Scenario: Suppose that the demand is given by: P = 100 - Q Marginal Revenue is MR = 100 - 2Q and Total Cost function is: TC(Q) = 200 Assume the firm is a price-maker (monopolist). What will be the optimal quantity (Q") under the two-part pricing? (Hint: plug the price into the demand equation)
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- There are two movie theaters in the town of Harkinsville: Modern Multiplex (Firm 1) and Galaxy (Firm 2). The demands for each firm are: Q1 = 125 – 3.5P1 + 2P2 and Q2 = 125 – 3.5P2 + 2P1, where quantities are measured in hundreds of moviegoers. Costs per customer are: $4 for Firm 1 and $3 for Firm 2. Instructions: Use no decimals. Use the average cost to calculate monopoly profits. Do not round if values are used to complete other calculations. Use commas (30,000 instead of 30000) Complete the following table. P1 P2 Q1 Q2 Profits F1 Profits F2 Firm 1 colludes, Firm 2 cheats w/ QDC 2,824 Firm 1 colludes, Firm 2 cheats w/ QBRFThere are two movie theaters in the town of Harkinsville: Modern Multiplex (Firm 1) and Galaxy (Firm 2). The demands for each firm are: Q1 = 125 – 3.5P1 + 2P2 and Q2 = 125 – 3.5P2 + 2P1, where quantities are measured in hundreds of moviegoers. Costs per customer are: $4 for Firm 1 and $3 for Firm 2. Instructions: Use no decimals. Use the average cost to calculate monopoly profits. Do not round if values are used to complete other calculations. Use commas (30,000 instead of 30000) Complete the following table. P1 P2 Q1 Q2 Profits F1 Profits F2 Duopoly competition 2,059 Collusion 2,360Q3) How is peak-load pricing a form of price discrimination? Can it make consumers better off? Give anexample.
- 8. A monopolist with cost function c(q) = q faces two consumers whose demand functions are given below. Q₁ = 100-P 50-P Q₂ (a) Suppose the monopolist is a uniform pricing firm (i.e.the monopolist can- not engage in any price discrimination). Find the firm's optimal pricing strategy. Calculate the firm's Lerner index. (b) What is the deadweight loss associated with this pricing strategy, if any? (c) Now, assume that price discrimination is possible. Find the monopolist's optimal second degree price-discrimination strategy. (d) Find the monopolist's optimal third degree price-discrimination strategy.Question 5: Jimmy has a room that overlooks, from some distance, a major league baseball stadium. He decides to rent a telescope for $50 a week and charge his friends and classmates to use it to peep at the game for 30 seconds. He can act as a monopolist for renting out "peeps". For each person who takes a 30 second peep, it costs Jimmy $.20 to clean the eyepiece. Jimmy believes he has the following demand for his service: Price of a Peep $1.20 Quantity of peeps demanded 1.00 90 100 150 200 250 300 70 60 50 350 40 30 400 450 20 10 500 550 a) For each price, calculate the total revenue from selling peeps and themarginal revenue per peep. Price Quantity TR MR $1.20 100 90 100 150 200 70 250 60 300 350 50 40 30 400 450 20 500 10 550 b) At what quantity will Jimmy's profit be maximized? What price will he charge? What will his total profit be? c) Jimmy's landlady complains about all the visitors coming into the building and tells Jimmy to stop selling peeps. Jimmy discovers, though, if he…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"
- 2. A market analysis employed by the "Sad Student Company" reveals that the number of lots of the game named "Handsome Killer: Revenge of the Teacher" ordered by the wholesalers when the game is offered at a price of dollars per lot is given by the formula: p=1500 – 2.5q a) Find the company's total, marginal and average revenues b) Find the price and quantity maximizing the total revenue by first expressing the revenue as a function of price rather than of quantityQ1) 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…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 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 customers, what entry fee would the manager set? Compare the profits earned in parts a) to d). Which scheme would you choose if you could not identify customer type and which would you choose if you could identify customer type.
- You are a consultant who is advising a monopoly on the optimal pricing strategy. Your analysis has yielded the following information. • The marginal cost (MC) is $3. • The demand equation is P = 90 - 3Q . The total cost (TC) is given by 35+ 3Q The marginal revenue (MR) is given by 90 - 6Q Based on this information, answer the following questions. Show FULL calculations! (a) Following the concepts of profit maximization, what is the profit maximizing quantity for this monopoly? (b) Following the concepts of profit maximization, what is the profit maximizing price for this monopoly? (c) Following the concepts of profit maximization, what is the monopoly's profit at the profit maximization point?Suppose inverse demand is given by the following equation: P(Q) = 600 - 20Q Suppose further that you are a monopolist with constant marginal cost equal to 40. How much profit do you earn at the optimal price and quantity? A) 3920 B) 1120 C) 0 D) 4500The following graph gives the demand (D) curve for water services in the fictional town of Streamship Springs. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local water 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. ? PRICE (Dollars per hundred cubic feet) 40 36 32 28 24 20 16 opoly analysis 12 B 1 2 3 7 A QUANTITY (Hundreds of cubic feet) MR 4 ATC -MC- 0 10 D Monopoly Outcome
