Problem 1. Suppose that a monopolist with MC = 0 faces two consumers with demand curves given by D₁ (P₁) = 42 - P1, D₂ (P2) = 21 - 1/2p2 a) Suppose the monopolist can tell the consumers apart. Find the optimal (profit-maximizing) pair of price-quantity packages. b) Please, find the optimal (profit-maximizing) pair of price-quantity pack- ages for the case when the monopolist can not tell the consumers apart.
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- A monopolist faces a demand curve P = 100 – 4Q and initially faces total costTC = 12Q. (a) Calculate the profit-maximizing monopoly quantity and price, and compute the monopolist's total revenue and profits at the optimal price. (b) Suppose that the monopolist's total increases to TC = 44Q. Verify that the monopolist's total revenue goes down. c) Suppose that all firms in a perfectly competitive equilibrium had a combined total cost T C = 12Q. Find the long-run perfectly competitive industry price and quantity. Also what are the combined industry profits and revenue. (Hint: the supply curve is just the marginal cost) (d) Suppose that all firms' total costs increased to T C = 44Q. Verify that the increase in marginal cost causes total industry revenue to go up.. Let the demand curve for a monopolist’s product be P = 100 – 2Qd and the marginal cost of production be constant at MC = 10. Suppose that the firm considers moving from a uniform pricing strategy to a two-block tariff where the first block provides 15 units at a price of P1 = $70 and the second block provides an additional 15 units at a price of P2 = $40. How much does the monopolist’s profit rise with this scheme?A monopolist faces a market demand curve given by Q(p) = 70 – p. Its total costs are described by TC(Q) = 3ố0 Q³ – 5Q + 250. 1 a) Derive the monopoly price, quantity, and profits. b) Calculate Lerner Index under the monopoly equilibrium. c) Now suppose the government sets the maximum price at $40. What output level and price level will the monopolist choose to maximize profits? What is the deadweight loss? d) Suppose the government sets the maximum price at $30. What output level and price level will the monopolist choose to maximize profits? What is the deadweight loss?
- Consider a monopolist facing two consumers with the following two inverse demand functions: P=200-4Q1 and P=122- 6Q2. Assume that fixed costs are zero and that the marginal cost is equal to $8.a) Suppose the monopolist can differentiate between the two consumers. The monopolist decides to use a twoparttariff that permits both consumers to stay in the market. Solve for each consumer’s demand, fixed fee andmonopolist profits. b) Assume the monopolist cannot differentiate between the two consumers and hence cannot apply a two-parttariff. He decides to serve both consumers. Solve for the equilibrium aggregate demand and price in themarket, demand of each consumer and the monopolist profit.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 profit of each of the oligopolists? b) 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 remain very close to what they are today and its profits will not increase"Suppose that a monopolistic seller of designer handbags faces the following inverse demand curve: P= 50 – 0.4q. The seller can produce handbags for a constant marginal and average total cost of $10. Calculate the profit-maximizing price for this seller. Now, suppose the government levies a $4 tax per unit on sellers of handbags. Calculate how this tax will affect the price the monopolist charges its customers and who will bear the burden of this tax.
- 2. Consider a monopolist who has a cost function of c(Q) = 5Q. This monopolist faces two consumers, the first having demand q₁(P₁) = 80 - 2P₁ and the second having demand q₂ (P₂) = 50 - P₂. a) Calculate the profit-maximizing price and then the optimal quantity sold to each consumer under uniform pricing, i.e. the monopolist charges the same price for both consumers. What are the monopolist's profits? b) Suppose now that the monopolist can engage in third degree price discrimination. Find the monopolists profit maximizing prices for consumers 1 and 2 (they should be different), and calculate the monopolist's profits. How do they compare to the profits in part (a)?9. A monopolist produces a good at a constant marginal cost of 4. Suppose the monopolist is able to practice first-degree price discrimination (FDPD). The (in- verse) market demand function for the good is given by P=10-bQ where P is price, Q is quantity and b> 0 is a constant. Let DL(Q) denote the deadweight loss at quantity Q, and let CS(Q) denote the consumer surplus at Q. (a) Under FDPD, the marginal revenue function of the monopolist is the same as the market demand function. Is this true or false? Explain carefully.Q1) Suppose that the inverse demand for a product is represented by the equation P = 50 – Q, where P is the price in Euros and Q is the annual output. Suppose that only one firm produces this product and that the marginal and average cost is €10. Calculate the profit-maximising price for this monopolist. Q2) In autumn, Erling Kagge, who lives alone on an island near the North Pole, puts 50 bags of root vegetables from his harvest into a cave just before a family of polar bears goes in to hibernate. The polar bears do not eat vegetables but would attack Kagge if he approached them. As a result, he is unable to get the vegetables out before the polar bears emerge the following spring. The vegetables spoil at the same rate no matter where he stores them. Which of the following statements best describes this behaviour? A. Kagge’s behaviour is an example of the anchoring effect in action B. Kagge’s behaviour is an example of the framing effect in action C. Kagge’s…
- The following graph shows the demand (D) for cable services in the imaginary town of Utilityburg. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local cable company, a natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist. Which of the following statements are true about this natural monopoly? Check all that apply. It is more efficient on the cost side for one producer to exist in this market rather than a large number of producers. The cable company is experiencing economies of scale. The cable company must own a scarce resource. The cable company is experiencing diseconomies of scale. True or False: Without government regulation, natural monopolies never earn zero profit in the long run. True FalseConsider 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…The diagram at right shows the demand curve, marginal revenue curve, and cost curves for a single-price monopolist that owns the only golf courses on Eagle Island. The monopolist's product is 18-hole golf games. a. Now suppose the monopolist is able to charge a different price on each different unit sold. What would be the total number of rounds of golf sold per week? rounds. (Round your response to the The total number of rounds sold per week is 600 nearest whole number) What would be the price on the last round sold? The price on the last round sold is $200 (Round your response to the nearest dollar) b. What is the value of the consumer surplus if the monopolist cannot price discriminate at all? The value of the consumer surplus is $ 40000 (Round your response to the nearest dollar) c. What is the value of the consumer surplus when the monopolist is practicing this "perfect price discrimination? The value of the consumer surplus is $ (Round your response to the nearest dollar) Price…