume that drinks cost the nightclub $2 each. (a) If the market cannot be segmented, what is the uniform monopoly price?
- There are two ice-cream parols on a beach. The dayly demand for ice-creams is given by Q = 3079 - 3p. The average variable cost of an ice-cream is 70, while the rent of the place is 966. How many ice-creams is the 'Leader' company selling if the two ice-cream stands operate as Stackelberg duopolists? (Please use 2 decimals in your answer.)Consider a Duopoly model, in which two firms decide a quantity simultaneously. The market demand is given by P=120 - 3Q, where Q is the total output (i.e., Q=Q1+Q2). Each firm has an identical cost function, TCi=12Qi, i=1, 2. If Firm 1 believes Q2=12, Firm 1 should sell Q1= _____ units in order to maximize its profit.Consider a monopolist who is selling his blockbuster drug in two markets where one market is much larger than the other. Suppose the demand in the two markets is given by q1 = 30 − p1 and q2 = 3 − p2 (quantity is measured in millions of complete dosages and price is in your favorite currency) and the marginal cost of production and distribution is roughly the same and equal to 1 per unit (c=1). This problem asks you to compare equilibrium outcomes (prices, quantities, profits, consumer surplus, and consumer surplus per unit of output) when the monopolist can price discriminate across the two markets versus when it must set a uniform price. It then asks you to comment on some recent policy proposals. For each market separately, set up and solve the monopolist’s profit-maximizing problem. Specifically, write down/compute the following. Inverse demand and the profit functions. Equilibrium prices (), quantities () and profits () Consumer surplus () and consumer surplus per unit of…